Advanced Mathematical Thinking

Name: Advanced Mathematical Thinking
Author: David Tall

Paperback Engels 1994 1991e druk 9780792328124

€ 132,99

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Samenvatting

This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

Specificaties

ISBN13:9780792328124

Taal:Engels

Bindwijze:paperback

Aantal pagina's:292

Uitgever:Springer Netherlands

Druk:1991

Hoofdrubriek:Mens en maatschappij, Mens en maatschappij

Serie:Mathematics Education Library

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Inhoudsopgave

Preface. Introduction. 1. The Psychology of Advanced Mathematical Thinking; D. Tall. I: The Nature of Advanced Mathematical Thinking. 2. Advanced Mathematical Thinking Processes; T. Dreyfus. 3. Mathematical Creativity; G. Ervynck. 4. Mathematical Proof; G. Hanna. II: Cognitive Theory of Advanced Mathematical Thinking. 5. The Role of Definitions in the Teaching and Learning of Mathematics; S. Vinner. 6. The Role of Conceptual Entities and their Symbols in Building Advanced Mathematical Concepts; G. Harel, J. Kaput. 7. Reflective Abstraction in Advanced Mathematical Thinking; E. Dubinsky. III: Research into the Teaching and Learning of Advanced Mathematical Thinking. 8. Research in Teaching and Learning Mathematics at an Advanced Level; A. Robert, R. Schwarzenberger. 9. Functions and Associated Learning Difficulties; T. Eisenberg. 10. Limits; B. Cornu. 11. Analysis; M. Artigue. 12. The Role of Students' Intuitions of Infinity in Teaching the Cantorial Theory; D. Tirosh. 13. Research on Mathematical Proof; D. Alibert, M. Thomas. 14. Advanced Mathematical Thinking and the Computer; E. Dubinsky, D. Tall. Appendix to 14. ISETL: A Computer Language for Advanced Mathematical Thinking. Epilogue. 15. Reflections; D. Tall. Bibliography. Index.