Thesis (doctoral)--Universität Bern, 1911. / Cover title.

Thesis (doctoral)--Königl. Sächs. Technischen Hochschule zu Dresden, 1914. / Vita. Includes bibliographical references.

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by Law Huk-yuen. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 235-243). / ACKNOWLEDGEMENTS --- p.ii / ABSTRACT --- p.iii / LIST OF TABLES --- p.x / LIST OF FIGURES --- p.xii / Chapter CHAPTER 1 --- INTRODUCTION --- p.1 / Chapter 1.1 --- Background of the Study --- p.1 / Chapter 1.2 --- Purpose and Significance of the Study --- p.2 / Chapter CHAPTER 2 --- REVIEW OF LITERATURE --- p.5 / Chapter 2.1 --- Research in Mathematics Education : A Cognitive Science Perspective --- p.7 / Chapter 2.1.1 --- Issues in mathematics education --- p.8 / Chapter 2.1.2 --- The cognitive science perspective --- p.13 / Chapter 2.1.2a --- Task-based interviews --- p.16 / Chapter 2.1.2b --- Information-processing framework --- p.18 / Chapter 2.1.2c --- The knowledge structure --- p.21 / Chapter 2.1.2d --- The nature of concepts --- p.23 / Chapter 2.1.3 --- The psychological studies of mathematical concepts --- p.25 / Chapter 2.2 --- Mental Models and Conceptual Knowledge --- p.29 / Chapter 2.3 --- Expert-Novice Discrepancies in Knowledge Representation --- p.32 / Chapter 2.4 --- Assessing Mathematical Understanding --- p.38 / Chapter 2.4.1 --- Assessing knowledge structure --- p.39 / Chapter 2.4.2 --- Test validation --- p.41 / Chapter 2.5 --- Summary --- p.42 / Chapter CHAPTER 3 --- RESEARCH METHOD --- p.44 / Chapter 3.1 --- Research Questions --- p.44 / Chapter 3.2 --- Subjects --- p.45 / Chapter 3.3 --- Design and Procedures --- p.46 / Chapter 3.3.1 --- Phase 1. : Initial testing for conceptual knowledge --- p.46 / Chapter 3.3.2 --- Phase 2 : Task-based interviewing --- p.47 / Chapter 3.3.3 --- Phase 3: Revised testing for conceptual knowledge --- p.48 / Chapter 3.3.4 --- Model for assessing conceptual understanding --- p.49 / Chapter 3.4 --- Data Analysis --- p.51 / Chapter 3.5 --- Time Frame --- p.52 / Chapter CHAPTER 4 --- RESULTS AND DISCUSSION --- p.53 / Chapter 4.1 --- Overview --- p.53 / Chapter 4.2 --- Conceptual Knowledge in Coordinate Geometry --- p.54 / Chapter 4.3 --- Phase-one Analysis : Selection of Expert and Novice Students --- p.57 / Chapter 4.3.1 --- The scoring of initial test --- p.58 / Chapter 4.3.2 --- A profile of expert students and novice students --- p.60 / Chapter 4.3.3 --- A preliminary discussion ： Expert students vs. novice students --- p.61 / Chapter 4.4 --- Phase-two Analysis --- p.63 / Chapter 4.4.1 --- Constructing students' knowledge representations --- p.64 / Chapter 4.4.1a --- Mental representation of <PARALLEL LINES> --- p.66 / Chapter 4.4.1b --- Mental representation of <SLOPES> --- p.78 / Chapter 4.4.1c --- Mental representation of <INTERCEPTS> --- p.82 / Chapter 4.4.1d --- Mental representation of <POINT COORDINATES> --- p.85 / Chapter 4.4.1e --- Knowledge representations --- p.92 / Chapter 4.4.2 --- Comparison of expert mental representat ion and novice mental representation --- p.101 / Chapter 4.4.3 --- Generating and testing hypotheses --- p.105 / Chapter 4.5 --- Phase-three Analysis --- p.123 / Chapter 4.5.1 --- Scoring of the revised test --- p.123 / Chapter 4.5.2 --- Test reliability and validation --- p.135 / Chapter 4.6 --- Summary --- p.139 / Chapter CHAPTER 5 --- "CONCLUSIONS, IMPLICATIONS AND SUGGESTIONS FOR FUTURE RESEARCH" --- p.142 / Chapter 5.1 --- Conclusions --- p.142 / Chapter 5.2 --- Limitations --- p.144 / Chapter 5.3 --- Implications --- p.145 / Chapter 5.4 --- Suggestions for Future Research --- p.147 / APPENDICES / Appendix 1. Initial test for conceptual knowledge --- p.149 / Appendix 2. Scoring record of initial test --- p.152 / Appendix 3. Questions for the first interview --- p.153 / Appendix 4. Subjects' protocols of the first interview (the Chinese version) --- p.157 / Appendix 5 . Subjects ' protocols of the first interview (the Knglish- trans1ated version ) --- p.176 / Appendix 6. Questions for the second interview --- p.202 / Appendix 7. Record of subjects' responses to the questions of second interview --- p.208 / Appendix 8. Revised quiz for conceptual knowledge --- p.210 / Appendix 9. Item and score distribution of the two-halves of the revised test --- p.232 / Appendix 10A. Scoring record of Test A ( the first half- test ) --- p.233 / Appendix 10B. Scoring record of Test B (the second half- test ) --- p.234 / REFERENCES --- p.235

Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1882. / Vita.

No description available.

No description available.

No description available.