Tools for Thought: The Case of Mathematics

Endeavour 2 (42):172-179 (2018)

Authors
Valeria Giardino
Centre National de la Recherche Scientifique
Abstract
The objective of this article is to take into account the functioning of representational cognitive tools, and in particular of notations and visualizations in mathematics. In order to explain their functioning, formulas in algebra and logic and diagrams in topology will be presented as case studies and the notion of manipulative imagination as proposed in previous work will be discussed. To better characterize the analysis, the notions of material anchor and representational affordance will be introduced.
Keywords External and material representations  External and material representations Cognitive tools Manipulative imagination Philosophy of notation Distributed cognition Material anchors Representational affordances  Manipulative imagination  Philosophy of notation  Distributed cognition  Material anchors  Representational affordances
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