The Resource 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, (electronic resource)
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, (electronic resource)
Resource Information
The item 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, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item 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, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
 Language
 eng
 Extent
 1 online resource (xix, 457 pages)
 Contents

 I. Prelude
 About this Book
 II. School Mathematics and Its Consequences
 The Foundations of Mathematical Thinking
 Compression, Connection and Blending of Mathematical Ideas
 Setbefores, Metbefores and Longterm Learning
 Mathematics and the Emotions
 The Three Worlds of Mathematics
 Journeys through Embodiment and Symbolism
 ProblemSolving 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
 9781107035706
 Label
 How humans learn to think mathematically : exploring the three worlds of mathematics
 Title
 How humans learn to think mathematically
 Title remainder
 exploring the three worlds of mathematics
 Statement of responsibility
 David Tall, emeritus professor in mathematical thinking, University of Warwick, visiting professor, Mathematics Education Centre, Loughborough University
 Language
 eng
 Summary
 How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
 Assigning source
 Provided by publisher
 Cataloging source
 UkCbUP
 http://library.link/vocab/creatorName
 Tall, David Orme
 Index
 index present
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Learning in doing : social, cognitive and computational perspectives
 Cambridge Social Sciences eBooks
 http://library.link/vocab/subjectName

 Mathematics
 Mathematics
 Mathematics
 Thought and thinking
 Knowledge, Theory of
 Cognition
 Cognition in children
 Label
 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, (electronic resource)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Prelude  About this Book  II. School Mathematics and Its Consequences  The Foundations of Mathematical Thinking  Compression, Connection and Blending of Mathematical Ideas  Setbefores, Metbefores and Longterm Learning  Mathematics and the Emotions  The Three Worlds of Mathematics  Journeys through Embodiment and Symbolism  ProblemSolving 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
 Control code
 CR9781139565202
 Dimensions
 unknown
 Extent
 1 online resource (xix, 457 pages)
 Form of item
 online
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781107035706
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 System control number
 (OCoLC)881237092
 Label
 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, (electronic resource)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Prelude  About this Book  II. School Mathematics and Its Consequences  The Foundations of Mathematical Thinking  Compression, Connection and Blending of Mathematical Ideas  Setbefores, Metbefores and Longterm Learning  Mathematics and the Emotions  The Three Worlds of Mathematics  Journeys through Embodiment and Symbolism  ProblemSolving 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
 Control code
 CR9781139565202
 Dimensions
 unknown
 Extent
 1 online resource (xix, 457 pages)
 Form of item
 online
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781107035706
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 System control number
 (OCoLC)881237092
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/Howhumanslearntothinkmathematically/C1VfhNICLCw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Howhumanslearntothinkmathematically/C1VfhNICLCw/">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, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>