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Visual thinking in mathematics : an epistemological study / M. Giaquinto.
- Format:
- Book
- Author/Creator:
- Giaquinto, M. (Marcus), author.
- Language:
- English
- Subjects (All):
- Mathematics--Philosophy.
- Mathematics.
- Visual perception.
- Information visualization.
- Geometry.
- Arithmetic.
- Physical Description:
- 1 online resource (287 pages) : illustrations
- Place of Publication:
- Oxford ; New York : Oxford University Press, 2007.
- Language Note:
- English
- 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.
- 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?
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. [269]-284) and index.
- Description based on print version record.
- ISBN:
- 0-19-957553-3
- 1-281-15420-2
- 9786611154202
- 0-19-153661-X
- 1-4356-2359-2
- OCLC:
- 318618300
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