How Humans Learn to Think Mathematically

Exploring the Three Worlds of Mathematics

Nonfiction, Science & Nature, Mathematics, Reference & Language, Education & Teaching, Health & Well Being, Psychology
Cover of the book How Humans Learn to Think Mathematically by David Tall, Cambridge University Press
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Author: David Tall ISBN: 9781107502345
Publisher: Cambridge University Press Publication: September 2, 2013
Imprint: Cambridge University Press Language: English
Author: David Tall
ISBN: 9781107502345
Publisher: Cambridge University Press
Publication: September 2, 2013
Imprint: Cambridge University Press
Language: English

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.

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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.

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