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The process of learning mathematics /

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;...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chapman, L. R.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Pergamon Press, [1972]
Edición:[1st ed.].
Colección:Commonwealth and international library. Mathematical topics.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Chapman, L. R. 
245 1 4 |a The process of learning mathematics /  |c edited by L.R. Chapman. 
250 |a [1st ed.]. 
260 |a Oxford ;  |a New York :  |b Pergamon Press,  |c [1972] 
300 |a 1 online resource (xiii, 392 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a The commonwealth and international library. Mathematical topics 
504 |a Includes bibliographical references. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
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588 0 |a Print version record. 
505 0 |a 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 Mathematics and the Physical Universe?; Making Pictures; The Structure of Mathematics Thinking; The Importance of Symbols; Axiomatics; Bibliography and Reading List. 
505 8 |a Chapter 3. The Role of IntuitionSuggestions for Further Reading; Chapter 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. 
505 8 |a Selected ReferencesChapter 7. The Growth of Logical Thinking; Processes 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 Mathematics 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. 
505 8 |a Some other Functions of SymbolsReferences; For Further Reading; Chapter 10. Motivation, Emotional and Interpersonal Factors; References; Suggestions for Further Reading; Chapter 11. Investigational Methods; Chapter 12. A Note on Discovery; Discovery; Further Reading; Chapter 13. Structural Apparatus; Suggested Reading; Chapter 14. Computer-assisted Instruction; I. Computation; II. Programming; III. Programming for C.A.I.; IV. C.A.I, in the Future; Further Reading; Chapter 15. The Uses of Programmed Material in British Schools and Colleges; Summarising our Common Background; References. 
505 8 |a Chapter 16. The Midlands Mathematics ExperimentReferences; Chapter 17. Scottish Mathematics Group; Chapter 18. School Mathematics Project; The Initial Stages; References; 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. 
520 |a 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 ide. 
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776 0 8 |i Print version:  |a Chapman, L.R.  |t Process of learning mathematics.  |b [1st ed.].  |d Oxford, New York, Pergamon Press [1972]  |w (DLC) 71178683  |w (OCoLC)516133 
830 0 |a Commonwealth and international library.  |p Mathematical topics. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780080166230  |z Texto completo