Multiple representations and mathematical creativity

doi:10.1016/j.tsc.2021.100960

2021-12-01

PRE

Ali Biçer *

DOI：10.1016/j.tsc.2021.100960

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摘要

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The primary purpose of this study is to reveal how multiple representations and/or visualizations can be used as an intervention to promote students' mathematical creativity. The second purpose is to observe how multiple representations and/or visualizations can be used as a psychometric tool to measure students' creative thinking abilities in mathematics. Pre-service teachers (n = 71) were randomly assigned to one of two groups: multiple representations or control. Results showed the mathematical creativity for the multiple representations group increased more than preservice teachers in the control group (d = 0.98). Results also showed that multiple representations and/or visualizations of mathematical concepts, ideas, and problems can be employed as an effective psychometric tool that measure pre-service teachers' creative thinking abilities in mathematics. One implication is that instructors can provide more multiple representations and/ or visualizations of mathematical concepts during instruction so that pre-service teachers can find opportunities to develop their creative thinking in mathematics. Another important implication is that employing multiple representations as a psychometric tool to measure pre-service teachers' creative thinking abilities in mathematics can eliminate the required mathematical content knowledge individuals need to know to manifest their creative insights in mathematics.

Keyword:

Key Mathematical creativity

Multiple representations

Visualizations

Problem posing

Pre-service teachers