Action-property duality in embodied design

Rogier Bos

Action-property duality in embodied design

Rogier Bos

Research output: Contribution to conference › Paper › Academic

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 language	English
Publication status	Published - 2022
Event	Twelfth Congress of the European Society for Research in Mathematics Education - Bozen-Bolsano, Italy Duration: 2 Feb 2022 → 5 Feb 2022 Conference number: 12

Conference

Conference	Twelfth Congress of the European Society for Research in Mathematics Education
Abbreviated title	CERME
Country/Territory	Italy
City	Bozen-Bolsano
Period	2/02/22 → 5/02/22

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TWG16_02_BosFinal published version, 449 KB

https://hal.archives-ouvertes.fr/hal-03748173

Cite this

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title = "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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N1 - Conference code: 12

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AB - 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.

M3 - Paper

T2 - Twelfth Congress of the European Society for Research in Mathematics Education

Y2 - 2 February 2022 through 5 February 2022

ER -

Action-property duality in embodied design

Abstract

Conference

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