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How humans learn to think mathematically : exploring the three worlds of mathematics

Author: David Orme Tall
Publisher: New York : Cambridge University Press, 2013. ©2013
Series: Learning in doing.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall's analysis offers a shared framework  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Tall, David Orme.
How humans learn to think mathematically : exploring the three worlds of mathematics.
New York : Cambridge University Press, ©2013
xxi, 457 pages
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Orme Tall
ISBN: 9781139565202 1139565206
OCLC Number: 889265408
Awards: Short-listed for PROSE Award for Psychology 2013
Description: 1 online resource (484 pages) : illustrations.
Contents: Part I. Prelude: 1. About this book; Part 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 the emotions; 6. The three worlds of mathematics; 7. Journeys through embodiment and symbolism; 8. Problem-solving and proof; Part III. Interlude: 9. The historical evolution of mathematics; Part IV. University Mathematics and Beyond: 10. The transition to formal knowledge; 11. Blending knowledge structures in calculus; 12. Expert thinking and structure theorems; 13. Contemplating the infinitely large and the infinitely small; 14. Expanding frontiers through mathematical research; 15. Reflections; Appendix: where the ideas came from.
Series Title: Learning in doing.
Responsibility: David Tall.

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