How humans learn to think mathematically : exploring the three worlds of mathematics / David Tall, emeritus professor in mathematical thinking, University of warwick, visiting professor, Mathematics Education Centre, Loughborough University.

Bibliographic Details
Uniform Title:Learning in doing.
Main Author: Tall, David Orme
Language:English
Published: Cambridge : Cambridge University Press, 2013.
Series:Learning in doing.
Subjects:
Physical Description:xxi, 457 pages : illustrations ; 24 cm.
Format: Book

MARC

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245 1 0 |a How humans learn to think mathematically :  |b exploring the three worlds of mathematics /  |c David Tall, emeritus professor in mathematical thinking, University of warwick, visiting professor, Mathematics Education Centre, Loughborough University. 
264 1 |a Cambridge :  |b Cambridge University Press,  |c 2013. 
300 |a xxi, 457 pages :  |b illustrations ;  |c 24 cm. 
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490 1 |a Learning in doing: social, cognitive and computational perspectives 
504 |a Includes bibliographical references (pages 433-445) and index. 
505 0 |a I. Prelude -- About this Book -- II. School Mathematics and Its Consequences -- The Foundations of Mathematical Thinking -- Compression, Connection and Blending of Mathematical Ideas -- Set-befores, Met-befores and Long-term Learning -- Mathematics and the Emotions -- The Three Worlds of Mathematics -- Journeys through Embodiment and Symbolism -- Problem-Solving and Proof -- III. Interlude -- The Historical Evolution of Mathematics -- IV. University Mathematics and Beyond -- The Transition to Formal Knowledge -- Blending Knowledge Structures in the Calculus -- Expert Thinking and Structure Theorems -- Contemplating the Infinitely Large and the Infinitely Small -- Expanding the Frontiers through Mathematical Research -- Reflections -- Appendix: Where the Ideas Came From. 
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