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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tall, David O.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hingham : Kluwer Academic Publishers, 1991.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.