Mathematical reasoning [electronic resource] : patterns, problems, conjectures, and proofs / Raymond S. Nickerson.

Mathematical reasoning [electronic resource] : patterns, problems, conjectures, and proofs / Raymond S. Nickerson.

9780203848029 (electronic book)
0203848020 (electronic book.)
9781848728271
1848728271
9781136945397

New York : Psychology Press, [2010]

©2010

English

1 online resource (xi, 583 pages) : illustrations

QA300 .N468 2010eb

510.1/9

"This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the 'truths' of mathematics are discoveries or inventions and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as "beautiful"? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction." "This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book's insights illuminating."--Jacket.

Includes bibliographical references and indexes.

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