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Book

Foundations of Geometric Cognition

Book

Foundations of Geometric Cognition

DOI link for Foundations of Geometric Cognition

Foundations of Geometric Cognition book

Foundations of Geometric Cognition

DOI link for Foundations of Geometric Cognition

Foundations of Geometric Cognition book

ByMateusz Hohol
Edition 1st Edition
First Published 2019
eBook Published 2 October 2019
Pub. Location London
Imprint Routledge
DOI https://doi.org/10.4324/9780429056291
Pages 204
eBook ISBN 9780429056291
Subjects Behavioral Sciences, Mathematics & Statistics
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Hohol, M. (2019). Foundations of Geometric Cognition (1st ed.). Routledge. https://doi.org/10.4324/9780429056291

ABSTRACT

The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers.

Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought.

Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.

TABLE OF CONTENTS

chapter 1|44 pages

Geometric Thinking, the Paradise of Abstraction

chapter 2|35 pages

The Hardwired Foundations of Geometric Cognition

chapter 3|39 pages

Embodiment and Abstraction

chapter 4|22 pages

Cognitive Artifacts and Euclid

Diagrams and formulae

chapter |3 pages

Conclusions and Future Directions for Research

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