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Manipulative imagination: how to move things around in mathematics

Giardino, Valeria (2018) Manipulative imagination: how to move things around in mathematics. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 345-360. ISSN 2171-679X

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Abstract

In the first part of the paper, previous work about embodied mathematics and the practice of topology will be presented. According to the proposed view, in order to become experts, topologists have to learn how to use manipulative imagination: representations are cognitive tools whose functioning depends from pre-existing cognitive abilities and from specific training. In the second part of the paper, the notion of imagination as “make-believe” is discussed to give an account of cognitive tools in mathematics as props; to better specify the claim, the notion of “affordance” is explored in its possible extension from concrete objects to representations.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Giardino, Valeriavaleria.giardino@univ-lorraine.fr
Additional Information: ISSN: 0495-4548 (print)
Keywords: embodied cognition, embodied mathematics, cognitive tools, manipulative imagination, “make-believe”, affordances
Subjects: Specific Sciences > Cognitive Science
Specific Sciences > Mathematics
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 21 Jun 2018 18:05
Last Modified: 21 Jun 2018 18:05
Item ID: 14805
Journal or Publication Title: THEORIA. An International Journal for Theory, History and Foundations of Science
Publisher: Euskal Herriko Unibertsitatea / Universidad del País Vasco
Official URL: http://www.ehu.eus/ojs/index.php/THEORIA/article/v...
DOI or Unique Handle: https://doi.org/10.1387/theoria.17871
Subjects: Specific Sciences > Cognitive Science
Specific Sciences > Mathematics
Date: May 2018
Page Range: pp. 345-360
Volume: 33
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14805

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