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Manipulative imagination: how to move things around in mathematics
dc.contributor.author | Giardino, Valeria | |
dc.date.accessioned | 2020-01-29T19:42:07Z | |
dc.date.available | 2020-01-29T19:42:07Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Theoria 33(2) : 345-360 (2018) | |
dc.identifier.issn | 2171-679X | |
dc.identifier.uri | http://hdl.handle.net/10810/39671 | |
dc.description.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. | |
dc.language.iso | eng | |
dc.publisher | Servicio Editorial de la Universidad del País Vasco/Euskal Herriko Unibertsitatearen Argitalpen Zerbitzua | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.title | Manipulative imagination: how to move things around in mathematics | |
dc.type | info:eu-repo/semantics/article | |
dc.rights.holder | © 2018 UPV/EHU Atribución-NoComercial-SinDerivadas 4.0 Internacional |
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(2018) Volumen 33. Número 2
Updating indispensabilities: Putnam in memoriam; From basic cognition to mathematical practice