Advanced Mathematical Thinking

Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encoura...

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Corporate Author: SpringerLink (Online service)
Other Authors: Tall, David (Editor)
Format: eBook
Published: Dordrecht Springer Netherlands 1991, 1991
Edition:1st ed. 1991
Series:Mathematics Education Library
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • The Psychology of Advanced Mathematical Thinking
  • The Nature of Advanced Mathematical Thingking
  • Advanced Mathematical Thinking Processes
  • Mathematical Creativity
  • Mathematical Proof
  • Cognitive Theory of Advanced Mathematical Thinking
  • The Role of Definitions in the Teaching and Learning of Mathematics
  • The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts
  • Reflective Abstraction in Advanced Mathematical Thinking
  • Research into the Teaching and Learning of Advanced Mathematical Thinking
  • Research in Teaching and Learning Mathematics at an Advanced Level
  • Functions and Associated Learning Difficulties
  • Limits
  • Analysis
  • The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory
  • Research on Mathematical Proof
  • Advanced Mathematical Thinking and the Computer
  • Epilogue
  • Reflections