How humans learn to think mathematically exploring the three worlds of mathematics
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| Main Author: | |
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| Format: | Unknown |
| Published: |
New York
Cambridge University Press
2013
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| Series: | Learning in doing : social, cognitive and computational perspectives
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| Subjects: | |
| Online Access: | Click Here to View Status and Holdings. |
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|---|---|---|---|
| 001 | wils-537474 | ||
| 020 | # | # | |a 9781107668546 (paperback) |
| 020 | # | # | |a 9781107035706 (hardback) |
| 040 | # | # | |a DLC |b eng |d ITMBDLC |d DLC |e rda |
| 090 | 0 | 0 | |a QA8.4 |b .T33 2013 |
| 100 | 1 | # | |a Tall, David Orme |
| 245 | 1 | 0 | |a How humans learn to think mathematically |b exploring the three worlds of mathematics |c David Tall |
| 260 | # | # | |a New York |b Cambridge University Press |c 2013 |
| 300 | # | # | |a xix, 457 pages |b illustrations |c 24 cm |
| 490 | 0 | # | |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. |
| 650 | # | 0 | |a Mathematics |x Philosophy |
| 650 | # | 0 | |a Mathematics |x Psychological aspects |
| 650 | # | 0 | |a Mathematics |x Study and teaching |
| 650 | # | 0 | |a Thought and thinking |x Study and teaching |
| 650 | # | 0 | |a Knowledge, Theory of |
| 650 | # | 0 | |a Cognition |x Philosophy |
| 650 | # | 0 | |a Cognition in children |x Psychological aspects |
| 856 | 4 | 0 | |z Click Here to View Status and Holdings. |u https://opac.uitm.edu.my/opac/detailsPage/detailsHome.jsp?tid=537474 |
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The mathematical experince 
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