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Engaging in abstract algebra through game play: Group theory card game groups

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PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2017

San Diego, California

Engaging in abstract algebra through game play: Group theory card game groups

Page: 1579

In this presentation, I discuss the viability of a mathematical game as a learning tool for abstract algebra—specifically, the groups of order four. Throughout 2016, I designed and tested variants of my group theory card game, Groups, among individuals ranging from no post-secondary mathematics experience to current or prior graduate level mathematics study. Here, I review the design choices and challenges central to working in a game space drawing heavily on abstract algebra, and assess alterations to the game's mechanics influenced by my interactions with players.

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