Action-property duality in embodied design

Research output: Contribution to conferencePaperAcademic

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.
Original languageEnglish
Publication statusPublished - 2022
EventTwelfth Congress of the European Society for Research in Mathematics Education - Bozen-Bolsano, Italy
Duration: 2 Feb 20225 Feb 2022
Conference number: 12

Conference

ConferenceTwelfth Congress of the European Society for Research in Mathematics Education
Abbreviated titleCERME
Country/TerritoryItaly
CityBozen-Bolsano
Period2/02/225/02/22

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