JRAMathEdu (Journal of Research and Advances in Mathematics Education)
Volume 9 Issue 4 October 2024

Visualization of finite groups: The case of the Rubik's cube and supporting properties in GeoGebra

de Sousa, Renata Teófilo (Unknown)
Alves, Francisco Régis Vieira (Unknown)
Aires, Ana Paula (Unknown)



Article Info

Publish Date
31 Oct 2024

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.

Copyrights © 2024






Journal Info

Abbrev

jramathedu

Publisher

Subject

Mathematics

Description

The JRAMathEdu (Journal of Research and Advances in Mathematics Education) is an open access and peer reviewed scholarly international journal devoted to encouraging the academic conversation of researchers in the field of mathematics education. The JRAMathEdu covers all the research topics on the ...