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Visual thinking in mathematics : an epistemological study

Author: M Giaquinto
Publisher: Oxford ; New York : Oxford University Press, 2007.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: M Giaquinto
ISBN: 9780199285945 0199285942 9780199575534 0199575533
OCLC Number: 123136980
Description: 287 pages : illustrations ; 25 cm
Contents: Introduction --
Simple shapes : vision and concepts --
Basic geometrical knowledge --
Geometrical discovery by visualizing --
Diagrams in geogmetric proofs --
Mental number lines --
Visual aspects of calculation --
General theorems from specific images --
Visual thinking in basic analysis --
Symbol manipulation --
Cognition of structure --
Mathematical thinking : algebraic v. geometric?
Responsibility: M. Giaquinto.
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Abstract:

Marcus Giaquinto presents an investigation into the different kinds of visual thinking involved in mathematical thought, drawing on work in cognitive psychology, philosophy, and mathematics. He  Read more...

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Review from previous edition The author shows great ambition in tackling such an interesting topic with an interdisciplinary spirit. * Sun-Joo Shin, Notre Dame Philosophical Reviews *

 
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