The Process of Learning Mathematics

Pergamon International Library of Science, Technology, Engineering and Social Studies

L. R. Chapman

• Editore: Pergamon
• Anno: 2013
• ISBN:
  9781483147581
• Argomento: Mathématiques
• Categoria: Pré-calcul

The Process of Learning Mathematics describes the process of learning mathematics and covers topics ranging from the nature of mathematics to the role of intuition and logic in mathematics; the thought processes involved in the teaching of mathematics; reflective intelligence and the use of symbols; and discovery as a way of learning mathematics. Computer-assisted instruction in mathematics is also considered. This book is comprised of 19 chapters and begins with a reflection on the nature of mathematics, followed by a discussion on the importance of intuition and logic in mathematics. The ideas of generalization, structure, approximations, and the evolution of some particular aspect of applied mathematics are then examined from the viewpoint of a teacher. Subsequent chapters deal with schematic learning; motivation and emotional and interpersonal factors; uses of programmed material in British schools and colleges; and structural apparatuses used in teaching mathematics. The Midlands Mathematical Experiment and the Nuffield Foundation Mathematics Teaching Project in Britain are also described. This monograph will be of interest to teachers and students of mathematics.

Indice dei contenuti

• 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 Mathematics—Another 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, Emotional and 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 Mathematics Experiment
• Chapter 17. Scottish Mathematics Group
• Chapter 18. School Mathematics Project; The Initial Stages
• Chapter 19. Nuffield Foundation Mathematics Teaching Project
• APPENDIX A: PILOT AREAS
• APPENDIX B: TEAM MEMBERS
• APPENDIX C: CONSULTATIVE COMMITTEE
• APPENDIX D: SUMMARY OF THE CONTENTS OF THE BOOKS PUBLISHED BY JUNE 1970
• APPENDIX E: SUMMARY OF THE PROVISIONAL CONTENTS OF PROJECTED GUIDES AND OTHER BOOKS UNPUBLISHED BY JUNE 1970
• APPENDIX F: FILMS AND APPARATUS PRODUCED BY, OR IN CONJUNCTION WITH, THE PROJECT
• APPENDIX G: PUBLICATIONS WITH FURTHER INFORMATION ABOUT THE PROJECT