ScholarWorks - Idaho Conference on Undergraduate Research: Keeler's Theorem and Game Theory
 

Additional Funding Sources

The project described was supported by the Pacific Northwest Louis Stokes Alliance for Minority Participation through the National Science Foundation under Award No. HRD-1410465.

Presentation Date

7-2021

Abstract

This project focuses on developing a video game related to a mathematical result in group theory known as Keeler’s Theorem. It revolves around a science fiction narrative from the television series “Futurama” about a mind-swapping machine. Within a simple and transactional game are unique learning objectives related to mathematics and computer science that challenges students to utilize abstraction and sequential mapping to understand all possible paths under a given set of restrictions to reach a desired outcome. The program is intended for secondary and higher education in the pursuit to bridge the gap of novel applications in mathematics and computer science by offering a visualization of abstract topics using game theory.

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Keeler's Theorem and Game Theory

This project focuses on developing a video game related to a mathematical result in group theory known as Keeler’s Theorem. It revolves around a science fiction narrative from the television series “Futurama” about a mind-swapping machine. Within a simple and transactional game are unique learning objectives related to mathematics and computer science that challenges students to utilize abstraction and sequential mapping to understand all possible paths under a given set of restrictions to reach a desired outcome. The program is intended for secondary and higher education in the pursuit to bridge the gap of novel applications in mathematics and computer science by offering a visualization of abstract topics using game theory.

 

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