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  3. How Humans Learn to Think Mathematically
  • Cited by 150
Publisher:
Cambridge University Press
Online publication date:
June 2014
Print publication year:
2013
Online ISBN:
9781139565202
DOI:
https://doi.org/10.1017/CBO9781139565202
Subjects:
Mathematics (general), Mathematics, Developmental Psychology, Psychology, Educational Psychology
Series:
Learning in Doing: Social, Cognitive and Computational Perspectives
Information

Book 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.

Awards

Honourable Mention, 2013 PROSE Award for Psychology

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