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Exploring How Computation Can Foster Mathematical Creativity in Linear Algebra Modules

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RUME 25

2023

Omaha, Nebraska

Exploring How Computation Can Foster Mathematical Creativity in Linear Algebra Modules

Page: 582

The mathematics education community has simultaneously experienced a call for mathematical creativity and the implementation of computing within the classroom. What has not been explored are the ways in which these two calls are complementary. This study investigates how computation, enacted through coding, can bring about mathematical creativity within a series of linear algebra computational notebooks designed using the Understanding by Design framework. Specifically, through the analysis of a group of students, this paper highlights how a computational prediction and reflection cycle enables exploration and student originality while also facilitating connections to multiple representations.

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