How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics

How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics
ISBN-10
1107035708
ISBN-13
9781107035706
Category
Education
Pages
457
Language
English
Published
2013-09-02
Publisher
Cambridge University Press
Author
David Tall

Description

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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