Developing Mathematical Reasoning Using Attribute Games

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  • 1 Teach mathematics at Edinboro University of Pennsylvania, Edinboro, PA 16444

The game of Set has proved to be a very popular game at our college mathematics club meetings. Since we started playing, the membership has grown every month. In fact, one of our members brought her sixyear- old son to a meeting, and he now looks forward to playing Set with us. As a result of playing the game in our club and thinking about the results, we created and solved a variety of mathematical questions. For example, we wondered about possible strategies for winning and conjectured about phenomena that happened when playing. These questions involve a wide variety of traditional mathematical topics, including the multiplication principle, combinations and permutations, divisibility, modular arithmetic, and mathematical proof.

Footnotes

Anne Quinn, quinna@edinboro.edu, Bob Koca, and Fred Weening, fweening@edinboro.edu, teach mathematics at Edinboro University of Pennsylvania, Edinboro, PA 16444. Quinn is interested in discrete mathematics and the use of technology in teaching; Quinn also advises the mathematics club. Koca was living in Kenya at the time this article was prepared. Fred Weening is interested in complex analysis and discrete mathematics; Fred advises the chess club and the juggling club.

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