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All Journal JRAMathEdu (Journal of Research and Advances in Mathematics Education)
Aires, Ana Paula
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Mathematics

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Visualization of finite groups: The case of the Rubik's cube and supporting properties in GeoGebra de Sousa, Renata Teófilo; Alves, Francisco Régis Vieira; Aires, Ana Paula
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 9 Issue 4 October 2024
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v9i4.5516

Abstract

In this text, we present a discussion about the Rubik's Cube and its relationship with Group Theory, particularly permutation groups, as well as possibilities for exploring it using the GeoGebra software interface. We bring a brief discussion about the concept of group, aspects of the Rubik's cube, the Rubik's group as a group of permutations and possibilities for its exploration in GeoGebra. Based on this study, we recognize the potential to delve into permutation groups in Abstract Algebra through a visual interface that associates their properties with a tangible and manipulable object. Additionally, there is the potential for simulating their movements using Dynamic Geometry software, such as GeoGebra. These findings highlight the relevance of GeoGebra as a useful tool for visualizing and understanding permutation groups, promoting a more intuitive and accessible approach to Group Theory in the educational context.
Co-Authors Alves, Francisco Regis Vieira de Sousa, Renata Teófilo