
The Process of Learning Mathematics
The Commonwealth and International Library: Mathematical Topics
- 406 pages
- English
- PDF
- Available on iOS & Android
The Process of Learning Mathematics
The Commonwealth and International Library: Mathematical Topics
About this book
The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree.This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This book then discusses the generalization, structure, and approximations used in teaching mathematics, and emphasizes the problems of applied mathematics and technology pertaining to equations of motion, mathematical representation of physical phenomena, or in relations such as conservation of matter. One paper reviews Piaget's studies on the development of children's thinking process, noting that teachers should consider the level of thinking the pupil uses when designing his teaching material. Another essay deals with how the existing knowledge in a student can affect new kinds of learning through assimilation and accommodation. This book then describes the use of symbols and "reflective intelligence, " addressing reflective activities, communication, and the contribution of symbols.This text then discusses computer-assisted education and several mathematical teaching or learning experiments. This compendium can prove useful for mathematics majors, educators, school administrators, and math teachers.
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Table of contents
- Front Cover
- The Process of Learning Mathematics
- Copyright Page
- Table of Contents
- Contributors
- Foreword
- Chapter 1. The Nature of Mathematics
- Chapter 2. The Nature of MathematicsāAnother View
- Chapter 3. The Role of Intuition
- Chapter 4. The Role of Logic
- Chapter 5. Generalisation and Structure
- Chapter 6. Attempts to Investigate the Learning of Mathematics
- Chapter 7. The Growth of Logical Thinking
- Chapter 8. Schematic Learning
- Chapter 9. Reflective Intelligence,and the Use of Symbols
- Chapter 10. Motivation, Emotionaland Interpersonal Factors
- Chapter 11. Investigational Methods
- Chapter 12. A Note on Discovery
- Chapter 13. Structural Apparatus
- Chapter 14. Computer-assisted Instruction
- Chapter 15. The Uses of Programmed Material in British Schools and Colleges
- Chapter 16. The Midlands Mathematical Experiment
- Chapter 17. Scottish Mathematics Group
- Chapter 18. School Mathematics Project;The Initial Stages
- Chapter 19. Nuffield Foundation MathematicsTeaching Project
- APPENDIX A: PILOT AREAS
- APPENDIX B: TEAM MEMBERS
- APPENDIX C: CONSULTATIVE COMMITTEE
- APPENDIX D: SUMMARY OF THE CONTENTS OF THEBOOKS PUBLISHED BY JUNE 1970
- APPENDIX E: SUMMARY OF THE PROVISIONAL CONTENTS OFPROJECTED GUIDES AND OTHER BOOKS UNPUBLISHED BYJUNE 1970
- APPENDIX F: FILMS AND APPARATUS PRODUCED BY,OR IN CONJUNCTION WITH, THE PROJECT
- APPENDIX G: PUBLICATIONS WITH FURTHER INFORMATIONABOUT THE PROJECT