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  • 1
    Online Resource
    Online Resource
    How humans learn to think mathematically : exploring the three worlds of mathematics (2014)
    Cambridge : Cambridge University Press
    Details
    UID:
    gbv_865365229
    Format: 1 online resource (xix, 457 pages)
    ISBN: 9781139565202
    Series Statement: Learning in doing : social, cognitive and computational perspectives
    Content: 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
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015)
    Additional Edition: ISBN 9781107668546
    Additional Edition: ISBN 9781107035706
    Additional Edition: Erscheint auch als Druck-Ausgabe Tall, David, 1941 - How humans learn to think mathematically New York, NY : Cambridge Univ. Press, 2013 ISBN 9781107668546
    Additional Edition: ISBN 9781107035706
    Language: English
    Subjects: Mathematics
    RVK:
    SM 607
    Keywords: Mathematik ; Denken
    DOI: 10.1017/CBO9781139565202
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (lizenzpflichtig)
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    Stabi Berlin
    UB Potsdam
  • 2
    Online Resource
    Online Resource
    How humans learn to think mathematically : exploring the three worlds of mathematics (2013)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almafu_9960117591402883
    Format: 1 online resource (xix, 457 pages) : , digital, PDF file(s).
    ISBN: 1-107-50234-9 , 1-139-56520-6
    Series Statement: Learning in doing : social, cognitive and computational perspectives
    Content: 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.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , 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. , English
    Additional Edition: ISBN 1-107-66854-9
    Additional Edition: ISBN 1-107-03570-8
    Language: English
    URL: https://doi.org/10.1017/CBO9781139565202
    URL: https://doi.org/10.1017/CBO9781139565202
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
  • 3
    Book
    Book
    How humans learn to think mathematically : exploring the three worlds of mathematics (2013)
    New York, NY : Cambridge Univ. Press
    Details
    UID:
    gbv_741399164
    Format: XXI, 457 Seiten , Illustrationen
    ISBN: 9781107668546 , 9781107035706
    Series Statement: Learning in doing: social, cognitive and computational perspectives
    Note: Literaturverz. S. 433 - 445 , I. PreludeAbout 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. , 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.
    Additional Edition: Erscheint auch als Online-Ausgabe Tall, David, 1941 - How humans learn to think mathematically Cambridge : Cambridge University Press, 2013 ISBN 9781139565202
    Language: English
    Subjects: Mathematics
    RVK:
    SM 607
    Keywords: Mathematik ; Denken
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    Stabi Berlin get availability status
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