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        Why 'scaffolding' is the wrong metaphor : the cognitive usefulness of mathematical representations.

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        Why_scaffolding_is_the_wrong_metaphor_cs.pdf (PDF, 235Kb)
        Author
        Larvor, Brendan
        Attention
        2299/20934
        Abstract
        The 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.
        Publication date
        2018-12-04
        Published in
        Synthese
        Published version
        https://doi.org/10.1007/s11229-018-02039-y
        Other links
        http://hdl.handle.net/2299/20934
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