University of Hertfordshire

From the same journal

By the same authors

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

Research output: Contribution to journalArticlepeer-review

Documents

View graph of relations
Original languageEnglish
Pages (from-to)3743-3756
Number of pages14
JournalSynthese
Volume197
Issue9
Early online date4 Dec 2018
DOIs
Publication statusPublished - 1 Sep 2020

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.

ID: 15699306