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

How Humans Learn to Think Mathematically

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"How Humans Learn to Think Mathematically" by David Tall is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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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Best For: Students and educators interested in the cognitive development of mathematical understanding
Focus: The progression of mathematical thinking from childhood through adulthood and the contextual challenges of mathematical concepts
Covers: Development of mathematical thinking, impact of early arithmetic on later concepts like fractions and algebra
Why It Matters: Provides insight into how mathematical concepts are learned and why some ideas become difficult as learners advance

"How Humans Learn to Think Mathematically" by David Tall is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: David Tall

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorDavid Tall
PublisherCambridge University Press
Published2013-09-02
ISBN-139781107668546
BindingPaperback
LanguageEnglish
SubjectsPsychology
TopicCore Mathematics
SeriesLearning in Doing: Social, Cognitive and Computational Persp

Format: Paperback

Language: English

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