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Visual Thinking in Mathematics by Marcus Giaquinto (Paperback, 2011)

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By Marcus Giaquinto. Marcus Giaquinto is a Reader in Philosophy at University College London. Drawing from philosophical work on the. Author Marcus Giaquinto. By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used.

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Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.

Product Identifiers

Publisher
Oxford University Press
ISBN-13
9780199575534
eBay Product ID (ePID)
108605826

Product Key Features

Subject Area
Developmental Psychology
Author
Marcus Giaquinto
Publication Name
Visual Thinking in Mathematics
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
298 Pages

Dimensions

Item Height
234mm
Item Width
158mm
Item Weight
436g

Additional Product Features

Title_Author
Marcus Giaquinto
Topic
Popular Philosophy
Country/Region of Manufacture
United Kingdom

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Visual Thinking in Mathematics by Marcus Giaquinto (Paperback, 2011)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Save on Adult Learning & University

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

Michael Nehls The Indoctrinated Brain (Hardback) (US IMPORT)

Bill Perkins Die With Zero (Paperback)

Havard's Nursing Guide to Drugs

Nelson Senior Maths 11 Mathematics Essential Student Book with 1 Access Code for

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