v..y—'-———v—V_.. v *— AN INVESTIGATION OF THE EFFECTIVENESS OF TWO METHODS OF STUDENT RESPONSE USING A TAPED PROGRAM OF PRACTICE MATERIALS FOR IMPROVING AURAL DISCRIMINATION Thesis fothe Degree cf Ph. D. MICHIGAN STATE UNIVERSITY Rex J. HewIeH_ I966 mes"? This is to certify that the thesis entitled AN INVESTIGATION OF THE EFFECTIVENESS OF TWO METHODS OF STUDENT RESPONSE USING A TAPED PROGRAM OF PRACTICE MATERIALS FOR INPROVING AURAL DISCRIMINATION presented by Rex J Hewlett has been accepted towards fulfillment of the requirements for Eh ID . degree inJuiL WWW/WM Major r--‘ ----- Datem 0-169 I l I ABSTRACT AN INVESTIGATION OF THE EFFECTIVENESS OF TWO METHODS OF STUDENT RESPONSE USING A TAPED PROGRAM OF PRACTICE MATERIALS FOR IMPROVING AURAL DISCRIMINATION by Rex J. Hewlett In the fall of 1965, an experimental study was con- ducted with part of the freshman theory classes at Central Michigan University. Purposes of the study were to: 1. Determine if improvement in aural discrimination would be greater if the practice response to an aural stimulus was played rather than written. Learn if sight-singing progress would be greater if the dictation practice response mode were played rather than written. Study the relationship of these two types of practice on improvement in error detection type of dictation. Determine the effect of previous keyboard training on the two practice methods. Examine the relationship or the response mode to high and low beginning levels of aural perception. Observe any interaction between scholastic aptitude and (a) achievement in aural perception, and (b) the practice response mode. 1. Rex J. Hewlett Procedures A set of dictation exercises was developed, printed, and recorded on magnetic tape. Dictation and sight—singing tests were devised to serve as pre— and post-tests. The study population was tested and divided into two equated groups which were then randomly assigned to the two practice methods. The experimental group played all responses at the keyboard; the control group used the tradi- tional written response. The resulting statistics were analyzed by rank order correlations and Mann—Whitney U tests. The 5 per cent level of confidence was estab- lished as the significance level for the study. Results Nosignificant difference was found between the two practice methods for overall dictation improvement. No significant difference in improvement in sight-singing resulted from the two methods of .practice. Significant difference in favor of the experi- mental group occurred in error detection dictation. There was no significant relationship between the two methods of practice and previous keyboard experience in overall dictation improvement. Rex J. Hewlett In error detection significantly greater improve— ment was shown by experimental group students with previous keyboard experience. No significant difference existed between practice methods for the non-pianists. Pre-test dictation score relationships with the improvement resulting from the two practice methods were not significant. A tendency was noted for control group improvement to be greater for those with low pre-test scores whereas experi- mental group improvement was greater for those with high pre-test scores. Scholastic aptitude was a significant factor in dictation improvement for the control group but not for the experimental group. Conclusions The played response is a useful ear-training practice technique and should be added to the several existing practice methods. Students who have piano background may find the played response very helpful, especially in the area of error detection. Further study of the relationships between extreme initial levels of perception and the method of response was recommended. Rex H. Hewlett The relationship between scholastic aptitude and the two methods of practice seemed worthy of further study. The need for more sophisticated equipment for individual and laboratory classroom use was recognized. AN INVESTIGATION OF THE EFFECTIVENESS OF TWO METHODS OF STUDENT RESPONSE USING A TAPED PROGRAM OF PRACTICE MATERIALS FOR IMPROVING AURAL DISCRIMINATION By Rex J. Hewlett A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Music 1966 I . "gr-T" I“ .’.' .‘ ’ ll ’1’ , ,‘I I, x —. / ACKNOWLEDGMENTS I am indebted to the members of the guidance committee: Dr. Richard Klausli, Dr. Merrell Sherburn, Dr. Robert Sidnell, and Dr. William Sur, for valuable assistance in this study. Special acknowledgment is due to Dr. Sherburn, who gave invaluable assistance in the development of the experimental ideas and the programed materials, and to Dr. Sidnell for his help in the statistical design and preparation of the final report. I am grateful to Dr. Sur, chairman of the com— mittee, for continued encouragement and helpfulness throughout the work before and during the research period. 11 TABLE OF CONTENTS ACKNOWLEDGMENTS LIST OF TABLES LIST OF FIGURES Chapter I. INTRODUCTION . . . . Experimental Hypotheses The Experiment Importance of the Study II. ORGANIZATION OF THE STUDY . . . . . . Development of the Program Materials Development of the Practice Materials Sampling Procedure Experimental Controls Other Controls Evaluation Procedure Student Procedure Problems of the Study III. RESULTS AND ANALYSIS OF EXPERIMENTAL DATA. Hypotheses Summary IV. CONCLUSIONS, RECOMMENDATIONS AND SUMMARY . Implications for Teaching Recommendations for Further Study Summary BIBLIOGRAPHY . APPENDICES A. PRACTICE MATERIAL OF THE STUDY B. DICTATION AND SIGHT-SINGING TESTS iii Page ii iv 1“ 36 55 68 71 117 Table 10. ll. 12. 13. 1A. 15. l6. 17. LIST OF TABLES Series A-Order of Interval Presentation. . Series B-Order of Presentation of Time Patterns. Series C Program . Control Factor Scores of Study Population . Mean Scores of the Total Population . . . Mean Scores of the Experimental and Control Groups . . . . . . . . . . Student Practice Procedure . . . . . . . Pre-test and Post-test Overall Dictation Scores . . . . . . . . . Pre-test and Post-test Error Detection Scores. Pre-test and Post-test Written Dictation Scores . . . . . . . Dictation Pre-test and Post-test Scores According to Keyboard Training Groups . . Error Detection Gain Scores for Pianists and Non-pianists o o o o o Dictation Gain Scores for Students with High and Low Dictation Pre-test Scores . Pre-test and Post-test Sight-singing Scores Comparison of Dictation Gain and A.C.T. Scores Dictation Gain Scores for Students with High and Low A. C. T. Scores . . . . . Pre-test, Post-test Rhythm Scores. . iv Page 19 20 21 2A 25 25 31 38 39 Al A3 45 A7 A9 51 52 53 LIST OF FIGURES Figure Page 1. Relationship of per cent gain scores in dictation to high and low dictation pre-test scores . . . . . . . . 62 CHAPTER I INTRODUCTION The development of latent sensitivity to musical“ sound has long been accepted as fundamental in the train- ing of a musician. Schools of music have provided for this development through the music theory curriculum, which has traditionally included classes in written theory, sight- singing and ear-training. Contemporary pedagogical prac- tice often combines these areas into one integrated course in musicianship. In such integrated theory courses, Murphy recognizes six basic areas which should be considered: (1) writing, (2) playing, (3) reading, (A) listening, (5) analyzing, and (6) creating. He stresses that "listening is undeniably the sole basis of musical activity."1 The aspect of musical listening which involves dis- crimination between pitch and rhythm-~i.e., ear-training, has been the subject of considerable attention which in recent years has resulted in a number of new training approaches. Such attention to this aspect of musical growth is understandable if one considers that, in addition to its necessity for adequate muSical performance, listening 1Howard A. Murphy, Teaching Musicianship (New York: Coleman-Ross Company, Inc., 1962). 1 is of prime importance in all aspects of music teaching. The private teacher as well as the conductor of musical organizations must have an acutely developed sense of aural discrimination. The traditional classroom ear-training process in A which the teacher plays exercises in melodic, rhythmic, or harmonic dictation at the keyboard while the student listens and then attempts to notate what he has heard, is a slow and laborious procedure. The results are often questionable, particularly for the upper and lower extremes of the class. The gifted students are forced to drill in areas in which they may already be capable of satisfactory work; the students with little facility in dictation may receive in- sufficient practice for achievement of satisfactory results. An essential largely missing from this traditional dictation procedure is the element of immediate reinforce— ment or feedback. The importance of such reinforcement in the learning process has long been recognized and it is the basis for contemporary programed instruction techniques. In discussing response and reinforcement, Lumsdaine writes: The function of feedback or correction/confirmation following the student's response is closely related to the role that the response itself is conceived to have, and also to the degree of prompting prior to responding. . . . The first function is that of reinforcement in the sense of reward, presumed to strengthen the benefits of immediately preceding responding. The second function is that of providing prompts or cues for an additional implicit response, which may supercede, repeat, or fill in, at a covert level, the immediately preceding response depending on whether that response was, respectively, in error, correct, or lacking.1 This second function of reinforcement is that which, in addition to rewarding the student with the knowledge of the response correctness, actually operates as a supple- mental informational source. It might be considered "directional" reinforcement which in the case of musical stimulus-response procedure would involve (a) information about an incorrect response, whether it was too high or too low, too long or too short, and (b) a "negative reward" for incorrect responses so that practice of errors would not be continued. In their generalizations of the rein- forcement theory, Lysaught and Williams call this kind of reinforcement "differential reinforcement." Some of their conclusions are: 1. An individual learns or changes the way he acts by observing the consequences of his actions. 2. Consequences that strengthen the likelihood of rep- etition of an act are called reinforcements. 3. The more quickly reinforcement follows the desired performance, the more likely the behavior will be repeated. 0 O O O O 0 O o o o o e O I 7. The learning behavior of a student can be developed or shaped gradually by differential rein- forcement--that is, by reinforcing those behaviors which should be repeated and by withholding rein- forcement following undesired acts. 1A. A. Lumsdaine (ed.), Student Response in Programmed Instruction (Washington, D. 0.: National Academy of Sciences, National Research Council, Publication 9A3), Chapter 31. 2Jerome P. Lysaught and Clarence M. Williams, A Guide to Programmed Instruction (New York: John Wiley and Sons, Inc., 1963), Chapter I. A possible implication from the above ideas is that, in the development of aural perception, the reinforcement might be stronger if the reSponse was one which could be heard and compared aurally with the stimulus sounds. In this process the student would be bypassing the notation in favor of the actual sounds. This could conceivably result in an extinguishing process if the student were motivated, through hearing a distasteful sound, to correct his erroneous response. Similarly this kind of overt, sounded response could have a built-in prompting value through the recognition of a too high or too low response. While the written response can also indicate, through comparison with the correct notation, whether the response is too high or too low, the inherent learning which could prevent a similar error on subsequent occasions, may not be as strongly present as it might be in the sounded response. This possibility would seem to be worthy of further consideration. Considerable study has been directed toward learning the importance of the time lapse between the response and the knowledge of the correctness of that response. Ihrke comments on this aspect of reinforcement as it relates to the response mode as follows: It is important to point out that the write-in re- sponse does not provide immediate or even accurate feedback, since it requires at least ten seconds to write and compare with the correct model. If this visual comparison indicates that an error has been made, it is still not known whether the student heard correctly and wrote an error, or whether he heard incorrectly and wrote the misinformation correctly. Another problem . . . concerns the student's capability in reading the correctness or incorrectness of the response . . . If the response consists of writing a check mark in a box, the comparison with the correct answer is simple. But if he is asked to HEAR the differ- ence between his erroneous response and the correct one, this may be considerably more com- plicated, and require of him a proficiency and ability which he at that moment does not possess. l The search for improved ear-training techniques which could provide needed reinforcement has resulted in a variety of self-help systems. One of these is the use of the tape recording and disc recording for the presen- tation of stimuli for individual practice in dictation. This technique has been accepted as a useful tool in many schools of music. As early as 1949 studies using tape recorded materials for ear-training practice were conducted by Cookson at Northwestern University. His comparisons of students practicing with conventional classroom ear- training procedures and those using tape recorded drill materials indicated the potential value of the latter technique.2 Sherburn prepared an extensive set of taped materials and developed effective procedural techniques which, over 1Walter R. Ihrke, "Trends in Music Education Research," Council for Research in Music Education, Bulletin No. 2 (Urbana, Illinois: University of Illinois, 196“), p. 30. 2Frank B. Cookson, Recordings and Self—tutoring (Cleveland, Ohio: The Brush Development Company, 19A9). a period of years, have been proven to be valuable in the improvement of aural discrimination. The practical value of these teaching devices is clearly demonstrated by his use of language laboratory facilities to provide practice opportunities for large numbers of music students.1 Spohn discovered that melodic dictation students who used tape recorded teaching materials for individual prac- tice showed a 22.65 per cent greater decrease in errors in dictation than those in the typical classroom situation.2 In a similar study Carlsen found significant differ- ences in favor of the group using the taped, programed materials and in a "side-effect" study he observed the progress of the two groups for improvement in sight-singing.3 While the statistics indicated that the use of his materials did not significantly affect the improvement of sight- singing, subsequent evaluations by the theory teachers did show a favorable relationship for the experimental group. Further study of this problem was recommended. Such studies were instrumental in establishing the programed self-help materials as valid instruments of lMerrell L. Sherburn, "Music in the Language Labora- tory," Music Educators Journal, January, 196“, 109-110. 2Charles L. Spohn, "An Exploration in the Use of Recorded Teaching Material to Develop Aural Comprehension in College Music Classes" (unpublished Ph.D. dissertation, Ohio State University, 1959). 3James C. Carlsen, "An Investigation of Programmed Learning in Melodic Dictation by Means of a Teaching Machine" (unpublished Ph.D. dissertation, Northwestern University, 1963). learning. Other research has been directed toward dis- covering effective methods of presenting stimuli to the student and the effectiveness of various modes of student response. To this end a number of electronic devices have been developed which may prove useful in presenting aural practice stimuli and in providing immediate knowledge of response correctness. Some of these are adaptations of the tape recorder; others combine the tape recorder with other devices in more intricate, though not always practical, arrangements. An intonation training device was used by McQuerrey in an attempt to improve sensitivity to interval intona- tion‘.l Ihrke describes experimental studies in which stu— dent responses to notated rhythms were matched with an in- audible signal on a two-track tape. Immediate reinforcement was provided by flashing lights when errors occurred.2 Spohn carried out a four—pronged study of stimulus and response mode combinations. Combinations used were: (1) visual stimuli-written response, (2) visual stimuli- oral response, (3) aural stimuli-written response, (A) aural stimuli-oral response. The results of this study indicate 1Lawrence H. McQuerrey, "The Improvement of Sensitivity to Interval Intonation Through Training With A Mechanical Apparatus" (unpublished Ph.D. dissertation, Indiana University, 1957). 2Walter R. Ihrke, "Automated Music Training," Council of Research in Music Education Bulletin No. 2 (Urbana, Illinois: University of Illinois, 196A), p. 6. that the student response mode is sometimes more important than the method of presenting the stimulus. While all four of the combinations were determined to be effective methods of practice, Spohn concluded that different methods may be helpful to different people. Similarly it appeared that one method was best for a certain task while a differ- ent one would be more effective for a second area of learning.1 If this diversity of usable practice techniques is desirable, it would seem logical that research studies be directed toward finding: (1) as many practical techniques as possible which could be helpful to students in their attempts to improve their aural perception, and (2) the techniques which are most helpful for particular students working with a specific musical element. One technique which has been proposed as a useful method for individual practice is a played response to an aural stimulus. In considering the played response as a subject for possible research, several questions arise. l. Might there be strong reinforcement of learning from hearing the response as'it is played, and from the immediacy of the response? Spohn concluded that a sung response is an effective method of improving aural comprehension; perhaps the 1Charles L. Spohn, "An Evaluation of Two Methods Using Magnetic Tape Recordings for Programmed Instruction in the Elemental Materials of Music" (final project report, Prgiect 1407, Research Foundation, Ohio State University, 19 . . effectiveness stems from the actual hearing of the response rather than simply seeing it; perhaps temporal proximity is a factor since knowledge for the correct— ness of the response is possible within the response action itself. 2. Will the definite physical activity involved in the played response provide a keyboard image which could assist in the learning process? Langsford, investigating the effects of varying amounts of practice on improvement of aural comprehension, observed the superior results for pianists and theorized that Knowledge of the piano keyboard and its associa- tive value with certain pitches--i.e., mental imagery of the keyboard while taking melodic dictation may be of considerable value to some students of melodic dictation. If this theory is valid it leads logically to the conclu- sion that a played keyboard response would provide this helpful keyboard image. 3. Will such an image prove helpful in sight- singing progress? A. Will such practice be practical for students without previous experience at the keyboard? 5. Will the student hear his incorrect response and will hearing it enable him to be more accurate in subsequent dictation situations? 6. Will written dictation suffer from a program consisting of keyboard practice exclusively? lHarry Langsford, "An Experimental Study of Effect of Practice Upon Improvement in Melodic Dictation" (un- published Ph.D. dissertation, Michigan State University, 1959 . lO 7. Is the keyboard response technique a practical one? While the electronic devices mentioned previously as being capable of providing immediacy and accuracy of reinforcement are still in the developmental stage and not readily available, the piano is already in general use in the keyboard phase of theory classes. Its practical value in terms of general use and availability is obvious; the technique of procedure would have to be worked out. In consideration of the importance of the above questions it seemed advisable to devise an experimental study to: (a) develop a technique of keyboard response practice and (b) investigate the usefulness of such a technique. Statement of the Problem Can a programed course in dictation, using tape recorded stimuli and played responses at the keyboard, along with only a minimal basic practice in written responses, be more effective in teaching aural discrimin- ation than the same programed materials using only written response techniques? Specific Questions for Investigation 1. Will a played response develop aural discrim- ination as effectively as a written response? 2. Will sight-singing be favorably affected if the student practices a played response instead of a written response? 11 Experimental Hypotheses In the form of hypotheses the questions are: 1. Improvement in aural discrimination will be significantly greater when the practice response to an aural stimulus is played than when it is written. 2. Sight-singing progress will be significantly greater when the dictation practice response mode is played than when it is written. Other Questions Additional questions which will be considered in this study are: 1. Will the played response be a more effective practice method for error detection or corrective dictation than the written response method? 2. What effect will previous keyboard training have on the use of the keyboard response method? Can a non-pianist make effective use of the key- board response technique? 3. Does the response mode exert any significant influence on the improvement of aural discrimi— nation for students whose pre-test dictation scores are at the extreme high and low ends of the scale? A. What interaction exists between scholastic aptitude and (a) achievement in aural perception, (b) response method in training aural perception? The Experiment An experimental design was developed in which two groups of students were established and pre-tested. The sampling process is described in Chapter II. The experi- mental group practiced with a prepared set of tape recorded exercises. Their reSponses to the recorded stimuli were played back at the piano keyboard. Feedback was possible 12 in two ways: (a) an aural comparison of the played response with a second presentation of the stimuli, and (b) comparison of the response with a printed sheet of correct reSponses. The control group used the same set of materials but constructed written responses in the traditional manner of dictation practice. Reinforcement for this group consisted of a comparison of the response with a printed sheet of correct answers. At the conclu- sion of the experiment the two groups were tested again and compared statistically for improvement in aural com- prehension. A complete description of experimental procedures and the resulting data appears in Chapters II and III. Importance of the Study Presently accepted techniques of practice in ear- training have not completely satisfied the needs of all students who wish to study music. It has been recognized that a generalizing of results of a particular practice technique, while perhaps desirable, is not completely possible and that research is needed to discover the par- ticular methods of practice which will be valid and practical for students with particular needs. Lumsdaine emphasizes the importance of studying the response factor in learning when he states that Student responses and the techniques by which they may be suitably controlled for effective learning are of both practical and theoretical interest. 13‘ Their role in any systematic account of learning is of central importance.1 This study might answer the question of whether the played response would satisfy this kind of need in a practical manner. 1A. A. Lumsdaine, "The Analysis of Student Response as a Factor in Instruction," Student Response in Programmed Instruction (Washington, D. 0.: National Academy of Sciences-National Research Council, 1961), Chapter I. CHAPTER II ORGANIZATION OF THE STUDY Development of the Program Materials The basic concepts which guided the development of the materials for this experiment were: 1. Aural perception can be effectively strengthened through the use of tape programed practice materials. 2. Practice exercises for improving aural pitch perception can be presented effectively through iso—rhythmicetone patterns. 3. Rhythm perception can be as effectively improved through exercises presented in a melodic context as in exercises presented on a single repeated tone. 9. Error detection is a valid technique for evalu- ating the development of aural discrimination. That taped programed materials can be effective practice tools has been demonstrated by several observers as noted in Chapter I. Presenting exercises in pitch perception through iso—rhythmic tone patterns is a well established practice. Various sight-singing and dictation manuals using this type of exercise have proven their usefulness through actual practice. At least one experimenter, Reeves, in 195A dis- covered that there is no significant difference in progress 14 15 in development of pitch perception if training material is of the drill type instead of actual melodies.l Admittedly the placing of time patterns in a melo- dic framework would not present a purely rhythmic exercise and might tend to distort statistics in this area; however, there were other considerations for this study. Since the ultimate goal of this type of research is the development and testing of materials and techniques which might be useful in actual teaching situations, the recognition of the strong practical interrelationship between rhythm and melody justified the use of rhythm within some melodic pattern. This interrelationship seems more evident when listening to isolated rhythmic structures than when hear- ing isolated tone patterns. Other considerations were the difficulty of playing repeated tones at the keyboard, particularly for the non- pianist, and the tendency of repeated single tones to create unfavorable attitudes in listeners. In an informal study made earlier by the writer, students were found to react more favorably to each of several other techniques of presenting rhythm than to repeated single tone presen- tations. 1William Reeves, "An Exploratory Study of Two Sets of Theories of Guthrie and Wheeler as they Relate to the Development of Instrumental Musicianship" (unpublished Ph. D. dissertation, University of California, 195A). 16 Murphy notes that error detection or "corrective listening" dictation is a useful type of practice. It is organized on the principle that one of the most practical uses of aural sensitivity is the detection of errors in music heard. This is a perfectly reasonable assumption which has many implications for teaching. Obviously conductors constantly are required to do this very thing in rehearsals, but it also applies with equal validity to any musician who is called upon to make decisions involving the eye versus the ear, 1 as for example, the teacher of applied music . Development of the Practice Materials It was decided that the study should be limited to three areas: pitch, rhythm, and complete melodic dicta- tion. Three series of exercises, one for each of the areas to be studied, were written and recorded on magnetic tape. Each series consisted of fifteen tapes approximately twenty minutes in length. Series A exercises were iso-rhythmic tone patterns. The exercises progressed from the intervals believed to be least difficult to hear, within a tonal context, to the more difficult ones and from short three-note patterns to a maximum of eleven notes. Research studies regarding the difficulty of hearing intervals are contradictory. Spohn observed that a cer- tain order of difficulty prevails as follows: P8, M2, m2, 1Howard A. Murphy, Teaching Musicianship (New York: Coleman-Ross Company, Inc., 1962), p. 73. 17 M3, PA, P5, M6, M7, m3, AH, m7, m6, progressing from least difficult to most difficult.1 In an earlier study, Ortmann concluded that training in interval hearing should proceed from small to large intervals.2 More recently, Jeffries discovered that drill- ing on intervals of increasing difficulty did not produce better results than from a randomized order.3 In the absence of established guidelines it was arbitrarily decided that the order of presentation of intervals would be: M2, m2, M3, m3, P5, P8, PA, M6, M7, m6, m7, AA. Consideration for the non-pianists and the need for basic simplicity prompted the decision to use the. major keys of C, F, G, and D for the majority of exercises. It was thus possible to avoid difficult and awkward finger— ings and at the same time guard against the possible limiting effects of an exclusive C major orientation. It will be noted in Tables 1, 2, and 3 that the keys of Eb and A major and a, c, d, and e minor were used in the higher 1Charles L. Spohn, "An Evaluation of Two Methods Using Magnetic Tape Recordings for Programmed Instruction in the Elemental Materials of Music," Project 1097 (Research Foundation, Ohio State University, 1964), p. 13. 2Otto Ortmann, "Some Tonal Determinants of Melodic Memoz%," Journal of Educational Psychology, XXIV (1933), 5" 7o 3Thomas Broad Jeffries, "The Effects of Order of Presentation and Knowledge of Results on the Aural Recog- nition of Melodic Intervals" (unpublished Ph.D. disserta- tion, University of California at Los Angeles, 1965). 18 tape numbers of the series when students had gained greater facility at the keyboard. Table 1 shows the progressive nature of interval use, clefs and keys in Series A exer- cises. Series B exercises were limited to practice in rhythm perception. As noted earlier, all exercises were presented within the same melodic framework; the first five tones of the major scale were selected as a suitable grouping. Table 2 shows the rhythmic progress schedule for Series B exercises as well as the clef, key and meter involved in each exercise. It will be noted that only the last three tapes of the series made use of a specific meter; the others were simply rhythmic patterns without concern for pulse accents. Practice exercises in Series C combined pitch and rhythm in complete melodic dictation. All materials used in Series A and B were included in Series C exercises._ The program for Series C is shown in Table 3. The entire set of exercises which made up the three taped series is shown in Appendix A. Samplipg Procedure The population of this study consisted of students in first year music theory classes at Central Michigan University. Three laboratory sections were involved, two of which were taught by the experimenter; the other by a 19 TABLE 1 SERIES A-ORDER OF INTERVAL PRESENTATION TAPE CLEF KEY M2 m2 M3 m3 P5 P8 Pu M6 M7 m6 m? A“ 1 G” c x x 2 G G,D x x 3 G C,F x x x x u G/F G,C. x x x x 5 G/F F,D x x x x x X 6 G/F F,G x x x x x x 7 - ' G C,F x x x x x x x 8 F G,D x x x x x x x 9 G c x x x x x x x x 10 G F x x x x x x x x 11 G G x x x x x x x x x 12 G a x x x x x x x x x x x x 13 G/F d x x x x x x x x x x x x in G/F F,e x x x x x x x. x x x x x 15 G c,Eb x x x x x x x x x x x x “The G or treble clef and F or Bass clef are the only clefs used throughout the study. 20 TABLE 2 SERIES B-ORDER OF PRESENTATION OF TIME PATTERNS Tape Number Time Patterns I l 2 3 A 5 6 7 8 9 10 ll 12 13 l“ 15 Whole units x x x x x x x x Simple division x x x x Dotted quarters x x Syncopation x x x Compound division x x Unit subdivision Dotted sixteenths 3-u meter 6-8 meter 9-8 meter Key GCDAGCFG Clef g f g f g f g g x X X X X X X X 21 o m o w o m o c o m a w o mom x x x hopes mum x x x x x hopes an: x x x popes 31m x moves a: x scena>aolnzm x x x x nowma>fio 02509800 x x x x x x codenaoocmm x x x x x x mono: hounded coupon x x x x x x x x coamfi>fiv manefim x x x x x x x x x x x x x moans macs; x x x x x x x :< x x x x x - we x x x x M x x x x me x x a: x x x x x x x x x w: x x x x x x x x x x x x x am x x x x x x x x x x mm x x x x x x x x x x x mm x x x x x x x x x x x x x me x x x x x x x x x x x x x m: x x x x x x x x x x x x x me x x x x x x x x x x x x x m: ma :H ma NH Ha 0H m m u m m a m nonesz onus Espznm a mam>popCH S