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Advanced mathematical thinking / ed. David Tall

Secondary Author Tall, David Orme Country Holanda. Publication Dordrecht : Kluwer Academic, imp. 1994 Description XVII, 289 p. ; 25 cm Series Mathematics education library , 11 ISBN 0-7923-1456-5 CDU 51:372.851 372.851:51
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Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca Geral da Universidade do Minho
BGUM 51:372.851 - A Available 123622
Total holds: 0

Enhanced descriptions from Syndetics:

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.

Table of contents provided by Syndetics

  • Preface
  • Introduction
  • 1 The Psychology of Advanced Mathematical Thinking
  • I The Nature of Advanced Mathematical Thinking
  • 2 Advanced Mathematical Thinking Processes
  • 3 Mathematical Creativity
  • 4 Mathematical Proof
  • II Cognitive Theory of Advanced Mathematical Thinking
  • 5 The Role of Definitions in the Teaching and Learning of Mathematics
  • 6 The Role of Conceptual Entities and their Symbols in Building Advanced Mathematical Concepts
  • 7 Reflective Abstraction in Advanced Mathematical Thinking
  • III Research into the Teaching and Learning of Advanced Mathematical Thinking
  • 8 Research in Teaching and Learning Mathematics at an Advanced Level
  • 9 Functions and Associated Learning Difficulties
  • 10 Limits
  • 11 Analysis
  • 12 The Role of Students' Intuitions of Infinity in Teaching the Cantorial Theory
  • 13 Research on Mathematical Proof
  • 14 Advanced Mathematical Thinking and the Computer
  • Appendix to 14 ISETL: A Computer Language for Advanced Mathematical Thinking
  • Epilogue
  • 15 Reflections
  • Bibliography
  • Index

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