Cité 3 fois — geometry (G) 63 Figure 3 be alone, being a perfectionist); general aptitude test scores (verbal,
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Factors of mathematical aptitude - CORE
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INFORMATION TO USERS
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74-580
TAYLOR, Christine Leigh, 1944-
FACTORS
OFMATHEMATICAL
APTITUDE. Iowa
StateUniversity, Ph.D., 1973
Education, psychology University Microfilms, A XEROX Company, Ann Arbor, Michigan THIS DISSERTATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED.Factors of mathematical aptitude
byChristine
Leigh Taylor
ADissertation
Submitted
to theGraduate
Faculty
in Partial Fulfillment of TheRequirements
for theDegree
ofDOCTOR
OFPHILOSOPHY
Major: Education (Evaluation)
Approved:
InCharge
of Major Work For theGraduate
College
IowaState University
Ames, Iowa1973 Signature was redacted for privacy.
Signature was redacted for privacy.
Signature was redacted for privacy.
ii TABLE OFCONTENTS
PageINTRODUCTION
1 REVIEW OF LITERATURE
6 Theoretical Background 6 ATI Studies 8 Variables Related to Math Achievement 11 Studies Related to Algebra and
Geometry 26 Summary
29 METHODS
31 Subjects 31 Instruments and Variables 32 Validation of the Problem Solving Test 36 Design and Analysis 38 Data Collection 40 Assumptions and Limitations 41 RESULTS 43 Data Reduction 43 Interrelationships of Variables
49 Design I. Factors of Mathematical Aptitude 49 Design II. Aptitude-Treatment Interaction 58 Summary 72
iii PageDISCUSSION
AND CONCLUSIONS 73 Correlations Between Variables
73 Indicators of Success 75 Factors of Mathematical Aptitude
76 ATI 77 Implications for Education 78 Recommendations for Further
Study 81 BIBLIOGRAPHY
82 ACKNOWLEDGMENTS
92 APPENDIX A.1;
MULTI-APTITUDE
TEST 93 APPENDIX A.2: TEACHER RATING FORM 109 APPENDIX A.3; EDWARDS PERSONALITY INVENTORY 110 APPENDIX A.4: PROBLEM SOLVING TEST 120 APPENDIX
A.5: SEMANTIC DIFFERENTIAL INTEREST INVENTORY 128 APPENDIX A.6: CONTENT VALIDITY STUDY OF PROBLEM SOLVING TEST 134 APPENDIX B: TABLES 135
iv LIST OFTABLES
Page Table 1. Summary of studies with variables related to math achievement12 Table
2. Design I: Stars and nonstars 39 Table
3. Design II: Algebraic stars and geometric stars 40 Table 4a. EPI scale intercorrelations 44 Table 4b. EPI factor loadings 44 Table 5. Rotated EPI factor loadings 45 Table
6. Factor loadings from the SDII 47 Table 7. Order in which significant predictors entered the regression
50 Table 8a. Legend for variables in study 54a Table 8b. Mean differences among groups on predictor variables 54b Table 9. Relative contribution to regression and order of predictors 59 Table 10. Mean differences between treatments on aptitude measures 61 Table B.l.
Description
of sample by school and sex 136 Table B.2. Description of sample by parents' education level 136 Table B.3.Description
of sample byparents' socioeconomic status (SES) 137 Table B.4. Comparison of sample to nonparticipants 138 Table B.5.
Distribution
of sample by math grade point average (MGPA) and. teacher rating (TR) 139 Table B.6.Distribution
of sample by algebra grade point average (AGPA) and geometry grade point average (GGPA) 140V Page Table B.7. Interrater correlations of content ratings on PST 141 Table
B.8. Description of content of PST by item (n = 17 raters) 142 Table B.9. Interrater correlations on item difficulty of Problem
Solving
Test 143 Table B.IO. Raters estimation of item difficulty of PST 144 Table B.ll. Correlations and reliability coefficient of the trial form of PST 144 Table B.12.
Correlation
and reliability coefficients of PST of total presample144 Table B.13. Algebra grades predicted by means of stepwise regression
145 Table B.14, Geometry grades predicted by means of stepwise regression
146 Table B.15. Mathematics grades predicted by means of stepwise regression
147 Table B.16.
Teacher
Rating predicted by means of stepwise regression 148 Table B.17.Semantic
differential interest inventory 149 Table B.18. Correlation matrix of dependent and independent variables 130 /vi LISTquotesdbs_dbs14.pdfusesText_20