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How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics (Learning in Doing: Social)

How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics (Learning in Doing: Social)

Current price: $133.40
Publication Date: September 2nd, 2013
Publisher:
Cambridge University Press
ISBN:
9781107035706
Pages:
484
Available in 3-7 business days

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.