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How Humans Learn to Think Mathematically Exploring the Three Worlds of Mathematics 1st Edition by David Tall ISBN 1107668549 9781107668546

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How Humans Learn to Think Mathematically Exploring the Three Worlds of Mathematics David Tall Digital Instant Download

Author(s): David Tall
ISBN(s): 9781107668546, 1107668549
Edition: Paperback
File Details: PDF, 5.97 MB
Year: 2013
Language: english
SKU: EB-10470638 Category: Tag:

How Humans Learn to Think Mathematically Exploring the Three Worlds of Mathematics 1st Edition by David Tall – Ebook PDF Instant Download/Delivery: 1107668549, 9781107668546
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Product details:

ISBN 10: 1107668549
ISBN 13: 9781107668546
Author: David Tall

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.

How Humans Learn to Think Mathematically Exploring the Three Worlds of Mathematics 1st Table of contents:

I. Prelude
1. About this Book
II. School Mathematics and Its Consequences
2. The Foundations of Mathematical Thinking
3. Compression, Connection and Blending of Mathematical Ideas
4. Set-Befores, Met-Befores and Long-Term Learning
5. Mathematics and Emotion
6. The Three Worlds of Mathematics
7. Journeys through Embodiment and Symbolism
8. Problem Solving and Proof
III. Interlude
9. The Historical Evolution of Mathematics
IV. University Mathematics and Beyond
10. The Transition to Formal Knowledge
11. Blending Ideas in the Calculus
12. Expert Thinking and Structure Theorems
13. Contemplating the Infinitely Large and Small
14. Expanding the Frontiers through Mathematical Research
15. Reflections

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Tags: David Tall, Exploring, Mathematics