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All Journal Al-Jabar : Jurnal Pendidikan Matematika Indonesian Journal of Science and Mathematics Education JRAMathEdu (Journal of Research and Advances in Mathematics Education)
de Sousa, Renata Teófilo
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Education 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.
Systematic study of the parabola with the contribution of GeoGebra software as a teaching proposal de Sousa, Renata Teófilo; Vieira Alves, Francisco Régis; Souza, Maria José Araújo
Al-Jabar: Jurnal Pendidikan Matematika Vol 13 No 2 (2022): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v13i2.13172

Abstract

This work aims to present different demonstrations of the parabola, as well as possibilities of its geometric construction, using geometric design techniques and the GeoGebra dynamic geometry software. The methodology of this work is a basic theoretical research, exploratory type, in which we seek to bring a view about the parabola focused on improving its teaching as mathematical knowledge with the contribution of GeoGebra software. As a result, we bring a set of five constructions made in GeoGebra and available for use, which can be used as a methodological resource by the teacher to work in the classroom. As this work is part of an ongoing master's research, as future perspectives, we aim to develop these constructions in the classroom and collect empirical data for further analysis and discussion.
Didactic Engineering and Learning Objects: A Proposal for Teaching Parabolas in Analytical Geometry de Sousa, Renata Teófilo; Alves, Francisco Régis Vieira
Indonesian Journal of Science and Mathematics Education Vol. 5 No. 1 (2022): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v5i1.11108

Abstract

This work aims to investigate the feasibility of using a Learning Object built in GeoGebra software and its potential for teaching parabolas in Analytical Geometry, having as support for its replication in a teaching session the Theory of Didactic Situations. The methodology adopted was Didactic Engineering, in its first two phases – preliminary analysis and a priori analysis. In the preliminary analysis, some epistemological and didactic aspects that permeate the teaching of parabolas, the concept of Learning Objects and the Theory of Didactic Situations were raised. In the a priori analysis, we present the Learning Object called Suspension Bridge and its manipulation in GeoGebra for the exploration of the parabola, as well as a student's attitudinal prediction. Thus, we seek to collaborate with the development of new approaches to teaching this topic, contributing to the advancement of the use of educational technologies integrated into the teaching of mathematics.
Co-Authors Aires, Ana Paula Alves, Francisco Regis Vieira Souza, Maria José Araújo Vieira Alves, Francisco Régis