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dc.contributor.authorLarvor, Brendan
dc.date.accessioned2019-01-08T17:30:01Z
dc.date.available2019-01-08T17:30:01Z
dc.date.issued2020-09-01
dc.identifier.citationLarvor , B 2020 , ' Why 'scaffolding' is the wrong metaphor : the cognitive usefulness of mathematical representations. ' , Synthese , vol. 197 , no. 9 , pp. 3743-3756 . https://doi.org/10.1007/s11229-018-02039-y
dc.identifier.issn0039-7857
dc.identifier.otherPURE: 15699306
dc.identifier.otherPURE UUID: a1346d2b-2d7a-4aba-80d9-e71b141cb495
dc.identifier.otherScopus: 85057714199
dc.identifier.urihttp://hdl.handle.net/2299/20934
dc.description.abstractThe metaphor of scaffolding has become current in discussions of the cognitive help we get from artefacts, environmental affordances and each other. Consideration of mathematical tools and representations indicates that in these cases at least (and plausibly for others), scaffolding is the wrong picture, because scaffolding in good order is immobile, temporary and crude. Mathematical representations can be manipulated, are not temporary structures to aid development, and are refined. Reflection on examples from elementary algebra indicates that Menary is on the right track with his ‘enculturation’ view of mathematical cognition. Moreover, these examples allow us to elaborate his remarks on the uniqueness of mathematical representations and their role in the emergence of new thoughts.en
dc.format.extent14
dc.language.isoeng
dc.relation.ispartofSynthese
dc.subjectmathematical cognition
dc.subjectenculturation
dc.subjectscaffolding
dc.subjectalgebra
dc.subjectnotations
dc.subjectdiagrams
dc.subjectGeometry
dc.subjectArts and Humanities(all)
dc.subjectPhilosophy
dc.titleWhy 'scaffolding' is the wrong metaphor : the cognitive usefulness of mathematical representations.en
dc.contributor.institutionSchool of Humanities
dc.contributor.institutionPhilosophy
dc.description.statusPeer reviewed
dc.date.embargoedUntil2019-12-04
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=85057714199&partnerID=8YFLogxK
rioxxterms.versionAM
rioxxterms.versionofrecordhttps://doi.org/10.1007/s11229-018-02039-y
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


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