An Embodied Approach to Abstract Functional Thinking Using Digital Technology: A Systematic Literature Review

Hang Wei; Rogier Bos; Paul Drijvers

doi:10.1564/tme_v30.2.2

An Embodied Approach to Abstract Functional Thinking Using Digital Technology: A Systematic Literature Review

Hang Wei^*, Rogier Bos, Paul Drijvers

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Embodied cognition has recently gained increasing attention in mathematics education research. However, little is known about ways to use an embodied approach to reach for mathematical abstraction. In this study, we investigate this topic for the case of functional thinking (FT) using digital technology (DT) through a systematic literature study. We searched four databases, resulting in a corpus of 51 papers. As a result, we found that action-based and perception-based embodied approaches to contextual/situational abstraction are more prevalent in literature than pseudo-embodied approaches. In addition, the covariation and correspondence views on function are more frequently addressed compared to input-output and mathematical object views. We conclude with a discussion on the interplay of embodied approaches and abstraction in FT. For future research, we suggest investigating embodied approaches using digital technology for developing FT concerning different types of mathematical abstraction.

Original language	English
Pages (from-to)	75-94
Number of pages	20
Journal	International Journal for Technology in Mathematics Education
Volume	30
Issue number	2
DOIs	https://doi.org/10.1564/tme_v30.2.2
Publication status	Published - Jun 2023

Funding

This study is co-funded by the Erasmus+ program ofthe European Union, China Scholarship Council (CS() (grant number 202006040046) and the FunThink ErasmusI project (grant number 2020-1 -DOEI-KA203-005677). The European Commission's support for the production of this publication does riot constitute an endorsement of the contents, which reflect the views only of the authors. and the Commission cannot be held responsible for any use which may be made of the information contained therein. The authors would like to thank all participants from the FunThink project for their valuable support and expertise that helped sxwith literature selection/appraisal.

Funders	Funder number
Erasmus+ program ofthe European Union, China Scholarship Council (CSC)	202006040046
FunThink ErasmusI project	2020-1 -DOEI-KA203-005677

Keywords

Construction
Covariation
Environments
Exponential-growth

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abstract = "Embodied cognition has recently gained increasing attention in mathematics education research. However, little is known about ways to use an embodied approach to reach for mathematical abstraction. In this study, we investigate this topic for the case of functional thinking (FT) using digital technology (DT) through a systematic literature study. We searched four databases, resulting in a corpus of 51 papers. As a result, we found that action-based and perception-based embodied approaches to contextual/situational abstraction are more prevalent in literature than pseudo-embodied approaches. In addition, the covariation and correspondence views on function are more frequently addressed compared to input-output and mathematical object views. We conclude with a discussion on the interplay of embodied approaches and abstraction in FT. For future research, we suggest investigating embodied approaches using digital technology for developing FT concerning different types of mathematical abstraction.",

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An Embodied Approach to Abstract Functional Thinking Using Digital Technology: A Systematic Literature Review

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Keywords

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