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.

By: Tall, David Orme [author.]Material type: TextTextLanguage: English Series: Learning in doing : social, cognitive and computational perspectivesPublisher: Cambridge : Cambridge University Press, 2013Description: xix, 457 pages : illustrations ; 24 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9781107035706 (hardback)Subject(s): Mathematics -- Philosophy | Mathematics -- Psychological aspects | Mathematics -- Study and teaching | Thought and thinking | Knowledge, Theory of | Cognition | Cognition in childrenLOC classification: QA8.4 .T35 2013
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.
Item type Current library Shelving location Call number Copy number Status Date due Barcode
Books MEF Üniversitesi Kütüphanesi
Genel Koleksiyon QA 8.4 .T35 2013 (Browse shelf (Opens below)) Available 0002741

Includes bibliographical references (pages 433-445) and index.

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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