Imagery and Imagination: How Minds Create Mathematics

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Originally published in Contemporary Psychology: APA Review of Books, 1998, Vol 43(10), 677–680. Review of “Mathematical Reasoning: Analogies, Metaphors, and Images” (see record 1997-05039-000). Mathematical reasoning is a highly complex activity, in which analogy and imagery play vital roles. The articles collected in this book describe these roles from philosophical, educational, and psychological perspectives. The reader is encouraged to move from a view of mathematical thinking as purely analytical, abstract, formal, and disconnected from experience to one where analogical reasoning, simile, metaphor, metonymy, and embodied imagery–aspects of what is sometimes called mathematical imagination or intuition–are central and ubiquitous. Together, Goldin believes, the contributed articles form a rich and provocative collection, challenging some widely held ideas. They deserve careful reading by psychologists, mathematics educators, and philosophers of mathematics. (PsycINFO Database Record (c) 2006 APA, all rights reserved)

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