Tall, David Orme <br/><br/>
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. 
 - xix, 457 pages :  illustrations ;  24 cm. 
 - Learning in doing : social, cognitive and computational perspectives .
<br/><br/>Includes bibliographical references (pages 433-445) and index. 
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781107035706 9781107668546 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics--Philosophy.<br/>Mathematics--Psychological aspects.<br/>Mathematics--Study and teaching.<br/>Thought and thinking.<br/>Knowledge, Theory of.<br/>Cognition.<br/>Cognition in children
<br/><br/><label>LC Class. No.: </label>QA8.4  / .T35 2013