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How humans learn to think mathematically : exploring the three worlds of mathematics

Author: David Orme Tall
Publisher: Cambridge : Cambridge University Press, 2013.
Series: Learning in doing : social, cognitive and computational perspectives
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall's analysis offers a shared framework  Read more...

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Document Type: Book
All Authors / Contributors: David Orme Tall
ISBN: 9781107035706 1107035708 9781107668546 1107668549
OCLC Number: 911502187
Awards: Short-listed for PROSE Award for Psychology 2013
Description: XIX, 457 str. : ilustr. ; 24 cm.
Contents: 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.
Series Title: Learning in doing : social, cognitive and computational perspectives
Responsibility: David Tall.

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