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Conference Papers Year : 2022

Action-property duality in embodied design

Abstract

For those working on embodied design it is a challenge to create tasks that enable students to develop abstract mathematical concepts. We approach this issue from the perspective of Sfard's notions of saming, encapsulation, and reification. We discuss a duality of properties and actions, and use this duality to review saming, encapsulation and reification from an action-and perceptionbased perspective. To illustrate the power of this theoretical contribution we discuss one new embodied task design and two from literature: MIT-P for proportion and a design for the gradient of a plane using the Augmented Reality Sandbox.
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Dates and versions

hal-03748173 , version 1 (09-08-2022)

Identifiers

  • HAL Id : hal-03748173 , version 1

Cite

Rogier Bos. Action-property duality in embodied design. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03748173⟩

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