Orientador: Prof. Dr. Antônio Cândido Faleiros / Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2015. / The main goal of this work is to show that it is very benecial to the students to
use logical thinking games in the mathematics classes, particularly the one known as
Rubik Cube, closely related to the group theory. We present a historical study on the
developing of this game, as well as the practical aspects we use in its solution. We also
present the group theory and show what are the relations between it and the Rubik
Cube. Finally, we show a quiz the students answered after learning this game, in order
to analyse in what aspects the game may contributed to the students activities in the
school and in the learning process. This non-traditional classes are a good way of
increasing the self-esteem of the students and, also, their sociability. It's also a good
way of training the logical thinking and concentration, two of the main requisites for
learning mathematics, as could be realized in all the groups which did this activities.
It is possible to teach notions of group theory to the basic student, because the Rubik
Cube may be shown to be a set of elements with a binary operation, which, in this
game, is the movements sequence. Furthermore, it is possible to verify the associative,
neutral element and inverse element properties.
It is usually said that the \Education is the most powerful weapon you can use to
change the world"(Nelson Mandela), that is, it is seen as a powerful social transformation
instrument. However, our experience shows that goals and laws does not change the
reality by themselves. We also need the society as a whole working and contributing,
not only the directly interested people, teachers and other school professionals. When
we have an education of high quality we can easily see the economic and cultural
consequences for our country, as well as in the daily activities.
In this work I will present the conclusions I obtained proposing the mathematical
games for my students, specially the Rubik Cube, but also other games, like the Sudoku
and the Rummikub.
| Identifer | oai:union.ndltd.org:IBICT/oai:BDTD:77462 |
| Date | January 2015 |
| Creators | Moya, Cláudia Salomão |
| Contributors | Faleiros, Antonio Cândido, Silva, Márcio Fabiano da, Traldi Júnior, Armando |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf, 65 f. : il. |
| Source | reponame:Repositório Institucional da UFABC, instname:Universidade Federal do ABC, instacron:UFABC |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | http://biblioteca.ufabc.edu.br/index.php?codigo_sophia=77462&midiaext=70917, http://biblioteca.ufabc.edu.br/index.php?codigo_sophia=77462&midiaext=70918, Cover: http://biblioteca.ufabc.edu.brphp/capa.php?obra=77462 |
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