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The Process of Learning Mathematics : the Commonwealth and International Library: Mathematical Topics.

Author: L R Chapman
Publisher: Saint Louis : Elsevier Science, 2016.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Chapman, L.R.
Process of Learning Mathematics : The Commonwealth and International Library: Mathematical Topics.
Saint Louis : Elsevier Science, ©2016
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: L R Chapman
ISBN: 9781483140018 1483140016
OCLC Number: 953660348
Description: 1 online resource (409 pages)
Contents: Front Cover; The Process of Learning Mathematics; Copyright Page; Table of Contents; Contributors; Foreword; Chapter 1. The Nature of Mathematics; Bibliography; Chapter 2. The Nature of Mathematics-Another View; Introduction; The Word Mathematics; Is Mathematics Useful; Pure and Applied Mathematics; Is Mathematics an Empirical Science; What is Pure Mathematics About; What is the Connection between Mathematicsand the Physical Universe?; Making Pictures; The Structure of Mathematical Thinking; The Importance of Symbols; Axiomatics; Bibliography and Reading List; Chapter 3. The Role of Intuition. Suggestions for Further ReadingChapter 4. The Role of Logic; Introduction; I. Logical Procedures; II. Methods of Proof; III. Axiomatic Systems; IV. Errors; V. The Role of Logic in the Development of Mathematics; References; Chapter 5. Generalisation and Structure; 1. Introduction; 2 . Generalisation; 3. The Evolution of a Subject; 4. Approximations; 5. Problems of Applied Mathematics and Technology; 6. Some Miscellaneous Topics; Conclusion; Chapter 6. Attempts to Investigate the Learning of Mathematics; Methods of Investigation; Number and a Number System; Selected References. Chapter 7. The Growth of Logical ThinkingProcesses in the Development of Thinking; Periods of Development; An Illustrative Example; The Function of Language in Thinking; The Formation of Concepts; Adolescent Thinking; Conclusions; References; Chapter 8. Schematic Learning; Consequences for Teaching; Assimilation and Accommodation; Basic Mathematical Schemas; Chapter 9. Reflective Intelligence, and the Use of Symbols; Sensori-Motor and Reflective Intelligence; Reflective Activity in Mathematics; The Contribution of Symbols; Communicating and Reflecting; Some other Functions of Symbols. Chapter 17. Scottish Mathematics GroupChapter 18. School Mathematics Project; The Initial Stages; References; 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.

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