How Humans Learn to Think Mathematically

How Humans Learn to Think Mathematically

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.


Author
Publisher Cambridge University Press
Release Date
ISBN 1107035708
Pages 483 pages
How Humans Learn to Think Mathematically
Language: en
Pages: 483
Authors: David Tall
Categories: Education
Type: BOOK - Published: 2013-09-02 - Publisher: Cambridge University Press

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tal
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Language: en
Pages: 474
Authors: Ulises Xolocotzin
Categories: Psychology
Type: BOOK - Published: 2017-05-12 - Publisher: Academic Press

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Mathematical Reasoning of Children and Adults
Language: en
Pages: 322
Authors: Alina Galvão Spinillo
Categories: Education
Type: BOOK - Published: 2021-05-24 - Publisher: Springer Nature

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Handbook of International Research in Mathematics Education
Language: en
Pages: 726
Authors: Lyn D. English
Categories: Education
Type: BOOK - Published: 2015-07-30 - Publisher: Routledge

This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and pract
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Language: en
Pages: 468
Authors: Gila Hanna
Categories: Education
Type: BOOK - Published: 2012-06-14 - Publisher: Springer Science & Business Media

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Language: en
Pages:
Authors: Jerzy Pogonowski
Categories:
Type: BOOK - Published: - Publisher: LIT Verlag Münster

This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition The main issues and questions ad
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Language: en
Pages: 723
Authors: Rolf Biehler
Categories: Education
Type: BOOK - Published: 2023-02-02 - Publisher: Springer Nature

This edited volume presents a broad range of original practice-oriented research studies about tertiary mathematics education. These are based on current theore
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Language: en
Pages: 236
Authors: Catherine Houdement
Categories: Mathematics
Type: BOOK - Published: 2022-09-21 - Publisher: John Wiley & Sons

The sciences are, in essence, highly semiotized. Our ways of thinking and communicating about science are based on permanent transformations from one system of
Mathematics Rebooted
Language: en
Pages: 220
Authors: Lara Alcock
Categories: Mathematics
Type: BOOK - Published: 2017-10-06 - Publisher: Oxford University Press

Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a
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Language: en
Pages: 244
Authors: Viviane Durand-Guerrier
Categories: Education
Type: BOOK - Published: 2021-04-16 - Publisher: Routledge

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated