How humans learn to think mathematically : exploring the three worlds of mathematics / David Tall
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| | | | | | How humans learn to think mathematically : exploring the three worlds of mathematics. - New York , 2013. | | xix, 457 pages : illustrations ; 24 cm Learning in doing : social, cognitive and computational perspectives. | | 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. | | ISBN 9781107668546 (paperback) | | .-ISBN 9781107035706 (hardback). | | | | 1. Mathematics - Philosophy 2. Mathematics - Psychological aspects 3. Mathematics - Study and teaching 4. Thought and thinking - Study and teaching 5. Knowledge, Theory of 6. Cognition - Philosophy 7. Cognition in children - Psychological aspects.I. Title II. Series | | Control No. : 2214 | | | Library : UiTM Shah Alam |
| | Accn No. | Item Status | Add Id | Location | SMD | Item Category | | 985462 | Shelf | | PERPUSTAKAAN TUN ABDUL RAZAK(P1) | BOOK | RAK TERBUKA (OPEN SHELVES) |
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