THERELEVANCEOFPHYSICS:ACRITICALLOOKATTHEWAYSINWHICH STUDENTSFINDMEANINGININTRODUCTORYPHYSICS By AbhilashNair ADISSERTATION Submittedto MichiganStateUniversity inpartialful˝llmentoftherequirements forthedegreeof PhysicsDoctorofPhilosophy 2018 ABSTRACT THERELEVANCEOFPHYSICS:ACRITICALLOOKATTHEWAYSINWHICH STUDENTSFINDMEANINGININTRODUCTORYPHYSICS By AbhilashNair Therelevanceofphysicsisanactivelineofinquirywithinthephysicseducationresearch(PER) community.Manystudieshaveshownthatphysicsinstructiontypicallynegativelyimpactsstu- dents'senseoftherelevanceofphysicstotheirlives.Irrespectiveofstudents'beliefs,physics iscommunicatedasbeingrelevantthroughpolicyrecommendationsandprogramrequirements. Untilnow,moste˙ortsinPERtomeasureorinterpretstudents'beliefsaroundrelevancehavebeen limitedtoattitudinalandepistemologicalsurveysthatprovideanincompletepictureandtendsto promotede˝citinterpretationsofstudents'abilities.We˝rstchallengenotionsofthe"realworld" and"everydaylife"thatareubiquitousincurrente˙ortstounderstandrelevance.Thesephraseslack meaningandweusecasestudiesofstudentstoargueforanexpandedholisticviewofrelevance. Wethenintroduceaframeworkthataccomplishesviewingrelevanceinanexpandedfashionby adaptingecologicalsystemstheory.Wetracestudents'experiencestoarguethatthisframework providesaricherpictureofwhatitmeansforphysicstoberelevanttoastudent.Finally,wepresent alongitudinalcasestudyofastudentwhoexperiencesaremarkabletransformationinhisviewof physics.Throughthelensofrelevance,wearticulatetheconnectionshemakesduringhisjourney throughintroductoryphysics.Theseconnectionsendupbeingcriticalforalastingimpactthat empowershimtopromotetherelevanceofphysicstoothers.Weargueinthisdissertationthatusing thisframeworkofrelevance,physicseducatorscanstarttodesignclassroomsthatfacilitatemore positivea˙ectiveandattitudinalexperiencesforstudents.Throughrelevance,physicsclassrooms canbecomeinclusiveandengagingenvironmentsforstudentstoforgelastingconnectionstoa discipline. IdedicatethistothememoryofmycatColawhopassedlastyear. Shewasmybestfriendandroommateforoveradecade.Colaaccompaniedmethroughevery majorstruggleandaccomplishmentandI'msorryshewasn'tabletoseemegetthis˝naldegree. Shewouldhavebeenunimpressed. iii ACKNOWLEDGEMENTS Iwanttothankmydissertationcommitteefortheirsupportindevelopingthiswork.Iwanttothank PERL@MSUandANSERresearchgroupsforgivingmethespacetosharetheseideas,forthe criticalfeedbackthathelpedmakemyworkstronger,andforgivingmeasenseofcommunityand belonging. IwanttothankmyadvisorVashtiSawtellewithoutwhomthisworkwouldnothavebeen completedorevenstarted.Sheprovidedmewithuncompromisingadvisingandhelpedshapemy nascentideasintoafull-˛edgedresearchprogram.AnyonewhoknowsVashtiknowsthatshecares forherpeople.Iconsidermyselffortunatetobeoneofthem. IwanttothankPaulIrvingforbeingmysourceofrigorandholdingmetohighstandards, underthatpressureIwasabletoproducesomeofmybestwork.IwanttothankPaulandLeanne forbeingmy˝rstsetoffriendsatPERLthatIcouldhaveadrinkwith,Iwillneverforgetthemany nightsattheRivorPT's.Youmademefeelpartofthegroup,andasLeannewouldsay,Ithink youbothare lovely . Iwanttothankmystudents,youwerethehighlightofmydissertationprocess.Theexperiences yousharedandthestoriesyoutoldarethecoreofmydissertation.Iwillalwaysbere˛ecting backonyoursuccessesandaccomplishmentswithasmile,Iamproudofeverysingleoneofyou. Neverletphysicsoranyotherdisciplineintimidateyou,justrememberthatyoubelongandkeep persisting. IthankmyfellowgraduatestudentsthatwerewithmethroughmytimeatPERL.Alanna,Tall Paul,Kelsey,May,Mike,Laura,Brean,andNickougavemeasenseofcommunity.Iwant tothankAshleighforbeingafriendduringdarkdaysandcontinuingtoreachoutsothatIdidn't disappear.IwanttothankAlannaforbeingakindandunderstandingfriend,andasInearedthe endofmydissertationacompatriotwhotrulyunderstoodthegrind. IwanttothankAngie,youwereoneofthe˝rstpeopleIhadlunchwithatPERL,andfromthat dayon,youwereanamazingsourceofsupport.YoutoldmemyideasweregoodwhenIdoubted iv myself.YoutoldmetokeeppursuinganideawhenIthoughtnoonewouldbeinterestedinit. AnyonewhohasgonethroughthephysicsPhDprogramsince2015knowshowimportantKim CrosslanhasbeentotheirsuccessandyetI'm˝ndingthatIcannotexpressfullyhowmuchKim meanstome.Kimhasrepeatedlyandconsistentlyshownmepatience,love,andcompassion.She haslookedaftermeasifIwereherownfamily,andforthatIwillbeforevergrateful.Iwentto KimwheneverIneededhelp;shewastrulyalife-lineandacon˝dant.Kimalwaysmadetime formewhetherIneededtoventorcry.Sheismuchmorethanasta˙-memberofthephysics departmentme,sheisfamily.Doingworkthatmadeherproudwasoneofmymostcherished achievementshereatMSU. Iwanttothankmybestfriend,partnerincrime,andwifeRachel.YouarethereasonIever appliedtoMSU.Youhavegivenmeunwaveringsupporttopursuemypassionsandyouinspireme everyday.Youarebeautifulinsideandout,andIamluckytohavegottentoknowyouduringthat blizzardinChicago.Youaremyeverything. Finally,Iwanttothanktheprofessorsthatdoubtedmyability,denigratedmyidentity,or otherwisetoldmeIdidn'thavetheaptitudeforphysics,research,orsciencesincerelycould nothavedonethiswithoutyou.Iusedmemoriesofyourwordsandactionsasfuelthroughoutmy journey.Ikeptthesepoisonousmemoriesaliveinsideme,andasIcompletemy˝naldegree,Ican ˝nallyletgoofthesememoriesandyouwillbeforgotten. v TABLEOFCONTENTS LISTOFTABLES ....................................... x LISTOFFIGURES ....................................... xi CHAPTER1INTRODUCTION ............................... 1 1.1Structureofthedissertation..............................2 1.2Evolutionofideasthroughthedissertation......................4 CHAPTER2BACKGROUND ................................ 5 2.1Notionofrelevance..................................5 2.2Attitudinal&beliefsurveysinPER..........................5 2.3Thetheoreticalorganizationofrelevance.......................6 2.4Adaptingecologicalsystemstheory..........................7 CHAPTER3METHODOLOGY ............................... 9 3.1Coursecontext:BLiSSPhysics............................9 3.2Studydesignconsiderations..............................10 3.2.1Casestudies..................................10 3.2.2Embeddingwithinalargerdesign-basedresearche˙ort...........11 3.2.3Researcherroles................................12 3.3Participantrecruitment&selection..........................12 3.4Datacollection&analysismethods..........................14 3.5Validity........................................17 3.5.1Researcheridentity..............................17 3.5.2Issuesofpower&in˛uence.........................18 3.5.3Validityofclaimsfromcasestudies.....................18 3.6Limitations......................................19 CHAPTER4RELEVANCEINTHEREALWORLD&EVERYDAYLIFE ........ 20 4.1Usingdisciplinaryperspectivestore˝neconceptionsofthe"realworld"......20 4.1.1Introduction..................................20 4.1.2TheoreticalFramework............................20 4.1.3Methods....................................22 4.1.4"Beverly"...................................22 4.1.5"Maria"....................................24 4.1.6"Miles"....................................27 4.1.7DiscussionandConclusion..........................29 4.2Anuncommoncaseofrelevancethrougheverydayexperiences...........30 4.2.1Introduction..................................30 4.2.2TheoreticalFramework............................31 4.2.3Methods....................................32 4.2.4Sam......................................33 vi 4.2.5ClassroomactivitiesintersectingwithSam'slivedexperiences.......33 4.2.6Socialactivities&peerssupportSamtoseetheworldthroughthelens ofphysics...................................35 4.2.7Discussion&Conclusion...........................38 4.2.8ImplicationsforFutureWork.........................39 CHAPTER5OPERATIONALIZINGRELEVANCEINPHYSICSEDUCATION:US- INGASYSTEMSVIEWTOEXPANDOURCONCEPTIONOFMAK- INGPHYSICSRELEVANT .......................... 40 5.1Introduction......................................40 5.1.1Whatweknowaboutrelevance........................41 5.1.2Howphysicseducationresearchhasprobedrelevance............42 5.1.2.1MPEX-RealityLink........................43 5.1.2.2CLASS-PersonalInterest&RealWorldConnection.......43 5.1.2.3VASS-PersonalRelevance....................44 5.1.2.4EBAPS-Real-lifeApplicability..................44 5.1.3De˝cit-basedinterpretationsofstudentbeliefsaroundrelevance......45 5.1.4Anincompletepictureofrelevance......................48 5.2TheoreticalFramework................................49 5.2.1Positioningrelevanceasatheoreticalconstructamongstattitudes&beliefs49 5.2.2Adaptingecologicalsystemstheory.....................51 5.2.2.1Structure&OrganizationofEcologicalSystems.........52 5.2.3Relevancethroughtransformationofparticipation..............55 5.3Methodology.....................................55 5.3.1Studio&IPLSclassroomsarerichcontextstostudyrelevance.......55 5.3.2DataCollection................................56 5.3.3AnalysisMethods...............................58 5.4"Maria"........................................59 5.4.1DescribingMariawithecologicalsystemstheory..............60 5.4.1.1Maria'smicrosystem........................61 5.4.1.2Maria'smesosystem........................61 5.4.1.3Maria'sexosystem.........................61 5.4.1.4Maria'smacrosystem........................62 5.4.2InteractionsbetweenphysicsandmicrobiologyinMaria'smesosystem...63 5.4.2.1Maria'sevolvingsenseofrelevance................64 5.5"Nicole"........................................67 5.5.1Nicole'sperspectiveontherelevanceofphysics...............68 5.5.1.1Relevancebetweencomputationalmodeling&physics......68 5.5.1.2MesosystemInteractionsBetweenPhysics&Biochemistry....71 5.5.1.3MesosystemInteractionsBetweenPhysics&EukaryoticCell Biology...............................72 5.5.2Situativeperspectiveoftheco-constructionofrelevance..........73 5.5.2.1Relevancebetweencomputationalmodelingandphysics.....74 5.5.2.2Relevancebetweenbiochemistryandphysics...........77 5.6Discussion.......................................80 vii 5.6.1Relevanceisco-constructedbystudentsandtheirenvironments.......81 5.6.2Ecologicalsystemstheoryasamotivationforholisticreforms.......82 5.6.3Theimportanceofprovidingspaceforstudentstobringthewholeof theirdisciplinaryselvesin..........................83 5.7Implications......................................84 5.7.1Revisitingourtoolstomeasurerelevance..................84 5.7.2Expandingthegoalsofdesigningcoursesforrelevance...........85 5.8Acknowledgements..................................85 CHAPTER6TRULYNOTAFRAIDOFPHYSICSANYMORE:TRANSFORMATION FROMFEARINGPHYSICSTOAMPLIFYINGITSRELEVANCE .... 87 6.1Introduction......................................87 6.1.1Thenegativeperceptionofphysics......................87 6.1.2Physicsforthelifesciencesasanexemplarcontext.............87 6.1.3IntroducingMiles...............................89 6.2Methodology.....................................89 6.2.1Coursecontext................................90 6.2.1.1Explicitfocusona˙ect.......................90 6.2.1.2Mixedinstructionalteam......................90 6.2.1.3Authenticbiologicalcontext....................91 6.2.1.4Studentsasdisciplinaryexperts..................91 6.2.1.5Modelingbiologicalcomplexitythroughcomputation......91 6.2.2Datacollection................................92 6.2.3Analysismethods...............................93 6.2.4TheoreticalFramework............................94 6.2.4.1Relevance..............................94 6.2.4.2EcologicalSystemsTheory....................94 6.3Act1:Fearfulreverenceofphysics..........................95 6.3.1Miles'sinitialmesosystem..........................98 6.4ActII:Physicsasfrustrating&asensemakingtool.................100 6.4.1Familiarfrustrationswithphysics.......................100 6.4.2PhysicscanserveMiles'sneedtovisualize..................103 6.4.3Physicsasaspacetobringinoutsideknowledge...............106 6.4.4PhysicsservesMiles'svaluesfordeepunderstanding............107 6.4.5GrowthofconnectionsinMiles'smesosystem................112 6.5ActIII:Milesasanampli˝eroftherelevanceofphysics...............113 6.5.1Reinforcingconnectionsofstudents.....................114 6.5.2Milesispositionedasanexpertintheclassroom..............115 6.5.3Increasedcon˝denceandclarityofconnections...............116 6.5.4Powerfulimpactsofagrowingsenseofrelevance..............119 6.5.5Re˛ectingontheevolutionofMiles'smesosystem..............120 6.6Discussion.......................................120 6.7Implications......................................121 6.7.1Framingphysicsasfundamentalisdetrimentaltopromotingrelevance...122 6.7.2Positioningstudentsasdisciplinaryexpertsisapowerfulpedagogicalshift.122 viii 6.7.3Discomfortofteachingwithouthavingalltheanswers...........123 6.8Acknowledgements..................................124 CHAPTER7DISCUSSION ................................. 125 7.1Currentunderstandingofrelevance..........................125 7.1.1Ourchoiceofsettings.............................125 7.1.2Ourchoiceofsystems.............................126 7.1.3Revisitingearlycaseswithourcurrentview.................126 7.2ThisworkrelativetothewaysPERhasreportedonrelevance............127 CHAPTER8IMPLICATIONS ................................ 131 APPENDICES ......................................... 134 APPENDIXAREAL-TIMEVISUALIZATIONOFEQUIPOTENTIALLINES USINGTHEIOLAB ......................... 135 APPENDIXBCOURSEQUESTIONNAIRE .................... 139 APPENDIXCELASTICCOLLISIONIN1-DIMENSION ............. 149 APPENDIXDMODELINGCHEMICALREACTIONS-HANDOUT ....... 151 APPENDIXEMODELINGCHEMICALREACTIONS-MINIMALLYWORK- INGPROGRAM ........................... 153 APPENDIXF3DCOLLISION:KEEPINGPARTICLESINABOX-HANDOUT158 APPENDIXG3DCOLLISION:KEEPINGPARTICLESINABOX-MINI- MALLYWORKINGPROGRAM ................... 160 APPENDIXH3DDIFFUSION:TRACKINGPROTEINS-HANDOUT ...... 163 APPENDIXI3DDIFFUSION:TRACKINGPROTEINS-MINIMALLYWORK- INGPROGRAM ........................... 165 APPENDIXJINSANEINTHEMEMBRANEPART1:OIL&WATER ..... 170 APPENDIXKINSANEINTHEMEMBRANEPART2:LIPIDBILAYERS .... 173 APPENDIXLTRANSCRIPT:MARIAINTERVIEW1 ............... 176 APPENDIXMTRANSCRIPT:MARIAINTERVIEW2 ............... 184 APPENDIXNTRANSCRIPT:MARIAINTERVIEW3 ............... 213 APPENDIXOTRANSCRIPT:MARIAINTERVIEW4 ............... 237 APPENDIXPTRANSCRIPT:MILESINTERVIEW1 ............... 259 APPENDIXQTRANSCRIPT:MILESINTERVIEW2 ............... 268 APPENDIXRTRANSCRIPT:MILESINTERVIEW3 ............... 309 APPENDIXSTRANSCRIPT:MILESINTERVIEW4 ............... 348 APPENDIXTTRANSCRIPT:NICOLEINTERVIEW1 .............. 382 APPENDIXUTRANSCRIPT:NICOLEINTERVIEW2 .............. 408 APPENDIXVTRANSCRIPT:NICOLEINTERVIEW3 .............. 428 APPENDIXWTRANSCRIPT:SAMINTERVIEW1 ................ 432 APPENDIXXTRANSCRIPT:SAMINTERVIEW2 ................ 449 BIBLIOGRAPHY ........................................ 469 ix LISTOFTABLES Table3.1:Pseudonyms,majors,andpreviousphysicsexperiencesforselectedcasestudents.13 x LISTOFFIGURES Figure3.1:TwoselectedexamplesofMAXQDAMAXMapsshowinghowthecourse questionnairewascodedtosupportparticipantselection.Codesareconnected tothecorrespondingopen-responsefromthequestionnaire.Allratingsare self-reportedusingeithera5or10-pointscale...................15 Figure3.2:Thedatacollectiontime-linefortheproject.DuringYear2,somecase studentsthatcompletedtheFallsemesterofBLiSSPhysicswereenrolledina di˙erentphysicscourseintheSpringsemester.20interviewsinYear1were conductedbyothermembersoftheresearchteamandIcompletedtherestof thedatacollection.Thisallowedmetohaveauniqueanddeepunderstanding ofthecoursecontextanditsstudents........................16 Figure5.1:Arepresentationofrelevanceconsistingofmultipleattitudesandbeliefs.This isnotintendedtobeanexhaustivelistofallbeliefsandattitudesthathelpform asenseofrelevancebutservestogiveanexampleofsuchanorganization. Multiplebeliefs(inferredbybeliefstatements)areorganizedintoattitudes. Multipleattitudesconstituteasenseofrelevance.Beliefstatementsare usedtoinferbeliefsinthisstructureastheyarethemostreadilyaccessibleto researchersmeasuringstudents'beliefs.Thisorganizationofrelevancealigns with(1)thestructureofprevioussurveymeasuresofrelevanceinPERand (2)Rokeach'stheoreticalorganizationofbeliefs..................50 Figure5.2:AvisualrepresentationofBronfenbrenner's[22]organizationofecologi- calsystemstheoryasasetofconcentricsystemsencompassinganindivid- ualvingoutwardfromthecenterarethemeso-,exo-,and macrosystems....................................53 Figure5.3:Thetime-lineofdatacollectionforthecasestudiespresentedinthispaper, NicoleandMaria.BothstudentstooktheBLiSSPhysicscourseintheFall semesterandadi˙erentsecondsemesterphysicscourseintheSpring.In Year1ofthisstudy,in-classvideowasrecordedoffocalgroupsworking throughaunitondi˙usion.InYear2,focalgroupswererecordedthroughout theentiresemester.This˝gurerepresentsasubsetofamuchlargerresearch studythatfollowedover25studentsacrossthe2years..............57 Figure5.4:Maria'smicrosystemandmesosystem.WhilethewholeofMaria'sexperi- encescanneverbecapturedinanydiagram,this˝gurerepresentsareasof Maria'slifethatweconsiderimportanttoexploringtherelevanceofphysics toMaria.......................................62 xi Figure6.1:ArepresentationofconnectionswithinMiles'smesosystemashestartshis ˝rstsemesterofphysics.Thesettingsrepresentedincludethecourseshe's enrolledinaswellashisextracurricularactivities.AdvancedBiochemistry andOrganicChemistryLabaretwocoursesthatarewellconnectedtoother settings;Milesworksasatutorinthesetopicsaswellasconductingresearch thatutilizesbothdisciplinaryareas.Incontrast,physicsexistsasalargely mysteriousentity(representedwithadottedoutline)withwhichMileshas littleexperienceotherthanknowingthatphysicsisimportantandthatithas areputationforbeingdi˚cultandstressful....................99 Figure6.2:ArepresentationofconnectionswithinMiles'smesosystemashe˝nishes twosemestersofphysics.Whencomparedtohismesosystemintheprevious section(Fig.6.1),physicshasmanymoreconnectionstoothersettingsMiles engagesinincludinghisjobasanMCATtutorandasatutorattheuniversity formultiplelifesciencecourses.Milesnowpointstophysicsasprovidinga newviewontheworldaroundhimaswellashelpinghimconstructdeeper explanationsofconceptsinlifesciencecourses..................113 xii CHAPTER1 INTRODUCTION Itracetheoriginsofthequestionstackledinthisdissertationtoamemoryofmytimestudent teachingahighschoolhonorsphysicscourse.Theclasswasworkingonavectoradditionexercise presentedwiththecontextofgivingdirectionstotravelbetweentwolocationsonamap.Astudent wasrefusingtodothein-classactivity.WhenIapproachedher,shestatedthattherewasn'ta pointindoingthisactivityandaskedmewhenshe'deverneedthisinformation.Webothlaughed. Shewasaverycapablestudentunwillingtospendtimedoinganactivityshebelievedtohave littlereturnonherinvestmentoftimeande˙ort.Shewasalsoahighschoolstudentinterested inpushingtheboundariesofmytemporaryauthorityinherclassroom.Iwasanervousstudent teacherwithextensiveexperienceonwhatitmeanttodophysicsandfeltcon˝dentinmyabilityto convinceheroftherelevanceofphysics.Iproceededtoo˙erupalitanyofreasonswhythisphysics activitymayberelevanttoherlifeorherfuturecareerandeachreasonwasmetwithconvincing counter-argumentsfromthisyoungstudent.Afterfailingtoconvinceher,Ihadexhaustedmyown willpowerand,unbeknownsttoher,Iwasstartingtoagreewithher.Resigned,Iasked,"Well,can youworkonitanyway,asafavortome?""Okay"shesaidsimplywithasmileandgotstarted. Idonotincludethisstoryasarepresentationofgoodteachingpracticeorclassroomman- agement.Instead,Iusethisstorytohighlightseveralinsightsthatwillberevisitedthroughout thisdissertation.First,thereisfarfromuniversalagreementaboutthenotionthatphysicsisrele- vanttoone'slife.Second,studentshavelegitimatereasonsfortheirhavingcertainbeliefsabout physics.Students'beliefsareneverade˝citthatneedstobe˝xedbutrathercanbere˛ectiveof theirexperiencessofar.Third,designingtowardbuildingrelationshipsintheclassroomcanbea powerfulmediatorforengagement.Inthisspeci˝ccase,therapportIhadbuiltwiththisstudent wasimportanttoher˝nallystartingwork. Shortlyaftermystudentteachingsemesterwasover,Istartedmyworktoexploretherelevance ofphysicsattheintroductorylevel.Physicsisrepresentedasrelevanttoundergraduatestudentsin 1 severalways:programrequirementsformanySTEMdegrees,throughinclusionintheMCAT,and throughnationalpolicyrecommendationsfortheintegrationofknowledgeandpracticesacrossthe disciplines Physicseducationhasplacedsigni˝cantemphasisonreforminginstructionforimprovedstudent understandingandforimprovedstudentattitudesandbeliefsSuccessinthesetwoareasof focusarestrikinglydi˙erent.PER'sbodyofliteraturere˛ectsalargelyuniversalacceptancethat research-backedinstructionalstrategiescananddoimprovestudentunderstanding.Incontrast, thereisnosuchuniversalacceptanceofwaystopromotestudentattitudesandbeliefstoward physics.Infact,itisthestatus-quoofPERthatstudentswillleavethephysicsclassroombelieving thatphysicsislessconnectedtotheirlivesthanwhentheyentered[8]. Theoverwhelmingmajorityofthosethatenrollinintroductoryphysicscoursesarenotphysics majors.Studentsmajoringinthelifesciencescompriseoneofthelargestportionsoftheenrollment inintroductoryphysicsatmostlargeinstitutions[11].Itisimportantforthesustainabilityofthese physicsdepartmentsthatmanydegreeprogramscontinuetoincludephysicsasarequisitecourse anddeemphysicsknowledgetoberelevanttotheirstudents.Thisputstheimportanceoffocusing ontherelevanceofphysicsintoperspective.Itisnotsimplyanabstractintellectualpursuitbutrather criticaltothelivelihoodofphysicsprogramsthatrelyonalargenon-majorstudentenrollment. 1.1Structureofthedissertation Thisdissertationiscenteredaroundfourqualitativeresearchstudiesthatexploretherelevance ofphysicsinasteppedmanner. WestartinChapter4withthewaysinwhichrelevanceismeasuredinPERthroughcommonly usedpre-to-postattitudinalandbeliefsurveys.Wecritiqueandexpandontheareasofstudents'lives thesesurveysintendtomeasure,focusingontwoareasregularlyreportedasshowingadeterioration instudents'beliefsafterinstruction.Wethenoperationalizeamoreexpansiveframeworkfor relevanceinChapter5.Finally,weapplythisframeworktocharacterizeadramatictransformation inastudent'sviewofphysicsinChapter6. 2 Chapter4consistsoftwopublishedpapersexaminingissueswithhowrelevanceismeasured andinterpretedincommonlyusedsurveysinPER.The˝rstisapublishedstudyweconducted tocritiquethenarrowconceptionofthe"RealWorld"asusedbythesesurveys[12].Wesuggest thatthisphrasehaslittleconcreteuniversalmeaningamongststudents,andthatitmostlyrefersto anabstractedsenseofthe"naturalworld."Students'realworldsduringtheirtimeinintroductory physicscanincludedisciplinaryexperiencesthatpushonthisde˝nition.Thesecondhalfofthe chapterisapapercurrentlyin-pressofcasestudyofastudent,Sam,reportingtherelevanceof physicsthrougheverydayexperiences[13].Thisisanunder-reportedformofrelevanceinthe PERliterature.Itinfactiscommonto˝ndexamplesofstudentslaughingattheimplicationthat physicsmayberelevanttotheireverydaylives[12,14].Wedescribethesettings,roles,and relationshipsthathelpedSamforgetheseconnections,suggestingthatallowingstudentstobring thoseexperiencesintotheclassroomcanbeawaytofosterthesemomentsofrelevancethrough everydaylife. WhileChapter4outlineslimitationsandchallengestoPER'scurrentviewofrelevance,we operationalizeamoreexpansiveframeworkofrelevanceinChapter5.Thischapterconsistsof apaperoutliningaframeworkforoperationalizingrelevance[15].Weadaptecologicalsystems theoryandtheorganizationalstructuresofattitudesandbeliefstoproposeanewframeworkof relevancewhichcapturesamorecompleteandricherrepresentationofrelevance. Chapter6consistsofalongitudinalcasestudyofastudentwhoinitiallyentersthephysics classroomwithfearandanxiety.Weuseourframeworkofrelevancetoexplorehistransformation fromfearingphysicstopromotingtherelevanceofphysicstoothersoverthecourseofthree semesters. InChapter7wedescribetheconclusionsfromthethreepreviouschaptersasstep-wiseexplo- rationsoftherelevanceofphysics.WeoutlinedtheneedforanewapproachtorelevanceinPER (Chapter4),operationalizedanewframeworkofrelevance(Chapter5),andappliedthatframework topointtomechanismsofatransformationinastudent(Chapter6). 3 1.2Evolutionofideasthroughthedissertation ThestudiesthatformChapters4,5,and6werewrittenacrossanearlythree-yearspan.Theideas presentedunderstandablyevolvewithtime,thissectionisaimedathelpingthereaderunderstand howideashavechanged. Chapter4.1marksmy˝rstpublishedexplorationofrelevanceinphysicseducation.During thattime,themodelofrelevancewasbuiltuponwhathadpreviouslybeenstudiedinPERusing attitudinalandepistemologicalsurveys.Aconsequenceofthisisthatrelevanceiscon˝nedinto di˙erentcategorieswhichrepresentdi˙erentmanifestationsofrelevanceinstudents'lives. Chapter4.2continuestodescriberelevancecon˝nedtospeci˝careassuchasEverydayLife. Itpushesonthecommonnarrativethatstudentsinphysicswillrarelyreportthinkingofordoing physicsintheireverydaylives.Byusingacasestudy,wedescribethesigni˝cantsupportsrequired inastudent'slifetoargueforanexpansionofthegoalsofanintroductoryclassroomtoincludethe inclusionandvalidationofoutsideexperiences.Previousworkonintroductoryphysicsconnecting toeverydayexperienceslimitedtheattentiontothedomainofthephysicsclassroomandfocusedon howinstructioncanbereformedtoa˙ectstudents'views.Iexpandmyviewofrelevancethrough everydayexperiencestoincludeareasofstudents'livesoutsideoftheclassroomsuchaspeerand socialgroups. Chapter5marksadramaticexpansioninthemodelofrelevanceused.Ishiftawayfrom pre-determinedbinsofareasofstudents'livesthatwehaveseendescribedinPERsurveys.I, instead,movedtowardsmappingareasofstudents'liveswherephysicsmayberelevant.Iadapt representationsfromecologicalsystemstheorytodescriberelevanceasmanifestedbyconnections acrossdi˙erentsettingsinstudents'lives. Chapter6continueswiththesameframeworkasthepreviouschapterandappliesittoexplain howasigni˝canttransformationmayhaveoccurred.Iuserelevanceasalensforunderstanding howastudentcanshifttheirviewsofphysicsfromoncefearingittoultimatelyembracingit.This chaptermarksthedeparturefromusingconcentriccirclestorepresentthenestedsystemstoamore detailedmapofthesettingsinastudent'slifeandtheconnectionsbetweenthem. 4 CHAPTER2 BACKGROUND Thischapterprovidesasummaryofthebackgroundcontexttothestudiespresentedinthisdisser- tation.Whiletheseareaswillbedescribedinmoredetailintherelevantchapters,itisinstructive tohaveanoverviewofthecontextwithinwhichthisworkexists. 2.1Notionofrelevance Oneofthechallengesofstudyingaconstructsuchasrelevanceisthatthereisnotaclearuniform de˝nition.Scholarsofrelevancehavenotedthatalthoughthespeci˝cde˝nitionofrelevancemay shiftto˝ttheneedsofspeci˝capplications,themainqualityofrelevanceisthatitrepresentsa relationshipbetweenaparticipantandthesubjectinquestion[16,17].Inourcase,relevanceexists betweenastudentandphysics. Whilethespeci˝cde˝nitionofrelevancemaydi˙eracrosscontexts,weseemuchmoreuniform agreementinhowrelevancehasbeencommunicatedinscienceeducation.Relevancehasbeenused toshapepolicyrecommendationsinthiscountryfordecadesaroundpreparingstudentsforcareers, helpingstudentsunderstandscienceanduseitintheirlives,andtopromotestudentsbecoming scienti˝callyliterateandproductivecitizensinsociety[18]. Throughoutthisworkournotionofrelevancewillbefocusedontherelationshipbetween thestudentandphysics.Wewillarguethatyoucanobserveormeasurethissenseofrelevance throughconnectionsacrossthesettingsthatstudentsexperiencedirectly.Thesesettingscaninclude di˙erentclassrooms,familyorpeergroups,oranyotherenvironmentinwhichtheyreportreaching forideasorpracticesfromphysics. 2.2Attitudinal&beliefsurveysinPER Physicshaslookedatseveraldi˙erentareasofrelevancethroughattitudinalandbeliefsurvey measuresthataregiventostudentspre-and-postinstruction.Shiftsinstudentresponsesare 5 thenreportedaspositiveifresponsesbecomemoreexpert-likeafterinstructionandnegativeif theybecomelessexpert-like.WefocusourattentionontheColoradoLearningAttitudesabout ScienceSurvey(CLASS),MarylandPhysicsExpectationsSurvey(MPEX),EpistemologicalBeliefs AssessmentforPhysicalScience(EBAPS),andViewsAboutScienceSurvey(VASS)[4,5,19, 20]. ThesefoursurveymeasuresmakeuptheprimarywaysPERhasevaluatedthee˙ectiveness ofspeci˝ccurriculaandpedagogytopromoteapositive(expert-like)shiftinstudents'responses. Withinthesemeasuresofattitudes,thefocusofresearchonrelevancehasprimarilyfocused on:physicsbeingofuseinstudents'futurecareers,physicsbeingconnectedtotheworldin whichstudentslive,studentsreportingphysicsenteringtheireverydaylives,andstudentsreporting apersonalinterestinlearningordoingphysics.Chapter4criticallyexamineshowPERhas traditionallyexploredrelevancethroughthesefocusareas. ThesurveysaretypicallystructuredasindividualLikert-stylestatementsthatstudentsendorse withtheirlevelofagreement.Theseindividualquestionsarethengroupedusingclustering techniquestoarriveatclustersoftopicsthesurveyisintendedtoprobe.Someoftheseclustersdo notrelatetorelevancebuteachsurveyhasatleastoneclusterofquestionsdedicatedtoprobing therelevanceofphysics.AswewilldiscussinmoredepthinChapter5,thereareissueswiththe interpretationoftheresultsfromtheseclustersthatsuggestthatPER'scurrentmeasureofrelevance isnotcompleteandoftenreliesonde˝cit-framing. 2.3Thetheoreticalorganizationofrelevance ThedesignofPERsurveysbeliesanorganizationalstructuretoitsmeasurement.Individual questionsaskstudentstoendorsebeliefstatements,thesearethenorganizedtoformahigherorder grouping(attitudes).Thus,eachclustercanbethoughtofasmeasuringanattitude.Thisagrees withanorganizationalstructureforbeliefsandattitudesthatRokeachoriginallyproposedin1968 [21].Weorganizerelevanceasahigherorderstructureontopofattitudes,suchthattherelevance ofphysicsiscomposedofoneormoreattitudestowardphysics.Eachattitudecomposedofoneor 6 morebeliefsaboutphysics.DetailsofthisorganizationwillbediscussedinChapter5. 2.4Adaptingecologicalsystemstheory EcologicalsystemstheorywasintroducedbyUrieBronfenbrennerin1979todescribehuman developmentasaconcentricorganizationofsystems[22].Astudent'slifecanberepresentedinthis frameworkasanecologyofsystems,thesystemsontheperipherybeingmoredistantininteraction whiletheinnersystemsaredirectlyexperiencedbythestudent.Weuseecologicalsystemstheory tohelpmapconnectionsbetweenthevarioussettingsinastudent'slife. Themeaningof"settings"isintentionallybroad.Settingscanincludeavarietyofenvironments dependingonthescaleoftheresearchquestion.Ifonewereinterestedindynamicsbetweenhome lifeandacademiclife,youcanimaginethatonecanrepresentthewholeofacademiclifeasone setting.Ifinstead,youareinterestedinexploringconnectionsbetweencoursework,eachcoursecan representasetting.Thegrain-sizeofinquirycanberepresentedinthedescriptionofthesettings. Connectionsbetweenphysicsandotheraspectsofastudent'slifewillbeplaceswherea senseofrelevancecanbepromotedorhindereddependingonthenatureoftheconnection.To dothiswork,wefocusourattentionprimarilyonthetwoinnermostsystems:themicrosystem andthemesosystem.Themicrosystemencirclestheindividualandrepresentsthesettings,roles, andrelationshipsapersondirectlyexperiences.Themesosystemrepresentedconnectionsacross settingswithinthemicrosystem.InChapter5weshowthattherelevanceofphysicstoastudent's lifeisdirectlyattributableandcharacterizedbytheconnectionspresentinthemesosystem. Weareadaptingthesystemsviewrepresentationfromatheoreticalviewonhumandevelopment thatisnearly40yearsoldasofthiswriting.SinceUrieBronfenbrennerpresentedthisworkin1979, muchworkhasbeendonetopushourunderstandingofhumandevelopmentandwedonotbringin thewholeofBronfenbrenner'stheoryintoourwork.Nevertheless,ecologicalsystemsarethemost directrepresentationofourideasasweworkedtounderstandourstudents.Intheirinterviews,our studentsweredescribingthemanyrolesandcontextstheyworkincourses,extra-curricularclubs andorganizations,research,andservice.Ecologicalsystemstheoryisusefultovisualizethemany 7 settingsstudentsexistwithinoutsideofthephysicsclassroomandgivesusthelanguagetodescribe connectionsbetweenthesesettings. 8 CHAPTER3 METHODOLOGY 3.1Coursecontext:BLiSSPhysics Thisworkissituatedinatwo-semestersequenceofintroductoryphysicscourseforthelife- sciencesthatistaughtinastudio-format.ThecourseisnamedBriggsLifeScienceStudio(BLiSS) Physics.Ithasbeenreformedtoleverageconnectionstobiologyandchemistryinthelearning ofphysics.Studiophysicsisaphrasecoinedin1993atRensselaerPolytechnicInstitutetorefer toareformedclassroomdesign[23].Sincethenstudiophysicshasbeenadoptedatnumerous institutions,eachwithaslightlydi˙erentimplementation.Someexamplesinclude:Modeling InstructionatFloridaInternationalUniversity[24];StudioPhysicsatColoradoSchoolofMines [25];SCALE-UPatNorthCarolinaStateUniversity[26];andTEALatMassachusettsInstitute ofTechnology[27].Broadlytherearesomefeaturesthatarecommontomostimplementations: (1)lectureandlaboratoryactivitiesarecombinedintooneclassperiodwithlesstimedevoted topure-lectureformatinstruction,(2)studentsworkinsmallgroupswithahighleveloffaculty- studentinteraction,and(3)theclassroomutilizestechnologytofacilitategroupworkandtoprovide studentshands-onactivities. Myresearchprojectstartsinthevery˝rstiterationofthisreformedcoursedesign,andthe ˝ndingsfrommyworkheavilyin˛uencedfutureiterationsandredesigne˙orts.BLiSSPhysicsis taughtinLymanBriggsCollege(LBC),whichisoneofmultipleresidentialcollegesoncampusthat focusonaspeci˝cdiscipline.LBCfocusesonsciencewithaheavyemphasisoncross-disciplinary knowledgeintegration.TherearenoadditionalrequirementstobeacceptedtoLBCbeyondMSU's overalladmissioncriteria;studentscanelecttochoosetobeplacedwithinLBCforaresidential collegeexperienceastheypursueasciencedegree.Studentsarerequiredtotakebiology,chemistry, andphysicscourses.Additionally,studentsarerequiredtotakeHistory,Philosophy,andSociology ofScience(HPS)courses,whichaskstudentstointegratetheirknowledgeofsciencewithina 9 largercontext.IntheBLiSSclassroom,moststudentsaremajoringinthelifescienceswithalarge proportionintendingtopursuehealthprofessions.AtMSU,LBCistypicallyconsideredamongst studentstobeamorerigorousdegreepathandisoftenanalogizedtobeinglikeanhonorscollege. StudentsaregenerallyverymotivatedtoachievehighgradesandoftenarrivewithAdvanced Placement(AP)orInternationalBaccalaureate(IB)credit.Wecanexpectstudentsenteringthe ˝rstsemesterofphysicstohavecompletedoneormoresemestersofbiologyandchemistry,in additiontoanyresearchexperiencestudentshave. 3.2Studydesignconsiderations Theworkinthisdissertationisgatheredinthecontextofalargerdesign-basedresearchproject thatspannedtwoyearsofBLiSSPhysics.Acrossthetwoyearstheprimarydatastreamwasin theformofsemi-structuredinterviewswithstudentslongitudinally-spacedalongtheirexperiences intheclassroom.Additionally,focalgroupsthatincludedinterviewedcasestudentswerevideo recordedwhiletheyworkedthroughactivitiesinclass. 3.2.1Casestudies Thisstudyutilizesaqualitativecasestudymethodologybecauseitisespeciallyequippedto explorestudents'evolvingconceptionsoftherelevanceofphysics.Everycasestudypresented inthisdissertationconsistsofmultipledatastreamsincludingmultipleinterviewsspacedacross students'experiences.Withineachcasestudyweprobetheevolvingattitudesandbeliefsstudents havearoundtherelevanceofphysics. Casestudiesareespeciallysuitedforourexplorationofrelevancebecausetheyallowforan in-depthunderstandingofstudents'experiences[28].Casestudiesallowustosituatestudents' experienceswithinthecontextofthephysicsclassroom.Anindividualcaseallowsustoseethe impactsoftheclassroomexperiencesinevolvingastudent'ssenseofrelevance.Multiplecases withinthesamecoursecontextallowsustobroadenourclaimsandremarkonthedesignand implementationofactivitiestopromoterelevance. 10 InthisdissertationIwillfocusonselectcasesfromalargercollectionofdata.Thereadermay inferthatmyintentionistopresentarepresentativesampleofalargerdata-setisnottrue. Casestudieswerechosenasthestructureofmyworkonrelevancebecausetheyareespecially well-suitedtodevelopingatheoryandilluminatinghowrelevanceisperceivedandexperiencedby thesecasestudents.Ourgoalintheendisnottoarguethattheexperiencespresentedinthiswork arerepresentativeoftheentirepopulationofourdata-set.Instead,welooktointentionallyselect andsamplecasestudentstoexpoundonthevarietyanddiversityofwaysstudentsexperiencethe relevanceofphysics[29]. Physicseducationresearchislackingathoroughunderstandingoftherelevanceofphysics anditsimplicationsfordesigningreformedclassroomenvironments.Casestudieshelpdevelopan expansiveandthoroughunderstandingofrelevancesothatinthefuturewecanattempttoundertake thetaskofarguingforgeneralizability. 3.2.2Embeddingwithinalargerdesign-basedresearche˙ort Theworkpresentedinthisdissertationdoesnotstandalone;itexistswithinalargerdesign-based researchprojectthataimstounderstandstudentexperiencesthroughthereformedBLiSSPhysics classroomthroughavarietyoflensesincludingself-e˚cacy,mindset,andrelevance[30]. Design-basedresearch(DBR)isaresearchmethodologythatadvocatesfortheremovalof thebarrierthattypicallyseparateclassroomdesignfromresearchthatisconductedwithinthe classroom.Weareinterestedinstudyingstudentexperienceswithinthecontextofthecourse andDBRprovidesaframeworkinwhichwecanstudystudentexperiencesinconcertwithdesign e˙orts.Theresearchanddesignbranchesofourprojectinformandlearnfromeachother. Oneoftheimplicationsofthenatureofdesign-basedresearchisthattheresearchandthe curriculumdesigndirectlyandreciprocallyimpacteachotherinreal-time.Theyliveandbreathe togetherandcannotbeconsideredindependentofoneanother.Inthepursuitofprovidingstudents withthebestpossibleexperience,changestoinstructionaredirectlyshapedbytheemergent research˝ndings.OneproductofthisinteractionbetweenresearchandcurriculuminBLiSSisa 11 newlabactivityexploringthesecondsemestertopicofequipotentiallines[31].Thefeaturesof thislabbecameasigni˝canttouchstoneforstudentsandhelpedshapeourideasofaccessibility andfamiliaritybeingimportantinconveyingthatphysicscanbeexploredoutsideofaspecialized labsetting. 3.2.3Researcherroles MyrolesintheBLiSSclassroomre˛ectedtheholistictreatmentofaclassroomdesignandthe researchinvolved.Iwasembeddedinthecourseasaresearcher,curriculumdeveloper,and instructor.WeensuredthatIdidnotresearchstudentswithwhomIplayedaninstructorrole.I wasdeeplyembeddedintheclassroomandobservednearlyeveryclassperiodoverthetwoyears ofthisproject.Myrolewhennotaninstructorwastypicallyasapassiveobserverand,attimes, participantobserver. Studentsgenerallyregardedmeasa˝xtureintheclassroomwhocanhelpthemifnoother instructionalteammemberwasavailable.Iintentionallyminimizedmyavailabilityasanextra helperintheclassroomtofocusonobservingratherthaninteracting.Oneoftheconsistentthemes inmyroleintheclassroomisthatinsteadofpresentingmyselfasanalternativeknowledgesource, Ifocusedonbeingacuriousobserver.Icelebratedwithstudentsduringmomentsoftriumphand commiseratedwiththemduringmomentsoffrustration.Thisbecameaninvaluablefactorinmy successfosteringtrustingrelationshipswithstudentsininterviewsande-mailcorrespondences. Studentssawmeassomeonewhowascheeringthemonandgenuinelyinterestedintheirsuccess. StudentswouldremarkininterviewsorreachoutaftertheirtimeasastudentinBLiSSwith momentstheywantedtosharewithmeofencounteringphysicsoutsideoftheclassroom. 3.3Participantrecruitment&selection Casestudentselectionwasinformedbyaquestionnairegiventostudentsearlyinthecourse thataskedthemtodescribetheirpreviousexperiencesinsciencecoursesaswellastheirbeliefs aboutlearningphysics.Independentofthequestionnaire,studentswereaskedtovolunteerto 12 PseudonymMajorPreviousPhysicsExperience Alisa Neuroscience IBPhysics Anne Microbiology None Aurora Physiology HSPhysics Benjamin Zoology,MarineBiologyconcentration HSPhysics Beverly HumanBiology HSPhysics Cody HumanBiology HSPhysics Deanna Chemistry HSPhysics Forest PlantBiology&Biochemistry HSHonorsPhysicalScience Hana HumanBiology HSPhysics Isabella Biochemistry&MolecularBiology HSHonorsPhysics Kathryn Biochemistry HSPhysics(1semester) Kelly BiomedicalLabSciences&HumanBiology HSPhysics Kirk Astrophysics APPhysics Leslie Zoology 8thGradeTrebuchet Lian HumanBiology&Biochemistry HSPhysics Maria Microbiology HSPhysics(2Trimesters) Melanie Neuroscience IBPhysics Miles Biochemistry None Nicole Genetics None Priya Genomics&MolecularGenetics APPhysics Radhika Physiology HSPhysics Randy Physiology HSPhysics Sam NutritionalScience&Kinesiology APPhysics Sidney Fisheries&Wildlife HSPhysics Wade Microbiology HSHonorsPhysics Table3.1:Pseudonyms,majors,andpreviousphysicsexperiencesforselectedcasestudents. participateinthestudy.Potentialcasestudentswereidenti˝edbycross-matchingvolunteersfor thestudywiththeirresponsestothequestionnaire.Weselectedstudentswhoexpressedastrong disciplinaryidentity,statedhighlevelsofanxietytowardphysics,orstudentswhowereoptimistic thatphysicscouldberelevanttothem.Emailsweresenttopotentialcasestudentsandparticipation wasincentivizedwitha$10Amazongiftcardforeveryinterviewastudentparticipatedin. Inthisdissertation,eachstudyemployedpurposefulselectionofparticipantstohelpdevelop aframeworkforunderstandingtherelevanceofphysics[29].Caseswerenotselectedtoforma representativesampleofthestudentsinthecourse.Apartfrompracticallimitationsofscheduling con˛ictsandstudentresponserate,themainmotivationbehindparticipantselectionwastoseek 13 outdiversityinexperiencestohelpcreateanexpansiveframeworkfortherelevanceofphysics. Table3.1describesanoverviewofsomeofthecasestudentpseudonyms,disciplinarymajors,and previousexperienceswithphysics.InFigure3.1weshowaselectionofgraphscreatedwiththe MAXQDAMAXMaps[32]featurewhichshowthedi˙erentcodesusedforparticipantselection andtheaccompanyingquestionnaireresponses. 3.4Datacollection&analysismethods Dataforthisprojectwascollectedacrossmultiplestreamsincludingquestionnaires,semi- structuredinterviews,in-classvideorecording,˝eldnotes,brieffacultyre˛ectioninterviews,and e-mailcorrespondenceswithcasestudents.Figure3.2outlinesthedatacollectiontime-lineforthe 2yearsofdatacollected. Duringtheinitialphaseofthisprojecttaskanalysiswascompletedonthecommonlyused attitudinalandbeliefsurveys.Codeswerecreatedtosignifythedi˙erentareasofstudents'lives thesesurveysprobed.Thesecategoriesbecametheinitialcodesweusedinanalyzingstudent interviews. Thevideo-recordeddata(in-classvideoandinterviews)weretranscribedbymeusingInqScribe ora3rdpartytranscriptionservice.InadditiontocodingforthecategoriesfoundinthePERsurveys, Iutilizedopen-codingtoidentifythemesthatemergeacrosscasestudentsaswellasforaspeci˝c casestudentastheyprogressthroughthesemester[33]. Astheprojectevolvedourconceptionofrelevancebroadened,asdiscussedinChapters4and5. Interviewswerecodedforthesettingsinvolvedinstudents'liveswithexplicitfocusonconnections betweenphysicsandothersettingsinastudent'slife.Momentsdescribedininterviewswere corroboratedwithin-classfootagewheneverpossible. 14 (a)Leslieisopentomakingconnectionstophysics,reports4/5ontheneedingcomputationforherfuture career,reports8/10onanxiety,andhaslittlepreviousphysicsexperience. (b)Foreststatesheisveryunprepared,reports10/10onanxiety,reports3/10oncapability,andhaslittle previousphysicsexperience. Figure3.1:TwoselectedexamplesofMAXQDAMAXMapsshowinghowthecoursequestionnaire wascodedtosupportparticipantselection.Codesareconnectedtothecorrespondingopen-response fromthequestionnaire.Allratingsareself-reportedusingeithera5or10-pointscale. 15 Figure3.2:Thedatacollectiontime-linefortheproject.DuringYear2,somecasestudentsthatcompletedtheFallsemesterofBLiSS Physicswereenrolledinadi˙erentphysicscourseintheSpringsemester.20interviewsinYear1wereconductedbyothermembersof theresearchteamandIcompletedtherestofthedatacollection.Thisallowedmetohaveauniqueanddeepunderstandingofthecourse contextanditsstudents. 16 3.5Validity 3.5.1Researcheridentity Itisimportanttore˛ectonresearcheridentitywhendoingdeepqualitativeresearchasitcanhelp readersassesstheinteractionsandrelationshipsbetweentheresearcher,thestudents,andthecourse environment.IimmigratedtothesuburbsofChicago,IllinoisfromthesouthernIndianstateof Keralain1992.Thespeci˝cityoftheregionofIndiamayseemtothereadertobeoverlyspeci˝c butitisimportanttomethatIamseenasaSouthIndian.InAmerica,thereisoftenamonolithic notionofIndianidentityinmediaandcuisinethatneglectstoacknowledgethevarietyanddiversity inacountryaspopulousasIndia.IgainedmyUnitedStatescitizenshipseveralyearslater.I identifyascomingfromIndiandescentandbeinganAmericancitizen,thoughmylifeexperiences haveshownmethatmycitizenshipisquali˝edbymyskincolor. Inhighschool,physicswasmyfavoriteclassandIcompletedhonorsphysicsaswellasAP PhysicsC(APcoursenameshavesincebeenrenamed).Afterhighschool,Iwentintoacombined BA/MDmedicalprogramthatIdidnotenjoy.IwouldreturntophysicsandcompletemyBachelor's andMaster'sdegreesinChicago.Duringthattime,Iconductedresearchinhighenergynuclear physics.IthencompletedaMaster'sinEducationinSecondarySciencespecializinginteaching physicsandreceivedmyteachinglicenseinIllinois.MytimestudentteachingintheEnglewood neighborhoodofChicagohelpedmeunderstandthatinstitutionalstructureswillinherentlypromote racismandmisogynyifthereisn'tarelentlesse˙orttostemthetide. IstillhadthedesiretoproduceresearchandjoinedthePhysicsPhDprogramatMichiganState University.DuringmytimeinMichigan,itwasmadecleartomethatmyappearanceasabrown manmademestandout.ThiswassurprisingsinceIblendedinasoneofthemanyshadesina crowdinChicago.Icamewithamissiontoquestionthepresumedtruththatphysicsisrelevant. Throughoutmyworkyouwill˝ndideasinspiredbytheworksofscholarsinthe˝eldsofrace, equity,orgenderstudiesbutImustbeclearthatIamnotascholarofrace,equity,orgender.I amaphysicistbytrade,andIamheretoquestionthenotionsthatkeepahigh-qualityeducationin 17 physicsoutofthegraspsofallbutaselectfew. 3.5.2Issuesofpower&in˛uence WhileIheldmanyrolesintheclassroom,Ionlyconductedresearchwithstudentsinthesections whereIwasnotassignedwithaninstructionalrole.ThestudentswithinthesectionswhereIhad aninstructorrolewereinterviewedbyothersontheresearchteam. Thereisclearlyanopportunityforapowerdi˙erentialbetweenmeandthestudentsinthis study.Tomitigatethisconcern,IhaveexplicitlyremindedthecasestudentsthatIhavenoin˛uence overtheirgradesandthatthedatawillnotbeaccessibletotheinstructorsuntilafterthestudentsare nolongerintheirclassroomandwhentheinstructorsnolongerhavein˛uenceovertheirgrades. 3.5.3Validityofclaimsfromcasestudies Whenreadersarepresentedwithapaperthatisacasestudyofoneortwostudents,acommon concernisthevalidityofclaimsmadefromonestudent'sexperiences.Outofthe40totalstudents thatwereinterviewedascasestudentsforthisproject,28wereinterviewedbymeandmanywere interviewedmultipletimes.IarguethatIhaveextensiveknowledgeofstudents'experiencesinthis coursethroughmyexperiencesofnumerousinterviews,observationand˝eldnotes,in-classvideo recordingofnearlyeveryclassperiod,andco-developmentofactivitiesinthiscourse.Whileat timesmyunitofanalysisisonestudent'sexperiencesexploredovertime,careistakentosituate anyclaimswithinthecontextofthislargerproject.Therearetimeswhentheexperiencesofone studentexistinstarkcontrasttotherestoftheresearchsamplepopulation.Forthesesituations wetakecaretoexplicitlydescribeclaimsincomparisontotheclassasawhole.Forexample, inChapter4weseetheexperiencesofcasestudentSamnotingthatherviewsofphysicsbeing relevantinhereverydayexperiencesstandsincontrasttotheviewsofothers[13]. Throughoutthisstudy,analyticmemoswerecreatedtoarticulatelow-levelclaimsandtiethese claimsdirectlytodata.Higherinferencelevelclaimsmadefromthedatawerediscussedin 18 aresearchteamofphysicseducationresearchersthatincludesgraduatestudents,undergraduate researchers,post-doctoralresearchers,andfaculty. 3.6Limitations BLiSSPhysicsissituatedinLymanBriggsCollege(LBC)atMichiganStateUniversity.LBC isoneofmultipleresidentialcollegesatMSUthatspecializeinaspeci˝cdiscipline,inthis casescience.LBCemphasizesandpromotestheimportanceofcross-disciplinaryconnections instudents'sciencepreparation.Wemustbeawarethattheclaimsofrelevanceinthisworkare limitedbythediversityinstudentexperiencesrepresentedintheBLiSSclassroom.Someofthe commoncharacteristicsofourstudentpopulationinBLiSSphysicsincludeahighlevelofscience preparation,highlevelsofinvolvementinundergraduateresearchorextra-curriculargroups,anda relativelyhighproportionofstudentsintendingtopursuemedicalcareers. AsIhavebeentheprincipaldatacollectorandinterviewerwithinthisproject,itisquitepossible thatthisstudyislimitedbyanybiasespresentinmydecision-makingprocess.Decisionsonwhoto observein-classaswellasdecisionsaroundthefollow-upquestionsduringinterviewscanimpact andlimitwhatdataispresentforanalysis. MSUisapredominantlyWhiteinstitutionwithWhitestudentsconstitutingapproximately76% ofundergraduateenrollmentasofFall2017[34].WithinourBLiSSPhysicsclassroom,during 2016-2018Whitestudentswereapproximately80%ofthestudentenrollment.Anyclaimsmadein thisdissertationmustbeinterpretedwiththeunderstandingthattheyaremadefromafairlyracially homogeneouspopulation. 19 CHAPTER4 RELEVANCEINTHEREALWORLD&EVERYDAYLIFE 4.1Usingdisciplinaryperspectivestore˝neconceptionsofthe"realworld" 4.1.1Introduction Ithasbeenstated,inPER,thatstudentsoftendemonstrateanunfavorableshiftinattitudinal measuresingeneralandthatstudentsleavethephysicsclassroomstatingthatphysicsisless connectedtotheworldthanwhentheystartedthecourse[4,19].Itemsthatassesstheconnection ofphysicstostudents'livesappearacrossseveralattitudinalandepistemologicalmeasuressuchas theViewsAboutScienceSurvey(VASS),EpistemologicalBeliefsAssessmentforPhysicalSciences (EBAPS),ColoradoLearningAttitudesaboutScienceSurvey(CLASS),andtheMarylandPhysics ExpectationsSurvey(MPEX)[4,5,19,20].Students'unfavorableresponsestoitemsonthese measuresareofteninterpretedasstudentsnotperceivingtherelevanceofphysicstothereal-world, toeverydaylife,personalinterests,orfuturecareers[4,19,20].Thispaperaimstocomplicatethis oft-stated˝ndingbyexploringthetypesofconnectionsstudentsmakebetweenphysicsandtheir livesoutsidethephysicsclassroom. 4.1.2TheoreticalFramework WepositthattheclustersanditemsintheVASS,EBAPS,CLASS,andMPEXthatassesshow connectedphysicsistostudents'livesarepartofabroaderquestionof"howrelevantisphysics?" Relevanceasaconstructhasbeendi˚culttode˝ne[16,17].Oneofthechallengeswithde˝ning relevanceisthevarietyofcolloquialmeanings-suchassigni˝cance,importance,applicability,and more[17].Newtonexploresrelevanceinthecontextofteachingsciencetoprimaryandsecondary students,speci˝callythechallengesteachersfacewhenrespondingtocallsformorerelevantscience teaching[17].Booksteinapproachesrelevanceinthecontextofinformationsciencesandattempts 20 tooperationalizerelevanceforthepurposesofinformationretrieval[16].Buildingontheirwork, thispaperoperationalizesrelevanceinphysicseducationtohavethefollowingcharacteristics: 1: Itisarelationbetweenthestudentandphysics 2: Itaddressessomeneed,aspiration,orexpectation Toevaluatetherelevanceofphysicswecanlooktoseehowphysicsissituatedinthelarger contextofstudents'lives.Withanoperationalde˝nitionofrelevancetoworkwith,weturntoPER measurestoexplorewhichareasofstudents'livesarebeingprobedforconnectionstophysics.We identifythefollowingclustersaspertainingtorelevance: class: :PersonalInterest&Real-WorldConnection mpex: :RealityLink ebaps: :Real-lifeApplicability vass: :PersonalRelevance 1 Intheseclusterswesee2broadtypesofitems,thosethatprobe(1)theconnectionbetween physicstolifeoutsidethephysicsclassroomand(2)students'a˙ect,motivation,andinterestin physics.Inthispaper,wenarrowourfocustoconnectionsbetweenphysicsandlifeoutsidethe physicsclassroom.Adamsetal.havereportedthedistinctionbetween"whetherstudentsthinkthat physicsdescribestherealworldandwhethertheycareorthinkaboutthephysicstheyexperiencein everydaylife[19]."Wearguethatforourlife-sciencestudentswithrichdisciplinaryexperiences, thisdistinctionintotwocategoriesmaybeinsu˚cienttocapturethediversewaysinwhichstudents connectphysicstotheirlives.Wewillexplorehowourlife-sciencestudentsarticulatephysics connectionstotheirworldandshowthecomplicatingnuancesinhowtheseconnectionsmanifest instudents'lives. 1 PresentinversionP204butremovedinP05.07,weincludeitbecauseitaddsvaluableinsight intohowquestionsaroundrelevancearebeingaskedinPER 21 4.1.3Methods Thisworkissituatedinthe˝rstsemesterofanintroductoryphysicsforthelife-sciencescourse thatistaughtinthestudioformat.Wesolicitedvolunteersforinterviewsandcross-matchedusing asurveytoidentifystudentswhowerefeelingfearful,hadastrongdisciplinaryidentity,were feelingskepticalofthecoursebeingmeaningfultothem,orwereoptimisticthecoursecouldbe relevant.Thispaperrepresentsworkfromacasestudyof3students,togethertheydemonstrate avarietyofwaysinwhichstudentsmayconnectphysicstotheirlives.Wedrawfromtwosemi- structuredinterviewswitheachofthesestudents.Theinterviewsincludeditemsintendedtoprobe therelevanceofphysicstostudents'lives.The˝rstinterviewtookplaceintheearlyweeksofthe course,andthesecondinterviewtookplacenearthemidpointofthesemester. 4.1.4"Beverly" Beverlyisahumanbiologymajoronapre-medicaltrackwhoalsohasvolunteeredhertimeata clinicandtheRedCrosscluboncampus.Atthetimeofthestudy,Beverlyhashadphysicsinhigh school,whichwasanegativeexperienceforher. beverly: Itookit[physics]senioryearofhighschoolandIhatedit.Myteacherwasawful...I didn'treallylearnanythingfromhim[Int1] Intheearlyweeksofthecourse,Beverlydoesn'tbelievephysicsisgoingtoberelevanttoher intendedfutureasaphysician. beverly: Idon'tneedphysics.It'snotreallyakeyaspectinmyfutureorIdon'tbelieveit willbe...Iviewitasmoreofarequirement,Ijusthavetogothroughit...Italkedtolike variousphysiciansI'veshadowed...they'relike'Idon'treallyusethatmuchphysics' [Int1] Despiteherbeliefthatphysicswillnotplayaroleinherintendedfuture,thedesignofthecourse wassuchthatthereweremultipleplacesinherlifewherephysicscouldhavebeenmeaningful; 22 thecourseexplicitlyleveragesstudents'expertiseofbiologyandchemistryastheylearnphysics [35].Forexample,Beverlyhadvolunteeredinawoundclinic;inclass,studentsstudythemotion ofbacteriaandneutrophilsinthecontextofwoundhealing.Thestudentswereaskedtousevideo trackingsoftwaretomeasurethespeedsofE.coli,neutrophils,andtissuehealingtodetermineif antibioticsneededtobeprescribed.Beverlydidn't˝ndthisactivitytobeanauthenticapplication ofhowphysicianswouldmakedecisionsaroundprescribingantibiotics. beverly: Nottoomuch...Iactuallyshadowedaninfectiousdiseasedoctoracoupletimes, andbythetimehispatientsgottohimtheyneededtheantibiotics,itwasn'tjusta matterofiftheywouldneedthem...[Int1] Beverlyalsorecallsconversationswithherfamilyaroundthedangersofherdrivingasmall carandtheimplicationsofacollision;inclass,studentsmodeledacollisionbetweenacarandan SUV.Beverlystatesthatit'sclearwhichcardoesbetteranddoesn't˝ndtheunpackingofphysics lawstoberelevanttoherfuture. beverly: Mostofuscould˝gureoutifit'sanSUVvs.asmallcarinacollision,mostof uscouldprettymuchguesswhichvehiclewoulddoworseinthatsituation...thebigger objecttendstofairalittlebetter[Int1] InthesecondinterviewBeverlyrevisitsthecarcrash,andstatesthatshecanbetterexplainwhat happensincollisionsbutdoesn'tlabelitasthinkingofphysicsconcepts.Thisisconsistentwith Beverly'spreviousstatementsthatshe˝ndsphysicsreasoningincarcollisionstobeintuitive. interviewer: Doyouthinkactivitieslikethisone[investigatingcollisionslab]haveequipped youtoanswerquestionsoutsideofclass? beverly: ...itwasactuallyweirdmycousinwasjustinacarcrashaweekago...Icould likepairthatwiththisknowledgeandbelikeOKsonothingtooawfulcouldhave happened,shehadairbagswhichwe'velookedintoalittlebit[inclass].LikeIfeltlike alittlemoresecureinthatknowledge 23 interviewer: Youfoundyourselfthinkingofphysicsconceptswhenthathappenedor? beverly: Slightly...IguessI'vealwaysthoughtaboutthem,Ijustdidn'tde˝nethemor labelthemasphysics.[Int2] Beverlyrecognizesthatphysicscanbeappliedtorealworldsituationsbutstatesthatshewon't needthedetailedphysicscontentknowledge.Beverly'sunfavorableresponsesconnectingphysics totherealworldcouldbeinterpretedasBeverlybelievingthat"ideaslearnedinphysicshavelittle relationtoexperiencesoutsidetheclassroom"[4].WecontendthatBeverly'sresponsesaremore nuancedthanthisinterpretationallows.Oneissueisthedi˙erencebetweenBeverlyrecognizing thatphysicscanbeusedintherealworldandherbelievingthatshedoesn'tneedtobringinphysics inthoseexperiences.Beverly'sstatementsareaboutthepracticalnecessityofusingphysicsin thesereal-worldscenarios,andnotare˛ectionofhowmuchshevaluesthinkingaboutphysics. Thesestatementsre˛ectasophisticationthat'sgroundedinhermedicalexperienceaswellasher senseforwhenphysicsis needed .AlthoughBeverlyconnectsphysicstorealworldevents,she insiststhatthisissomethingshehasalwaysdoneanddoesn'tlabelitasphysics.Thisisconsistent withearlierstatementsthatshedoesn'tthinkofphysicsineverydaylife. interviewer: Doyouthinkofphysicsoutsidetheclassroom? beverly: ...Idon'treallydo.IfIthrowsomething,Idon'treallythinkaboutit[Int1] ThenotionthatBeverlydoesn'ttypicallythinkofphysicsoutsidethephysicsclassroomisnot surprisingconsideringherpreviousexperiencesandherstatementsthatshedoesn't need physics. 4.1.5"Maria" Mariaisamicrobiologymajorwithaminorinepidemiologywhoidenti˝esstronglyasamicro- biologist.Shehasleadershippositionsinmultiplebiologyrelatedorganizationsandworksina microbiologyresearchlab.Mariarecallsherhighschoolphysicsexperienceasbeingdisconnected fromherinterests. 24 maria: ThelasttimeI'vehadphysicswassophomoreyearofhighschool...Ijustdon'tthink theydidaverygoodjobofconnectingitbacktoeveryone'sinterests...itwasjust theoreticalpurephysics.so,notmything...[Int1] Mariaisoptimisticthatthiscoursemaybemorerelevant. maria: Ithinkinthiscourseitmaybealittlemore[relevant],'causeofthe[biology] connections,otherwiseIwouldprobablysayno[ laughs ][Int1] ForMaria,thewoundhealingactivitywasmeaningfulandthetypeofconnectionshewas hopefulfor. maria: Ikindofknewlike...itwashopefullygoingtobelikethis...I'mamicrobiology major,IknowphysicsisimportantforwhatIwanttodobutlikephysicslikeIwas taughtinhighschool...it'stooconceptual,tootheoreticalbutthis[woundhealing activity]wasyouknowlikehere'swhereyouwouldapplyit,likewhatconceptstouse speci˝callyinmicrobiology.[Int1] Whenaskedifsheis˝ndingphysicsinanyofherothercourses,Mariareadilyseesareasinher courseswherephysicsmayplayarole. maria: Mypastepi[epidemiology]coursewasreallyfocusedonlike...osteoarthritis...I cande˝nitelyseehowyouwouldbelikefocusedonlikethephysicsofitall,likewhat causesthefractures,whatcanwedotopreventthemandthingslikethat.Notsofar inlikeprokaryoticphysiobutI'mfeelingoncewegetto˛agellaandpillaeandthings thataremoving,maybealittlemore.[Int1] Thisconnectiontoherprokaryoticphysiologycourseendsupforeshadowingastrong,mean- ingfulconnectiontophysicsforMariamidwaythroughthesemester. interviewer: Soinmicrobio,ifyouhave˛agellalikethat,wouldphysicshelpyouanswer that? 25 maria: Ohforsure.[ laughs ]...youhavethechemistryinteractionsthatgetyouthemove- ment,theyhappeninsidethecell,andthenthephysicscanexplainthosechemistry interactions[Int2] Whenaskedhowsherealizedphysicscanexplainwhy,Mariaexplainsthatitdidn'thappen untilshehadthetoolstomaketheconnectionbetweenmicrobiologyandphysics. maria: ...sureyoucanseesomethingandbelike'physicsprobablyexplainsthat'butIdon't knowphysics,sowhywouldIthinkaboutitthatwayifIdon'thavethattool?...taking thiscourse,themicrobiocoursealongsidephysicswherethingslikeworkandtorque andforcearecomingupina˝eldthatIknowabout,ithelpsyousee.[Int2] ThismomentissopowerfulforMariathatshesuggeststhesetypesofinvestigationsisthe physicsshewouldimagineherselfdoing. maria: ThephysicsI'dbeinterestedindoingissomethinglikethis[parameciumactiv- ity]...it'stoolateinmycareer,myparentswouldkillmeifIswitchedmymajor...I'm interestedinhowit[physics]relatestothemacroscopicbiologicalworld.Iknowother peopledootherthingsbutthisiswherethephysicsIlike.[Int2] Maria'sreal-worldconnectionsareshapedbyherdisciplinaryidentityasamicrobiologist. Whenphysicscanconnecttotheworldsheidenti˝eswith,weseeMariaarticulateconnections linkingphysicscontentknowledgewithbiology.Whenaskedifshethinksofphysicsoutsideof theclassroom,Mariaresponds maria: ...notsomuch[Int1] Similarly,Mariastatesshedoesn'ttalkaboutphysicswithfriendsorfamily. interviewer: Doyoutalktoyourfamilyorfriendsaboutphysics? maria: No[shakeshead]otherthanmyfriendsthatareintheclassIdon'tknowwho.[Int 1] 26 Maria'sconnectionstophysicsaredi˙erentinnaturetoBeverly's.Beverly'sconnectionsinvolve herprojectingforwardtoherintendedfuturecareerasaphysicianandthepracticesofaphysician, informedbyobservingandtalkingwithphysicians.Maria,ontheotherhand,makesconnections acrossthedisciplines,informedbyherstrongidenti˝cationasamicrobiologist.Overall,wesee theintersectionofphysicsandbiologyaligningwithMaria'sinterests. 4.1.6"Miles" Milesisa˝rst-generationcollegestudentmajoringinbiochemistrywithaminorinbioethicswho hasnevertakenaphysicscourse.Heenjoysbiologyandconductsresearchinabiochemistrylab. Milesisfearfulofphysicsandrecallshorrorstories. miles: I'mmostnervousaboutphysicstobecompletelyhonest,I'venevertakenphysics before,never...youhearhorrorstoriesaboutphysics[Int1] FromhisexperienceasatutorforthebiologyandchemistryportionsoftheMCAT,hehasseen negativeexperiencesothershavehadwithphysics miles: Thatwaskindoflikethe˝rsttimeIsawphysicslikerightupclose...tutorswere pullingtheirhairout,thesekidsjustlookedterribleafterthephysicsparts...[Int1] ThiswasMiles's˝rsttimelearningphysicsandhewasnotcertainhowphysics˝tintothelarger worldbutherepeatedlystatesthat "ithastobephysics" underlyingmanyofthephenomenaofthe world.Milesusesthecontextofwatermoleculesmovingawayfromeachothertoexplainhowhe seesbiology,chemistry,andphysicsasbeingrelated miles: There'sobviouslydrivingforcesbehinditlikeIsaidIneverreallytookphysicssoI didn'tknow...ithastobephysics,ithastobe.Ithinkphysicsisadrivingforcebehind everything,ithastobe.[Int1] Whenaskedifheseesphysicsconceptsinothercourses,Milespointstotopicsinhischemistry course. 27 miles: YeahI'veseenglimpses,andIjust,ithastobephysics,likeithastobephysics.In mymindithastobephysicsbutIjustdon'tknowlikehowexactlyyet.[Int1] Mileslookstomakeconnectionsbetweenphysicsandhisothercoursework.Whenaskedifhe stillhasopenquestionsaboutdi˙usion,heisinterestedinknowingwhydi˙usionoccurs. miles: ImeanIguesslikewhyit[di˙usion]happens.ImeanIknowwhy,Icansaybecause ofentropybecauseyoudiscretely,it'sfavorabletoincreasedisorder.ButIguessI don'tknowwhyexactlythat'sathing,andIfeellikethat'swhyphysicscomesinto playbecausethat'sthedrivingforcebehindallthismovement,Ithink?[Int1] Earlyinthecourse,Mileswasuncertainwherephysics˝tintothelargerpicturebutwascertain physicshadaroletoplay.Aftertheunitofdi˙usion,inInterview2,heis˝ndingphysicsas connectingtobiologicalprocesses. interviewer: Doyouthinktheideaofdi˙usionconnectstobiologicalmolecules? miles: Ohyeah,forsureyeahyeah...Ithinkthat'srelevantinanytypeoflikephysiologyor biochemistry...things˛oataroundinsolutionforareason,thingsarekeptatdi˙erent concentrationsforareason...[Int2] Miles'sconnectionstotherealworldaremoregeneralthanMaria'sspeci˝cdisciplinarycon- nectionstobiologyanddi˙erentfromBeverly'sconnectionstocarcrashesandmedicalcare.He believesthatphysicsisimportantandexpressesasensethatphysicsisthedisciplineunderlying mostphenomena.SimilartowhatweseewithBeverlyandMaria,Milesdoesnotthinkofphysics outsidetheclassroomanddoesnottalkwithfriendsorfamilyaboutphysics.Thisisnotsurprising asthisishis˝rstphysicscourse;heisstillforminghisconceptionofwhatphysics is . interviewer: Doyouthinkofphysicsoutsideoftheclassroom? miles: No,literallynever... interviewer: Doyou[talkto]familyorfriendsaboutphysics? 28 miles: Notonce. interviewer: Orevenabouttheconceptsyoulearnedinclassrecently? miles: No,[ laughs ]no.[Int1] 4.1.7DiscussionandConclusion InthispaperweexploredhowPERsurveyshavealignedwithanoperationalizedconstructof relevanceinphysicseducation,especiallyinthewaystheyprobetherelationbetweenphysicsand students'lives.Beverly,Maria,andMilesdonotcommonlythinkofphysicsoutsidetheclassroom ortalkaboutphysicsintheireverydaylife.Ourlargerdatasetsuggeststhatthinkingofortalking aboutphysicsineverydaylifeisrareforlife-sciencestudents.Wedon't˝ndthisresultsurprising, theexpectationthatnon-physicsmajorstudentsshouldperceiveconnectionstophysicsintheir everydaylifeisoptimistic.However,ourstudentshavearichsetofdisciplinaryexperiences.The separationoftheirconnectionstotherealworldintoonlytwocategories[19]isinsu˚cientto capturethediversewaysstudentsconnectphysicstotheirworld. Beverly,Maria,andMilesconnecttotherealworldbutindi˙erent,nuancedways.Beverly understandstherolephysics can playbutgenerally˝ndsbringinginofphysicstobe(1)inauthentic basedonhermedicalexperienceand(2)unnecessarytounderstandeventslikecarcollisionsor throwingofaball.Mariamakesspeci˝ccross-disciplinaryconnectionsbetweenphysicsand biology.She˝ndstheseconnectionsengaginganddiscoversanewinterestshewasnotaware of.Milesattributestheunderlyingmechanismformostthingstophysics.Asheexperiences morephysics,hebelieveshewillbeabletomorestronglyarticulatewhyphysicsisrelevanttohis disciplinaryinterestsinbiologyandchemistry. Inthispaper,ourgoalistocomplicatetheinterpretationofunfavorableshiftsinattitudinaland epistemologicalmeasures.Wearguethatstudentsdoseetherelevanceofphysicsintheirlives butmakesophisticatedjudgmentsontherolethatphysicsplays.Ourcasesprovideevidencethat thinkingofphysicsineverydaylifemanifestsdi˙erentlyinstudentexperiencesandthatstudents 29 oftenmaketheseconnectionswithoutvaluingthem,whichaddsacomplexitytointerpretingresults fromthesemeasures. Therelevanceofphysicstoastudent'slifecantakeonmanyforms,andthecollectionofPER measuresprobessomeofthoseways.Theclusternamesareoftendescriptivelabelsputonaset ofitemsthathavebeenfoundtoaligntogetherbyvalidatingthesurvey.Suggestingthatasetof studentsrespondunfavorablyinconnectingphysicstotherealworldisasigni˝cantandmeaningful statement.Ourcasestudiesdemonstratethatthespacearoundstudents'connectionstothereal worldiscomplexandthatmeasuresoftheseconnectionsshouldbenuancedorexpandediftheyare tore˛ectstudents'richdisciplinaryexperiences.Thisbecomesespeciallyimportantwhenteaching aphysicsforthelife-sciencescourseinwhichweactivelyworktomakephysicsrelevanttolife outsidethephysicsclassroom. 4.2Anuncommoncaseofrelevancethrougheverydayexperiences 4.2.1Introduction Physicseducationresearch(PER)hasprobedfortherelevanceofphysicsinstudents'everyday lives.Attitudinalandepistemologicalsurveyshaveaskedstudentsiftheythinkoforusephysicsin theirdailylives.Wehavepreviouslydocumentedhowitisuncommonthatourlifesciencestudents describeusingorevenseeingphysicsintheirdailylife[12].Thisresultwasunsurprisingandaligns withpreviousscholarshipofstudentsmajoringindisciplinesoutsideofphysics;wehavepreviously arguedthatitisoptimisticforscholarstoexpectstudentswithdisciplinaryhomesoutsideofphysics toseetheirexperiencesthroughalensofphysics.ThePERcommunitycommonlyusesattitudinal andepistemologicalsurveys[4,5,19,20]foravarietyofreasonsincludingtheevaluationofcourses aswellasthemeasurementofstudents'beliefsaroundtherelevanceofphysics.Forexample,the ColoradoLearningAttitudesaboutScienceSurvey(CLASS)containstwoclustersofitemsthat proberelevance: Real-WorldConnection and PersonalInterest [19].Themajorityoftheitemsin thesetwoclustersfocusonhowstudentsthinkoforuseideasinphysicsoutsideofthephysics classroomwithmanyaskingaboutstudents'everydaylives. 30 Inourintroductoryphysicsforlifesciences(IPLS)coursewehavefoundthatstudentsrarely reportbringingphysicsideasintotheireverydayexperiences.Ourcasestudentshavecommonly laughedwhenweaskiftheythinkof,use,ortalkaboutphysicsintheirdailylife.Thisresultisnot surprisingwhenplacedinthecontextofpreviousscholarshiponstudents'beliefsaroundphysics. Elliott[14]reportssimilarstoriesofstudentslaughingatthethoughtofbringingphysicsideas outsideoftheclassroom.Manyphysicseducationresearchstudiesonsurveymeasuresreporta deteriorationinstudents'beliefsaroundphysicsasaresultofinstruction[4,19].Nair,Irving,and Sawtelle[12]havepreviouslyarguedthatitmaybeoptimisticforphysicsinstructorstoexpector hopeforlifesciencestudentstoseetheireverydayexperiencesthroughthelensofphysics. Thedatapresentedhereispartofalargerdesign-basedresearche˙orttooperationalizethe constructofrelevanceforstudyinPER[12]aswellastoarticulatedesignconjecturesofaclassroom thatattendstostudents'identity,a˙ect,andbeliefs[36].Inthispaperwechallengeourownprevious claimthatitmaybeoptimisticforinstructorstoexpectlifesciencestudentstoreporttherelevance ofphysicstotheireverydaylives[12]andpresentacontrastingcaseofalifesciencestudent(Sam, apseudonym)whoreportsphysicsimpactinghereverydayexperiences.Thegoalsofthispaper areto(1)articulatetheimportantaspectsofSamconnectingphysicstohereverydaylifeand(2) discusstheimplicationsofSam'sstoryindesigningmorerelevantphysicsclassroomexperiences forlifesciencestudents. 4.2.2TheoreticalFramework Relevanceisatermthatiscommonlyusedincallsforreformingphysicsinstruction[2,18,37]and inreportsontheimpactofinstructiononstudentbeliefsaboutphysics[7,9,38].Weoperationalize relevanceasaconstructbasedonhowsurveysinPERhavedescribedandmeasuredareasof relevance[4,5,19,20]andtheoreticaldescriptionsofrelevanceasarelationbetweenthestudent andphysics[16,17].Wede˝nerelevanceas theopeningofaconduitbetweentwosettingsor experiences,throughwhichmeaningfulknowledgeorskillscanbeexchanged . Inaclassroom,relevancecanbeobservedinmomentswherestudentsbringinexperiences 31 fromoutsidetheclassroominmeaningfulways.Reciprocally,itcanalsobeseenasstudents bringingclassroomexperiencesoutoftheclassroomintotherealworld,futurecareers,oreveryday life.Beliefsofrelevancecanbeelicitedthroughsurveysorinterviewsandconstituteonlypart ofthecompletepicture.Anotherimportantpartofrelevanceissituatedinandfacilitatedbythe interactionsbetweenstudentsandtheirenvironments.Forthepurposesofthispaper,welimitour attentiontothewaysinwhichstudentsseetherelevanceofphysicsthrougheverydayexperiences. 4.2.3Methods Thisstudyissituatedinthe˝rstsemesterofanIPLScoursethatistaughtinthestudioformat.The courseadaptsavailableIPLScurriculaanddesignsnewmaterialswiththeaimofmakingphysics relevanttolifesciencestudents.Thiscoursealsoadaptsdiscursivestructuresandparticipation frameworksfromModelingInstructionforintroductoryuniversityphysics[39,40].Theclassroom structures,norms,andparticipatoryrolesweredesignedtopositionstudentsasexperts,leveraging theirextensivedisciplinaryexperiencesinbiologyandchemistryastheylearnphysics[36].The course'sdesignencouragesstudentstoengageinthepracticeofphysicsthroughargumentationand white-boardmeetings[40]inordertoarriveataclassroomconsensus. AuthorNairwasembeddedintheclassroomnearlyeverydayofinstructiontomanagedata collectionandcapture˝eldnotes.Healsosupportedthedesignandimplementationofthecourse materialsbothasaresearcherandpreviousinstructorinthecourse.Thispaperfocusesonanalysisof theexperiencesofonestudentbutisinformedbythe22othercasestudentsinterviewedthroughout thisproject,withsomestudentsbeinginterviewedmultipletimesthroughouttheirtimeinthe classroom.Toidentifystudentsforthislargerdataset,wesolicitedvolunteersforinterviews andin-classvideoobservation.Volunteerswerecross-matchedwithresultsfromacoursesurvey toidentifyvolunteerswhohadastrongdisciplinaryidentity,werefearfuloranxiousofphysics, wereskepticalofthevalueofthecourse,orwereoptimisticthatthecoursecouldberelevant. Includingparticipantsthatreportedastrongdisciplinaryidentityoutsideofphysicswasimportant inexploringhowphysicsmayberelevanttostudentswhowillneverbecomephysicists. 32 Wepresentdatafromthreeinterviewswithonestudent,Sam.Eachinterviewwasvideo- recordedandfollowedasemi-structuredprotocolthatincludeditemstoprobetherelevanceof physicstostudents'lives.The˝rstinterviewtookplaceinthe˝rstmonthofFallsemester.The secondinterviewwasconductedamonthbeforetheendoftheFallsemester,andthethirdinterview tookplaceinthemiddleoftheSpringsemester,afterSamhadmovedontoasecondsemesterphysics coursewithdi˙erentdesigngoals. 4.2.4Sam Samisastudentdualmajoringinnutritionalsciencesandkinesiology.Hermotherisaphysician andherfatherisaphysicaltherapist.AtthetimeofthisstudySamisconsideringarangeofcareer pathsincludingneurology,orthopedicmedicine,andpsychiatry.Samisinterestedin˝tnessandis anavidweightlifterworkingtowardsherpersonaltrainingcerti˝cation.Inherinitialcoursesurvey Samreportsthatherpersonaltraininglessonsareabout"howthebodyfunctionsasaseriesof machines,sophysicsispartofthehumanbodyandnotjustsimplemachines."Shehaspreviously takenAPPhysicsandinthe˝rstinterviewdescribesherselfasconsistentlyreceiving"straightA's" inhighschool.Incollegesheis˝ndingtheclassesmoredi˚cultandhergradeshavedropped. IntheinitialsurveySamreportsascaleofmaximumanxiety(10/10)aboutthe physicscourse,lowlevelofpreparation(3/10),andlowsenseofcapability(4/10).Wenotethis heretopointoutthatSamisnotintrinsicallyinterestedinphysicsfromthestartbutinthefollowing sections,wewilldescribemomentsinwhichSamdescribesphysicsbeingrelevanttohereveryday experiences.Consistentwithourde˝nitionofrelevance,weframetheseexamplesasintersections ofphysicsandthedi˙erentsettings,roles,andrelationshipsinSam'slife. 4.2.5ClassroomactivitiesintersectingwithSam'slivedexperiences EarlyintheFallsemester,studentsworkthroughanactivityonwoundhealinginwhichtheyare taskedwithanalyzingthemotionofdi˙erentcellsmovinginvideoscapturedfromamicroscope. Studentsareaskedtocomparethespeedsofthebacteria,neutrophils,andtissuehealingtoconclude 33 whetherantibioticswouldberequired[41].Samfoundthisactivityinterestingandrelatedittoher ownexperiencewithawound. sam: Thewoundhealing,thatwasveryinteresting.Itwasactuallyreallycooltoseethe videoofthewoundclosing.Ihadthisseverecutonmyarm,soIgottowatchover timehowthewoundhealedandhowit'sstillhealingrightnow...sowatchingthaton videowasreallycooltome.Toseehowthebodycanreformitselfandproducescar tissuewhenit'sbeencompletelysliced.[Int1] Samconnectsthewoundhealingactivitytoherownexperienceswithacutandwatchingitheal overtime.Neartheendofthe˝rstinterviewthe˝rstauthorasksSam"Haveyouhadanymoments thatyou'reproudofinclass?" sam: Yeah.Thewoundhealing.Ikeepgoingbacktothat.Beingabletotrackthatcertain point;Ifoundverysatisfying.Iwasveryproudofmyselftobeableto˝ndtherateat whichthatwoundhealed.AndifIcoulddothatonarealpersonthatwouldbereally cool.Tellthisperson,ohyouneedantibioticsbecausethiswoundisnothealingfast enoughbecausethistravelsfaster.[Int1] ThisactivitybecomesacentralexperienceforSamthatsherecountsineveryinterview,even wellafter˝nishingtheFallsemester.Inthesecondinterview,Samstatesthatthisactivitywasher favoriteandthatitwas" supereye-openinginhowmanydi˙erentwaysyoucantestwhetherornot apatientneedssomething .[Int2]"Inthethirdinterview,Samdescribes" itwasjustreallycoolto seewhatactuallyhappenedinmyarm ."[Int2]Samalsoreportsthatshetalkedtopeopleallthe timeaboutthewoundhealingactivitytellingthem" it'sjustlikewhathappensineverydaywounds ! [Int3]"Shethenjokinglytellsusthatpeopletellhershe'scrazyfortalkingabouttheactivity. Inthissection,wehaveseenthewoundhealingactivityimpactSam'ssenseoftherelevanceof physics;theactivityalignedwithherinterests,gaveheranewperspectiveonherownexperience withwounds,andledtoconversationsaboutphysicsinherdailylife.Inadditiontothisclassroom 34 activity,Samreportsseeingconnectionstophysicsinhereverydayexperiencesinthegymand discussionswithherfriends.Inthenextsection,wewilldescribeSammakingrelevantconnections withsupportfromherpeernetwork. 4.2.6Socialactivities&peerssupportSamtoseetheworldthroughthelensofphysics Our˝rstsignthatSam'speershadanimpactonhermakingconnectionstophysicsinherdailylife isinInterview1.Samstates"Ilikehow...thisclassrelateseverythingtowhatthisworldis."We thenaskhertosaymorewordsaroundthis. sam: Youcanapplyphysicstoprettymucheverything. interviewer: Whendidyoustartthinkingthatphysicscanbeappliedtoeverything? sam: Ihavesomefriendswhoareengineersandthey'reprettymuchintophysicsIguess. WhenIhearthemtalkabout,howthisworksinthisway,thatmakesmethink.Ihave afriendwho'sanengineerrightnoworwho'sschoolinginengineeringrightnow.He justgotintoweightlifting,I'mhelpinghimout.He'slike'I˝nditreallyinteresting howthebodyisabunchofleversandpulleys.'I'veneverthoughtofitthatway,andin mycourseforpersonaltraining,there'sawholechapterabouthowthebodyisabunch ofmachines.[Int1] Sam'sengineeringfriendhasanimpactonhowSamthinksabouttherelevanceofphysicsto themechanicsofthehumanbody.Laterintheinterview,weask,"Doyouever˝ndyourselfsitting andthinkingaboutitlikeoutsideoftheclassroomsetting?" sam: Uh-huh(inagreement).Igotothegymwithmyengineeringfriendalotanddoinga seteitherofuswatchingeachotherorjustwatchingmyself,Iseehowthatworks.You couldalsousephysicstodeterminehowtoworkamusclebetter.Becauseifyouwere toorabicepscurlforinsifyouweretogoallthewaydownyouwouldget mostofthemuscleandbringitallthewayup.Whereasgoingdownto90degreesis notgoingtoworktheentiremuscle... 35 interviewer: Isee.Isyourfriendalsointothinkingabouttheleversandstu˙?Orisit somethingthatyoubringin? sam: Yeahheis.Yeahheistheonewhobroughttheideaintomyhead.He'sreallyinto physics.Helovesphysicsandsohe'll˝ndanywaytorelateback.[Int1] Thisengineeringfriendplaysanimportantroleinpromotingconversationsaroundphysicsin socialsettings.WeinterviewedSamagainneartheendoftheFallsemesterandasked,"When you'reoutintherealworld,doyouever˝ndyourselfthinkingaboutthephysicsyoulearnedin physicsclass?" sam: Yes,actuallytoday,Iwasthinking;Iwasonmywaybikingtomy8amclass...I wasonmyhighestgear,andIwaslike,what'stheforceI'mexertingonthispeddle? ...becauseit'snottheforceonthepeddle,it'sliketheforceinmymuscles.Andhow domymusclesgetenergytoproducethatamountofforce?Well,whenit'sinthefood thatIeat,andthenwheredoesthatenergycomefrom?It'sjustcycles.Sosometimes itpopsintomyhead,yeah. interviewer: Awesome.Werethereanyotherexamplesthatcometomind? sam: Withmyengineerfriend,hebringsitupalot....weweretalkingabouthowthe wheels-to-wheelslaw,whereyou'resupposedtobebikingwiththetra˚c....wehad thisdebate,andhe'slike,"Well,you'remoresafeifbothmomentumsaregoingthe samedirection,asopposedtoahead-oncollision."AndthenIbroughtupthepoint whereyouhavetimetoreactwhenyou'regoingtheoppositeway,whereas,iftheyjust comeupandclip,youdon'thavetimetoreactbecauseyoudon'tevenseethem.Sohe broughtupabunchofphysics...wejusthadthelargedebateandbroughtphysicsinto it.[Int2] Thisdebateoverthecorrectrationaleforthedirectionofbicyclesontheroadismemorable forSamasshebringsitbackupinthethirdinterview.Shereiteratesbothherandherfriend's argumentsandmentionsthattheymaystilljokinglybringupthisdebate.Wethenask,"doyou 36 haveothermomentswhereyouarekindofintheworld,observingthingsandphysicscomesto mind?" sam: Yeah!Ifyouseeaniciclefall,dependingonhowhighitis,itcouldtotallykillsomeone. [ laughs ]Iwasliketalkingaboutthatwithafriendlike2daysago. interviewer: Really?Takemeintothatconversation. sam: Wewerewalking,becauseIliveinanapartmentnow,andwewerewalkingbythe complexes.Therearethesegianticicleshangingfromtheguttersandshewaslike "Wow!Thosecouldkillyou."IwaslikewellIguessitdependsonhowfartheyfall becauseifthey'rerightaboveyouthenthere'snotmuchgravitytocarryitdown.And she'slikewellIguesssobuttheheighttheyaretheyprobablycouldkillyoubecause they'rehuge!Andthatjustbringsinthemassandaccelerationbecauseyouhavethe accelerationduetogravityandyouhavethemassoftheicicle.Yeah,sothat'swhere thatconversationwent. interviewer: Whydoyouthinkyou'renoticingthesethings?Whatwouldyoucreditthat to? sam: Um...Iactuallywouldcreditittomyfriend,he'sanengineer...becausehesees physicsineverydaylifemorethanIdo.Andsowhenhe'llbringitup,it'llmakethe wheelsinmyheadturn.AndnowthatIunderstandtheseconceptsgivenmyprofessors, Icanapplythattodi˙erentthingsthatIsee.SoIguessIcreditittoeverybody.Now thatIhavetheknowledgeandsomeoneishelpingmeapplyittomakemymindstart goingo˙somewhereelsewhereitnormallywouldn't.[Int3] Samcreditsherseeingphysicsinherdailylifetoboththeknowledgeshe'sgainedfromlearning physicsandherengineeringfriendinhelpingherapplythoseconceptstotheworld.Shethenmakes connectionstophysicsunpromptedtoreasonthroughwhatvariablesareimportantinconsidering thelethalityoffallingicicles. 37 4.2.7Discussion&Conclusion Connectingphysicstoeverydaylifeisamajorcomponentofattitudinalandepistemological measuresinPERthatservetoevaluatecoursedesignsandtheirimpactsonstudentbeliefsaround physics.PreviousstudiesinPERandourown˝ndingshavereportedthatitislikelystudents willleaveaphysicscoursebelievingphysicsandtherealworldaremoredisconnectedthanwhen theyenteredthecourse.Thiscommonlyfoundresulthasbeenreportedasanegativeshiftor deteriorationofstudents'beliefsaroundphysics. WepresentedacontrastingcaseofSam,astudentwhoreportsthinkingaboutphysicsinher dailylifeandseeingrelevantphysicsassheexperiencestheworldaroundher.Wedescribehow herviewsweresupportedandfacilitatedbyconversationswithanengineeringmajorandherhobby ofweightlifting.Wealsodescribedhowhercourseactivitiespromptedhertore˛ectonherown everydayexperiences.Incurricularreformstomakephysicsrelevanttothelifesciences,therehave beene˙ortstomakephysicsactivitiesrelevanttostudentinterestsbyframingthemincontexts thatstudentsmay˝ndinteresting[9,35]orrelatedtotheirfuturecareers[38].Sam'sexperiences showusthatthisisonlypartofthesolution.Samwascertainlyinterestedinthewoundhealing activitybutanimportantparttoher˝ndingthatactivityrelevantwasherownlivedexperiencesof watchingherownwoundhealandherdesiretounderstandhowitworked. Sam'sexperiencessuggestthatfuturereformsinmakingphysicsinstructionmorerelevant shouldfocusondesigningactivitiesandspacestoallowforstudentstobringtheirrichlivedexpe- riencesintotheclassroom.RelevanceforSamislargelydevelopedoutsideoftheclassroom,and classroomreforme˙ortssettingouttoa˙ectrelevancewillbestrengthenediftheycanincorporate students'outsideoftheclassexperiences.Herstoriesalsoimplythatstudentsarecapableof makingconnectionstophysicsifthereissu˚cientsupportandintersectionbetweentheirinterests, coursework,andsupportsystems.ItistheinteractionofSam'sclassroomactivities,herinterests, andhersocialsupportsystemsthatfacilitatetheco-constructionofthenotionthatphysicsisrelevant toSam'severydaylife. 38 4.2.8ImplicationsforFutureWork Wehavepreviouslyarguedthattheuseofthephrase"realworld"isabstractandexcludesmanyof thedisciplinaryexperienceslifesciencestudentsmayhave.Wedescribedhowthesedisciplinary experienceswereimportantinmakingrelevantrealworldconnectionstophysics[12].Students' beliefsaroundtheroleofphysicsinthe"realworld"andtheireverydaylifehaveconstitutedthebulk ofthecommonlyuseditemsdesignedtoprobestudents'perceptionsoftherelevanceofphysics[4, 5,19,20].Researchintobothareasofrelevancethroughnarrativesofstudentexperienceshave highlightedtheimportanceofclassroomstructures,norms,andcultureinhelpingfacilitateand amplifystudents'senseofrelevance.Infuturework,wesetouttoarticulatedesignprinciplesthat willguidethecreationofmorerelevantphysicsclassroomsandpushforholisticclassroomreform e˙ortsbeyondapplyingaveneerofrelevanceinproblemstatements. 39 CHAPTER5 OPERATIONALIZINGRELEVANCEINPHYSICSEDUCATION:USINGASYSTEMS VIEWTOEXPANDOURCONCEPTIONOFMAKINGPHYSICSRELEVANT 5.1Introduction Nationalpolicyrecommendationsfortheintegrationofknowledgeacrossthedisciplinescon- tinuetopositionphysicsconceptsandreasoningskillsasbeingimportantandusefultodegrees inSTEMorcareersinthehealthsciences[1,3].Manyundergraduatestudentspursuingadegree inSTEMwillberequiredtocompleteanintroductoryphysicscourse[42]butresearchinPhysics EducationResearch(PER)suggeststhatstudentsdonotsharethebeliefthatphysicsisrelevantto them[4,6,19,20, Inatypicallargephysicsdepartment,non-physicsmajorsconstituteoneofthelargestproportion ofstudentsinanintroductoryphysicsclassroom(algebra-basedandcalculus-basedcombined)[11]. Itisimportanttothesuccessofthesestudents,whodonotplanonpursuingphysicsasacareer, thattheybuildconnectionsfromphysicstotheirlives[4,49]. Ourpurposeinthispaperistwo-fold˝rsttoreviewthewaysinwhichscholarsinPERhave attemptedtoprobestudents'senseofrelevanceandshowhowthepictureofrelevancegenerated bysuchmeasurementsisincomplete.Oursecondgoalistooperationalizeaconstructofrelevance thatexploresthesystemsthatcomprisestudents'livesanduseittoanalyzestudentexperiences inanintroductoryphysicsforthelifesciencescourse.Wepresenttheexperiencesfromtwo casestudiesthathighlightthea˙ordancesofthisapproachincapturingaricher,moreexpansive pictureofstudents'senseoftherelevanceofphysics.Duringthiswork,wecriticallyexaminethe implicationsofhavinganincompletepictureofstudents'abilitiestoconnectphysicstotheirlives inperpetuatingde˝cit-interpretationsoftheabilitiesoflifesciencemajors. 40 5.1.1Whatweknowaboutrelevance Eveninthemidstofcallsforinstructorstomaketheircurriculamorerelevanttostudents,there ismuchdisagreementacrossthedisciplinesonthede˝nitionofrelevance[16,17,50].Newton (1988)notedthat"thenotionofrelevanceinscienceeducationseemsfraughtwithinconsistency, obscurity,andambiguity."Booksteindescribedthisissueveryconciselyvanceisoneof themostcentralconceptsofinformationretrieval;however,attemptstoprovideitwithade˝nition havebeenfrustratingandconfusing"[16].Scholarsofrelevanceagreethatthesenseofrelevance weareexploringisarelationshipbetweentheparticipantandthesubjectinquestion[16,17].In ordertostudythissenseofrelevanceinourphysicsclassroom,wefocusonstudents'experiences thatcontributetodevelopmentofmeaningfulrelationshipsbetweenclassroomelementsandtheir lives. Relevanceisachallengingconstructtoexploreduetothedi˙eringmeaningsintheliterature. Relevancehasbeenusedasasynonymforstudentinterest,perceivedmeaningfulness,perceived utility,relatingtoreal-life,oracombinationofalltheabove.Stuckeyetal.(2013)tracethe di˙eringnotionsofrelevanceinscienceeducationthroughouthistoryand˝ndthatthereisan evolvingfocusofpolicyrecommendationsonhowscience should impactareasofstudents'lives. Theauthorsidentifythreepossiblepurposesformakingscienceeducationrelevant[18]:(1) preparingstudentsforpotentialcareersinscienceandengineering;(2)helpinglearnersunderstand scienti˝cphenomenaandcopingwithchallengesinlife;and(3)supportingstudentsbecoming e˙ectivefuturecitizensinsociety. Althoughthespeci˝cmeaningofrelevancemaybedi˚culttopinpointintheliterature,we havedecadesofpolicyandcurriculumrecommendationsfromscienceeducatorsoutlininghow relevantinstructionshouldorcouldimpactstudents'lives.Ourgoalhereistoshedlighton howstudentexperiencescaninformthewaysinwhichaphysicsclassroomcanberelevant.In ordertooperationalizerelevanceasaconstruct,wedrawupontheworkalreadydoneinthePER communityaroundprobinganddescribingrelevance.Westartbyfocusingonareasofstudents' livesthatsurveysinPERhaveprobed,highlightitslimitations,andarticulateamoreexpansive 41 viewofrelevancethatwillthenserveasaresearchlenswecanapplytostudents'experiences. 5.1.2Howphysicseducationresearchhasprobedrelevance Students'beliefsaroundtherelevanceofphysicshasbeenafocusofmanyattitudinalandepiste- mologicalsurveysusedinphysicseducationresearch[4,5,19,20].Inthissection,wefocuson theColoradoLearningAttitudesaboutScienceSurvey(CLASS),theMarylandPhysicsExpecta- tionsSurvey(MPEX),theViewsAboutScienceSurvey(VASS),andtheEpistemologicalBeliefs AssessmentforPhysicsScience(EBAPS)toshowhowtheyhaveprobedrelevance.Wearguethat theimageofrelevancegeneratedfromtheitemsonthesesurveysisincomplete. Startingwiththesesurveymeasuresandexpandingtoincludescholarshiparoundrelevant physicsinstruction,wearriveatareasofstudents'livesbeingexploredandthedesirableoutcomes afterinstruction: ‹ FutureCareer:Studentsreportingthatthephysicstheyhavelearnedwillbeofuseintheir plannedfuturecareer[4,38,51] ‹ RealWorld 1 :Studentsreportingthatphysicsisconnectedtotheworldinwhichtheylive. [4,5,19,20] ‹ EverydayLife:Studentsreportingthinkingof,talkingabout,orusingphysicsintheirdaily life[4,5,19,20] ‹ PersonalInterest:Students'reportingthattheyenjoydoingphysicsorthatitprovidesasense ofsatisfaction[4,5,19,20] Beyondthesesurveymeasures,therehavebeenrecente˙ortstoexpandwhatareasofstudents' livescontributetotheirconnectionwithphysics,speci˝callylookingatdisciplinaryinterests. Crouch,Geller,andcolleagueshaveinvestigatedstudentattitudes,interests,andperformancein 1 Wehavearguedthatthiscategorycanbeproblematicininterpretingstudents'negativere- sponses[12] 42 physicsactivitiesframedexpansivelywithbiologicalcontexts[9,10].Inthenextsectionswe exploreeachofthesesurveysinmoredetail. 5.1.2.1MPEX-RealityLink TheRealityLinkclusteroftheMPEXisdescribedasprobingwhetherstudentsbelievethatideas learnedinphysicsarerelevantandusefulinawidevarietyofrealcontexts,ratherthanhavinglittle ornorelationtooutsideexperiences[4].TheauthorsoftheMPEXdirectlystatethatinterpretations ofthisclusterareabouttherelevanceandutilityofphysics. InRedishandcolleagues'largestudyusingtheMPEX,spanningsixinstitutions(N=1,528 students),theyreportthatstudentsenteredwithstrongfavorableresponsesintheRealityLink cluster.Bytheend,however,"everygroupshowedadeteriorationonthismeasureasaresult ofinstruction,andsomeoftheshiftsweresubstantial[4]."Thisisnotuncommon,adeclinein favorableresponsesoranincreaseinunfavorableresponsesontheRealityLinkclusterhasbeen reportedbystudiesacrossavarietyofcurricula,pedagogies,andstudentcompositions[43, TheRealityLinkclusterwasintendedtoprobewhetherstudentsbelievethatideasinphysicsare relevantandusefultoawidevarietyofrealcontextsratherthanhavinglittleornorelationto outsideexperiences.Theimplicationbeingthatstudentswithanegativeshiftinthisclusterdonot believeideaslearnedintheirphysicscoursearerelevanttorealcontextsortheirexperiences. 5.1.2.2CLASS-PersonalInterest&RealWorldConnection TheCLASShastwoclustersthatappeartoprobetherelevanceofphysics,RealWorldConnection andPersonalInterest.Theseclustersaredescribedasprobingwhetherstudents˝ndthephysics ideastheylearntobeinterestingorconnectedtotherealworld.[19] TheauthorsoftheCLASShavereportedthatthetypicalresultforboththePersonalInterest andRealWorldConnectionclustersisanegativeshiftinfavorableresponses[19].Negativeresults onthesetwoclusterswerereproducedinseveralotherstudiesaswell 43 Therehavebeensomepositiveresultsreportedonthiscluster;Zhangandcolleaguesconducted astudyof441studentsandcomparedCLASSresultsacrosstraditionallecturemethodsandPeer Instruction.TheyreporttraditionalmethodsresultinginnegativeshiftsinbothclustersandPeer Instructionsectionsproducinggenerallypositiveinbothclusters[57].Breweandcolleagues initiallyreportedpositiveshiftsinbothclustersinasmallstudyoftwosemesters(N=22andN=23) ofphysicstaughtusingModelingInstructionandreproducedpositiveshiftswithalargersample of221students[6,7].Anotherstudyof44studentsutilizingModelingInstructionbydelaGarza andcolleaguesreportedanullshiftinthePersonalInterestclusterbutapositiveoneintheReal WorldConnectioncluster[58].FromthesestudiesweseethatthetypicalresultfortheCLASS acrossmanyclassroomcontextsisnegative,withsomeexamplesofpositiveresults. 5.1.2.3VASS-PersonalRelevance TheVASShashadapersonalrelevancecluster 2 consistingof˝veitemsthatwereintendedto probeifphysicswasrelevanttoeveryone'sliferatherthantheexclusiveconcernofscientistsand ifstudyingphysicswasanenjoyableexperience[20]. ThedesignersoftheVASSstatethat"traditionalphysicsinstructionhasnosigni˝cante˙ecton studentviewsaboutscience"andthat"onmostVASSitems,studentstendtoshiftalittlemoretoward folk[consideredoppositeofexpert]viewsthanexpertviews,afterinstruction."Unfortunatelywe couldnot˝ndstudiesthatreportedshiftsfrompre-topost-instructionwithinthePersonalRelevance cluster. 5.1.2.4EBAPS-Real-lifeApplicability TheEBAPScontainsaclustercalledReal-lifeApplicability,whichprobeswhetherstudentsbelieve thatthewaysofthinkinginaphysicsclassisrestrictedtotheclassroomorifitisapplicableinreal life.Inotherwords,dostudents˝ndthewaysofthinkinginaphysicsclasstobe relevant outside theclassroom? 2 PersonalRelevanceappearsinVASSversionP204andisabsentinP05.07 44 InstudiesofhighschoolphysicsstudentsinCalifornia(N=27)andVirginia(N=55)Elby (2001)reportsanullshiftinthisclusterintheCaliforniastudy,andapositiveshiftintheVirginia study[49].Here˛ectsthatthe"failureinCaliforniacausedmetousemorereal-lifeexamples andtomakeothermodi˝cationswhenItaughtinVirginia."Inalargerstudy(N=255)Marxand colleaguescreatedamodi˝edclusterofitemsfromboththeEBAPSandtheMPEXprobingthe relationshipbetweenclassroomscienceandtherealworld.Inboththetraditionalcourseaswell asthe"learning-centered"courseusingresearch-backedpractices,they˝ndanegativeshiftinthis cluster.Theauthorsre˛ectonthis˝nding,"ourLearning-centeredcourseimplicitlyaddresses issuesrelatedtoseveraloftheclustersby...havingstudentsexperiencesimple,explainable,real- worldphenomenaintheclassroom(Reality).Nevertheless,itfailstoimprovestudents'attitudes [48]." Clustersinthesefoursurveysinphysicseducationclaimtoprobestudentbeliefsoftherelevance ofphysics.Itistheresultsfromthesesurveysalongwithotherscholarshiparoundhowstudents interprettheroleofphysics,thathaveformedphysicseducation'sunderstandingofthequestion: Dostudentsbelievephysicsisrelevanttothem?Whenexploringtheresultstothisquestion,we ˝ndthatnegativeshiftsinbeliefsaroundtherelevanceofphysicsaretypicalbutthatpositiveshifts arepossible.Itremainsunclearhowtousetheseresultstoinformchangestophysicscoursesto directlyimpactstudents'beliefsaroundtherelevanceofphysics.Inthenextsection,wewillre˛ect onsomeoftheinterpretationsscholarshavemadeaboutstudents'unfavorablebeliefsaroundthe relevanceofphysics. 5.1.3De˝cit-basedinterpretationsofstudentbeliefsaroundrelevance Oneofthechallengesofprobingstudentbeliefsaroundrelevanceisthattheendorsementsofbelief statementsareoftenplacedonaspectrumbetweennovice-likeandexpert-like.Unsurprisingly, expertsinphysicsbelievethatphysics is relevant.Thegapbetweenstudents'novice-likebeliefs andexperts'beliefscansometimestoleadtotheproblematicinterpretationthatstudentswith unfavorableresponseshavenotcommittedthemselvestomakingconnectionsorhavefailedtosee 45 therelevanceofphysics.Forexample,Kortemeyerreportedinhisstudyofpre-medicalstudents that"theresultsoftheMPEXindicatethatoverthecourseofthesemester,theperceivedrelevance ofphysicsdecreases.[43,page3]"Re˛ectingonthis˝nding,henotes"contrarytothestudent responsesintheMPEXRealityLinkCluster,physicssimplyisrelevantforaphysician.[43,page 3]" Thenotionthatstudentsaresomehowlackingtheabilityorunwillingtoseetherelevance ofphysicsisre˛ectedinscholarshipthatsuggestinstructorsshouldpersuade,demand,orforce studentstomakeconnections."Inordertorealizeinstructionallysigni˝cantgainsinepistemology, itseemswemustcarefullycraftmaterialsdemandingstudentstoovertlyandcriticallyevaluate howtheylearnscienceandthenatureofscienceitself.[48,page4]"Bennett,Roberts,andCreagh (2016)reportedthesuccessinestablishingrelevanceinafoundationalphysicscoursethrougha 2-hourworkshopfocusedonself-re˛ectionandgroupworkdesignedtopositionstudents'learning inrelationtotheirfuturelivesandcareers.Theyrecommendinstructors"ensurethatstudents perceivethematerialtheyareaskedtolearnasauthenticandofrelevancetotheirfuturelivesand careers.[38]" Wearguethattheserecommendationsshouldbemodi˝edtomovethefocusawayfrom˝xing thestudentandtowarddesigningclassroomstoinviteandsupportstudentsinbringing-intheir experiences,therebyincorporatingthestudentsintowhatitmeanstolearnphysics.Ourviewisin linewithandsupportedbyastudybyGrayandcolleagues(2008)thatfoundthatstudentsreporting novice-likebeliefsontheCLASSare"quiteawareofwhatphysicistsbelieveaboutphysicsand learningphysics;theyjustdonotbelievethattheseideasarevalid,relevant,orusefulforthemselves. [59]"Theyrecommendthatinstructorsshouldconcentrateonstrategies"thatgowellbeyondtelling studentsabouthowexpertsviewphysicsandfocusonmakingadoptionofexpertlikeviewstruly usefulandrelevantforstudents.[59]" Lifesciencestudentstakingaphysicscoursemayonlyberequiredtotakeoneortwosemesters ofphysicsdependingontheirmajor.Ifphysicseducationcontinuestopositionstudentbeliefsona spectrumofexpert-likeandnovice-like,oronadegreeof"sophistication",weriskunderestimating 46 therelevantconnectionslifesciencemajorsmake.Adamsandcolleagueshavefoundthat"students' incoming[CLASSPersonalInterestcluster]scoresincreasewithlevelofphysicscourse.Thus, studentswhomakelargercommitmentstostudyingphysicstendtobethosewhoidentifyphysics asbeingmorerelevanttotheirownlives[19]"Wehopetocomplicatethispicturebyproviding examplesoflifesciencemajorswithouta"largercommitment"tostudyingphysicsbeyondthe introductorysequencewhoarticulaterelevantconnectionstophysics. Wearguethatinsistingthatphysics,asitistaught, is relevantisboundtocreatetension withstudentsduetomixedmessagingtheymayreceiveontherelevanceofphysics.Beverly (pseudonym),whoismajoringinhumanbiologywiththeintentionofattendingmedicalschool, statesthatphysiciansshehasshadowedhavetoldhertheydonot˝ndphysicsrelevanttowhatthey do. beverly: ItalkedtolikevariousphysiciansI'veshadowedandaskedthemlikewhatdoyou actuallyuse...they'relike..."Idon'treallyusethatmuchphysics" Int1 ] Beverly'sbeliefthatphysicsisacourseshejusthastogetthroughseemsinagreementwiththe beliefsofmedicalstudents,graduates,andphysicianswhostatethatphysicswasirrelevanttotheir successTherehavealsobeenstudiesreportingthatphysicshasnostrongcorrelationwith successinmedicine[63,64].Wewillshowhow,insteadofchallengingstudents'beliefsabout therelevanceofphysicstotheirfuturecareers,wecanstarttoincorporatetheirrichdisciplinary experiencestomakephysicsmorerelevant. Failureinastudent'sabilitytoseephysicsconnectingtoone'sworldorlifeappearstobe damningindictmentoftheabilitiesofstudentstoengageinthoughtfulre˛ectionabouttheir coursework.Wedon'tbelievetheauthorsofeveryarticlereportingnegativeresultsonclusters fromthesesurveysmeantosuggestthis.Webelievetheissueliesinthelimitedpictureofrelevance andwhatitmeansto measure astudent'ssenseofrelevance.Wesuggestthatperhapsthemeasure ofrelevanceprovidedbysuchattitudinalandbeliefsurveysisincomplete,especiallywithregardto 47 howdisciplinaryexperiencesoutsideofphysicsimpactthatsenseofrelevance.Wepresentanalysis inthispaperthatpushesagainstde˝citinterpretationsandinsteadarguesthatifstudents'ideasare broughtintotheclassroom,studentscananddomakerelevantconnections. 5.1.4Anincompletepictureofrelevance Wearguethatresultsfromclustersprobingrelevancearenotsu˚cienttoformacompleteanswer tothequestion:Dostudentsbelievephysicsisrelevanttothem?Themajorityoftheworkon relevanceinPER[4,5,19,20,38]hasbeencenteredonthelocalcontextofthephysicsclassroom, howphysicsmayimpactstudents'futurecareers,orhowstudentsrelatephysicstotheirworld (thegeneralized"realworld"ortheireverydaylives).Theseareasofintersectionbetweenthe physicsclassroomandastudent'slifefailtocapturesomecriticalwaysinwhichstudentsinform theirattitudestowardphysics.Studentsoftenarriveattheintroductoryphysicsclassroomwith attitudesandbeliefsinformedbyexperiencesoutsideofthephysicsclassroom,conversationswith friendsandfamily,andthedisciplinaryperspectivestheymayhold.Weargueforexpandingour notionofwhatcontributestoastudent'sperceptionoftherelevanceofphysicstoincludethese additionalexperiences.Thestudentsinthisarticlearealllifesciencemajors;theyhavearich setofdisciplinaryexperiencesoutsideofphysicsthatmayinformandimpacttheirrelationship withphysics[36].Throughtheirexperiences,wewillshowthatexpandingourprobestoinclude disciplinaryexperiencesoutsideofphysicscapturesaricherimageofhowphysicscanberelevant. Tosupportthisexpansionofwhatcontributestorelevance,weadaptecologicalsystemstheory [22]torepresentstudentsasexistinginoverlappingsystemsthatallcontributetotheirperception oftherelevanceofphysics.Thisapproachenablesustobuildaconstructofrelevancethatgoes beyondtreatingastudent'ssenseofrelevanceascontained within thestudent,itallowsustoask questionsabouttheintersectionofthemanyexperiencesinastudent'slifethathavecontributedto theirviewoftherelevanceofphysics. 48 5.2TheoreticalFramework Inthissection,werevisitthemessinessofrelevanceasaconstructandattempttogiveitmore structureandde˝nition.Inconstructingatheoryofrelevanceforphysicseducationresearch,we remindourselvesofthepurposeofthisentireenterprise.Weareinterestedin˝ndingoutifwe, asinstructorsandresearchers,canimpactstudents'beliefsaroundphysics.Withthisinmind,we setouttoanswerthefollowingquestions.Forwhatpurposeswillstudentsretrievetheinformation theyhavelearnedinphysicsoutsideoftheclassroomorviceversa?Willstudents˝ndmeaningor valueinphysicsbeyonditspurposeintheclassroom?Dostudentsconstructproductiveconnections betweenphysicsandotherscienti˝cdisciplines? 5.2.1Positioningrelevanceasatheoreticalconstructamongstattitudes&beliefs "Doyou believe physicsisrelevanttoyou?"Howwecolloquiallyproberelevanceinconversations invokesbeliefsystems,asdoesthelanguageusedinsurveymeasuresinPER[4,5,19,20].Beliefs, then,serveasastartingtheoreticalfoundationforustobuilduponinoperationalizingrelevance. Pajaresprovidesathoroughviewofbeliefs,tracingitsdevelopmentasaunitofanalysisandthe challengesinarrivingataconsensusforthemeaningofabelief.Hearticulatesasetof˝ndings, inferences,andgeneralizationsresearchershavecon˝dentlyreportedaboutbeliefs.Drawingfrom Pajares's16fundamentalassumptionsaboutbeliefshsupportedwithabodyof andfromthedecadesoffocusonimprovingphysicsinstructionwecanmoveforwardreasonably con˝dentthat(1)Students'beliefsaboutphysicsexistandmayimpactmanyaspectsofstudents' livesand(2)students'beliefsaboutphysicsarethefocusofmanye˙ortstoimprovephysics instruction. Inordertostartbuildingastructuretoorganizerelevance,weadaptRokeach'sorganizationof beliefsandattitudes[21].Rokeachdescribesanattitudeasasetofbeliefsfocusedonoraligned towardsanobjectorsituation[21].Wearguethatastudent'ssenseoftherelevanceofphysicsis notinformedbyasinglebeliefbutthatastudentusesmanybeliefs,formedandshapedbymany 49 Figure5.1:Arepresentationofrelevanceconsistingofmultipleattitudesandbeliefs.Thisisnot intendedtobeanexhaustivelistofallbeliefsandattitudesthathelpformasenseofrelevancebut servestogiveanexampleofsuchanorganization.Multiplebeliefs(inferredbybeliefstatements) areorganizedintoattitudes.Multipleattitudesconstituteasenseofrelevance.Beliefstatementsare usedtoinferbeliefsinthisstructureastheyarethemostreadilyaccessibletoresearchersmeasuring students'beliefs.Thisorganizationofrelevancealignswith(1)thestructureofprevioussurvey measuresofrelevanceinPERand(2)Rokeach'stheoreticalorganizationofbeliefs. experiences,toevaluatehowrelevantphysicsistothem.Similarly,wecontendthatastudentcan havemultipleattitudesthatformasenseofrelevance.Astudentmayhaveanattitudearound "physicsbeingrelevanttotheirfuturecareer"aswellasanattitudefocusedon"physicsbeing irrelevanttotheireverydaylife"andtheseinconcert,alongwithnumerousotherattitudes,can in˛uenceastudent'ssenseoftherelevanceofphysics. Thisorganizationalstructure(Fig5.1)vanceconsistingofoneormoreattitudes,which themselvesconsistofoneormorebeliefswellwithcommonlyusedsurveymeasuresin PER[4,5,19,20].Inthesesurveys,studentsareaskedtoendorseindividualbeliefstatements 50 bychoosinglevelsofagreementona˝ve-pointLikertscaleortosituatetheirviewpointbetween twoopposingbeliefstatementsona˝ve-pointscale.Theseindividualitemsrepresentingbelief statementsarethengroupedusingquantitativemethodstoarriveatsetsofitemsorclustersthat probesimilarideas.ThisapproachtothedesignofthesurveysalignswithRokeach'sorganizational structure:individualquestionitemsaskstudentstoendorsebeliefstatements,andasetofthese beliefstatementsaregroupedtogethertocharacterizeabroaderattitudetowardphysics. 5.2.2Adaptingecologicalsystemstheory Astudent'slifehasmanylayers,theyparticipateinamultitudeofsettingsandweexpecttheir senseoftherelevanceofphysicswillbeimpactedbythesenumerouscontextsandinteractions. Ecologicalsystemstheory(1)preservestherichnessandcomplexityofstudents'lives,(2)serves asamapforscholarsstudyingrelevancetolocaterelevantintersectionsofcontexts,and(3)provide utilitytophysicsinstructorsastheyattempttomakeinstructionmorerelevanttotheirstudents. Ecologicalsystemstheorywasoriginallydevelopedtocharacterizedi˙erentlayersofsystemsthat a˙ecthumandevelopment.Bronfenbrenner(1979)describestheecologyofhumandevelopment asthestudyofhowapersonandthedynamicsettingstheyexperiencemutuallyaccommodateand adapttoeachotherunderthein˛uenceofrelationsbetweensettingsandlargercontextsthesettings areembeddedwithin[22]. Therearethreeunderlyingfeaturesofthisframeworkthatwillbeimportantinourconstructof relevance:(1)Thepersonisconsideredadynamicentitywithagencytoimpacttheirenvironment; (2)Theinteractionbetweenapersonandtheirsettingsisreciprocalbynature,eachhavingthe abilitytoimpacttheother;(3)Theenvironmentthatisin˛uencingthepersonisnotlimitedtoa singlesettingbutexpandedtoincludeconnectionsbetweensettingsandexternalin˛uences.We adaptthe˝rsttwofeaturestomeanthataphysicsclassroomdoesnotsimplyimpartknowledgeon itsstudentsbutisshapedbythestudentsandtheexperiencestheybringin.Weadaptthethird featuretostatethatastudent'ssenseofrelevanceofphysicsisnotsolelyin˛uencedbytheirphysics classroom. 51 Inadaptingthesefeaturesofecologicalsystemstheory,webringalongasituativeviewof theSpeci˝cally,wewillconsiderhowthestructuresandculturalvaluesof aphysicsclassroomcaninformrelevancethroughinteractionswithothersettingsinastudent's life.Thissituativeperspectiveonwhatcontributestoastudent'ssenseofrelevancewillhave implicationsforourviewoftheabilityofcommonlyusedattitudinalandbeliefsurveystoprobe thewholeofrelevance.Particularly,itemsprobingstudents'beliefsaroundconnectionsbetween di˙erentdisciplinarycoursesaremissing.Wewillshowhowtheseconnectionscanbeanimportant contributiontoastudent'ssenseoftherelevanceofphysics. Anadditionala˙ordanceofthissituativeperspectiveonrelevanceisthatitgivesusthepowerto describetheenactmentofphysicsclassroomwithmorerichness.Thisviewpositionstheclassroom asanactoronthestageratherthanapassiveenvironmentthestudentexperiences.Thesituative perspectivenecessitatesthatweacknowledgethatthedesignandimplementationofaclassroom isimbuedwithculturalvaluesthroughitsstructuresandnotsimplyacollectionofcurriculaand pedagogy.Theclassroom'stoolsandmaterials,discursivepractices,participatorystructures,and taskstructures[68]allconveyculturalvalues.Webelievethatviewingtheclassroomasoneactor amongmanyinastudents'ecosystemcanhelpinarticulatingthestructureswithintheclassroom andrelationshipsacrossclassroomsthatpromoterelevance. 5.2.2.1Structure&OrganizationofEcologicalSystems Bronfenbrenner[22]organizedecologicalsystemstheoryasasetofconcentricsystemsencompass- inganindividualasshowninFig5.2.Eachsystemrepresentslayersofcontextsandinteractions whichmayinformthedevelopmentoftheindividual.Inthedescriptionsthatfollow,wewilladapt ecologicalsystemstheoryfromitsoriginalpurpose,whichwastoexplorehumandevelopment,to describestudentsinaphysicsclassroom. Thecharacteristicsandidentitiesoftheindividualincludingbutnotlimitedtoage,sex,race,or healtharepositionedinthecenter.The˝rstlayerencompassingtheindividualisthemicrosystem, whichisde˝nedas"apatternofactivities,roles,andinterpersonalrelationsexperiencedbythe 52 Figure5.2:AvisualrepresentationofBronfenbrenner's[22]organizationofecologicalsystems theoryasasetofconcentricsystemsencompassinganindividualvingoutwardfromthe centerarethemeso-,exo-,andmacrosystems. developingpersoninagivensetting...[22]"Wecanimaginethissystembeingoccupiedwith settingsastudentactivelyparticipatesinincludingtheircoursework,researchgroups,jobs,social settingswithpeersandfamily,andmore.Inadditiontothesettings,themicrosystemalsoincludes therolesthestudentsplayinthesesettingsandtheinterpersonalrelationswithinthesesettings. Themesosystem"comprisestheinterrelationsamongtwoormoresettingsinwhichthedevel- opingpersonactivelyparticipates...[22]"Themesosytemcanhelpusdescribetheinterrelations betweensettingsinthemicrosystem.Forexample,aphysicscourseandabiologycoursemay interactwitheachotherthroughthecultureenactedineachcoursewhichcanincorporatethepeda- gogy,curricula,orparticipationstructures.Acommoninteractionweencounterinthemesosystem isthatourstudentsenterourcoursehavingheardhorrorstoriesofphysicsexperiencesfromtheir 53 peers,family,orfromthebroadermessagingthatphysicsisdi˚cultandnotdirectlyapplicable tothefuturecareersoflifesciencestudents.Inthispaperwewillfocusonelementsofstudents' mesosystemsandshowhowtheycanbepowerfulmediatorsofastudent'ssenseofrelevance. Theexosystemincludesthesettingsthatthestudentdoesnotactivelyparticipateinbutnonethe- lessimpactorareimpactedbythesettingsinwhichthestudentactivelyparticipates.Examplesof elementsintheexosystemincludethephysicsexperiencesoffamilyorfriends,theemploymentof astudent'sprimarycaregiver,orthepoliciesthatimpactastudent'seducation.Thislevelofthe student'secosystemcanalsoholdfuturecareerquali˝cations,medicalschooladmissionscriteria, andevenmassmedia.Alloftheseinteractionsinformnotonlyastudent'sparticipationinthe physicsclassroombutalsoin˛uencethedesignandimplementationoftheclassroomitself. Themacrosystemcontainsculturalandsocietalnormsthatexistconsistentlywithinanysetof lower-ordersystemsmeso-,orexo-canincludebeliefsystemsandideologiesthat governthelower-ordersystems.Wecanimaginethecontributionsofthecultureandsocietyto astudent'sperceptionoftherelevanceofphysics.Ifwenarrowourfocustotheculturewithin speci˝cscienti˝cdisciplines,theremayemergeasetofnorms,attitudes,ideologies,orexpectations thatgovernparticipationinavarietyofsettingsofastudent'smicrosystem.Themacrosystemhas importantimplicationsforourstudyofrelevance.Allofthestudentsdescribedherehavea disciplinarymajoroutsideofphysics;thecultureofastudent'shomedisciplinecaninformtheir participationinandattitudestowardphysics.[69,70] Bronfenbrennerwouldlateraddalayerbeyondthemacrosystemcalledthechronosystemwhich includeseventsandtransitionsinone'sownlifeaswellastheenvironmentaroundthem.Inthis studyweexcludethechronosystemfromconsiderationaswedonothavesu˚cientlongitudinal datafromstudent'sentirelivestocommentonthesigni˝canceofmajorlifeeventsandtransitions beyondtheirtimeinourphysicsclassroom. Eachofthesesystemswillplayaroleinstudents'livesbutforthepurposesofthispaperwe willfocusourattentiononthemicrosystemandmesosystem.Webelievethesetwolayersrepresent richspacestoexploretherelevanceofphysicsandarethemostreadilyaccessibleinthedesignof 54 thisstudy. 5.2.3Relevancethroughtransformationofparticipation Aconsequenceofusingasituativeapproachtorelevanceisthatthesettingsandthestructures thatcomprisethemareembodiedwithvaluesandtheyareintertwinedwiththeco-construction ofrelevancewiththestudent.Rogo˙andcolleagues(1995)describedthisintheirworkon de˝ningdevelopmentasatransformationofparticipation."Individuals'e˙ortsandsociocultural institutionsandpracticesareconstitutedbyandconstituteeachotherandthuscannotbede˝ned independentlyofeachotherorstudiedinisolation[66]."Thisdirectlyinformshowweinterpret students'experiencespresentedinthispaper.Ourstudents'statementsaround˝ndingphysicsto berelevantareoftenintertwinedparticipatoryactsthatreciprocallyimpactandareimpactedbythe classroomstructures.Theclassroomstructuresandthestudent,inconcert,shifttheirparticipation fromexperiencinganactivityinphysicstotransformingtheactivitywiththeircontributions. 5.3Methodology 5.3.1Studio&IPLSclassroomsarerichcontextstostudyrelevance Thecontextforthisworkisanintroductoryphysicsforthelifesciencesclassroominaresiden- tialcollegewithinMichiganStateUniversitycalledBriggsLifeScienceStudioPhysics(BLiSS Physics).Thisphysicscoursehasbeenrecentlyreformedtoleverageconnectionstobiologyinthe learningofphysics.Aspreviouslymentionedinthedescriptionofthemesosystem,onewaywe expectstudentsto˝ndrelevanceinphysicsisthroughcross-disciplinaryconnections.Classrooms thatpromotebuildingofconnectionsacrossdisciplinesarearichcontexttoexploreaconstruct suchasrelevance.Astudentwhoismajoringinthelifesciencesmayalreadyhaveastrongsense ofrelevanceoftheirownareasofstudythatmaynotextendintothephysicsclassroom.Acon- textthatemphasizesconnectionsbetweenphysicsandthestudents'homedisciplinesprovidesthe opportunitytoobservestudentsexperiencingandre˛ectingontheseconnections.Thesemoments arecharacterizedbythenatureoftheclassroomactivityandastudent'sparticipationimpacting 55 oneanother. BLiSSPhysicsadaptscurriculum,discursivestructures,andparticipationframeworksfrom ModelingInstructionforintroductoryuniversityphysics[39,40].Inadditiontobreakingthe traditionaldistinctionoflectureandlaboratory,ourimplementationofthestudioformatinthis courseemphasizesstudent-ledinvestigationsasanentrypointintoeveryunit.Studentgroups designandimplementinvestigationstoarriveatempiricalrulessupportedbyevidencethatgovern aphenomena.Theentireclassroomthenutilizeswhite-boardmeetingsandargumentationtoarrive ataclassroomconsensus[40,71].Computationalactivitiesareusedthroughoutthecourseto supportstudentsgainingcompetencyinusingvPythontomodelandvisualizephenomenathat cannotbedoneusingtraditionalclosedformanalyticmethods.Intheseactivities,studentsare presentedwithminimallyworkingcodethatrunswithouterrorsbutislackingthecorrectphysics. Studentsthenareaskedtousetheirphysicsconceptstowriteorcorrectthefewlinesofcodesothat thephysicsusedinthesimulationiscorrect.Studentsareneveraskedtowritepythoncodefrom scratch,ratherthefocusisonstudentsdevelopinganunderstandingoffoundationalprogramming structures(constants,loops,conditionallogicstatements,etc.)andtogaincompetencyinmodifying existingcodetosuittheirneeds. Inintroductoryphysicsclassroomsweoftenpositionstudentsasbeingnovicewithoutconsid- erationtotheextensiverichdisciplinarycontentknowledgetheypossessoutsideofthediscipline ofphysics.Toaddressthis,BLiSSPhysicsintentionallypositionsstudentsasbeingexpertintheir homedisciplinesandhasspacedesignedtoallowstudentsto bringin theirexpertise[36].When studentsengageinbringingindisciplinarycontentknowledgeorlifeexperienceintothephysics classroom,itpresentsasigni˝cantopportunitytoforgeconnectionsbetweenstudents'livesand physics. 5.3.2DataCollection Thedatapresentedinthisarticlearepartofalargerdesign-basedresearch[30]endeavorin(1) developinganditeratingonanintroductoryphysicsforthelifesciencescourseand(2)articulating 56 Figure5.3:Thetime-lineofdatacollectionforthecasestudiespresentedinthispaper,Nicoleand Maria.BothstudentstooktheBLiSSPhysicscourseintheFallsemesterandadi˙erentsecond semesterphysicscourseintheSpring.InYear1ofthisstudy,in-classvideowasrecordedoffocal groupsworkingthroughaunitondi˙usion.InYear2,focalgroupswererecordedthroughoutthe entiresemester.This˝gurerepresentsasubsetofamuchlargerresearchstudythatfollowedover 25studentsacrossthe2years. designconjectures[68]inestablishingaclassroomenvironmentthatattendstostudenta˙ect, positionsstudentsasdisciplinaryexpertsinthelifesciences,andpromotestherelevanceofphysics. design-basedresearchisasituatedapproachtostudyingclassrooms;theembeddednatureofthis methodologyisre˛ectedintheanalysiswhichcoordinatesacrossmultiplestreamsofdataacross twoyearsofiterationinthecourse. Potentialcasestudentswereidenti˝edfromacoursesurveygiveninthe˝rstweekofclass thatasksstudentstore˛ectontheirpreviousexperienceswithphysicsaswellastheirdisciplinary interests.Thesurveyincludedbothopenandclosedresponsesandwerereviewedforthepresence ofcertainfactorssuchasstudentsexpressingastrongdisciplinaryidentity,highanxietyorfear leadingintothe˝rstsemesterofphysics,orstudentswhowereopentophysicspotentiallyplaying aroleintheirfuturecareer. Independentofthesurvey,studentswereaskedtoconsenttoin-classvideorecordingaswell asvolunteertoparticipateinresearchinterviews.Studentswhosesurveyresponsesweredeemed 57 interestingbasedonthefactorsdescribedabovewerecross-matchedwithinterviewvolunteers.A semi-structuredinterviewprotocolwasdevelopedtoprobestudents'beliefsaroundtherelevance ofphysicsaswellastheirbeliefsaroundthedesignofthecourse.Thecasestudentsthatwere interviewedwererecordedinclassastheyworkedonactivitiesinsmallgroups.Basedontheinitial interview,in-classvideo,andavailabilitystudentswereinterviewedmultipletimes. AuthorNairwasembeddedinthecoursebothasaresearcherandasamemberoftheinstruc- tionalteam(insectionshewasnotconductinginterviews).Fieldnotesandobservationswereused tocapturesigni˝cantmomentsintheclassroomaswellasthegenerale˙ectivenessofclassroom activitiesinachievingtheirlearningoutcomes.Thisdeepinvolvementintheclassroomenviron- menthelpedformanunderstandingofthecultureoftheclassroomaswellasthediscursiveand participatorynormspracticedthroughoutthecourse. The˝rstinterviewtookplaceinthe˝rstfewweeksoftheFallsemester.Thesecondinterview tookplaceapproximatelyhalfwaythroughthesemesterafteraunitondi˙usion.Thethirdinterview wasconductedmidwaythroughtheSpringsemester(Fig5.3).Oneofthecasestudents,Maria, becameanundergraduatelearningassistantinthecourseandwasinterviewedafourthtimemidway throughtheir˝rstsemesterontheinstructionalteam. 5.3.3AnalysisMethods Inthispaper,weincludedatafromtwocasestudies.Maria(pseudonym)wasastudentinthe˝rst yearofthecourse,andNicole(pseudonym)wasastudentinthesecondyearofthecourse.After articulatingcategoriesofrelevancePERhaspreviouslyexplored(SectionBoftheIntroduction), weconductedsemi-structuredinterviewstoprobeeachcategoryanddiscovernewcategories.Each interviewwiththesecasestudentswasvideorecordedandtranscribed.WeusedMAXQDA[32]to codeeachinterview'stranscriptforevidenceofstudent'sbeliefsaroundtherelevanceofphysics. Weutilizedanopencodingschemetoexpandandre˝neareasthatcontributedtotherelevanceof physics.Eachcasestudent'sin-classvideowasanalyzedto˝ndandcorroborateeventsdescribed ininterviews,theresultingmomentsweretranscribedandanalyzed.Intheclassroom,authorNair 58 waspresentforthevastmajorityofclasssessionsandrecorded˝eldnotesofinterestingmomentsin whichthecasestudents'sensesofrelevancemayhavebeenimpacted.Basedonhisobservationsin classauthorNairconductedimpromptuaudio-recordedinterviewswiththeinstructoronmultiple daystobetterunderstandinstructionalchoicesandtocapturere˛ectionsofmomentsshortlyafter theyoccurred.MAXQDAwasusedtotriangulatethesedi˙erentstreamsofdataandtorecord analyticmemosastheprojectprogressed.Thisanalysiswaspresentedanddiscussedatmultiple researchmeetingstocheckthevalidityofinterpretationsandclaims. Inthenextfewsections,weoutlinecasestudiesofMariaandNicole:twostudentsmajoringin thelifescienceswhoreportrelevantconnectionstophysics.Theirrichexperiencesgobeyondwhat canberevealedbycurrentsurveymeasuresandchallengethede˝citinterpretationsoflifescience students'abilitytoseetherelevanceofphysics.Informedbytheirexperiences,weargueforan expandedviewofrelevancethatincludestheconnectionsstudentsmakeacrosscoursestructuresas wellasrelevanceco-constructedinaclassroomdesignedtosupportrelevantconnections.Maria's casehighlightstheimportanceofthemesosysteminfosteringrelevancethroughconnections betweencourses.Maria'sexperienceshaveimplicationsforhowaphysicscoursecanbedesigned tofosterrelevancebutinpastscholarshiptheseattemptsinvolvelayering-onactivitiesofre˛ection andmeta-cognitivedevelopment.Insteadoflookingforwayswecanimposerelevanceonstudents, wetracetheexperiencesofNicoleasanexampleofhowcoursedesignandparticipatorystructures canimpactastudent'ssenseofrelevanceandhavelastinge˙ectsafterthecourse. 5.4"Maria" Mariaisamicrobiologymajorwithaminorinepidemiologywhoidenti˝esstronglyasa microbiologist.Shehasfoundedorheldleadershippositionsinmultiplebiologyandinfectious diseaserelatedorganizations.Sheworksinawatermicrobiologyresearchlab,tutorsstudents,and conductscampustours.AtthetimeoftheinterviewMariawasconcurrentlyenrolledinthephysics courseandaprokaryoticphysiologycourse.Mariahadpreviouslytakenphysicsinhighschooland recallsthatexperienceasbeingdisconnectedfromherinterests.DuringthisstudyMariawasinher 59 junioryearofherundergraduateeducationandplannedtopursueagraduatedegreeinpublichealth aftergraduation.Inour˝rstinterview,Mariare˛ectsonherpreviousexperiencewithphysics. maria: ThelasttimeI'vehadphysicswassophomoreyearofhighschool...Ijustdon't thinktheydidaverygoodjobofconnectingitbacktoeveryone'sinterests...itwas justtheoreticalpurephysics.So,notmything... Int1 ] Mariastatesthatthetypeofphysicscoursesheexperiencedinhighschoolwasnote˙ectivein connectingtostudents'interestsingeneralandhasconcludedthatphysicsis"notherthing."When askedifshebelievesphysicsisrelevanttoher,sheisoptimisticabouttheBLiSSPhysicscourse andsuggeststhatconnectingtobiologymaybeapathtowardsrelevanceforher. maria: Ithinkinthiscourseitmaybealittlemore'causeofthe[biology]connections, otherwiseIwouldprobablysayno[ laughs ] Int1 ] InthissectionweexplorethewaysinwhichMariais˝ndingrelevanceinBLiSSPhysics thatgobeyondwhatattitudinalandbeliefsurveymeasureshavetheabilitytocapture.Weadapt Bronfenbrenner'secologicalsystemstheorytodescribesomeofthecontextsinMaria'slifethat haveconnectedtoherphysicscourseandimpactedherviewofphysics.Finallywearguethat studentslikeMaria,whoarelifesciencemajorscananddo˝ndphysicstoberelevant.Weshift awayfromde˝cit-framingtolookforwaysinwhichthedesignofthephysicsclassroomandthe ecologyofherdisciplinaryexperienceshavesupportedampli˝cationofhersenseofrelevance. 5.4.1DescribingMariawithecologicalsystemstheory IfweweretoimaginetheecosystemthatMaria'slifeexistswithin,theremaybeamultitudeof elementsthatarenotvisibletoinstructorsorresearchers.Eventhoughweareunabletofully describeMariaasapersonedoubtanytheoreticalmodelcanfullyencapsulateaperson'slife 60 aremanyelementsandrelationshipsthatweseeplayinganimportantroleinhersenseof relevance.Wefocusonthoseareasinwhatfollows. 5.4.1.1Maria'smicrosystem Startingwiththemostcentralsystem,Maria'smicrosystemincludeshercourses,hermicrobiology majorprogram,herwatermicrobiologyresearchlab,herclubsandorganizations,aswellasher familyandpeers.Additionally,hermicrosystemincludestherolesshetakesonaswellasthe interpersonalexperienceswithinthesesettings.ThesearethesettingsinwhichMariaactively participatesandengagesinactivitiesandweexpectthemtocontributetohersenseofrelevance. 5.4.1.2Maria'smesosystem Maria'smesosysteminvolvestherelationsbetweenthesettingsinhermicrosystem.Mariawas enrolledinaprokaryoticphysiologycourserentlywiththe˝rstsemesterofphysics himpactedhersenseoftherelevanceofphysicsinansweringquestionsinmicrobiology. Theresearchsheconductsinwatermicrobiologyimpactedhowsheperceivesorparticipatesina physicsactivityexploringtheresistiveforcesexperiencedbyawater-dwellingparamecium. 5.4.1.3Maria'sexosystem Expandingfurther,thesettingsinMaria'sexosystemincludehermicrobiologymajor'sundergrad- uateprogramcommittee,futuregraduateschools,andfuturecareeropportunitieswithinmicrobi- ology.Italsoincludessettingsthatherfamily,friends,andpeersengagein.Thesearesettings inwhichMariadoesn'tactivelyparticipateinorimpactbuttheyhaveimplicationsfortheset- tingswithinhermicrosystem.Forexample,therequirementsinafuturegraduateprogramor careercanimpactthecoursesthatpopulatehermicrosystem.Maria'sfriendsandfamilymay havehadexperiencesinclassroomsorworkplacesthatcanimpacthowsheparticipatesinherown coursework. 61 Figure5.4:Maria'smicrosystemandmesosystem.WhilethewholeofMaria'sexperiencescan neverbecapturedinanydiagram,this˝gurerepresentsareasofMaria'slifethatweconsider importanttoexploringtherelevanceofphysicstoMaria. 5.4.1.4Maria'smacrosystem Lastly,Maria'smacrosystemaccountsfortheculture,beliefs,orideologiespermeatingthroughher moreinnersystemsmeso-,andexosystemsformaconsistentthreadthroughouther experiences.Mariareadilypointsoutthatsheidenti˝esasa micro biologistandnota macro biologist. Microbiologyasadisciplinaryareaofstudycontainsasetofnormsandexpectationsonthe appropriatescalesofresearchquestionsaswellaswaysofcommunicatingwithintheircommunity. Thephysicsclassroomwillattempttosetnormsandexpectationsforwhatitmeanstodophysics butthesenormsandexpectationsinteractwithandarewovenintoalargernetworkofculture, beliefs,orideologiesofwhatitmeansto do physicsasopposedtobiology. MappingMaria'sexperiencesontoecologicalsystemstheoryhelpsusseethevalueofthe 62 mesosystem.ThereareafewitemsoncommonlyusedPERsurveysthatprobethemesosystem toaskaboutpotentialconnectionsbetweenthephysicsclassroomandthestudent'slifeoutsideof theclassroom.Wecontendthatmovingawayfromanabstractsenseof lifeoutsideofthephysics classroom andmovingtowardidentifyingspeci˝csettingswillhelprevealusefulconnections instructorsandresearcherscanleverageinbuildingrelevancewithstudents.Inthenextsection wedivedeeperintoMaria'smesosystemforspeci˝csettings,roles,andinterpersonalrelationships thathaveimpactedMaria'ssenseoftherelevanceofphysics(Fig5.4). 5.4.2InteractionsbetweenphysicsandmicrobiologyinMaria'smesosystem Inthe˝rstinterviewwithMaria,shewasafewweeksintothe˝rstsemesterofphysicsandalready identi˝edpotentialconnectionsbetweenphysicsandherothercourses.Whenaskedifshesaw biology,chemistry,andphysicsasbeingrelatedshereplied: maria: Whyarethingsmovingthatwaywithinthecell?Whycanthecelldothat?Well,it's physics.actually,wetalkedaboutlateralmotilitywithinthecytoplasmicmembrane inum...inmicrobio,andI'mprettysuremyprofessor'swordsweresomethinglike 'thethermodynamicsandthephysicsoftheyouknowthecytoplasmicmembraneare agloriouschapterinmicrobio!'[ laughs ]...anytimeanythingismoving,orevenjust youknowthethermodynamicthings,thingsyoudon'tthinkabout,it'sphysics. Int1 ] Whenaskedifsheseesconnectionsbetweenphysicsconceptssheiscurrentlylearningandher othercourses,shenotesthattheconnectionsaremostlyrelatedtomotionandthattheyarebasicin nature. maria: ThesearealittlemorebasicbutImeanIknowit'sgoingtoapplysomewhere.You knowyoucan˝ndvelocityofabacterialikewedidactuallyinouractivity[motion trackingvideoofbacteria]andstu˙likethat,andyouknowhowdi˙erentthingsa˙ect theirvelocityandstu˙likethat.Butsofarit'sprettybasic... 63 Int1 ] TherearetwofeaturesofMaria'sstatementsthatre˛ectcommonlyespousedbeliefsinour interviews.(1)Studentsattributethatmanythingsintheworldhappenbecauseofphysics,orthat physicsunderlieseverything.Thisisinlinewiththedisciplinarycultureofphysicsinwhichit claimstobefundamentalorfoundationaltootherdisciplines.[72](2)Theconnectionsstudents aremostreadilyabletomakeearlyinthecoursearearoundmotion.Sincemotionconstitutesthe ˝rstfewunitsofthecourse[40],itisunderstandablethatstudentsattributemotionofobjectsor creaturestophysics.Maria'searlyconnectionsdonotrevealdeeperconnectionsoccurringbeyond observingthatphysicssometimespopsupinherothercoursesintheformofmotionorastatement ofreverenceforthephysicsunderlyingmorecomplexmechanisms. 5.4.2.1Maria'sevolvingsenseofrelevance Midwaythroughthe˝rstsemesterofphysicsweinterviewedMariaagainandaskifshethinks biologyandchemistryplayaroleinherphysicsactivities. maria: Yeah,Ilaughed.BecausesoI'minprokaryoticphysiology...I'mamicrobiomajor, thenumberoftimesphysicscomesupisalittle...Yeah.Becauseweweretalking aboutthemovementof˛agella.Andhowsomepartsareusingthetorqueandwhat doesthework,anddi˙erentthingslikethat.I'mlike,thisisphysics.Andthenwewere talkingaboutthestrengthofthecellwallandthedi˙erentcomponents,andwhat's resistingandtheinsideforces,andwhat'sreallyprovidingtheprotectionintermsof physics.Sowenevergointodetailsbutthewordsarelike,it'sthere.Youknowit's physics. interviewer: Andthenyou'reseeingthatconnectedhere? maria: Yeah,Ithinkwhenwetalkedaboutthedi˙usionlab,thatwehadtalkedaboutthat previously.Inthatclass,thedi˙usionacrossthecellmembrane,andyouknow,viewing itassmallerelasticcollisions. 64 Int2 ] Mariaisseeingphysicscomeupinherprokaryoticphysiologyclassenoughtowarranther laughingaboutitbeingacommonoccurrence.InthisexchangeweseeMariaidentifyingphysics conceptsthatplayaroleinherprokaryoticphysiologyincludingtopicsofmovementof˛agella, forcesinsidethecell,aswellasdi˙usionacrossacellmembrane.Laterinthesameinterview,we askMariaherthoughtsonanactivitycalculatingtheresistiveforcesthataparameciumexperiences inwater[35].Thisactivityinvolvedmakingassumptionsaboutthedensityoftheparameciumand Mariasharesastoryofherbringinginhermicrobiologyexpertise. interviewer: Howabouttheparameciumone? maria: Iliketheparameciumone. interviewer: Youlikedit. maria: BecauseI'mamicrobiologist.SoIwaslike,thismakessomuchsense.Because Ithinkactuallyshe[theprofessor],whenyouhadtotakethedensityofit,Ithought ofitinawaylike,sheactuallyhadmetellittotheclass.Likeshehadn'tthought ofitthatway.ButIknowasamicrobiologist,theparameciumisgoingtotakeinits surroundings,likeosmosis.Andacellis99%waterasitis.SoIknewIcouldtakethe paramecium'sdensityapproximatelyaswater.Whichisnothow,shesawitaslikeoh, it's˛oatinginthewater,sothedensitieshavetoberelative.ButIwouldneverhave thoughtofitthatway. Int2 ] Mariare˛ectsonheridentityasamicrobiologistandthedisciplinaryexpertisethatshebrings withherintothephysicsclassroom.Sheo˙ersupanalternativereasoningpaththatdi˙ersfrom theprofessor'sexplanation.Inthecourse,positioningstudentsasexpertsinbiologyisasigni˝cant designfeatureanditmanifestshereastheprofessorvalidatingherideaandhavinghershareit withtheentireclass.ThisparticipatoryactofMariabringinginandsuccessfullyincorporatingher biologycontentknowledgeintoaphysicsactivityisanobservabledisplayofrelevance. 65 TheseinteractionsinMaria'smesosystembetweenherbiologyandphysicscoursesprovetobe apowerfulin˛uencethatMariaarticulatesneartheendofthesecondinterview.Mariaisaskedto expandonwhyshebelievesphysicshasthepowertoexplainwhythingshappen. maria: I'vealwayskindofthoughtofphysicsasmoreofaconceptual,beingabletoexplain things.Becauseittakesittosuchasimpleandmathematical,youcanmodelwithit. Butnotreallyuntiltakingthisclassandgettingthetools.Sure,youcanseesomething andbelikeoh,yeah,physicsprobablyexplainsthat.ButIdon'tknowphysics,so whywouldIthinkaboutitthatway.Idon'thavethattool.ButIthinktakingthis course,themicrobiologycoursealongsidephysics,wherethingslikeworkandtorque andforcearecomingup,ina˝eldthatIknowabout.Thathelpsyousee...But,Ithink ifIweretolookatphysics,IthinkI'minterestedinhowitrelatestothemacroscopic biologicalworld.Iknowotherpeopledootherthingsbutthis[parameciumactivity] isthephysicsIlike. Int2 ] IntheexchangeaboveMariastatesthatitwasn'tuntilshewastakingthephysicsclassalongside prokaryoticphysiologycoursethatshesawhowthetoolsofphysicsconnectwithadisciplineshe hasexpertisein.Mariaseesconnectionsacrossthetwocourses,andstatesthatthephysicsactivity onparameciumrepresentsthephysicsshewouldliketodo.Webelievethisisasigni˝cantmarker ofrelevance.Mariaexpressesinterestinphysicsandsheseesphysicsasatoolthatcanbeusedin microbiology. Whenthisphysicscoursewasdesigned,wedidnotimagineorplanforthissynergisticrela- tionshipwithprokaryoticphysiology.Itisnotfeasibleforaninstructortopredictthatastudent likeMariawillentertheirclassroomandmakesigni˝cantconnectionstoaspeci˝cdisciplinary course.WedonotcredittherelevantconnectionsMariabuildstothephysicscurricularmaterials oractivities,weinsteadpointtodesignedcoursestructuresthatmakespaceforstudentstobring themselvesintothephysicsclassroom.Mariabringsintothephysicsclassroomherdisciplinary 66 expertiseandheridentityasamicrobiologist.Theconnectionsshemakesarevalidatedbythe instructorandampli˝edbysharingthemwithherclassmates.Thephysicscoursestructuresand environmentsarenotchangingMaria,shearrivedinthephysicscourseseekingtomakeconnec- tionsandtoincorporateknowledgeacrossthedisciplines.Earlyinthecourse,Mariastatesthat sheseesphysicsplayingaroleinavarietyofbiologicalcontexts.Throughinteractionsbetween hercourses,weseeanampli˝cationofMaria'ssenseofrelevance.Wearticulatestructuresofthe classroomthathavesupportedthisampli˝cationinthenextsectionaswetracetheexperiencesof Nicolewhosesenseofrelevanceisalsoampli˝edthroughinteractionsbetweencourses. 5.5"Nicole" Nicoleisageneticsmajorwhoisinterestedinacareerindatascienceinhealthinformatics. Nicolehassubstantialdisciplinaryexperienceinthelifesciences.Sheholdsthreejobsasan undergraduate:abiologylaboratorylearningassistant,apart-timeresearcherinanentomology lab,andaresearcherinageneticslabstudyingthee˙ectsofgenemutationsonproteinfunction.She hasnevertakenphysicsbeforeandhasheardfromherfriendsthatphysicscoursesattheuniversity weredi˚cultandterrible.NicoledecidedtotakeourBLiSSPhysicscourseafterarecommendation fromafriendwhopreviouslyworkedasalearningassistantintheclassroom.Inadditiontophysics, Nicoleisconcurrentlyenrolledinbiochemistryandacomputationalmodelingcourse.Wesplit ourdiscussionofNicole'sexperiencesintotwosectionsthatfocusonconnectionsacrosssettings inNicole'smesosystem.The˝rstsectiondescribesNicole'sviewsontherelevanceofphysics informedbyconnectionsbetweenhercoursework.Werepresenttheseformsofrelevanceinaway thatalignswithpreviouscognitiveperspectivesusedinphysicseducationresearchviews ofrelevancerepresentwhattheattitudinalandepistemologicalmeasuresdiscussedearlier[4,5,19, 20]aimtoprobe.ThesecondsectionalsolooksatconnectionspresentinNicole'smesosystembut pushesbeyondthecognitiveperspectiveintoasituativeperspectivewhereweconsiderclassroom structures,norms,andvaluesaspowerfulagentsthathelpco-constructandamplifyrelevancewith Nicole. 67 5.5.1Nicole'sperspectiveontherelevanceofphysics InthissectionwepresentevidencefromaseriesofinterviewstodescribeNicole'sbeliefsaround therelevanceofphysics.Wefocusonthemesosystemleveltodescribeherperspectiveofhow physics,computationalmodeling,andbiochemistrycoursescanberelevanttooneanother. 5.5.1.1Relevancebetweencomputationalmodeling&physics Our˝rstglimpsethatNicoleisseeingconnectionsbetweenphysicsandhercomputationalmodeling classisinour˝rstinterviewintheearlyweeksoftheFallsemester. interviewer: Haveyouencounteredphysicsinanyofyourothercourses? nicole: ...inmy[computationalmodeling]classyyesterdaywehadtocome upwithlike,weendedupcomingupwithourownmodelsfordroppingaballo˙of BeaumontTower.Andthenaskydiverso...andthenIhavehomeworktodoforthat classthisweekendaboutabungeejumper.Soyeah!Iamseeingphysicsalotright now,actually. interviewer: So,whatmakesthoseexamplesphysicstoyou? nicole: Forme,it'slikewheneverthere'ssomethinginvolvingmotion,likeIimmediately thinkphysics...Soallthosethingsthatlikewiththat[computationalmodeling]class, they'reallinvolvingsomesortofmotion,likeactuallythey'reallfallingmotions.But, thatisphysics,like˝rstthingthatcomestomind. Int1 ] LaterinthesameinterviewweprobeifNicolebelievesphysicswillbe helpful forcompleting herothercoursesordegree. nicole: I'vealreadyseenithelpmewithlikemy[computationalmodeling]classjust yesterday,actually.Like,itwasnicebecauseIwentfromcodinginphysics'lecture. AndthenIwenttothat,andweweredoinglikeasimilartypeofthing.Sothatwas kindofnicetolikeit'snicetohavethoseconnected... 68 interviewer: Wow.Canyoutellmeaboutsomeoftheseexamplesofliketakeme intotheperspectiveofylikewhenyouwalkintoclass,andafterdoingphysics andnowyou'regoingto[thecomputationalmodelingcourse],whendidyourealize thebasicconnections? nicole: Um,weweretryingtolikewritesomecode,andIwaslike,"Well,hey?LikeIdid thisinphysicstodaywell,I'llbelookingtoseeifthere'sanysimilarities,anythingI couldtakefromthat."AndtherewasactuallylikeonelittlepointthatIrealizedlike, "Oh,Ineedtoputthisinmyloop..." Int1 ] Nicoleisseeingparallelsbetweenthetypesofactivitiesandresourcesusedforbothherphysics courseandhercomputationalmodelingcourse.Thesimilaritiesbetweenthetypeofactivitiescued herto bringin elementsfromhercompletedphysicssolutionintohercomputationalmodeling programminghomework. 3 Nearthemiddleofthesemesterwefollow-upwithNicoleinasecond interviewandweaskhertoelaborateonconnectionsbetweenphysicsandherothercoursesand againshemakesconnectionstohercomputationalmodelingcourse. nicole: Yeah,soIthinkitisimportantformetohavelikeaclasslikephysicsbeableto connecttootherclassesbecauselikeIsometimeswonderlike,"Oh,whenwillIever usephysics?"Butlikethis[WoundHealingActivity[35,41]]kindofshowsthat,"Oh, itisrelevant".LikeitdoesmeansomethingtolikewhatImightbewantingtodointhe future.Andthat'sanotherthingthatlikewithanotherclassI'mtaking,I'mtakinglike thatcomputationalmodeling.AndsometimesIcankindofseehowlikephysicswould ˝tintothatwhereatleastlikethoseconceptsyouuseinphysicsthatkindofseemto beapplicableinthatclass,too.Andwe'vedonealotofstu˙withlikemodelinglike thespreadofdiseaseandstu˙.Sothat'sbeenreallyinterestingtokindofseehowlike 3 Itshouldbenotedagainthatthesetwocourseswerenotdesignedintentionallytohavethis alignmentandoverlap;Nicole'sexperienceswerethe˝rstindicationsthatthesetwocourseshad thepotentialtobesynergisticinpromotinghersenseofrelevance. 69 eventhoughit'snotdirectlyphysics,it'slikeconceptsthatwe'veusedinphysicsare alsobeingusedthere. interviewer: Gotcha.Doyouhaveanyspeci˝cexamplesofwhenyoumadethoseconnec- tionswiththecomputationalmodelingclass? nicole: Whenwetalkedaboutinclassyesterday,liketheLennard-Jonespotential,likewe ranamodellikeincludinglikethatspeci˝cequation. interviewer: Really? nicole: Yeah.Soitwasmodelinglike-itwasalotliketheonewedidin[physics]class whereweweremodelinglikethecollisions.Itwassimilartothat.Andthenlikehe usedtheLennard-Jonespotential...Iwassittinginphysicsyesterday,andIliketurned tomy(inaudible),like,"Oh,hey,likewemodeledthis.Ilikehavethisequationonmy computerrightnowthatweused".SoIthoughtthatwascool. Int2 ] Nicoledescribesamomentwheresheisinherphysicscourseandrealizingthatshehas completedworkfromcomputationalmodelingthatisrelevanttothephysicsactivityshe'sworking on.ThisisanalogoustothemomentNicoledescribesinthe˝rstinterview,whereshehasa relevantprogrammingactivityfromphysicsshecanusetocompletehercomputationalmodeling work.Physicsandcomputationalmodelingaretwosettingsthathaveareciprocalconnection thatstrengthensNicole'sbeliefthattheconceptsinphysicsareusefultocomputationalmodeling, andviceversa.Physicsconnectingtocomputationalmodelinghasadeeperimplicationinthat computationalmodelingisacriticalskillforNicole'splannedfuturecareerindatascience.Inthe aboveexcerptweseethisconnectionbetweencoursesasentangledwithNicole'spositedbeliefthat physicsmayberelevantforwhatshewantstodointhefuture.Inthenextsection,wecontinueto describerelevancewithinacognitiveperspectiveaswedescribewhatcanbeconsideredanideal manifestationrelevance,connectionsacrosstwodisparatedisciplines:PhysicsandBiochemistry. 70 5.5.1.2MesosystemInteractionsBetweenPhysics&Biochemistry Oneofthelearningobjectivesforthe˝rstsemesterofBLiSSPhysicsistocoverphenomenastudents mayhaveseenintheirBiologyandChemistrycoursesandtounpackthephysicsinteractions underlyingthem.WeseeNicolestatethatshemaynotusephysicspracticesdirectlyinaanother coursebutthatphysicsexplainswhylargerprocessesoccur.WeseeNicoleapplythisidea speci˝callytoin-classactivitiesinherBiochemistrycoursewhenweaskhertore˛ectonan activityexploringtheforceandenergyrequiredtounfoldaproteinusingopticaltweezers[35]. nicole: IthoughtthisonewasprettyinterestingbecauseI'mtakingBiochemrightnow.So likewetalkalotaboutlikeproteinunfoldingandstu˙andliketheconsequencesithas. Solikebasicallyeverylectureorso,she'lltalkaboutlikewhathappenswithcertain likemutationsingenesandstu˙.Andalotofithastodowithlikemessingwiththe proteinstructure.SoIthoughtthatwaskindofinterestingbecauseitappliedbackto BiochemandkindofgavelikeanadditionallayertowhatIhadalreadylearnedinthat classastowhystu˙likethatwashappening.Sothatwasinteresting. interviewer: Sodidknowingthatlikephysicsisinvolvedinthoseprocesseshelpkindof... nicole: ItdidactuallykindofhelplikebecauselikeIunderstoodthechemicalbackground ofit.Butlikeseeinganactuallikemoreofaphysicalreasonforitratherthanjust,"Oh, likethisaminoacidisinthewrongplace."Likeitkindoflikehelpedlikeconnect;like bridgethatgapbetweenlike,"Oh,thisisinthewrongplace.Becauseit'sinthewrong place,thisishappening" Int2 ] Nicolestatesthatphysicsprovidesalayerofunderstandingtothetopicsshecoversinher Biochemistryclassand˝ndstheseconnectionstohelpherbridgethegapbetweendescribinga processandunderstandingwhyitoccurs.Sherevisitsthisidealaterinthesameinterviewwhen weaskherifsheseescoursesconnectingtowhatshewantstodointhefuture. 71 nicole: Yeah,actually.Allthreeofthem[Biochemistry,ComputationalModeling,& Physics],IcouldseebeingapplicabletolikewhatIwanttodointhefuture...with Biochem,likeIcankindofseehowlikeIwanttokindofgoinlikeagenetics-based typeofinformaticsthingandlikeworkonlikebridgingthatgapbetweenlikegenetics andthecliniciansandhowtohelpthem.SolikeBiochemhashelpedwiththatbecause it'slikeshownmelikedi˙erenttypesofmutationsanddiseasesandstu˙andlikewhy they'recaused.AndthenthephysicskindofgoeswiththatbecauselikeBiochem showswhyit'scaused,andphysicsshowswhytheBiochemkindofhappens.Soyeah, Idothinkeverythingiskindofconnecting. interviewer: Whendidyou˝rststartthinkingthatthephysicsexplainswhytheBiochem ishappening? nicole: Itwasthesetypesofactivities.Ithinktherewasanotherlikesimilarproteintypeof one.AnditwaslikethatwaswhenIkindofrealizedlike,"Oh,likeamonthago,we didthisinBiochem,andnowwe'redoingitinphysics."Itlikemakessense. Int2 ] InthepasttwosectionswehavediscussedexamplesofNicolemakingconnectionsacross coursessheisenrolledinsimultaneously.WenowturnourattentiontoaninstancewhereNicole continuesmakingrelevantconnectionsaftershehasleftthe˝rstsemesterofphysics. 5.5.1.3MesosystemInteractionsBetweenPhysics&EukaryoticCellBiology InourthirdinterviewwithNicole,halfwaythroughtheSpringsemester,wediscussNicoleseeing physicscomeupinanothercourse. interviewer: Areyouseeingphysicspopupinotherplaces? nicole: I'mnotseeinglikephysicsasinlikeoh,thisisphysics.Butmorelikeconcepts likeintheEukaryoticCellBioclassI'mtaking.Wetalked,wespentlike,our˝rst examisonTuesday,andsothis˝rstsectionwasallaboutliketransportingproteins 72 andstu˙.AndsoIknowthatalotofithastodowiththestructureofthestructure ofthetransportersandstu˙andwelearnedlastsemester[BLiSS]likethatkind ofhydrophobicinteractionsandstu˙isimportantandit'sbecauseofphysics,like physics. Int3 ] WeseeNicoleexplainingthathydrophobicinteractionsareexplainedbythephysicsshe's learnedandthatithasanimpactonthestructureandfunctionofproteintransporters.Weagainsee Nicolepointingtophysicsasthemechanismbehindwhyprocessesexploredinherbiologycourses occurthewaytheydobutnowshecontinuestomakeconnectionsaftershehasleftthe˝rstsemester course.Nicole'sstatementsdescribingtherelevantconnectionsbetweenclassroomactivitiesin physics,computationalmodeling,biochemistry,andbiologycoursessuggestthatwecanlookto momentsinherclassroomexperienceinordertounderstandhowrelevantconnectionsarebuilt. Inthenextsectionwestaywithinthemesosystemtolookforconnectionsacrossthecoursework Nicoleexperiencesbutwepushbeyondthecognitiveviewthatrelevanceisonlyconstructedin Nicole'smindandconsidertheclassroom'sroleinhelpingfosterandamplifyrelevance. 5.5.2Situativeperspectiveoftheco-constructionofrelevance Intheprevioussection,wedescribedhowNicole'sbeliefsontherelevanceofphysicstoherother courseshasbeenimpactedbyherperceptionofclassroomactivities.Webelievethisviewisinline withthekindsofrelevancecurrentlyexploredinPERandisre˛ectedinthedesignofcommonly usedsurveys.Weargue,however,thatNicole'sbeliefsarenottheonlycontributiontotherelevance ofphysics.Inordertocaptureamorefullsenseofthisrelevance,weturnourattentiontothe roletheclassroomenvironmentplaysinhelpingco-constructoramplifytherelevanceofphysicsto Nicole.Inwhatfollows,weemployasituativeperspectivetoconsiderthereciprocalrelationship ofNicoleandherclassroominforgingasenseofrelevance. 73 5.5.2.1Relevancebetweencomputationalmodelingandphysics 13daysafterweconductedInterview2,Nicoleandtwootherstudentsareworkinginagrouponan activitymodelingtherandomwalkofaproteincollidingwithwatermoleculesby˛ippingcoins. Intheactivity,theproteinissaidtomoveinonedimensioneitherforwardorbackwarddepending ontheresultofthecoin˛ip[35].WhenNicole'sgroupmates(Alisa&Melanie,bothpseudonyms) voiceconfusionandfrustration,Nicoleexplainsthepointoftheactivityalludingtoapieceofcode producedinhercomputationalmodelingcoursethathelpedherunderstand. alisa: Theseprobabilitiesaredrivingmenuts! melanie: Isittheideathatit'swaveringalongthisoneline? nicole: It'sbasically,you˛ipacoin...andifit'splusoneifit'sheadsorminusoneifit's tails...[mycomputationalmodelingcode]makesitreallyeasytosee. RandomWalkActivity ] ShortlyafterthismomentweseeNicoleturnherlaptoptowardhergroupmatestoshowthem thesimulationshehaswrittenforhercomputationalmodelingcourse.Theprofessornoticesthis momentwhilewalkingaroundtheroomandsuspectsthatthegroupmaybeo˙-task.Asthe professorapproaches,Nicoleexplainsthatsheisshowingthegroupavisualizationshe'swrittenin hercomputationalmodelingcoursethatrelatestothisactivity.Theprofessoraskstoseewhatthe visualizationdoes,andweseeNicoleshowtheprofessorandhergroupmembershersimulation runseveraltimes.Nicoleexplainshowchangingthenumberof˛ipstheprogramsimulatesimpacts thedistancetraveledintherandomwalk.TheprofessorthensmilesandasksifNicolewouldbe willingtosharethiswiththeentireclass.Inthelastportionoftheclass,Nicoleprojectsherlaptop onthedocumentcameraforherclassmatestosee,andexplainshowhersimulationcreatesaplot thathelpsvisualizetherandomnessofrandomwalk.Sherunsthecodeseveraltimesannouncing howfartherandomwalkendedrelativetoitsinitialposition.Nicoleexplainsthatifyouletthe codesimulatealargenumberof˛ips,thereisabetterchanceofendingupfurtherawayfromwhere 74 itstarted.TheprofessorthensummarizeswhyshebelievesNicole'scodeisagoodvisualization oftheprocessofrandomwalk. instructor: SoIthoughtthiswasreallyniceright?BecausewhatNicoleisshowingus isthat,allshe'sshowingyouisthatasthetimeincreases,right?Whichisthesame asthenumberof˛ips,sonumberof˛ipsislettingyougoforalongertime,youare gettingmorelikelytoseeavariationfromzero.Right?Soit'sthesamethingasthat histogramplot.Butthisisshowingitinareallyniceway,likeyoucanseewherethe zerois,right?Andyoucanseewhereallofthevariationthatthestepsgivesyouand whereitendsupallinasingleplotwhichwasverynice. RandomWalkActivity ] Fromtheperspectiveoftheecologicalsystemstheory,thismomentfromthephysicscourse embodiesthereciprocalnatureofparticipantsandtheirsettings.Nicolebringsinandshares hercomputationalmodelingworkasawaytoshowthatitcanmakethepurposeofthisactivity "reallyeasytosee."Thesimilaritiesbetweenrespectiveactivitiesfromcomputationalmodeling andphysicsmediateandsupportNicolebutwealsoseeNicoleimpactinghercourseenvironment. TheprofessorinthiscourseinvitesNicoletosharehercodewiththeclassandsummarizeswhyshe believesNicole'svisualizationisvaluableinunderstandingthelearningobjectivesforthatactivity. ThisincorporationofNicole'scontributionsintotheinstructionsuggeststhathercontributions havesigni˝cantlyimpactedandaugmentedthatday'sphysicslesson.Infact,aftertheclass,author Nairinterviewedtheinstructorwhoremarkedthatsheinitiallyhadplannedtoswitchtoaplanned demonstrationbutrevisedherplansin-the-momenttomakespaceforNicole'scontribution.The reciprocityinthismomentandhercourseenvironmentimpactingeachothera criticalpartoftheconstructofrelevancewewanttodescribeandisinagreementwiththefeatures ofBronfenbrenner's(1979)ecologicalsystemstheory. WhatsetsthismomentapartfromtheprevioussectionisthatNicole'sconnection is relevant tophysicsbecauseshehasbecomepartofthatdaysinstruction.Herknowledgeandpreviouswork 75 fromaclassoutsideofphysicsisbroughtin,validated,andincorporatedintowhatitmeanstodo physics.Iftheclassroomdesigndidnotincludethe˛exibletimeandspacetoallowforNicoleto bringherexpertise in ,thenwemaynothaveseenthismomentplayoutaswehad. StatingNicole believes physicsisrelevantduetotheseinteractionsisnotcapturingthewholeof themoment.Theinstructor,throughheractions,suggeststhatNicole'scontributionsarerelevant anduseful.TheclassmatesthatlistenandgiveNicoletheirattentionsignalwhatishappening isrelevanttotheirlearningofphysics.ThetechnologyutilizedintheclassroomallowsNicole toprojectherpersonalcomputermakesthistypeofsharing-outpossible;thistypeofstudent-led presentationisacriticalpieceofthecourse'sdesign.Itisalloftheclassroomroles,structures, norms,andvaluesinconcertthatallowforthissenseofrelevancetobeco-constructedand ampli˝ed. Inordertoconnectthisexpandedviewofrelevancebacktothebeliefstructuresmentioned before,wereturnourfocusbackontoNicole'sbeliefstoverifythatthismomentwas relevant to her.AuthorNair,afterseeingthismomentplayoutintheclassroom,followedupwithNicoleover email.Thefollowingexchangehappensintheverysamedaytheeventstookplace. From: Abhilash To: Nicole HiNicole, IhadwalkedintoclassandnoticedyouwerepresentingworkfromaJupyternotebook.I'm wonderingifyoucouldreplywithabriefre˛ectionofyoupresentingthattotheclass:-how didthathappen?-howdiditfeel?-whatareyourthoughtsaboutpresentingotherworkin yourphysicsclass? Ijustwanttograbyourthoughtswhilethememoryisstillfreshinyourmind. Haveawonderfulday! 76 From: Nicole To: Abhilash HiAbhilash! Whenwestartedthecoin˛ip/randomwalkworksheet,IrealizedthatIhadessentiallydone thisinmy[computationalmodeling]class,soIshowedmygroup,becauseIthoughtitwas alotmoreeasytovisualizelikethatthanitwastophysically˛ipacoin.[Theprofessor] sawmedoingitandaskedifIwouldshowtheclass.Iactuallyenjoyeddoingit,because therehavebeenalotofconnectionsbetweenthetwoclasses,soitwasfuntobeabletoshow otherstheconnectionsIhadbeenabletomake.Ithinkshowingworkfromotherclasses actuallyhelpsalot,becauseitputsintoperspectiveallthedi˙erentwaysphysicsisused. Hopeyouhaveagreatday! Nicolebelievestheactofbringinginworkacrosscoursesishelpfulandsheenjoyedshowing herclassmatestheconnectionsshewasabletomake.Inthenextsectionwelookataconnection betweenbiochemistryandphysicsNicolerecallsinherthirdinterviewandhighlighttheimportant featuresthathelpedsupportthismemorableandrelevantmoment. 5.5.2.2Relevancebetweenbiochemistryandphysics InourthirdinterviewwithNicole,we˝ndoutthatconnectingacrossphysicsandbiochemistryis alastingmemoryforher. interviewer: Tellmesomememorablemomentsfromthe˝rstsemester. nicole: UmIthinkonememorablemomentwasliketowardstheendwhenweweretalking aboutlikethewatermoleculesandstu˙,IreallylikedthatbecauseIfeltlikeitrelated reallywelltoBiochem,soIthoughtthatlikethosetwoconceptsliketogetherlike reallygavemeareallystrongideaofwhypolarandnon-polarmoleculesdon'tinteract basically. 77 interviewer: Oh,ok,sotakemetothephywhichpartsweretheywhenyoutalkedabout water. nicole: Umthatwastheveryendofthesemesterwebasicallyjustdid-wedidn'treallydo anylikeexperimentationoranythingwejustkindoftalkedthroughalotofitandmade likegiantwhiteboardsanddrewalotofpicturesandstu˙.UmbutIrememberlike therewasonespeci˝cquestionwhereIwaslike"weliterallyhadanentireslideinmy biochemlecturethatisthiswordforword"SoIlikeshowedthemandI'mlikethisis what'sgoingonandthisislikehowthephysicswouldworkbehinditso. interviewer: Whoa,soyouwereshowingyourgroup-mates? nicole: Yeah interviewer: Inphysics? nicole: Hm.mmm.[ nodsinagreement ] interviewer: Umitseemslikealotoftimesyou'rebringinginoutsideofclassmaterials intotheclass,howdidthatfeel? nicole: Itwasnice,itwasnicetomakethatconnectionbetweenthetwo,becauseitkindof likereinforcestheideathatscienceissuperinterconnected. Int3 ] TheactivitywhichNicolereferstoaboveisadaptedfromNEXUS/Physicswhichasksstudents touseconceptsofenthalpyandentropytoreasonthroughwhyoilandwaterdonotmix.It explicitlyquestionswhyoilandwatermixedtogetherisn'tafavoredstateeventhoughitappears more"disordered"[35].Wenowturntothein-classvideotoseethismomentplayout.Nicoleis workinginagroupofthreewithclassmatesMelanieandAlisa;NicoleandMelanieareadjacent toeachother.Allthreestudentshavetheirheadsdown˝llingoutanswersto˝rstpageofthe activity.Nicole˝nishesansweringthe˝rstpageandturnsthepagetolookatthenextquestion (#4).Shethenexclaims"Ooh!Number4I..."andsmiles.Shethenquicklyreachesforherlaptop andpowersiton.Ashortwhilelater,Melanieis˝nishedwiththe˝rstpageaswellandcon˝rms heranswerswithNicole.ShethennoticesNicole'slaptopscreenandasksNicole"It'sbiochem?" 78 Nicolethenreplieswithasmileandsays"Yupbutit'sliterallytheanswertonumber4,so..." Nicolenotesmultipletimestoclassmatesandtoundergraduatelearningassistantsthattheconcepts inthisactivityarebeingcoveredsimultaneouslyinherbiochemistrycourse. Onelearningassistant(Miles,pseudonym),whoiscoincidentallymajoringinbiochemistry, stopsbyNicole'sgroup.MilesisacasestudentfromYear1ofBLiSSPhysics,whojoinedthe instructionalteamasalearningassistantinthefollowingyear.MilesvalidatesNicole'sconnection andstatesthatasimilarrealizationhappenedforhimwhenhewasastudentinthecourse;he hadseensimilardiagramsbeingusedacrossphysicsactivitiesandhisbiochemistrytextbook.He, againrelayshisownexperiencebydescribinghisformerbeliefthattheprocessesdescribedinthe activityweresimplydrivenbyenthalpyanddescribeshowhenowrealizeshewaswrong.When Nicoleandhergroupmemberssuggestthattheyare˝nished,Mileschallengesthemwithatask thatisnotpartoftheactivity:toconsideriftheprocessofasubstratebindingtoanenzymeis favorable.Throughthisinteraction,Nicolemakingconnectionsacrosshercoursesisnormalized andrea˚rmedbyalearningassistantwhohasthedualstatusof(1)astudentwhohassuccessfully completedthephysicscourseand(2)hasdisciplinaryexpertiseinbiochemistry. OverthecourseoftwoclassperiodsweseeNicoletakingtheleadonwritinghergroup's answersonwhite-boards,thiswasnotcommonforNicoleacrossherentiresemesterinthecourse. WorkingwithMelanieandAlisawasastatedpreferenceofNicole'sandshereportedthatshe workedmuchmoree˙ectivelywiththemthanotherstudents.Whetherwiththisgrouporothers, Nicoletypicallydidnottaketheleadonwritinghergroup'sresponsesandinsteadcanbeoften seenonvideoquietlyfollowinghergroup.SimilartothesynergybetweenNicole'scomputational modelingcourseandphysics,theoverlapbetweenbiochemistryandphysicsactivitieswasnot planned.Wearguethatthesimilarityofactivitiesisnotthemostsigni˝cantfeatureinmakingthis momentmemorableandrelevant. Thedatafromthein-classvideosuggeststhatthereareseveralclassroomstructuresthat helpfacilitateNicolebringinginrelevantbiochemistryknowledgeintoaphysicsactivity.The classroomnormsandcultureencouragestudentstoseekoutanyandallresourcestheyrequire. 79 Manystudentsusetheirownlaptops,phones,andtabletstolookupinformationorreadclass materialsonline;thisisencouragedandnotconsideredo˙-task.Nicoleprojectsherlaptoptothe classtoshowhercomputationalsimulationofrandomwalkandusesherlaptoptobringupher biochemistrynotes.Theclassroomcultureprioritizesstudentideasandbuildingconsensusover relayingthe"correctanswer."Thisa˙ordsNicoletheopportunitytotaketheleadanddemonstrate herknowledgefrombiochemistryandcontributetohergroup'swhite-boards.Miles'svalidation ofNicole'sconnectionsarebolsteredbyhisrolesasaseniorbiochemistrymajorandastudentwho hassuccessfullycompletedthephysicscourse. Alloftheclassroomstructures,norms,androlesthathelpfacilitateandco-constructthis momentcannotbedescribedbysimplymeasuringNicole'sbeliefs.Wearguethatthefullsense ofphysicsbeingrelevanttoNicole'sothercoursesexistsinherbeliefsaswellastheinteractions betweenNicoleandtheclassroom.Pre-to-postshiftsonattitudinalandepistemologicalsurveys canbeanimportantdatapointformeasuringrelevancebutitdoesnotcapturetherichnessand thepowerofclassroomelementsinamplifyingorco-constructingthosebeliefs.Usingecological systemstheoryallowsustoidentifythatthemesosystemcanserveasarichspaceforrelevance throughconnectionsacrosscourses.Oursituativeapproachtorelevancegivesusthechanceto(1) capturethesemomentsastheyplayoutinourclassroomsforamorecompletesenseofrelevance and(2)highlightcoursestructuresandnormsthatbedesigned/iteratedtoimpacttherelevanceof physicsforstudents. 5.6Discussion Inthispaper,wehavepresentedanalysisthatpushesbeyondthecognitiveperspectiveonrele- vanceandusesasituativeapproach[67],areadermayquestionifexploringrelevancenecessitates suchanexpansiveframework.Ecologicalsystemstheory'ssituativenaturegivesscholarsthelan- guagetostartidentifyingsitesthatmaybeformativeinastudent'ssenseoftherelevanceofphysics. Untilnow,thephysicsclassroomhasbeentheprimaryfocusofworkonstudents'beliefsonthe relevanceofphysics[4,5,Wearguethattheotherlayersofsystemswithinastudent's 80 lifecanplayacriticalroleinastudent'ssenseofrelevance.Inadditiontoallowingustomapout importantcontextsinstudents'lives,asituativeperspectivea˙ordsustheabilitytoexplorethe reciprocalrelationshipthatanenvironmentanditsparticipantshaveononeanother. 5.6.1Relevanceisco-constructedbystudentsandtheirenvironments Oneofthelimitationsinseeingrelevanceaspurelyacognitiveconstructisthatitputstheonuson studentsto believe thatphysicsisrelevant.Whenstudentsreporttheirbeliefthatphysicsmaynot berelevanttotheirlives,thereisariskthatscholarsmayfocusonhowto˝xstudents'beliefsas opposedtoaddressingthelayersofsystemsstudentsexistwithin.Movingawayfromade˝cit-view ofstudents'beliefs,wecanexploretherichwaysstudentsandphysicsclassroomscanco-construct andamplifytherelevanceofphysics. Mariaarguablyisastudentthatwillattempttomakeconnectionsinanyclassroomsheis inbutitisthedynamicrelationshipofthetwocoursesthathelpedforgehersensethatphysics isrelevanttoher.Thecurriculum[35,40]mayhaveintroducedthenotionthatphysicsand biologysharedisciplinaryideasbutwearguethatrelevancewasco-constructedbyMaria,her coursework,therolessheplayedinthosesettings,andtherolesthesettingsplayedinamplifying herconnections.Thisreciprocalanddynamicnaturetotheconstructionofrelevanceiswellsuited forasituativeperspective.Mariabringsherbiologyknowledgeintothephysicsclassroomtoarrive atanalternativesolutionpath.TheinstructorvalidatesMariaandaskshertoshareherreasoningto therestoftheclass.Thecourseallowsformultiplecorrectanswersandhasthespaceforstudents' voicestobesharedasexpertsintheirhomedisciplines.Inthismoment,Mariaisbringingin theoutsidedisciplinaryknowledgebutitistheclassroomstructuresandvaluesthatamplifyher relevantconnection. Nicoleseesconnectionsbetweenherphysicscourseandhercomputationalmodelingcourse earlyoninthesemester.ThisconnectionissupportedbymultiplemomentsinwhichNicolebrings intheworkfromonecoursetohelpwiththeother.Wedemonstratethroughaseriesofinterviews thatNicole'sbeliefsaroundrelevancehavebeenimpactedbyherclassroomexperiences.Whenwe 81 looktotheclassroomforevidenceofthischange,ecologicalsystemstheoryallowsustoseetherole theclassroomplaysinco-constructingandamplifyingtherelevanceofphysicsforNicole.Nicole andtheclassroom'sdesigntogetherhaveconstructedamomentinwhichphysicsandNicole's disciplinaryknowledgeandexperiencesarerelevanttoeachother. 5.6.2Ecologicalsystemstheoryasamotivationforholisticreforms Oneofthestrategiesemployedbyscholarsattemptingtoimprovetheresultsfromsurveymeasures istoengagestudentsinactivitiestodeveloptheirabilitiesinre˛ectionandmeta-cognition[38, 49].Theseinterventionsareoftenlocalizedtothephysicsclassroomandactivelyrequirestudents toarticulateandre˛ectonconnectionsbetweenphysicsandtheirlives.Thetacitmessageis thatstudentsdonotalreadypossessadequatere˛ectiveabilities.Thisde˝cit-viewofstudents' abilitiesisproblematicbutitbecomesespeciallysowhenconsideringnon-physicsmajors.Thelife sciencestudentspresentedherearehigh-achievingandhavesophisticatedexpertiseintheirmajor disciplines.Theyactivelyandregularlyengageinthoughtfulre˛ectiontoassesshowrelevanttheir courseworkandotherexperiencesaretothem,includingdecidingwhetherphysicsisacoursethat shouldbetakensimply"togetitoutoftheway." Itmaybepossiblethataphysicsclassroomactivityrequiringstudentstoconstructandre˛ect onpotentialconnectionsofphysicstotheirlifecanresultinfurtherdevelopmentofstudents' senseofrelevanceofphysics,whichcanthenbecapturedinpre-to-postshiftsonsurveys.Itmay alsobepossiblethatrepeatedinsistencethatstudentsshouldbelievethatphysicsisconnectedto theirlivesresultsinthemreportingwhattheyhavebeenconditionedtoreport.Withoutcareful qualitativework,itwillbedi˚culttodistinguishbetweenthesepossibilities.Weacknowledgethat apositiveresultonthesesurveymeasuresregardlessofthestrategyisprobablybene˝cialforthe perceptionofphysicseducation.Theaspectthatconcernsusisthatasphysicsreformsproliferate acrossinstitutions,wecontinuetocollectinstructionalstrategiesandactivitiestolayerontopof aphysicsclassroomandlosesightoftheecologyatplay.Studentsenterandexitavarietyof disciplinaryclassroomsandwithoutasystems-levelviewoftheirecosystem,itischallengingto 82 forgemeaningfulconnectionsthatpersistandperpetuatebeyondthephysicsclassroom. Ecologicalsystemstheorymotivatesustomovebeyondattemptstodesignorchoosethebest activitytopromotestudents'beliefsaroundphysics.Insteaditnecessitatesthatweseestudents asexistinginmultipleinteractinglayersofsystems.Inourcourse,wehaveestablishedseveral practicestoensurethatstudents'beliefs,a˙ect,andexperiencesarebroughtintotheinstructional cycle.Weuseaninitialsurveytoassesswhichdisciplinaryareasourstudentsarecomingfrom, whattheyhopetodointhefuture,theirpreviousexperienceswithphysics,andtogaugetheir levelofanxietyorfearastheyenterthecourse.Thisservesasafoundationofknowledgethat willhelpguideinstructionalchoicesbutitmustbenotedthatevenwiththisknowledgewedid notpredicttheconnectionsMariaandNicolewereabletomake.Planninginstructiontoattendto students'ecologiesislessaboutpredictingwhichactivitieswillresonateandmoreaboutdesigning activitieswithspace,depth,and˛exibilitytoamplifywhatstudentsarealreadycapableandwilling todo.Thisprocesspromotesbringingstudentideasintoactivities,allowsinstructorstopositionlife sciencestudentsasexpertsintheirhomedisciplines,andprovidescriticalvalidationanda˙ective support.Movingtowardholisticphysicsreformsthatareresponsivetotheecosystempresentfor theirstudentshasthepossibilitytogeneratelong-lastingandmeaningfulnarrativesoftherelevance ofphysicstostudents'lives. 5.6.3Theimportanceofprovidingspaceforstudentstobringthewholeoftheirdisciplinary selvesin Oneofthecomponentsofthestudentsexperiencesoutlinedinthispaperisthespacetheyare a˙ordedinbringingintheirdisciplinaryexpertise.Wearguethattheparticipatoryactsthesethree studentsengagedinwascriticalintheconstructionofrelevance.Mariarecognizedanalternative solutionpathutilizinghermicrobiologycontentknowledgeandwasa˙ordedtheopportunityto sharehersolutiontotheclass.Nicolebroughtinhersolutionfromhercomputationalmodeling coursetoshowhergroupmatesavisualizationthatshefeltwaseasiertounderstandthanthephysics activity,shewasinvitedtosharethiswiththeentireclassroom.Theseparticipatorystructuresand 83 a˛exiblecontentcoverageschedulewereimportantconsiderationstothedesignofourclassroom. Withoutthisresponsiveanddynamicenvironment,weimagineMariaandNicolemaynothavehad aspositiveofanexperience. 5.7Implications 5.7.1Revisitingourtoolstomeasurerelevance Alargeportionoftheworkonstudents'attitudesandbeliefsinphysicseducationresearchconsists ofreportingonfourcommonlyusedsurveys.Thiscorpusofworkfocusesonevaluatingcurriculum andpedagogyonitsabilitytoshiftstudents'endorsementsofbeliefstatements.Thisworkhas expandedtoincludedi˙eringstudentcompositionsandhasbeenusedtocomparetherelative successofdi˙erentresearch-backedinstructionalstrategies.Resultsfromthesesurveyshavebeen frequentlyreportedtosuggestthatitiscommonandexpectedthatstudentswill˝ndphysicsless relevantafterinstructionthantheydidbefore.Wearguethatthe˝rstissueinthischainofevents isthatthereisnoconsensusforwhatitmeansforphysicstoberelevant.Inthesurveys,phrases suchas"realworld"and"everydaylife"areusedwithoutcontextualizingthemintowhatstudents experience.Wehavepreviouslyarguedthattheconceptofthe"realworld"presentedinthese surveysisofanabstractedsenseofthenaturalworldthatdoesnotincludestudents'disciplinary interests[12].Ifourphysicsstudentsexperiencesarenotappropriatelycapturedwithinthese surveys,thenthemeasurementofrelevanceislimitedandtheinterpretationsofstudents'abilities tomakeconnectionsbecomesproblematic.Westillseethebene˝tofpre-to-postsurveysandwill continuetoemploythemtounderstandthee˙ectsofourclassroomsbutwemustacknowledge thelimitationintheirabilitytocapturerelevance.Mostimportantly,wemustshiftawayfrom describingstudentsinde˝cit-tingedlanguagesothattheroleofinstructionisnottopersuade, demand,orforcestudentstomakeconnectionsbutratherinvitestudentstohavearoleinthe classroomsothatphysicsmayhavearoleintheirlives. 84 5.7.2Expandingthegoalsofdesigningcoursesforrelevance Thereadermaywonderifthesolutiontocreatingmorerelevantphysicsclassroomsistodesign thenextcoin˛ipactivityforthenextNicole,orthenextparameciumactivityforthenextMaria. Muchofthecurriculumdevelopmentinintroductoryphysicsforthelifesciences(IPLS)isfocused oncreatinginterestingandengagingactivitiesforstudentstoauthenticallyapplyphysicstoexplore biologicalphenomena.Webelievethatiscertainlyanimportantfactorinpromotingrelevance; activitiesmustberichandauthenticastonotsimplyprovideaveneerofbiologicalcontextover whatisessentiallyatraditionalphysicsproblem[73].Wealsobelievethatthecurriculumisonly partofthesolution;classroomstructures,norms,androlesplayanequally,ifnot,moreimportant role. ThedatapresentedinthispaperfromtheexperiencesofMariaandNicoleshowtheimportance oftheclassroominbringinginandvaluingtheirdisciplinaryexperiences.Weare˝ndingthat providingspaceforstudentstobringtheirideasintotheclassroomrequiresarelatively˛exible contentcoverageschedule,normsforsharingoutideastothelargerclass,andfacilitationofthe buildingofconsensus.Theseareelementsoftheclassroomthatcanbeintentionallydesigned.As partofourlargerdesign-basedresearchstudy,wearecurrentlyintheprocessofarticulatingdesign conjecturesforaclassroomthatamongotherthings,canamplifyrelevance.Wedonotbelieve itispossibletopredictallofourstudents'disciplinaryinterestsandexperiences,sowerelyon buildingspacetoallowforstudentstosharetheirexpertise.Thisisimportantbothforstudentsand learningassistantswhowereformerstudents.Positioningstudentsasexpertsinthelifesciences andincorporatingtheirexpertiseintothelearningofphysicsallowsforaresponsivecourseandis lessreliantonaperfectlycoordinatedIPLScurriculum. 5.8Acknowledgements WethankthemembersoftheANSERgroupforthoughtfuldiscussionsaroundthiswork.We thankthePERL@MSUgroupfortheirengagementandre˛ectionsduringgroupmeetingswhere thisworkwaspresented.ThisworkwasfundedbytheLymanBriggsCollegeandtheDepartment 85 ofPhysicsandAstronomyatMichiganStateUniversity.WewouldalsoliketothankAngela LittleandBenjaminGellerfortheirencouragementandconstructivefeedbackinpushingthiswork forward.Lastly,andmostimportantly,wewanttothankBeverly,Miles,Maria,andNicolefor participatinginourresearchandallowingustosharetheirexperiences. 86 CHAPTER6 TRULYNOTAFRAIDOFPHYSICSANYMORE:TRANSFORMATIONFROM FEARINGPHYSICSTOAMPLIFYINGITSRELEVANCE 6.1Introduction 6.1.1Thenegativeperceptionofphysics Physics,asadiscipline,hascultivatedaproblematicimagethatscholarshavebeenactivelytrying tomitigate.Commonlypeoplehavedescribedphysicsas(1)evokingfearandanxiety(2) beingirrelevanttostudents'livesorfuturecareerplans[18,and(3)beingdense,abstract, orinscrutable[77,78].Emotionalanda˙ectivestancestowardphysicscananddoa˙ectstudents abilitytolearnandareintertwinedwithstudents'epistemologicalbeliefs[79,80].Inattempts toaddressthesechallenges,alargebodyofworkhasbeendedicatedtodevelopingstrategiesto engagestudents,reducefear,andtransformstudents'beliefsandattitudestowardphysics[4,5,9, 10,19,20,38,51].Weaddtothisliteraturebasebyexploringhowanecologicalsystemsviewof relevancecanexplaintheevolutionoftheroleofphysicsinastudent'slife. 6.1.2Physicsforthelifesciencesasanexemplarcontext Inordertoexploretheseproblematicperceptions,wearguethatintroductoryphysicsforthelife sciences(IPLS)classroomsareidealcontexts.Studentsmajoringinthelifesciencesrepresentoneof thelargestproportionsofstudentsenrollinginintroductoryphysics[11].Additionally,disciplinary areasinthelifesciencesandphysicsareoftenconsideredtohaveepistemologicalvaluesthatare distantfromoneanother[73].Inearlyinterviewsourcasestudentsreportthatbiologyvalues process-levelknowledgeandislessconcernedwithdiscretemechanisticexplanationsthatthey associatewithphysics.Thisepistemologicaldistancecontributestothesensethatphysicshaslittle relevancetothedisciplinaryinterestsoflifesciencestudents.Forpre-healthmajors,theperceived 87 irrelevanceofphysicsiscompoundedbycon˛ictingmessaging;physicseducationscholarsand policyreportsinsistlearningphysicsisrelevanttothestudyofmedicine[1,35,43]whilemedical graduatesandphysiciansdisagree[12,Thediscrepancybetweentheviewsofsurveyed practitionersinthecitedstudiesandthosethathelpcreatepolicyrecommendations[1]mayre˛ect thegapthatexistsbetweenthecurrentperceptionoftherelevanceofphysics is andwhatitideally couldbe. Inthepastfewdecadesofphysicseducationresearch(PER),manyinstructionalstrategies havebeendesignedto(1)positivelya˙ectstudents'beliefsandattitudestowardphysics[8,35, 71]and(2)presentphysicsasrelevanttostudents'disciplinaryinterestsorcareerplans[38,51, 81].Inspiteofthislargebodyofwork,themechanismbywhichtheseclassroomexperiences impactstudentsisstillunder-explored.PER'scurrentmeasuresofsuccessofthesereforme˙orts includepre-to-postshiftsonsurveysthatfailtocapturethewholeofthetransformationinstudents' perceptionsofphysics[4,5,15,19,20].Thispaperaimstoarticulatethetransformationofa student'sperceptiontowardphysicsthroughacasestudyoftheirexperiencesinanIPLSclassroom intentionallydesignedtoattendtostudents'a˙ectaswellasvaluetheirdisciplinaryexperiences. Wepushbeyondevaluatingthesuccessofthecourseasamonolithicexperienceandexplorethe more˝ne-grainedinteractionsthatcontributetoatransformationoftheroleofphysicsinastudent's life. Inpreviousphysicseducationresearcharoundstudents'viewsofphysics,thefocushasbeen aroundframingtheproblemofphysicsbeingperceivedasirrelevantasjustthat:aperception issuethatthestudentshave.Inthosestudies,therecommendationwasforinstructorstoconvince, coerce,orforcestudentsintobelievingthatphysicssimply is relevant.Weidentifythisasa de˝cit-framingofstudents'abilities[15].ThispaperfocusesonMiles(pseudonym)whoisnot accuratelyrepresentedwiththisde˝cit-framing.Milesactivelylookstomakeconnections,and ifheultimatelydoesnotbelievephysicstoberelevant,itisnotbecausehehasoverlookedor underestimatedphysics. 88 6.1.3IntroducingMiles WeorganizeourexplorationofMiles'sexperiencesintothreeacts.ActIfollowsMilesashe experienceshis˝rstphysicscourse.Intheseexperiencesweseefearandanxietyinteractingwith theutilityandsensemakingtoolsphysicsprovides.ForMiles,physicsisbothfrustratingand functionalingaininginsightsintophysicalprocesses.ActIIdescribestheroleofMiles'sphysics classroomexperiencesasastudentandasalearningassistantinmakingrelevantconnectionsto physics.ActIIIfocusesonMilesasanagentofchangeasheembracesthevalueofhisroleasa learningassistantandbecomesanampli˝eroftherelevanceofphysicstostudentsinthecourse. Throughouttheseactswewillshowhowviewingrelevanceasasetofconnectionsbetween physicsandMiles'slifeallowsustotrackthetransformationoftheroleofphysicsfromfearto empowerment.Milesentershis˝rst-everphysicscoursewithanxietyandlackofcon˝denceinhis abilitytodophysics.Afterheleavesthecourse,hedescribesadrastictransformation. miles: It'squitehonestly,veryremarkablehowcleareverythinghasbecome.I'mtrulynot afraidofphysicsanymore.Iwasveryscaredofphysics,becauseitwasjustawayof thinkingIneverhadtodo.Itwassomethingthatjustdidn'tcomeeasilytome... Int4,Nov.2017 ] InthispaperwewillshowhowanalyzingMilesfromaecologicalsystemsperspectiveof relevancehelpsustoseehowthischangeoccurred,tracingthegrowthandevolutionofconnections betweenphysicsandsettingsinhislife. 6.2Methodology Theworkpresentedinthispaperbuildsalongitudinalcasestudyofastudentashelearns physicsforthe˝rsttimeinanIPLScoursethatistaughtinastudioformat.Thecourseutilizes discursivestructuressuchaswhiteboardsandarrivingataclassroomconsensusthroughstudent argumentation[39].SincethetermsIPLSandstudioformatcanhavemanyimplementations,itis 89 instructivetooutlinethefeaturesofthestudycontextthatwebelievearecriticalinunderstanding thiswork. 6.2.1Coursecontext Thecourseinthisstudyisatwo-semesterintroductoryphysicssequencenamedBriggsLifeScience Studio(BLiSS)Physics.ThiscourseistaughtinLymanBriggsCollege,aresidentialcollege withinMichiganStateUniversity(MSU)thatisfocusedonscienceandthehistory,philosophy, andsociologyofscience.Thevastmajorityofstudentsinthecoursearelifesciencemajors,and manyofthemarepre-healthmajorswithplanstoattendmedicalschool.BLiSSPhysicsisoneof multipleimplementationsofintroductoryphysicsthatstudentscanenrollinMSU.Thecreationof BLiSSrepresentedcontinuingreformsinmakingphysicsatLymanBriggsmorerelevanttothelife sciencemajors. 6.2.1.1Explicitfocusona˙ect ThedesignofBLiSSPhysicsincorporatesexplicitsupportofstudents'a˙ectthroughconversations withstudentsthatlearningphysicscanbechallengingandstressfulattimes.Thelearningobjectives inBLiSSPhysicsincludehelpingstudentsleavethecoursewithlessfearandanxietytowards physics,aswellasincreasedsenseofcompetenceindoingphysics.Atthestartofthecourse, studentsareaskedto˝lloutaninitialsurveytounderstandtheirdisciplinaryinterests,futurecareer plans,previousexperienceswithphysics,andtoprobetheirself-reportedanxietyandlevelof preparednessforthecourse. 6.2.1.2Mixedinstructionalteam TherearethreesectionsofBLiSSPhysicstaughtinasemesterbyadiverseinstructionalteam consistingofundergraduatelearningassistants(whohavepreviouslysucceededinthecourse), physicsgraduatestudents,andtwofacultymembers.Inanygivensectionofthecourse,thereare threemembersoftheinstructionalteampresentforamaximumof48students.Studentsareinvited 90 tojointheinstructionalteambybecomingundergraduatelearningassistantsiftheyhavesucceeded inthecourse,havedemonstratedastrongabilitytocommunicate,andgenerallypromoteapositive stancetowardsthestrugglesoflearningphysics. 6.2.1.3Authenticbiologicalcontext EveryIPLScurriculumfocusesonbiologicalcontextsinwhichphysicsmaybeusedbutthe implementationofthesephysicsconceptsappliedtobiologycanvarywildlyintheirauthenticityto howbiologistswork[73].ThecurriculumofBLiSSPhysicsconsistsofamixtureofIPLSmaterials thathavebeenpreviouslypublishedaswellasnewmaterialscreatedforthiscourse[9,31,35,51]. 6.2.1.4Studentsasdisciplinaryexperts OneofthestatedconcernsinimplementingIPLScurriculaisthephysicsinstructor'sknowledge ofthelifesciencesandwhetheritissu˚cienttoauthenticallyincorporatephysicsintobiological contexts.Toalleviatesomeoftheseissues,weconsultedwithabiophysicistatMSUwhohelped articulatelimitsofphysicsmodelsaswellasintroduceustonewbiologicalphenomenathat canbemodeledwiththetoolkitofintroductoryphysics.Theresourcewerelyonthemost duringinstruction,however,isthestudents'disciplinaryexperiences.Thiscoursetakesplaceina residentialcollegethatfocusesonscience(LymanBriggsCollege)withinMichiganStateUniversity. Wecanexpectourstudentstoenterthephysicsclassroomwiththeknowledgeandexpertiseofpast experienceswithbiologyandchemistry.Webuildstructuresintheclassroomtosupportstudentsin bringingtheirdisciplinaryknowledgeintoactivitiestoarriveatricherexplanations.Thecurricular activities,therefore,mustbe˛exibleandrelativelyunconstrainedtoallowforstudentstoinfuse theirideasintothesolution. 6.2.1.5Modelingbiologicalcomplexitythroughcomputation Asigni˝cantobjectiveofthecourseistodemonstratetostudentsthatmodernscienceutilizesthe powerofcomputingtoanswercomplexquestions.Manystudentsenterourclassroomneverhaving 91 writteninanyprogramminglanguage.Asawaytofamiliarizestudentswithusingcomputation asatool,weincorporateactivitiesthataskstudentstoconstructvisualsimulationsusingvPython throughanonlinedevelopmentenvironment[82].Studentsareneveraskedtowritecodefrom scratchbutratherareprovidedminimallyworkingprogramsStudentsareaskedtomodify orupdatethefewlinesoftheprograminorderforthesimulationtomodelaccuratephysics. 6.2.2Datacollection Thedatapresentedinthispaperwaspartofalargerdesign-basedresearche˙orttostudythe e˙ectivenessofthetransformedBLiSSPhysicsclassroominpromoting(1)studentattitudesand beliefsaroundtherelevanceofphysicsand(2)studentself-e˚cacyandmindsettowardslearning physics.ThecasestudyofMiles(pseudonym)representsoneof40casestudentsthatwere interviewedacrosstwoyearsofthiscourse.24ofthesecasestudentswerefollowedandinterviewed atmultipletimes.AuthorNairwasembeddedinthecourseasaresearcherandinstructor,and helpeddevelopcurricularmaterials.Hewaspresentnearlyeverydayofinstruction,managingdata collectionandrecording˝eldnotes.AuthorSawtellewastheleaddeveloperofthecurriculum materialsforthisclass,andwasafacultyinstructorfor6sectionsofthecourseinwhich29cases wereembedded. Thedatainthispaperincludesmultipledatastreamsincludinganinitialcoursequestionnaire whichisaimedatassessingstudentsperceptionsof,andpreviousexperienceswith,physicsas theyentertheclassroom(seeSupplementalMaterialsforthecompletesurvey).Therewerethree semi-structuredinterviewsconductedthroughouttheyear:nearthestartoftheFallsemester,near theendoftheFallsemester,andhalfwaythroughtheSpringsemester.Afterhistimeasastudent, Milesjoinedtheinstructionalteamasanundergraduatelearningassistantandwasintervieweda fourthtimeinthemiddleofhis˝rstsemesterteachingphysics. 92 6.2.3Analysismethods Thiscasestudyutilizedseveralanalysismethodstounpackmeaningfromthevariousdatastreams. Initialshort-responsecoursequestionnaireswerecategorizedbasedonstudentresponsesaround (1)anxietyorfeartowardsphysics,(2)theirdisciplinaryidentities,and(3)theirattitudesand beliefstowardphysicsbeingrelevant.Fieldnoteswerewrittentodocumenttheemergingthemes andinteractionsintheclassroomforthepurposeofgivingcontextandlifetotheinterviewdata. Eachinterviewwasvideoandaudiorecorded,transcribed,andcodedinmultipleiterations. Initiallycodeswerecreatedtocapturethedi˙erentnotionsofrelevancerepresentedinthePER measuresofstudentviewsofphysics(physicsbeingrelevantforfuturecareers,understanding therealworld,everydaylife,orpersonalinterest),aswellasnotionsthatwerenotasfrequently measured(physicsbeingrelevanttostudents'disciplinaryexperiencesoutsideofphysics)[12,29, 33].Asthestudyprogressed,thefocusofthecodingexpandedtoincludenarrativecodesthat capturedhowMilespositionedtheroleofphysicsinhislife.WhenMilesbecamealearning assistantinthecourse,thein-class˝eldnotesalsowereexpandedtoincludemomentswhenMiles re˛ectedontheroleofphysicstootherstudents.Analyticmemoswereproducedthroughoutthis studytohighlightsigni˝cantmomentsin-classaswellasintheinterviews[29,33]. Theclaimspresentedinthispaperweredevelopedanditeratedoverthecourseofmultiple years.Claimswererevisedandvalidatedthroughdiscussionsandpresentationsatseveralresearch groupmeetings.TranscriptionandcodingwascompletedusingsoftwareincludingInqScribe[87] andMAXQDA[32].Thiscasestudyexistsalongsideanalysisofmanystudentexperiencesinour course;whilethestoryofMilespresentedinthispaperisitsownentity,theanalysismethodsused weresharedacrossandshapedbythelargersetofstudentexperiences. 93 6.2.4TheoreticalFramework 6.2.4.1Relevance Thenotionofrelevancepresentedinthispaperisbuiltandadaptedfrompasttheoreticalworkon relevanceandpaste˙ortstocreateanorganizationalstructureofattitudesandbeliefs[21]. Wearespeci˝callyinterestedinexploringtherelevanceofphysics,sowestartfromandbuild upontheareasofstudents'livesthathavebeenthefocusofmultiplecommonlyusedmeasuresof students'viewsofphysics[4,5,19,20].Weorganizeastudent'ssenseoftherelevanceofphysics asasetofattitudestowardsphysics,eachattitudebeingcomposedofasetofbeliefstowardphysics. Tovisualizetheroleofphysicsinastudent'slife,wemaptheconnectionsbetweenphysicsand di˙erentsettingsinwhichthestudentparticipates. 6.2.4.2EcologicalSystemsTheory Ecologicalsystemstheorywasinitiallydevelopedtodescribehumandevelopment[22],wehave adoptedittocharacterizestudents'livesasmultipleinteractingsystems[15].Previousworkhas limitedtheexplorationofstudents'viewsoftherelevanceofphysicstoinsidetheclassroom, suggestingnewcurriculumorpedagogicalstrategiestoin˛uencestudents'views[38,48,59].We insteadreversethisapproachby˝rstexploringtheinteractingsystemsthatconstitutestudents' lives,˝ndwaystoincorporatethosesystemsintotheclassroom,and˝nallyinformthedesignof curriculaandpedagogytoallowstudentstobringthoseexperiencesintotheclassroom.Weuse ecologicalsystemstheorytomapsettingsinastudent'slifethatcanimpacttherelevanceofphysics andcharacterizethenatureofthatconnection. Instudyingtherelevanceofphysics,wenarrowourfocustothetwoinnermostsystems,the microsystemandthemesosystem.Whileallsystemsrepresentedinecologicalsystemstheoryare important,weidentifythesetwosystemsasthemostaccessibleinourstudydesignandrepresent thesystemsthatcanbemosteasilyimpactedbyexperiencesintheclassroom.Themicrosystem iscomposedofthesettings,roles,andrelationshipsthestudentengagesindirectly.Theelements 94 withinthemicrosystemmayinclude,forexample,astudent'scourses,peernetwork,researchlab, andtherolesandrelationshipswithinthosesettings.Themesosystemconsistsoftheconnections betweensettingsinthemicrosystem.Wecanforexampleimaginethatastudent'scoursework, peernetwork,orresearchlabmayimpacttheirviewstowardphysics.Themesosystemwillbethe focusofthispaperaswemapouttheevolvingconnectionsbetweenphysicsanddi˙erentsettings inMile'slife. 6.3Act1:Fearfulreverenceofphysics Whenwe˝rstmeetMiles,heentersourphysicscourseinhisjunioryearasabiochemistry majorwithminorsinItalianandbioethics.Heworksinabiochemistryresearchlabandplans onattendingamedicalschoolandbecomeaphysicianthatworkswithchildren.Milesdescribes biologyashisfavoritescienti˝cdiscipline.Heisa˝rstgenerationcollegestudentandhasnever takenphysicsbefore.ConcurrentlywiththeBLiSSPhysicscourse,Milesisenrolledinanadvanced biochemistrycourseandanorganicchemistrylaboratory.Whatcaughtourattentionearlyonis Miles'strepidationandfeartowardsphysics;hefrequentlydescribedhisidentityasabiochemist andpositionedphysicsoutsideofthatidentityassomethingwithwhichhehadlittleexperience. InhisinitialcoursequestionnaireMilesindicatedona˝ve-pointscale(VeryPreparedtoVery Unprepared)thathewasveryunpreparedforthecourseandinafreeresponsequestionaskinghim todescribehisexpectations,hewrote: miles: IamverynervousbecauseIhaveZERO[emphasisinoriginalresponse]physics knowledgewhatsoever.Manyofmypeershavetakenphysicsinhighschool. CourseQuestionnaire,Aug.2016 ] Miles'sanxietytowardphysicsisbroughtupagainwhenweinterviewhiminthe˝rstweeks oftheFallsemester.Shortlyafterlistingthecourseshe'stakinginthesemester,hedescribeshis hesitationintakingthiscourse. miles: I'mmostnervousaboutphysicstobecompletelyhonest,I'venevertakenphysics 95 before...andit'sjustaverydi˙erentwayofthinkingaboutthings...It'sinteresting tosee,youhearhorrorstoriesaboutphysics...[myadvisor]talkedmeintotaking [BLiSS]physicsbecauseitwaschanging...soIsaid"OK,I'llgiveitatry."ButI'm stillnervous... Int1,Sep.2016 ] TheanxietyMilesdescribesisnotsolelythatofanachievement-orientedstudentworried aboutsucceedinginanunfamiliarcourse.Hisstancetowardsphysicsisinformedbythenegative experienceshe'switnessedinothers.Heexplainsthereputationofthiscoursebeingdi˚cult;which promptedstudentstotakelargelecture-formatphysicscoursesinwhichthe˝nalgradewouldbe morepredictable. 1 MilesisawareofthenegativereputationoftheBLiSSphysicscourse,andduringhistimeasan instructorforanMCATreviewprogramhewitnessedpeersstrugglingwithphysicsasanobstacle ontheMCAT. miles: IactuallytaughtanMCATreviewprogramatthebeginningoflastsummer...I taughtafewchaptersofbiology,andonechapterofchemistry,andthenjustlikeinthe MCATtheyaddedanewcriticalthinkingsection,stu˙likethat...physicswaslikethe bigonethattheyhadtoreschedulecertaindaysaroundbecausethepeopletakingthe classdidn'tfeeltheyhadenoughtimetogooverthephysicspart,andthatwaskind oflikethe˝rsttimeIsawphysicslikerightupclose,'causeIdidn'tknow,andthese tutorswerepullingtheirhairout.Thesekidsjustlookedterribleafterthephysicsparts andtheymissedlunchafewdays,justtodophysics,anditwaskindofweirdbutI meanyougottadoit,it'sontheMCAT,andthat'sgoingtobeahugefactorformed school...hopefullytheydid˝neIdon'tknow,Ididn'thavetotutorphysics[ laughs ] Int1,Sep.2016 ] 1 StudentsatMSUhavemanyintroductoryphysicscoursestochoosefromandoftenmakea strategicdecisiononwhichtheywillbemostsuccessfulin. 96 Inlightoftheseexperiences,theperceptionissuethatphysicshascultivatedisvividlydemon- stratedforMiles;physicsstandsapartfromtheotherdisciplines.Hedescribesthenegative experiencesofthoselearningphysicsandisgladhedidnothavetoteachphysics.Onestrikingfea- tureofthisnarrativeisthateventhoughMilesisanxiousaboutphysicshestillseestheimportance ofphysics.ItisnotthatMilesperceivedphysicstobevaluabletoacareerinmedicinebutthatitis required,andthereforeitisahurdlethatmustbeovercomeinordertodowellontheMCAT.This stancetowardsphysicsasanobstacletoovercomealignswithmanyreportsdescribingpre-health studentsasbeinggrade-achievementoriented[43,WecharacterizeMiles'sattitudesand beliefstowardphysicsasfearfulreverence;physicsisimportantforhissuccess,andyetitisin- timidatingandscary.Asweproceedinthe˝rstinterview,weseethatthisfearfulreverenceisnot limitedtotheroleofphysicsasarequiredobstacle.ForMiles,physicsisalsoimportantbecauseof itsroleintheotherdisciplinaryareashestudies;physicsisbeingbroughtupinbiochemistryand hebelievesphysicsexplainseverything. interviewer: Doyouseelikephysicspoppingupinyourotherclasses? miles: ...it'sinterestingbecausetheonlyclassI'veseenitsofarisbiochem...wewerejust talkingabout...waterandhowlikelifetodayformed...[biochemistryprofessor]was justkindoftalkingtousabouttheconceptofhowit'sphysics-howthewater,thatit's unfavorablehowwaterisbeingpushedoutastheenzymeandsubstratecometogether, andIjustthoughtthatwassointeresting...I'msurethat'sgoingtohelpmeinseeing physicsinotherclassestoo. Int1,Sep.2016 ] Milesisseeingphysicsbeingreferredtobyhisprofessorinhismajordisciplineandisopen toseeingmoreoftheseconnections.LaterinthesameinterviewMilesexpresseshisbeliefthat physicsisfundamentalbyrepeatedlysaying"ithastobe"physics.AtthispointMileshasnot hadtheexperiencewithphysicsforhimtoarticulateconnectionsbeyondhisbeliefthatitmustbe physics, 97 interviewer: Doyouseebiology,chemistry,andphysicsasbeingrelated? miles: Ineverreallydid,nowImean,theyhavetobe...likeIsaidIneverreallytookphysics soIdidn'tknow.AndImean,ithastobephysics.Likeallofthathastobe,everykind ofmovementor,we'veonlydonemovementsofar...Ithastobe,Ithinkphysicsisa drivingforcebehindeverything,ithastobe.AtleastIthinkso... Int1,Sep.2016 ] WeaskifMilesseesconceptsfromthe˝rstfewweeksofphysicsashavingconnectionsto hisothercourses.Heresponds "um...kinematics,Idon'tthinkIcanseeitnow." ForMiles,we arguephysicsisill-de˝nedandobscure.Evenwiththislackofclarity,heunderstandsphysicsis importantfortworeasons:(1)itisrequiredforhissuccessontheMCATandincompletinghis undergraduatedegree,and(2)thedrivingforceunderlyingeverything"hastobe"physics. 6.3.1Miles'sinitialmesosystem WehavethusfardescribedMiles'sstartingsetofattitudesandbeliefstowardphysicsashebegins ourcourse.Inthesubsequentsectionsofthispaper,wewillseetheroleofphysicsinMiles'slife shiftashecompletesayearofphysicsasastudentandmovesintoaroleasalearningassistant. WewillconstructdiagramsofMiles'smesosystem(i.e.,theconnectionsbetweenphysicsandother settingsinMiles'slife)totrackthechangingnumberandqualityofconnectionsthataccompanya shiftingroleofphysics(Fig.6.1). Figure1displaysMiles'smesosystemintheFallsemesterduringtheseinitialinterviews.Miles isenrolledinOrganicChemistryLabandAdvancedBiochemistryconcurrentlywithphysics. BiochemistryandChemistryhavemultipleconnectionstodi˙erentsettingsinMiles'slife.He tutorsthetopicsfromthesecoursesinanMCATreviewprogram,andheworksinabiochemistry researchlabthatutilizesdisciplinaryknowledgefrombothchemistryandbiochemistry.Physics standsapartinMiles'smesosystemashavingnopositiveconnectionstohisinterestsorpeergroups. Itisalsotheonlydisciplinarycoursethatisill-de˝ned;Milesdoesnothavepreviousexperiences learningphysicstoknowwhatitconsistsofletalonearticulatethewaysinwhichphysicsconnects 98 Figure6.1:ArepresentationofconnectionswithinMiles'smesosystemashestartshis˝rst semesterofphysics.Thesettingsrepresentedincludethecourseshe'senrolledinaswellashis extracurricularactivities.AdvancedBiochemistryandOrganicChemistryLabaretwocoursesthat arewellconnectedtoothersettings;Milesworksasatutorinthesetopicsaswellasconducting researchthatutilizesbothdisciplinaryareas.Incontrast,physicsexistsasalargelymysterious entity(representedwithadottedoutline)withwhichMileshaslittleexperienceotherthanknowing thatphysicsisimportantandthatithasareputationforbeingdi˚cultandstressful. toothersettingsinhislife.MilesunderstandsthatphysicsisimportantforhissuccessontheMCAT andthatitplaysanimportantroleamongsttheotherscienti˝cdisciplines.Healsohasseveral experiencestosuggestthatlearningphysicsisastressfulandchallengingexperience.Physics,so far,isnotintegratedintoMiles'slifeanditsrelevanceislimitedtothefactthatitisanobstacle toovercome.InthenextsectionwewillseehowthisroleofphysicsevolvesforMilesashe progressesthroughtherestofthecourse.WewillrevisitMiles'smesosystemineachacttoexplain howphysicsbecomesmorerelevanttoMilesthroughtheproliferationandincreasingqualityof physicsconnectionsinhismesosystem. 99 6.4ActII:Physicsasfrustrating&asensemakingtool Inthissectionwelookatin-classdataofMilesaswellastwofollow-upinterviews,Wefollow MilesashecompletesaunitnearthemiddleoftheFallsemesterthatincorporatescomputational simulationstoexplaintheprocessofdi˙usionastheresultofcollisionsonalargescale.We interviewMilesshortlyafterthedi˙usionunitandagainnearthemiddleoftheSpringsemester. Thecomputationalsequenceondi˙usionissplitupintotwoclassperiods.The˝rstclassperiod isfocusedonmanipulatingandcombiningequationsfromconservationofenergyandmomentum toarriveatone˝nalexpressionforthechangeinmomentumofaparticleexperiencinganelastic collision[91].Inthesecondclassperiod,studentsarepresentedwithaminimallyworkingprogram [83,85,86]thatcontainsthestructureandsyntaxofasimulationoftwoparticlescollidingbut withoutanexpressionforhowthemomentumwouldtransferbetweentheparticles.Theyare taskedwithwritingafewlinesofcodethatrepresentsthecorrectphysicsusingtheirexpression forthechangeinmomentumderivedinthepreviousclassperiod.Thereareintotal3simulations studentsareaskedtocompletethatscaleupincomplexityfromvisualizing2spherescollidingin 1-dimension,to2spherescollidingina3-dimensionalbox,and˝nallytomanyspherescolliding ina3-dimensionalbox. 6.4.1Familiarfrustrationswithphysics Inhis˝rstinterview,Milesrecountsseveralnegativeexperienceshe'switnessedwhileothershave triedtolearnphysicsandshareshisownanxietyabouthisownabilitytodophysics.Inthe˝rstday ofthiscomputationalsequence,wewitnessMilesexperiencethisfamiliarsenseforwhatphysicsis: afrustratingandchallengingdiscipline.Duringthestartofthe˝rstdayoftheactivity,Milescanbe seeninthein-classvideowithhisheadonhishandseeminglydisengaged.Hehadjustexplained tohisgroup-matesthathewasnotabletorelaxduringtheweekendandheexpressesfrustration throughouttheactivityashestrugglestogetexpressionsthatagreewithhisgroup-mates(Kathryn andAmy).Miles,attimes,worksaloneintenselytotryto˝ndwherehisderivationdi˙ersfrom 100 thegroup'sandtherestoftheclass.Throughoutthisentireunit,Kathrynisquietandrarelyspeaks butfollowsalongwithhergroup'swork.Amytakestheleadinthegroupandendsupleadingthe programming.Duringthe˝rstday,apatternemergesinwhichMileswilldisplayfrustrationand Amywillhelpandreassurehim. Inthenextmoment,Milesisscrutinizinghowtosimplifyhisexpression,andjokinglydisparages himselfwhenhedoesnotnoticeitrightaway. miles: Oh,arethese[terms]goingtocancel?Ohthesewillcancel,wowI'manidiot. amy: Miles,it'sokay. miles: [ laughs ]It'ssoserious. amy: Lifewillgoon. Day1,ComputationalSequence,Oct.2016 ] Later,whenMilesasksanLAforclari˝cation,theexplanationfromtheLAoccupiesapproxi- mately5minutesofthegroup'sattention.AftertheLAleaves,Milesapologizesforhavingasked thequestion. miles: I'msorryguys,[ group-mates laugh ]Iamaweaklingofthisgroup.Youcaneat[sic] meo˙theisland˝rst,I'veacceptedit...[ laughs ]Ihavenocontributiontothisgroup, IknowI'materriblegroupmember,I'mjusttryingtounderstand. Day1,ComputationalSequence,Oct.2016 ] Throughoutthe˝rstday,momentsofMilesdisplayingfrustrationiscommon.Though,theday isnotwithoutmomentsofcelebration.WhenMilesdiscoversheisunderstandingorcanexplaina process,hishappinessemotesveryclearlyinthevideo. miles: Ohthisonebouncesbackintheotherdirection,thisonejustkeepsgoing.Okay makessense.Itliterallyslowsdownbylikepoint...[ startssmilingandnodding ]Finally gettingsomethingguys.[ giveshimselfaroundofapplause ]goMiles. Day1,ComputationalSequence,Oct.2016 ] 101 BeingabletovisualizeaprocessisimportanttoMiles;hefrequentlyhasstatedininterviews thatifhecanvisualizeaprocessthenheknowsheunderstandsit.Inthelastportionofclass, Milescanbeseenworkingintenselywithhisnotebookandcalculatortryingtoreasonthroughhis equations.ThegrouphasalreadyproducedawhiteboardwiththeirsolutionsbutMilescontinues toworkwhileAmyandKathrynarewaitingfortheclasstoreconveneforawholeclassdiscussion. WhenAmychecksinwithMiles,heexplainsthatheisnowplugginginnumberstounderstandthe expressions. miles: ...plugginginnumbersnow,'causeI'mlike,Ican'tseeitinmyhead,it'sbothering me. Day1,ComputationalSequence,Oct.2016 ] Afterthewhole-classdiscussionclassisadjournedandstudentsarepackinguptoleave.Amy isworkingwithMilestohelpexplainwherehisexpressionsweredi˙erentfromthosepresentedin class.Miles'sexpresseshisfrustrationthroughhumor. miles: I'mabouttocrymyself[ shakespaper ]I'mabouttothrowatempertantrum[ laughs ] amy: Miles,it'sokay... miles: IjusthatewhenIcan'tdosomething.Ifeellikethisyearhasbeenconsistentlyme notknowinghowtodoshit.[ mimicsviolentlypoundinghis˝stsonthedesk ]I'moutraged [ laughs ]I'mgoingtothrowatempertantrum[ laughs ] Day1,ComputationalSequence,Oct.2016 ] WhileMilesisclearlyusinghumorinthevideo,itisclearfromhisactionsandhisinterviews thathegenuinelycaresaboutunderstandingtheconcepts.Wearguethattherearetwomain contributingfactorstohisfrustrations. First,thisinitialtaskofmanipulatingexpressionshasbeenchallengingforbothstudentsand LAsinourexperience.InLAprepmeetingsandindiscussionswithstudents,itbecameclearthat thestepsinarrivingatthe˝nalexpressioncanseemtosomeasunmotivatedandarbitraryuntil 102 theyworkonprogrammingthesimulation.Untiltheyseethepurposeofthisexpressionindriving thephysicsoftheirsimulation,itcanbeperceivedasapurelymathematicalexercise. Second,whenMilescanbeseenintenselyworkingonarrivingatthecorrectexpression,Miles alludestohisgroup-matesthatheneedstobeabletoseeit.ThissuggeststhatpartofMiles's frustrationstemsfromthisactivitynothavingavisualrepresentationthathecanusetobetter understandtheprocess.Wewillseethisabilitytoseeprocessesendsupplayinganimportant roleintheseconddayofthissequencewhenstudentsbuildtheirvisualsimulationsofparticle collisions. 6.4.2PhysicscanserveMiles'sneedtovisualize Theseconddayofthedi˙usionactivityiscenteredaroundstudentsinsertingtheexpressionthey derivedinthepreviousclassperiodintotheminimallyworkingprogramtovisualizetwoparticles collidingelastically. AmyistakingtheleadinenteringthecodeintothelaptopwhileKathrynandMilesfollow along.Whenthegroupsuccessfully˝nishesthe˝rstportionoftheactivity(twospherescollidingin onedimension)MilesandAmyverifytheexpectedbehaviorbycheckingtheirintuitiononseveral scenarios,andtryingthemoutinthesimulation.Whatoccurswhenonesphereislessmassive thantheother?Whatwouldhappenifthelessmassivesphereisfasterorslowerthantheother? Aftertheyverifytheirintuition,weseeMilesappreciatingthepurposeofthisactivityandhaving apositiveexperience. amy: Okay,that'sfun. miles: Thatwascool,Ilikethisnow.Ifeelbadfortalkingshit. amy: Ilikecodingwhenitworks. miles: ImeanIdon'treallyliketocodebutIliketoseethisstu˙,sothat'scool. Day2,ComputationalSequence,Oct.2016 ] 103 AfterMiles'sgroupcompleteseachstageofthevisualizationweseeMilesexpresshisappre- ciationandexcitement.Asthegroupcontinuestoworkthroughtheactivity,theydiscusswith anLAthattheyhavemanagedtokeeptheparticlesconstrainedintwoofthethreedimensions. Mileswondersaloudwhatwouldhappeniftheyallowedtheparticlestohaveinitialvelocityin thez-direction(outofthecomputerscreen).Anundergraduatelearningassistantoverhearshis commentandencouragesthemtotryit. miles: Sowe'redoingtwoseparatelinesthatjustspeci˝callyde˝netheY...sothenwe're goingtoseewhathappens.[ Amy startstherevisedsimulation ] miles: Ok,wait...[ largegasp ],wait!Wegotthemtostay. la: Looksgoodtome. amy: Dowehavetodothex-direction,orthez-direction?... miles: [ toLA ]Isn'tthissocool?Italkedmadshitaboutthisshitallthetimebutwhenit works,Ilive!Ifeelsohappy.[ laughs ] amy: [ laughs ]Hegetssuperexcited. miles: Ifeelsohappy. la: Sothez-directionwouldbeiftheycameoutofthebox[motioningoutofthelaptop screen]Ithinkyoude˝neditwithzeroz-momentuminitially,right?Soifyoulookin thecode,youseeithasitspositionintheziszero,it'svelocityintheziszero.Soit shouldn'treallymoveinthez,unlessyougiveitaz-velocity. miles: Iwonderifitwouldbecoolifwedidthat...wedon'thaveto,wehave... la: Iwonderwhatitwouldlooklikebecauseifit˛iesout,it'dbeinterestingright? miles: [ eyeswideopen,pointingattheLAnoddingandsmilinginagreement ]Shouldwetryit? la: Justseewhathappens[ smiles ]I'mkindofcurious. miles: You'reright,Iamtoo,Ifeelthesameway. la: Itmightnoteveractuallycollide- miles: -we'lljustcheckitout,checkitout.[ Amy changeslinesofcodeandrunsthesimulationagain, whileallgroupmemberslookon ] 104 miles: Oh![ grabschestinshock ] amy: Interesting[ laughs ] off-camerastudent: Whatdidtheydo? miles: Itliterallyjust...itattacksyou![ Amy turnslaptoptoshowotherstudentsattable ] off-camerastudent: Itattacksyou? miles: Itrunsafteryou.Lookit[ pointsatthesimulation,entiregrouplaughs ] miles: [ tofacultyinstructor ]Wegaveitaz[velocity]insteadofzero[ laughs ] Day2,ComputationalSequence,Oct.2016 ] Whenthegrouptrieshissuggestion,thecodeshowsasurprisingresultanditisfollowedby acascadeofeventsmarkedbylaughterandexcitement.Thismomentmarksatransformationin Miles'sviewonthevalueofthisactivity. miles: [ smilingwidelyrockingbackandforthinhisseat ]That'ssocool!...thatissocool. amy: We're˝guringstu˙outguys,howexcitingisthat? miles: Thisisactuallyproactive[sic]Iliterallydon'tmeantotalkshit,I'msogladIdidn't talkthatmuchshitaboutitthistime...We'redoingverywell,we'redoingverywell, I'msohappyaboutit. Day2,ComputationalSequence,Oct.2016 ] MultipletimesthroughouttheseconddayofthissequenceweseeMilesremarkthathewishes hewasn'tsonegativeaboutthisactivity(e.g."Italkedmadshitaboutthis").The˝rstdaywas markedwithfrustrationanditisquitepossiblethatheexpectedtheseconddaytobethesame. InlaterinterviewsMileswouldjokethatheinitiallywas"allergic"tothecodingactivitiesinthe physicsclass,andeventhoughMilesmaynotenjoytheactofwritingcodetheseconddayshows Milesappreciatingtheactivityanditsabilitytovisualizedi˙usion.Inadditiontothephysicsclass providingvisualrepresentationsthatMilesvalues,italsoisaspaceinwhichhecanbringinhis outsideknowledge.Next,wewillseeMilesbringinoutsideknowledgedirectlyfromhismemory, surprisinghisgroup-mates. 105 6.4.3Physicsasaspacetobringinoutsideknowledge Asstudentsscaletheirvisualsimulationofdi˙usionfrom2particlestomanyparticles,thethird activityasksthemtousetheirsimulationtomodelcollisionsinlivingsystemsbetweenwaterand proteins.Theyareaskedto˝ndandusebiologicallyappropriatevaluesoftherelativenumbers, masses,andradiiofwatermoleculesandtypicalproteins. amy: What'sthemassofatypicalprotein?[Mileseyesstareintospace,seeminglytrans˝xed inthoughtsearchinghismemory] miles: 137...110,110isthemassofoneresidueofanaminoacidinprotein,sodepending ontheaminoacid,dependingontheproteinthat'swhatitwouldbe.[Miles&Amy smileateachother] miles: Soifyouhaveaproteinof...youjustmultiplyitby110,thatisthestandardweight ofoneresidue,sooneaminoacid,inoneprotein.[grouplaughs] Day2,ComputationalSequence,Oct.2016 ] Milesinthismomentrecitesknowledgefromhisbiochemistrybackgroundthatisrelevantto theactivityfrommemory.Thelaughteramongthegroupmemberssuggeststhattheydidnot expectthislevelofdetailinhisexplanation.Thismomentisinstarkcontrasttothe˝rstday ofthiscomputationalsequencewhereMileswasexpressingfrustrationathisperceivedlackof understanding.Inthisinstance,Milesgetstheopportunitytobeasourceofknowledgeinhis physicsclass.Theeventsduringthecomputationalsequenceondi˙usionareexemplaryofthe mixedstatethatphysicsoccupiesinMiles'slife.Itisbothasourceoffrustrationandaspacein whichhecanmakeconnectionswithoutsideknowledge. ForMiles,wearguethatthecurriculumaloneisnotwhatcausesMilestobecomeengaged;that istosay,physicsconceptspresentedinastudioIPLSsettingarenotautomaticallymoreaccessible. Instead,wearguethatthecriticalelementinpromotinghisengagementishisrealizationthat physicscanbeusedtovisualizewhatheiscuriousabout,andisaspaceinwhichhecanbringin andsharehisbiochemistryexpertise.ThereadermayquestionifMiles'spositivestancetoward 106 Day2issimplytheresultofexperiencingamoreinteractiveandvisuallystimulatingactivityand notindicativeofphysicsprovidinghimwithadeepermoremeaningfulunderstanding.Next,we willdescribehowthisactivityservedMiles'sdesiretounderstandphenomenaatadeepleveland thathisexperiencesinthiscoursehavestartedtoshifthisrelationshipwithphysics. 6.4.4PhysicsservesMiles'svaluesfordeepunderstanding Afterthein-classmomentsdescribedabove,wesitdownwithMilesforasecondinterviewwhere hedescribesthecomputationalsequenceashelpinghimseedi˙usioninanewway.Oneofthe learninggoalsofthisdi˙usionunitisthatstudentsshiftawayfromthenotionthatdi˙usion"just happens"andmovetowardsacausalexplanationthatinvolvesindividualcollisionshappeningata largescale.Miles'sre˛ectionbelowdemonstratesthat,forhim,thiswasanovelwayofthinking ofdi˙usion. miles: Honestlythisactivityreallyhelpedmekindofformalizeavisualrepresentationof di˙usion[ gesturingturningobjectsinhishead ]ofpiecesofdi˙usionthatmakedi˙usion, di˙usion...allofthesemoleculesinthistight-packedspacelikebouncingo˙each otherallowedthemtolikedispersethroughouttheentirething...andallthelittle interactionswithincausedittodi˙useoutintothewholething.Actually,Iremember thatinclass,thatwassomethingthathelpedmethinkaboutdi˙usionindi˙erent way...Ineverthoughtofdi˙usionthatway,Ijustwas[inhispreviouscourses]told thatyoudisperse,thatyoudispersethroughoutaliquidbutithastodowiththings interactingandbouncingo˙eachother. Int2,Nov.2016 ] WearguethatphysicsisbecomingmorerelevanttoMilesinthatitprovideshimthetoolkitto visualizeandgainanewperspectiveondi˙usion,aphenomenahehaspreviouslylearned.Miles stronglyidenti˝esasabiochemistandhassigni˝cantrootsintothosedisciplinarycommunities throughhisresearchandtutoringexperiences.Ifphysicscanimpactthesecontextswithwhich 107 Milesstronglyidenti˝es,physicscanpotentiallyplayamoresigni˝cantroleinMiles'slife.Later inthesameinterview,weseethatMiles'sattitudetowardsphysicsintheMCATtutoringprogram hasshifted.Previouslyhenotedhowhewasgladhedidn'thavetoteachphysicsbecauseitwas suchafrustratingexperienceforthoselearningit.Henowstatesthatheiswillingtohelpstudents withphysicstopicsandisokaywiththeprospectofbeingincorrect. miles: Itutor,or,IdolikeanMCATprogramoverthesummer,andtheyhavebiochemistry, bio,chem,physics;allthatstu˙.We'rejustbasicallylikeLAsorwhatever.So,people comewithdi˙erentquestionsallthetime.Like,thispastsummer,physicswasthe onlycoursethatIcouldn'thelpanybodywith.SoIfeellikeIwouldbeabletohelp someonemore-sowiththat.Imean,IthinkIwouldfeelprettycomfortablewithdoing it.Imean,I'mnotafraidtobewrong.SoifIdidn'tknowsomething,Iwouldjustsay Idon'tknow,oranything.ButIwouldneverbeafraidto... Int2,Nov.2016 ] MilesstatesthathefeelscomfortabletutoringstudentsforthephysicsportionoftheMCAT, asituationthathepreviouslydescribedaspeople"pullingtheirhairout"andthestudentshaving "lookedterrible."WetakethismomenttosuggestthatMilesisfeelingmorecon˝dentinhisability todophysics.WesawearlyonthatMilesenteredourcoursebelievingthatphysicsmustbe importanttotheotherscienceseventhoughhewasunabletodescribespeci˝cexamples.Nowafter asemesterandahalfofphysicsinstruction,Milescanmorecon˝dentlydescribetheimportance andrelevancetophysicstootherdisciplines. WeinterviewMilesforathirdtimeafterhehasleftthe˝rstsemesterofBLiSSphysicsand ishalfwaythroughhissecondsemesterofphysics.DuringtheinterviewweaskMileswhyhe enrolledinthe˝rstsemesterofphysics,thisleadstoMilesdescribinghimselfassomeonewho valueslearning. interviewer: So,takemeback...whydidyouenrollin[the˝rstsemesterofphysics]? miles: Well,Imean,it'sarequirementformymajor. 108 interviewer: It'sarequirement.Okay. miles: Yeah...Ireallydon'twanttosayI'moneofthosepeoplewhojustisgoingtotakea classbecauseit'srequiredbymymajor.IreallypridemyselfinthinkingthatIreally amverypassionateaboutlearning.Iwouldconsidermyselfasalifelearner.Iwill learntherestofmylife.IwanttolearnasmuchasIpossiblycan.Ireallybelieve knowledgeispower. Int3,Mar.2017 ] Milesisengagedinamultitudeofacademicendeavors,andmustbalancethetimeinvestment ofhisengagementwiththerelativereturnonthatinvestment.Webelievethisisemblematicofthe decisionslifescience,andespeciallypre-healthstudents,havetomake.Unfortunately,inthePER literature,thissophisticatedprioritizationofconstrainedresourcesispresentedasanunwillingness tosee,orignoranceof,theimportanceandrelevanceofphysics.Miles'snotionthatknowledgeis empoweringcontinuesthroughouttheinterview,andpointstothisbeliefasthereasonheworked sohardintheFallsemesterofphysics. miles: But,IthinkthathastodowithwhyIworkedashardasIdid.YouknowwhatImean? BecauseIreallydidwanttounderstandwhatweweredoing.Iwantedtounderstand alloftheseconceptsthatwewerelearningandthingslikethat.Becausephysicsis whythingswork.YouknowwhatImean?That'swhatI'velearned...inPhysicsII now,andthenlastsemester.That'swhytheselawsandstu˙arewhytheworldaround usworksthewayitdoes.SoIthoughtthatwassuchavaluablepieceofknowledge thatanybodyshouldhave.Ireallybelievethatonceyouhavethatknowledge,thatthat knowledgeempowersyouandyoulookattheworldverydi˙erently.Sothat'swhyI reallyworkedhardtounderstandeverythingItrytounderstand. Int3,Mar.2017 ] Miles'sstatementshereconnecthishardworkinthe˝rstsemesterto:(1)valuingknowinghow theworldworksand(2)believingphysicshastheabilitytoexplainhowtheworldworks.Laterin 109 theinterviewMilesexpoundsonwhyhebelievesheisrequiredtotakephysicsasabiochemistry major. miles: IthinkI'mrequiredtotakephysicsbecauseImean,wehavetobewell-roundedin thesciences,forone.Andtwo,it'sjustadi˙erentwayofthinking.Imean,howcould yougothroughlifeandlookatthethingsyoulookatandwhy,Idon'tunderstandhow someonecouldn'tquestionsomeofthosethingsornotwanttounderstandwhythings work.SoIthinkjustpracticingtheskillofopeningyourselfup...andembracingnew waysofthinking,nomatterhowhardtheyare.Ithinkthat'ssoimportant.Andjustas apersonandasastudentaswell.Ireallybelievethat. Int3,Mar.2017 ] Milesthroughoutthethirdinterviewframeshimselfashavingastrongdesiretounderstand whythingsintheworldworkthewaytheydo.Thisdesiretounderstandtheworldcombinedwith hisbeliefthat"physicsiswhythingswork"positionsphysicsasatoolhecanusetosatisfyhis curiosityabouttheworld. interviewer: Howdoyouseephysicsbeingimportanttoyouintherealworld? miles: Iquestioneverything. interviewer: [ repeats ]Questioneverything. miles: Ireallydoquestioneverything...Sophysicswouldforsureapplytometryingto answerwhysomethinghappened.Forthelongesttime,Iwantedtoknow[why]salt meltsice.Iwantedtounderstand,"Whydoesthishappen?Whyisthisathing?"So, justlittlethingslikethat.Icanlookaroundandjustquestionanydumbthing.You knowwhatImean?Sunsets,like,whyarethosecolorsthere?Justthingslikethat.So Ithinkthat's...howit'sgoingtoapplyintherestofmylife. Int3,Mar.2017 ] 110 Milesstatesthatsincelearningphysics,heisnowabletoseephysicsconnectionstohisother courseworkandhistutoringinotherdisciplines.Inthenextmoment,Milesexplainshowphysics cananswerincreasinglydeeplayersof"why"questions. interviewer: Haveyouseenanyconnectionsbetweenphysicsandyourothercourses? miles: Oh,yeah.Yeah.Allthetime.Imean- interviewer: Allthetime? miles: Yeah.Imean,andeventhinkingbacktophysicsin...otherclasses...I'malsoa studenttutor,soItutorOrgo,Chem,andthenBiochem,andBio,So,like,Iwas justhelpingsomeonelastweekwith,itwasspectroscopyandthingslikethat...they wereaskingwhythathappens.So,Imean...youcangivetheexplanationabout, "Oh,electronsarejumpingtohigherenergystatesandthenbackdown."Butthen theyask,like,"Okay,sowhatisthislight?Whatisthislightentity?"...Sothatgets intoelectromagneticwaves,andthewavelengthsandtheamountofenergyineach wavelength,andthingslikethat...It'salmostlikeIhavebeenlearningphysicsallmy life,andIjusthaven'treallyknownit.Someoftheequationshaven'tbeeninaphysics classroom..."Okay.I'mstillassociatedwithchem,"..Physics,I'vebeenseeingallmy life.It'sjustnow[I'm]practicingitandunderstandingthevariablesandstu˙likethat. SoIseeit[physics]allthetimeinmyclassesnow. interviewer: Gotcha. miles: ...it'seasierformetoidentifyphysicsnow.Forsure. Int3,Mar.2017 ] TheexperiencesthatMilesrecountsinhisinterviewssuggeststhatthetwosemestersoflearning physicshashadaprofoundimpactonhislife.WeaskMilesifourphysicscoursehaschangedhis interestinphysics. interviewer: Doyouthinkthe˝rstsemestercoursechangedyourinterestinphysics? 111 miles: Yeah.Yeah.BecauseitreallybecauselikeIsaid,I'mveryattractedtounderstanding thewaythingswork,andphysicsisthat.Physicsisliterallythat.SoIwasveryattracted, Ibecameveryattractedtophysics.Imean,ifyoubrushawayallthefrustrationand like,howdi˚cultthattheerrgh!sometimes,aboutit. miles: Ireallyaminterestedinphysics.That'swhy,it'salmostlikeIkeeplearningmore in-depthstu˙,whetheritbebiochem,whetheritbephysics.Ifeelmorecomfortable understandingtherealworld.YouknowwhatImean?AndsoIthinkyes.After takingphysics...mypassiontounderstandphysicsreallybecameheightened.Iwant toexplorethesedi˙erentconceptsandwhat-not.So,yes.Ithinkso.Verycon˝dently, yes. Int3,Mar.2017 ] WearguethatthislastquoteisemblematicofhowphysicsischaracterizedinMiles'slife,a mixed-state:itisboththesourceoffrustrationaswellasasense-makingtoolthathecanuse tobetterunderstandotherdisciplinesandtheworldaroundhim.Milesexperiencesphysicsasa waytovisualizedi˙usionaswellasaspaceinwhichhisoutsideknowledgeisrelevant.Miles articulatesconnectionsbetweenphysicsandmultiplesettingsinhislife:hiseverydaylife(sunsets, saltmeltingice),hisotherdisciplinarycourses,andhisroleasatutor.ThisisincontrasttoAct IinwhichMiles'srecognizedtheimportanceofphysicsbuttheroleofphysicswaslargelyan unspeci˝edanxietythatphysicswasarequiredhurdleinhispath. 6.4.5GrowthofconnectionsinMiles'smesosystem IfwelooktoMiles'smesosystem(Fig.6.2),wecannowseethatphysicshasconnectionstomany aspectsofMiles'slife.Itprovidestheexplanatorypowerneededtounpackdisciplinaryideasin hisothercourses,physicshelpshimconstructexplanationsashe'stutoringothers,andservesasa waytounderstandthelightfromasunsetorwhysaltmeltsice.InActIwedescribedhowMiles largelydescribedphysicsasbeingoutsideofhisexpertise;inActIIwehavemadetheargumentthat hisphysicscourseisaspacewherehebringsinandshareshisexpertise.Physicsalignswithhis 112 Figure6.2:ArepresentationofconnectionswithinMiles'smesosystemashe˝nishestwosemesters ofphysics.Whencomparedtohismesosystemintheprevioussection(Fig.6.1),physicshasmany moreconnectionstoothersettingsMilesengagesinincludinghisjobasanMCATtutorandasa tutorattheuniversityformultiplelifesciencecourses.Milesnowpointstophysicsasprovidinga newviewontheworldaroundhimaswellashelpinghimconstructdeeperexplanationsofconcepts inlifesciencecourses. personalinterestinunderstandingunderlyingmechanismsandprovideshimatoolkittounderstand phenomenahe'spreviouslylearnedinanewlight.Overall,physicshasbecomemoreenmeshedin Miles'slifeandthemesosystemprovidesamapoftheconnectionsbeingmade.InthenextAct,we willseeMilesmovebeyondhisroleasalearnerofphysicsandintotheroleofateacherofphysics ashebecomesalearningassistantthatpromotestherelevanceofphysicstoothers. 6.5ActIII:Milesasanampli˝eroftherelevanceofphysics AsMilesnearedtheendofhissecondand˝nalsemesterofphysics,hewasidenti˝edbythe instructionalteamasastudentwhowouldbeagoodcandidatefortheroleofundergraduatelearning assistant(LA).Hewasencouragedtoapply,andeventhoughMileswasinitiallyhesitant,hewould applyandjointheBLiSSPhysicsinstructionalteaminthefollowingFallsemester.Afterafew monthsofteachingasanLA,weinterviewMilesforafourthtimeanddiscoverthatthetransition 113 intoteachingphysicsmarkedasigni˝cantchangeinhiscon˝dence. miles: Mywholeperspectiveofphysicshasjustchanged...Ineverwouldhavethought itwouldhavechanged,ever...IwasveryapprehensiveaboutbecominganLA,just becauseIwasn'tcon˝dentonsomeofmyphysicsbackgroundandmakingthose connectionsandhelpingstudentsunderstandtheseconnections.BecauseIwasnot con˝dentonthat.Buttobehonestwithyou,thepast,probablythepastmonth,Ihave feltsocon˝dentintheclassroom.Just,Idon'tknow,itjust,it'smore,it'sjustdi˙erent. It'sverydi˙erent,seeingeverythingagain. Int4,Nov.2017 ] Teachingphysicsmarksasigni˝canttransformationinMiles'sviewofphysics,andinthis˝nal actwewillexplorewhatitmeansforMilestobecomeanampli˝erofrelevance.InAct1,wesee Milessharemultipleexamplesofhowhisbeliefsandattitudestowardsphysicswasshapedbythe experiencesandwordsofothers.HedescribeshowhispeersoftenavoidBLiSSphysicsbecause ofitsdi˚cultyandopttotakeadi˙erentcourseforamorepredictablegradeoutcome.Milesalso witnessedasanMCATtutorthestressstudentswentthroughwhenhavingtoprepareforthephysics portionoftheexam.Thebeliefthatphysicsisadi˚cultobstacletoovercomemayperpetuateif Milesweretore-voiceorotherwisesupportthemwithexamplesfromhisownexperience.Instead, weseeMilesshareexamplesofhowusefulandrelevantphysicshasbecometohim.Hedoesnot perpetuatethenotionthatphysicsisirrelevantbutinsteadampli˝esitsrelevancetoothers. 6.5.1Reinforcingconnectionsofstudents ItisthemiddleoftheFallsemesterandstudentsareworkingonbuildingexplanatorymodelsfor whyoilandwaterdonotmix.Milesiswalkingaroundtheclassroomcheckingongroupsinhis roleasanLA.ThethreestudentsinthegroupareNicole,Melanie,andAlisa.Nicolehasjust realizedshehasdonepartsofthisactivityinherbiochemistrycourseandhasbroughtupslides fromthatcourseonherlaptop. 114 nicole: Ididthisinbiochem- miles: Iknow!Didyoutake461or401?Iknowthere'slike,thatpicture[ pointsdownthe classroom ]isliterallyinour,Itook461,that'sinourbiochembookandit'sliterallythe samesituation,likeitliterallyexplainsit. melanie: Wedidtheoilandwaterthinginmychemclasslastsemester. miles: Didyoutalkaboutitintermsofentropythough? melanie: Yes miles: Youdid?Damnit,youshouldbelikereallycon˝dentonthis. melanie: TheproblemmademeveryangryatthetimebutnowIunderstandit. miles: Iknow,whenI˝rstdidthisactivityIwasconvinceditwasenthalpy,Iwaslike 'nope,it'senthalpy-driven,itisnotentropic,thisisenthalpy'andIwascompletely, likecompletelywrong.Also,ifyouguysknowit,likeifyou'vealreadydoneit.Try toexplainwhythisisfavorable.[ drawsnewsituationonwhiteboard,notvisibleoncamera ]so thisisthesubstrateforanenzymeandthisistheenzyme.Sowhyisthisfavoredwhen thissystemismoreorderedthanthissystem? OilandWaterActivity,Nov.2017 ] MilesinthisclipreinforcesNicoleandMelanie'sconnectionstoothercoursesaswellasuse storiesofhisownpreviousmisconceptionstopresentphysicsastheplacewherehegainedamore completeunderstanding.Wedonotarguethatthisisanuncommonoruniqueinteractionbetweena learningassistantandstudentsbutwedoarguethattheintersectionofMiles'srolesintheclassroom isparticularlye˙ectiveatcommunicatingtherelevanceofphysicstoothers.Heisabiochemistry majorwhohaspreviouslysucceededinthiscourseandheispositionedbythefacultyinstructoras adisciplinaryexpert. 6.5.2Milesispositionedasanexpertintheclassroom Inthenextclassperiod,thefacultyinstructoriscreatingasummarypageoftakeawaysfromtheoil andwateractivityonthedocumentprojectorandhasjust˝nishedansweringaquestionaskedbya 115 studento˙-camera. faculty: Alsothismightbeanimportantthing.Idon'tactuallyknow,doesanybodyknow abouttherelativemagnitudesofbreakingthesehydrogenbondsbetweenformingthese hydrophilicconnections?[ Facultylooksaroundclassroom,nooneanswers ] faculty: Idon'tknow. miles: They'reaboutthesame. faculty: [ looksatMiles ]They'reaboutthesame?OK,[Miles]issayingthey'reaboutthe same,Itrusthim[ smiles ]sothequestionwouldbehowmanydoweendupwithinthis process. OilandWaterActivityConsensusBuilding,Dec.2017 ] Inthisbriefmoment,theinstructorposesaquestionthatshedoesn'tknowtheanswertoand asksifsomeoneintheclassknowstheanswer(afairlytypicalmoveinthisIPLSclass).Whenno onereplies,Milesprovideshisresponseandtheinstructorre-voicesitandstatesthatshetrustshim. Thismomentofrecognitionasaknowerofoutsideknowledgeaswellasthepreviousexampleof Milesworkingwithstudentsandpositivelyreinforcingtheirconnectionsarejustsingularexamples ofthetypesofinteractionsMileshasthroughouthistimeteaching.Herepeatedlyusesthelessons he'slearnedfromhistimeasastudentinthecoursetoengageandmotivatestudentsinlearning physics,andheconsistentlyservesasanexpertfortheinstructortorelyuponintheclassroom. WhydoesastudentlikeMilesendupbeingapromoterandampli˝eroftherelevanceofphysics? Inthenextsection,weinterviewMilesnearthemiddleofhis˝rstteachingsemesterandseethe importanceoftheconnectionshe'sbeenabletomakeinhismesosystem. 6.5.3Increasedcon˝denceandclarityofconnections Miles,inhisroleasalearningassistant,hastheopportunitytogothroughtheentire˝rstsemester curriculumwiththebene˝tof(1)having˝nishedayearofphysicsand(2)shiftinghispriorityfrom completingactivitiestounderstandingandconveyingthemainpurposeofactivities.Inthefourth 116 interview,weaskMilestore˛ectonthepastthreesemesters:twoasastudent,andthecurrentone aspartofaninstructionalteam. miles: SoInoticed,Iforsurenoticedthatwhileteachingthissemester.ThatI'mjustreally startingtounderstandhoweverything's˝nallyconnecting.YouknowwhatImean? Asastudentin˝rstsemester,Ireallycouldnotseethat.IthinkIreallystruggledwith, IevensaidthatinalotoftheinterviewsIhad.Iwasn'tabletovisualizewhywewere learningtheseequationsbythese,alltheseWhitemenwhowerelikevisionaries.You knowwhatImean?Like,whywouldbelearningallthatstu˙? miles: SoI'm˝nallystartingtounderstandallofthatstu˙...I'malsoinPChem[Physical Chemistry]rightnow...EvenwhenIwasjuststudyingformylastPChemexam,it wasliketheseequationsthatusedtojustscarethehelloutofme,inthatitjustlooked likeabunchoflettersthrownaround.Itwasmoreintimidatingthen...Icouldn'teven putforthunderstandingbecause...it'salmostlikeIdidn'tcareasmuch.Butit's almost,nowlookingbackatallofthis,andlookingathowmuchIactuallydoknow andapplyingitindi˙erentplaces,likePChem,forinstance.It'salmostinspiringthat thepeoplewhomadetheseequations,andthesamepeoplewhofrustratedmewhen Iwasn'tapplyingmyself,justhowdi˙erentlytheysawtheworld.YouknowwhatI mean?It'sjustveryinspiring,inaway... Int4,Nov.2017 ] Milescontrastshisattitudetowardsphysicsinthe˝rstsemestertohiscurrentviewanduses hisviewofphysicsequationsasapointofcomparison.Equationspreviouslywereintimidating andMilesdescribeshedidn'tunderstandwhyhehadtolearnthem.Weseethisdescriptionas parallelingMiles'svisibledisengagementatthestartthecomputationalsequenceondi˙usion.He notesintheabovetranscriptthatoneissuewasthathewasn'tabletovisualizethepurposeof theequations.Similarly,inthein-classdata,itwasn'tuntilthesimulationshowedthepowerto visualizeideasthathefoundtheactivitytobeusefulandinteresting. 117 InMiles'secology,henowhasanewroleinthephysicsclassroomasamemberofthe instructionalteam.InFigure3,weseethatinhismesosystem,connectionstophysicsarespreading tonewsettings,notablyPhysicalChemistry. interviewer: YoumentionedthattherearesomeconnectionsandapplicationstoP.Chem. Canyousaymorewordsreallyquick? miles: Yeah...whatI'vebeenseeingmostly,isbecausethe˝rstwholehalfofPChem, wetreateverything...withclassicalmechanics.So,like,Boltzmannconstantand thingslikethat.I'veseentheBoltzmannconstantbefore,insecondsemesterspecif- ically...ThenIjustunderstood...especiallyhow,like,theArrheniusequation.It describesthefractionofmoleculesthatcanhaveenoughenergytoreact. interviewer: Wow. miles: YouknowwhatImean? interviewer: Yeah. miles: So,andthatincorporatestemperature,forinstance.So,Iwas˝nallystartingto understandhowtemperaturewell,Imean...Welivewithit.Wecheckourphonesfor temperatureandthingslikethat.But...I˝nallywasabletovisualizethatrelationship betweenincreaseinthetemperature,increasestheprobabilityofthesemolecules reacting,andblah,blah,blah,blah,blah....mybrainalmostwasgrip-,tryingtograb ontothingsthatIknew. Int4,Nov.2017 ] WhenMilesislearningconceptsinphysicalchemistry,heisreachingforideaslearnedinhis physicsclasses.Tothereaderitmaybeobviousthatphysicalchemistryandphysicsshouldshare manydisciplinaryideasbutwearguethattheviewsofmanylifesciencestudentsandworking professionalsthatphysicswasirrelevanttotheirsciencepreparationsuggestthatitisn'tanobvious ornaturalconnection[12,Physics,duetoitspervasivereputation,canbeintimidating, whichwascertainlytrueforMilesbeforehetookphysics.Whencoursesareintimidatingand 118 perceivedasahurdletoovercome,manystudentswillhavethedesiretocompartmentalizethat courseasabadmemory.HereweseeMilesactivelylookingtophysicsashelearnsnewideas,a classicexampleofwhatitmeansforphysicstoberelevant[18].Miles'sdisciplinaryconnections betweenphysicsandotherdisciplinesservestobeanimportantpartofhisroleinthephysics classroomasalearningassistant. 6.5.4Powerfulimpactsofagrowingsenseofrelevance ForMiles,thetransformationheexperiencesisnotlimitedtoanincreasednumberofcross- disciplinaryconnectionsbuthasasigni˝cantimpactonMiles'srelationshipwithphysics[36].In the˝rstact,wedescribeMiles'sapprehensionandanxietytowardphysics.Inthis˝nalact,we seethatthisrelationshiphaschanged.Inthepassagebelow,Milesengagesinare˛ectiononhis journeywithphysics. miles: It'squitehonestly,veryremarkablehowcleareverythinghasbecome.Like,I'mtruly notafraidofphysicsanymore.Like,Iwasveryscaredofphysics.Becauseitwasjust awayofthinkingIneverhadtodo.Itwassomethingthatjustdidn'tcomeeasilyto me,andsomaybesubconsciouslyIwastryingtoresistitalot.That'smaybewhyI struggledquiteabitwhenitcametotryingtolearnphysicsinastudiostyle.Ireally don'tknow...Butit'salmostlike,"Whydon'tweallthinklikethis?"now.Youknow whatImean?It'sjustsuchalogicalwayofunderstandingthingsthatIthinkwejust glazeoverinsomeofourclasses.YouknowwhatImean? miles: IwasveryapprehensiveaboutbecominganL.A.,justbecauseIwasn'tcon˝denton someofmyphysicsbackgroundandmakingthoseconnectionsandhelpingstudents understandtheseconnections.BecauseIwasnotcon˝dentonthat.Buttobehonest withyou,thepastprobablythepastmonthIhavefeltsocon˝dentintheclassroom. Int4,Nov.2017 ] 119 6.5.5Re˛ectingontheevolutionofMiles'smesosystem AswelookattheMiles'smesosysteminthis˝nalAct,weseethatphysicshasbecomemuch moresecurelyconnectedandintegratedintohislife.Physicsconnectstodisciplinarycourses likePhysicalChemistry.Physicsisnowconnectedtohistutoringandlearningassistantrolesin apositiveway:physicsisadisciplinehecanteachtoothersasopposedtoasourceofdistress. Physicsisalsohelpingprovidedeeperanswerstothequestionshehasabouttheworldaround him,wherepreviously,itwasaninscrutableareaofstudyforMiles.Thesenumerousconnections sproutinginhismesosystem˝rmlyattachesphysicstohavearoleinMiles'slife.Throughthese connections,physicsisrelevanttoMiles. 6.6Discussion Studentsreportingthatphysicsideasconnecttoexperiencesintheirlivesandtheworldaround themiscertainlythegoalofmanyreforme˙ortsinPER.Whatwedescribeheregoesbeyonda storyofastudent"seeing"therelevanceofphysicsandshowsthepowerfulimpactwhenastudent forgesconnectionswithadisciplinetheypreviouslyfeared.Usingecologicalsystemstheoryasa waytounderstandstudents'liveshelpsuscenterourexplorationonthestudent.Wecanbuildfrom theexperiencesstudentsbringwiththemintothephysicsclassroomsandlookforwaystoleverage theirrichbackgroundsinthelearningofphysics. WearguethatthetransformationintherelationshipMileshaswithphysicsleavespowerful lastingimpressionsonhislife.Henotonlybelievesthatphysicsisrelevanttohim,heisactively promotingtherelevanceofphysicstoothers.Leveragingstudents'ecologicalsystemsinthe classroomhelpsustoshiftawayfromafocusonconvincingstudentsthatphysicsisrelevant. Insteadofsearchingforcompellingcurricularcontexts,wecandesignclassroomexperiencesthat treatstudentsasmorethannovicephysicslearners.Thisdesignchoicereliesonframingstudents asableandwillingtoseekoutmeaningfulconnectionsacrosstheirexperiences. Miles'sexperiencesthroughthesethreesemesterscreatearichstory,andonecanexploreit usingmanylenses;eachlensisonlyaprojectionintoareducedplaneofanalysis.Wechosetolook 120 throughthelensofrelevancetohelparticulatetheprocessofastudentstartinghisjourneythrough physicsfearfulofthedisciplineandendingwithhimpromotingandamplifyingtherelevanceof physicstoothers.Thereisnocurrentconsensusonhowtomakeaphysicscoursemorerelevant, whichmaybeunsurprisingsinceweareonlyapproachingaconsensusforwhatitmeansforphysics toberelevantatall[9,10,12,51,92]. ForMiles,hisphysicslearningexperiencesservedhisdesiretounderstandcross-disciplinary conceptsdeeply,makesenseofeverydayphenomena,andhisself-statedneedtovisualizeconcepts beforeunderstanding.Physicswasaspaceinwhichoutsideknowledgefromhisbiochemistry majorwasvalued;itwaswhereheshedtheintimidatinglabelofanovicephysicslearnerandbe seenasaknowerofimportantpiecesofknowledge.AsMilestransitionedfromstudenttoLAwe seehimdeeplyintegratedintoaspacewhichhepreviouslyhadnoexperiencewith.Heservesas anexpertintheclassroomthatdemonstratescon˝denceinhisabilitytodophysicsandconveythe relevanceofphysicstoamultitudeofdisciplinaryexperiences. Milesisrepresentativeofthevastmajorityofstudentsinourclassroominthattheyaresuccessful intheirhomedisciplinesandhavemadeasigni˝cantinvestmentinlearningscience.Inthatlight, itisfoolishandde˝cit-tingedtoargueforconvincingorforcingstudentsto"see"therelevanceof physics[43,48].ItimpliesstudentslikeMileswillnotmakemeaningfulconnectionsontheirownif giventheopportunity.Itisnolongertenableforphysicsinstructiontorelyontheculturalreputation ofphysicsbeingfundamentalasasu˚cientargumentforwhyphysicsisrelevant.Thisisolating stanceisintimidatingandanxiety-inducingforstudentslikeMiles.Ifclassroomsfocusonshifting theframingofstudents'rolesfromnovicelearnerstomembersofalearningcommunitywith valuableknowledgeandexpertise,studentscanbecomepromotersandampli˝ersoftherelevance ofphysics. 6.7Implications Wearguethatinordertomakephysicsmorerelevanttostudents,classroomdesignsneedto providestudentswiththeagencyandspacetobringthemselvesandtheirexperiencesintointeraction 121 withphysics.WhendesigningBLiSSphysics,weunderstoodthattherewasnowaytopredictor catertothediversityofbackgroundspresentinourstudentpopulation.Tomitigatethisproblem, wefocusedondevelopingclassroomexperiencesthathad˛exibilityandspacetoallowstudentsto: (1)usephysicstouncoverinsightsinfamiliarcontextsfromothercoursework,(2)recognizethat bringinginandvaluingtheiroutsideexperiencesisacriticalpartofdoingphysics,and(3)design experimentstoanswertheirownquestions.Inthefollowingsectionswedescribetheimplications ofsuchadesign. 6.7.1Framingphysicsasfundamentalisdetrimentaltopromotingrelevance IPLSclassroomsarebydesigncross-disciplinaryspaceswherestudents'disciplinarywaysof knowingfrombiologyandchemistrycomeintocontactwiththenormsofwhatitmeanstodo physics.Thisinteractionbetweentheepistemologicalvaluesofdi˙erentdisciplinescanpotentially leadtotensionorgrandstandingifaphysicsinstructorleadsstudentstobelievetheknowledge fromtheirothercoursesisanincompletestoryorthatinthephysicsclassroomtheywilllearnwhat "really"occurs[93].Thisnotionthatphysicsissomehowamorefundamentalscienti˝cdiscipline thanothersispervasiveandtroubling. Forpre-healthmajorslikeMiles,theinsistencethatphysicssimplyisrelevanttothem[43]runs countertotheirownexperiencesworkingwithdoctors[12]aswellascountertoalargecollection ofresearchinthemedicalcommunitymakingthecaseforphysicsbeingirrelevanttothesuccess ofdoctors[15,Wearguethatframingphysicsasfundamentalorthewaysofknowing inphysicsasbeingadistinctenterprisetostudents'previousexperiencesworksdirectlyagainst physicsbecomingmoreconnectedandenmeshedinstudents'lives. 6.7.2Positioningstudentsasdisciplinaryexpertsisapowerfulpedagogicalshift StudentsinourIPLSclassroomarrivewithawealthofexperienceinscienceintheformof coursework,research,andservice.Milesinitiallydescribeshimselfashaving"ZEROphysics knowledgewhatsoever"andinmanyphysicscourseshemayverywellbetreatedasanovice.The 122 BLiSSphysicsclassroomvaluesMiles'sdisciplinaryknowledgeandexpertiseandconsidershiman expert.Inpreviouswork,wehavedescribedotherinstancesinwhichstudents'outsideknowledge beingvaluedintheBLiSSphysicsclassroomledtoanincreasedsenseofrelevance[12,15]. Inamirroredfashionstudents'experiencesandknowledgearerelevanttodoingphysicsand thetoolkitofphysicsisrelevanttoansweringquestionsstudentscareabout.Believingthatphysics canbeatoolusedtounderstandphenomenastudentsareinterestedincanbeapowerfulwayfor studentstoseephysicsplayingaroleintheirlives[12,13,15,31]. 6.7.3Discomfortofteachingwithouthavingalltheanswers Teachinginaclassroomwiththisamountof˛exibilitycanseemuncomfortable,especiallyfor physicsinstructorswhoareaccustomedtobeingtheprincipalexpertsintheroom.Therewillbe momentsinwhichthephysicsfacultywillnotknowtheanswertoaquestionstudentsbringupfrom disciplinesoutsideofphysics.Physicsinstructorsmaynotbeknowledgeableinthecomplexities beyondthereducedbiologicalmodelsconstructedinintroductoryphysics.Inourdesign,this concernisalleviatedtosomeextentbyhavingLAsfromoutsidedisciplinesintheclassroomand relyingonourownstudentsasexpertsintheirhomedisciplines. InActII,thefacultyinstructorposedaquestionforwhichshedidnothaveananswer.What followedwasamomentforMilestostepupasanexpertandtoberecognizedinfrontoftheentire classassomeonethefacultyinstructortrusts.Wearguethatteachingwithoutknowingallofthe answersandhavingtorelyonstudentsforpiecesofknowledgeismuchclosertoanauthentic communityoflearnersconstructingknowledgetogether.AttheendofMiles'sjourneyinour classroomphysicsnolongerstandsapartfromtheotherdisciplinesinhislifebecomeswell- connectedtomanyaspectsofMiles'slife.Physicsisnolongeraninscrutabledisciplinethatothers sayisimportantandrelevant,insteadphysicsisenmeshedinhowMilesunderstandsdisciplinary ideasinhishomediscipline. 123 6.8Acknowledgements WethankthemembersoftheANSERgroupforthoughtfuldiscussionsaroundthiswork.We thankthePERL@MSUgroupfortheirengagementandre˛ectionsduringgroupmeetingswhere thisworkwaspresented.ThisworkwasfundedbytheLymanBriggsCollegeandtheDepartment ofPhysicsandAstronomyatMichiganStateUniversity.WethankAngelaLittleforcontinually highlightingthevalueofourworktothecommunity.WethankBenjaminGellerforencouraging ustopushforwardaswebothexploredthemurkyspaceofrelevance.Lastly,andmostimportantly, thisworkwouldnotexistwithoutMiles.Wearegratefulfortheinsightshe'sprovidedandthetrust he'splacedinustotellthesestories. 124 CHAPTER7 DISCUSSION 7.1Currentunderstandingofrelevance Thestudiespresentedinthisdissertationareallfocusedontherelevanceofphysics.Thenotion ofrelevanceIhavedevelopedhastwotraits,it(1)isembodiedinarelationshipbetweenastudent andphysicsand(2)canbemeasuredorobservedasconnectionsbetweenphysicsandthesettings instudents'lives.Inmomentswherestudents˝ndphysicstoberelevant,theyare˝ndingmeaning inthephysicsideasandpracticestheyhavelearnedinaspeci˝csetting.Ecologicalsystemstheory allowsustoselectsettingsofdi˙erentgrainsizestosupportthespeci˝cresearchquestionweare interestedin. 7.1.1Ourchoiceofsettings Forourstudyofrelevance,wehavemostlydiscussedthesettingsofdisciplinarycoursework andresearch.Onecan,however,choosetolookatstudentexperiencesthroughdi˙erentsettings altogether.Forexample,inChapter4.2,wediscussedthecasestudentSamwhosefriendshipwith herfriendsupportedherthinkingofandreasoningwithphysicsconceptsinhereverydaylife.One couldtakethissamelensandapplyittothecasestudentsofMilesandMaria,whowerefriends duringthecourseandbecameLAsatthesametime.Dependingonthechoiceofsystems,youwould telladi˙erentstoryaboutthecontributionofthoseconnectionstofurtheringasenseofrelevance. Wemadeaspeci˝cchoicetofocusonthesettingsthat(1)werereadilyaccessiblewithinthe largerdesign-basedprojectand(2)allowedustostarttheprocessofarticulatingtheimplications ofclassroomdesign.Ourchoiceofsettingshasimplicationsforthebreadthanddiversityof connectionswedescribe.Withinthis˛exibleframeworkofrelevance,pushingbeyondthesetting ofaclassroomwouldyieldrichandinterestingresultsonhowothersettingsarepromotingor hinderingastudent'ssenseofrelevance. 125 7.1.2Ourchoiceofsystems Inadditiontorestrictingoursettingstothedomainofastudent'sacademiclife,wechosetonarrow ourfocustothemicro-andmesosystemofecologicalsystemstheory[22].Ournarrowingoffocusis notintendedtoconveythattheotherlayersofsystemsarenotimportantorconsequential.Infactwe seethee˙ectsoftheseouterlayersofsystemspermeatingthroughoutthemeso-andmicrosystem. Forexample,sincethisstudyisimplementedwithintheUnitedStates,itisinfusedwiththecultural valuesandideologiesofthiscountry.Weseeallclassroominteractionstobein˛uencedbyand reproductionsofvaluesandideologies.Forexample,domesticandinternationalstudentswill arriveinourclassroomwithdi˙erentculturalvaluesandideologiesthatwillimpacthowthey engagewiththeenvironmentandtheirpeers.IPLScoursesnavigatetheintersectionofphysicsand biology,eachofwhichhasitsownepistemologicalvaluesandculture.Wemadeanintentional choicetofocusourattentiononthenatureofconnectionsacrosssettingsandacknowledgethemany directionsforfuturework.Forexample,exploringhowBLiSSphysicsinteractswiththecultureof physicsthatthecourseissituatedwithin.Dothedesignfeaturesimpacthowstudentsperceivethe cultureofphysics? Ichosetofocusonthemicro-andmesosystemspeci˝callyasitrepresentedtheminimal complementtounderstandandanalyzecasestudents'statementsonhowphysicsisrelevantto andmeaningfulinareasoftheirlives.Themicro-andmesosystemalsorepresentedthesystems mostreadilyprobedbyourstudydesignwhichdidnotfollowstudentsoutsideoftheclassroom environment.Anexplorationofthein˛uencesoftheexo-,macro-,andchronosystemwouldlikely necessitateadi˙erentstudydesignbutwouldaddrichnesstoourunderstandingofhowindirect settings,valuesandideologies,orthepassageoftimewouldimpactastudents'senseofrelevance. 7.1.3Revisitingearlycaseswithourcurrentview Inlookingbackacrossthestudiespresentedinthisdissertation,thereareseveralavenuesthatwe couldrevisitequippedwiththeknowledgeofecologicalsystemstheory. Inchapter4.1wewereintroducedtothecasestudentBeverlywhostatedthatphysicswas 126 notrelevanttothepracticeofmedicinebecauseofconversationswithphysicianssheshadowed. Neartheendofherparticipationinourstudy,shehadswitchedawayfromapre-medicaltrack. AnecologicalsystemsviewofBeverlywouldhelpusarticulatethechangesthatmayoccurwhen studentsexperienceashiftintheacademictrajectories,andthee˙ectsofthatshiftontheirperception oftherelevanceofphysics.It'squitepossiblethatBeverly'sshiftincareerpathswouldhaveleft observablechangesinhermesosystem.Beverlyhadmanydiscussionswithherfamilyaboutthe dangersofbeinginasmallcarversusalargercariftherewereanaccident.SinceBLiSSphysics explicitlyhasthisscenarioasalabinvestigation,anotheravenuetopursuewouldbetounpack howthesemomentsinclassshiftedhowsheengagedinconversationswithherfamilyonthese topics.Anopenquestioniswhetherthesein-classactivitiesbecamerelevantinthesediscussions withfamily.Howdophysicsactivitiesaroundthedangersoftheworldimpactconversationswith familythatmayholddi˙erentviews? Inchapter4.2weexploredhowSam'sfriendshipswereasourceofconnectionsbetween physicsandhereverydaylife.Inherinterviews,sheremarksthatsheonlythinksofthesephysics conceptswhenshe'saroundspeci˝cfriendsorgroupswithcertainmajorslikeengineering.If werevisitedSamwithanecologicalsystemsviewandde˝neoursettingtobemorespeci˝cthan herpeernetwork,itwouldequipustoexplorehowdi˙erentfriendgroupscontributetoorhinder connectionstophysics.Itisnotunreasonablethatstudentswillhavedi˙erentpeerandsocial groupsthatful˝lldi˙erentneedsintheirlives;thisisanalogoustohowphysicscanbethoughtof ful˝llingneedsinstudents'lives.Understandinghowstudents'friendshipsimpacttheirsenseof relevancewouldaddanimportantlayertoourunderstanding. 7.2ThisworkrelativetothewaysPERhasreportedonrelevance Thisdissertationhasexploredthenotionofrelevanceandbuiltaframeworkwithwhichre- searcherscanmakemeaningful,holisticinterpretationsofstudents'viewsofrelevance.Idescribed howthisframeworkprovidesamuchmorecompletepictureofrelevancethanwhatattitudinal andepistemologicalsurveyscanmeasureanditmaintainsastrengths-basedviewofstudentability. 127 Thisworkisare-envisioningofthewayweconsiderandjudgetherelevanceofphysics.Previously, researchershavebeencertainofthewaysphysicsisrelevant,andhaveaskedstudentstoendorse thosestatements.Thoseendorsementsaretheninterpretedasvaluestatementsofstudents.Those thatagreewiththe"expert"viewsaresuccessesforacoursedesign,whilethosethatagreewiththe "novice"viewsaredeemedstudentsthatwerenotreachedwiththeinstruction.Surveyaftersurvey, yearafteryear,PERhasreportedandacceptedthefactthatstudents'beliefsaroundtherelevance ofphysicswillbenegativelyimpactedbyinstruction. Ourapproachquestionswhatispreviouslythoughttobewell-known,thatphysicsisrelevant forallstudents.Insteadofaskinghowthestudentfeelsaboutthepresumedtruththatphysicsis relevant,westartwithstudents'livesandexperiencesandaskwherephysics˝tsin.Ineachchapter wehavechallengedthewaysPERhasinterpretedorunderstoodstudents'viewsontherelevance ofphysics. InChapter4.1,weshowedhowphraseslike"realworld"arerelativelyabstract,andtobefrank meaningless.Inchapter4.2weshowwhatisrequiredforastudenttoconnectphysicstoeveryday experiences,anddemonstratetheimportanceofsupportnetworksinastudent'slife.InChapter5, weformalizedaprocesstoapproachtheexplorationofrelevanceanddemonstrateitsdescriptive powerinunderstandingtherelevantconnectionstwostudentsmake.Finally,inChapter6,we revisitthemainmotivatingpurposetoourentireenterprise.Throughacasestudy,were-assert how˝ndingrelevanceinadisciplineyouoncefearedcanbeatransformativeexperience. Throughoutallofthestudentexperienceswithinthisdissertationandtheothersnotdiscussed, themostimportantrealizationisthatstudents'outsideexperiencesmatter.Physicsinstructioncan nolongera˙ordtotreatthelearningofphysicsasbeingdistinctorspecial.Forstudentsmajoring inthelifescienceswhoneverplanonbecomingphysicists,itiscrucialthatinstructioninvites, integrates,andvaluestheirexperiencesforstudentstoregardanintroductoryphysicssequenceas morethanjustahurdletoovercomeonthepathtotheirmajor. Intheend,relevanceisnotastretchgoaloranextraconsiderationforthoselookingtobuild astrongerconnectionwithstudents.Relevanceisfarfromoptionalistheprimarychallenge 128 forphysicseducation.Asmajorprogramsincreasinglyquestionthevalueofarequisitephysics courseinthepreparationoftheirundergraduatestudents,physicsprogramsareatriskoflosing theirprimaryfundingmechanismeducationofnon-physicsmajors.Inservingtheneedsof thesestudents,itisnolongerdefensibletoplaninstructiondisconnectedanddetachedfromthe studentsintheclassroom.Relevanceisamechanismbywhichinstructorscanengageandmotivate studentsintheclassroom.Inalmosteverycasepresented,weseearecurrenceofapatterninwhich studentsrecallphysicsthroughkeymomentsofrelevance.Maria,Nicole,Sam,andMilesallhave relevantconnectionscrystallizedintotheirmemoriesthatremainpowerfultouchstonesasthey continuetheirjourney.Students'a˙ectivecharacteristicsarepartandparceloftheirexperience learningphysics.Throughthesefourcaseswehaveshownthatthereisaresiliencyofknowledge whenyoulearninanengagingwayandmakegenuineconnectionstoyourlife. Ifthecasespresentedwerenotsu˚cienttoconvincethereaderoftheseclaims,thesepatterns existamongstmanyoftheadditionalcasescollectedinthisprojectbutnotpresentedintheprimary chapters.AlisaandMelaniearemembersofaneuroscienceresearchgroupthatusesphysics conceptstostudyneuronsignalinginthebrain.Alisaemailedmetotellmeofallthephysicsshe isseeingandhowthecon-focalmicroscopytechniquesexploredinBLiSSarere-appearingduring herstudyabroadexperienceinEurope.Leslieisastudentwhowasinitiallyresistanttophysics becauseshefeltphysicsactivitiesoverlysimpli˝edthecomplexityofbiology.Afterleavingthe physicssequence,shestudiedelectricityproductionin˝shspeciesandsentanemailtodiscuss howshewillbelearninghowtoperformatechniquecalledqPCRinherresearchlabthatuses conceptsfromthesecondsemester.Thelistofcasestudentswhore˛ectontheirtimelearning physicspositivelyistoolongtodiscusseveninadissertation.Thesestudentsconsistentlyreach outtomementionthattheythoughtIwouldbeproudorexcitedtoknowabouttheconnections theywereseeing. ThisdissertationmayappeartobeoneofidentifyinganissuewithPER,constructingatheo- reticalframeworkinresponse,andshowingitsapplication.Thatisfarfromthewholestory;this dissertationisaboutthepowerofestablishingmeaningfulconnectionswithstudentsinaclassroom. 129 Treatingstudentsasbeingmorethannovicephysicslearnersandinsteadtreatingthemasknowers, providingspaceandtimeforstudents,andinvitingstudentsintoleadershiprolesintheclassroom arewaystotransformhowphysicsinstructionviewsitspurpose.Thepriorityisn'ttransmission ofpiece-mealknowledgeamarguingforare-imaginingofwhatitmeanstoteachphysicsto non-physicsmajors.Insteadofshowingthemwherethey˝tintothelandscapeofphysics,we shouldbeaskingwherephysicsmay˝tintotheirlives.Ifwerevisittheresolutionofthestory Isharedatthestartofthispaper,ofahighschoolphysicsstudentquestioningthepurposeof physics,we˝ndthattheanswerwasstaringatusallalong.WhenIhaveexhaustedallofmy logicalarguments,Ireliedonaskingherforafavor,relyingontherapportandrelationshipIhad builtintheclassroom.Physicscontinuestoservetheneedsofonlyaselectfewinoursociety; co-constructingrelevancewithstudentsbyinvitingtheirexperiencesintotheenterpriseoflearning physicsisareliablemechanismtonotonlyconveyknowledgebutovercomethetroublingand intimidatingperceptionofphysics. 130 CHAPTER8 IMPLICATIONS Thereadermaythrowtheirhandsupandwonderhowdi˚cultitwillbetopredicttherightcontext fortherightstudents.Planningforeverypossibilitycanbeanexerciseinfrustration.Tothis worriedreader,Iwanttoonceagainremindthemthattheclassroompracticespresentedinthis papermakethelifeofaninstructormuchsimpler.Yourchallengeisn'ttopredictorgatherstudents' interestsandplanactivitiesaccordingly.Yourchallengeistoletgoofcontrol,letgooftheidentity asthesoleexpert,andletgoofsu˙ocatingcontentcoverage.Letitallgo,andtrustthosestudents thatareinyourclassroom.Yourmainresponsibilityistoopenasupportivespaceforstudents tobringthemselvesinandconnecttotheiroutsideexperiences.Physicshasaperceptionissue forthoseoutsideofthedisciplineaswellasarepresentationissueforthoseinsidethediscipline. Invitingandsupportingstudentsfromoutsidethedisciplineindevelopingrelevancecanbeapath forwardinaddressingbothissuessimultaneously. Thisentiredissertationisane˙orttounderstandstudents'viewsabouttherelevanceofphysics. Theinterpretationsfromsurveysaroundtherelevanceofphysicshavefortoolongbeenastain onthereputationofphysicsstudents.Studentsarecapableandwillingtomakeconnectionsina physicsclassroomifgivenopportunityandguidance. InthefutureweplantoarticulatehowthedesignoftheBLiSSclassroompromotesstudent outcomesutilizingconjecture-mapping[68].Fornowwecandescribeaselectnumberofdesign elementsthathavefosteredstudentsbuildingstrongconnectionstophysicsandpromotingtheir viewsthatphysicsisrelevant. Mixedinstructionalteam Themembersoftheinstructionalteamconsistofavarietyofacademic titlesincludingfaculty,graduatestudent,andundergraduatelearningassistant(LA).Thishas createdmultiplelevelsofknowledgeandexperience.Weoften˝ndthatstudentsmaybehesitant toaskthefacultymemberaquestion;thepresenceofanLAhelpsmitigatethisissue.Inaddition, 131 mostofourLAsarenotmajoringinphysics,sotheinstructionalteamhasamixtureofdisciplinary expertisetodrawuponandconnectto. Avoidanceofsuper˝cialbiologicalcontexts WhendesigningoradaptingactivitiesforBLiSS, careistakentoensurethatactivitiesrepresentauthenticlinesofinquirythatarerepresentativeof theinterestsofbiologists.WedonotusesphericalchickensorcowsinBLiSSphysicsandinstead positionphysicsashavingatoolkitofrepresentationsandpracticesthatcanbeofuseinavarietyof contexts.Thisoftenmeansthatwecannotavoidbiologicalcomplexityandhavetomoveforward withargumentationandreasoningintheabsenceofacleananalyticsolution. Computationtotacklebiologicalcomplexity Throughoutthecourseweusecomputational activitiestohelpstudentsanalyzeandvisualizecomplexphenomenathatwouldnotbepossibleby hand.Weusetheseopportunitiestoconnecttocomputationalbiologicalmodelsthatincreasingly representmodernbiologyresearch. Courseimplementationisresponsivetostudenta˙ect ItisnotanaccidentthatBLiSSphysics isnamedafteranemotion.Attendingtostudenta˙ectisacentralpremiseofteachingBLiSS physics.Students'a˙ectiveresponsestoactivitiescanimpactday-to-dayplanningasactivity sequencesareextended,short-circuited,ormodi˝ed.Atmanypointsinthecoursewearefaced withmultipleoptionsofequallyfeasibleactivitiestorun.Oftenthischoiceisdiscussedinterms oftheclassclimateoverall.Atypicalconsiderationwouldgoasfollows:Shouldwedothelab activitythatworksverywellatgivingstudentscleanintuitiveresults?Orshouldwedotheactivity thathaslessdirectlead-intothenextunitbuthashistoricallycausedstudentstoeruptinjoy?The instructionalteamputsaheavyemphasisonacknowledgingfrustrationsandcelebratingsuccesses asbeingpartoftheteachingpractice.Throughoutthein-classexperiencespresentedinthepaper youwillnoticeinstructorandLAteachingmovesfocusedonpositivelysupportingstudents'a˙ect. 132 Studentspositionedasexpertsintheroom BLiSSphysicsemphasizesknowledgeconstruction throughargumentationandconsensus-building.Studentsareencouragedtobringintheiroutside expertiseandthecoursehastimeandspacebuilt-intoallowforstudentstoshare.Settingasidetime toallowforstudentstosharetheirexpertisecomesatthecostofcontentcoverage;wedonotattempt tocovereverytopictraditionallytaughtina˝rstsemesterphysicscourse.Weattempttofocuson areasofphysicsthathavegreatoverlapandrelevancetothelifesciences.Thisdesignelementis perhapsthehardesttoimplementbecauseitrequiresthepossibilitythatthefacultymemberdoesn't knowalltheanswers.Infact,weseethisasastrengthofthedesign.Studentsrecognizingthat theyauthenticallycontributetothesharedknowledgeisapowerfulmediatorofrelevance.Maria, Nicole,andMilesallhavemomentsinwhichtheiroutsideknowledgecontributestoarichershared understanding. Ifwecanfocusonexperiencestopromotestudentsbelievingphysicsisrelevanttothem,we mayseetheproblematicpublicimageofintroductoryphysicsclassroomsdestroyed.Asmoreand morestudentsbelievethatphysicsisrelevanttotheirlives,physicscanperhaps˝nallygiveup itsprizedstatusasbeingdistinctfromor"purer"thanotherdisciplinesandbecomejustoneof many˝eldstopursue.Ifwereformourclassroomstobespaceswherestudentsfeelwelcomedand valued,thereisnolimittothetransformationswewillseeasstudentsentertheworldequipped withatoolkitofphysics. 133 APPENDICES 134 APPENDIXA REAL-TIMEVISUALIZATIONOFEQUIPOTENTIALLINESUSINGTHEIOLAB Thispaperrepresentsanexampleofthecross-pollinationthatoccurswhenresearchandcurriculum designimpacteachother.ThisactivitywasdesignedintheseconditerationofBLiSS,anditwas ane˙orttoimplementamodi˝cationofacommonlyusedexplorationofequipotentiallines.The impactsnotedinthestudentquotesaswellasfrominterviewsyettobepublishedsignaltousthatthis wasameaningfulexperienceformanystudentsbecauseitwasintuitivetothem,easytoapproach, usedcommonlyfoundmaterials,andgavestudentsresponsiveandaccuratedata.Activitieslike thisoneareexamplesofclassroomexperiencesexplicitlydesignedtoengagestudentsandpromote positivea˙ectiveresponses. 135 136 137 138 APPENDIXB COURSEQUESTIONNAIRE Startingonthenextpage,weincludethequestionnairegiventostudentsatthestartofthe2017 Fallsemester.Thegoalsaretolearnaboutstudents'disciplinaryinterests,futurecareers,and disciplinaryexperiences.Italsoasksstudentstoself-reporttheirlevelsofpreparationandanxiety astheyheadintoourcourse.ThequestionnairewasinitiallydesignedinMSU'sLON-CAPAsystem inthe˝rstyearbutwasmodi˝edandimplementedinQualtricsfortheseconditeration. 139 140 141 142 143 144 145 146 147 148 APPENDIXC ELASTICCOLLISIONIN1-DIMENSION 149 150 APPENDIXD MODELINGCHEMICALREACTIONS-HANDOUT 151 152 APPENDIXE MODELINGCHEMICALREACTIONS-MINIMALLYWORKINGPROGRAM 153 154 155 156 157 APPENDIXF 3DCOLLISION:KEEPINGPARTICLESINABOX-HANDOUT 158 159 APPENDIXG 3DCOLLISION:KEEPINGPARTICLESINABOX-MINIMALLYWORKING PROGRAM 160 161 162 APPENDIXH 3DDIFFUSION:TRACKINGPROTEINS-HANDOUT 163 164 APPENDIXI 3DDIFFUSION:TRACKINGPROTEINS-MINIMALLYWORKINGPROGRAM 165 166 167 168 169 APPENDIXJ INSANEINTHEMEMBRANEPART1:OIL&WATER 170 171 172 APPENDIXK INSANEINTHEMEMBRANEPART2:LIPIDBILAYERS 173 174 175 APPENDIXL TRANSCRIPT:MARIAINTERVIEW1 176 177 178 179 180 181 182 183 APPENDIXM TRANSCRIPT:MARIAINTERVIEW2 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 APPENDIXN TRANSCRIPT:MARIAINTERVIEW3 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 APPENDIXO TRANSCRIPT:MARIAINTERVIEW4 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 APPENDIXP TRANSCRIPT:MILESINTERVIEW1 259 260 261 262 263 264 265 266 267 APPENDIXQ TRANSCRIPT:MILESINTERVIEW2 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 APPENDIXR TRANSCRIPT:MILESINTERVIEW3 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 APPENDIXS TRANSCRIPT:MILESINTERVIEW4 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 APPENDIXT TRANSCRIPT:NICOLEINTERVIEW1 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 APPENDIXU TRANSCRIPT:NICOLEINTERVIEW2 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 APPENDIXV TRANSCRIPT:NICOLEINTERVIEW3 428 429 430 431 APPENDIXW TRANSCRIPT:SAMINTERVIEW1 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 APPENDIXX TRANSCRIPT:SAMINTERVIEW2 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 BIBLIOGRAPHY 469 BIBLIOGRAPHY [1] AAMC-HHMI, Scienti˝cFoundationsforFuturePhysicians ,2009. 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