Mathematical reasoning patterns, problems, conjectures, and proofs
"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 mathemat...
Autor principal: | |
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Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
New York :
Psychology Press
c2010.
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Edición: | 1st ed |
Materias: | |
Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009798144806719 |
Sumario: | "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."--BOOK JACKET. |
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Notas: | Description based upon print version of record. |
Descripción Física: | 1 online resource (597 p.) |
Bibliografía: | Includes bibliographical references and indexes. |
ISBN: | 9781136945380 9781283105859 9786613105851 9781136945397 9780203848029 |