Using Augmented Reality to Enhance Students’ Representational Fluency: The Case of Linear Functions

Shuhui Li, Yihua Shen, Xinyue Jiao and Su Cai
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Shuhui Li: School of Mathematical Sciences, East China Normal University, Shanghai 200241, China
Yihua Shen: Mathematics, Science, and Technology Department, Teachers College, Columbia University, New York, NY 10027, USA
Xinyue Jiao: VR/AR+ Education Lab, School of Educational Technology, Faculty of Education, Beijing Normal University, Beijing 100875, China
Su Cai: VR/AR+ Education Lab, School of Educational Technology, Faculty of Education, Beijing Normal University, Beijing 100875, China

Mathematics, 2022, vol. 10, issue 10, 1-21

Abstract: Using multiple representations is advocated and emphasized in mathematics and science education. However, many students have difficulty connecting multiple representations of linear functions. Augmented Reality (AR) may affect these teaching and learning difficulties by offering dynamically linked representations. Inspired by this, our study aims to develop, implement, and evaluate an AR-based multi-representational learning environment (MRLE) with three representations of linear functions. The data were collected from 82 seventh graders from two high-performing classes in an urban area in China, through a pre-test, a post-questionnaire, and follow-up interviews. The results reveal that students were satisfied with the AR-based MRLE, which assisted in enhancing their understanding of the real-life, symbolic, and graphical representations and connections among them. Regarding students’ interactions with multiple representations, apparent differences in learning sequences and preferences existed among students in terms of their representational learning profile. In sum, learning in the AR-based MRLE is a complex interaction process between the mathematics content, forms of representations, digital features, and students’ representational learning profile.

Keywords: augmented reality; representational fluency; linear function; multiple representations; STEM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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