O jogo dos 15 e a teoria dos grupos

• Ano de defesa: 2017
• Autor(a) principal: Zago, Silvana de Oliveira
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Mato Grosso; Brasil; Instituto de Ciências Exatas e da Terra (ICET); UFMT CUC - Cuiabá; Programa de Pós-Graduação Mestrado Profissional em Matemática em Rede Nacional - PROFMAT
• Palavras-chave em Português: Álgebra; Teoria de grupos; Permutações; Lúdico; Jogos; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA; Algebra; Group theory; Permutations; Playful; Games
• Link de acesso: http://ri.ufmt.br/handle/1/4305

We will present in this work the relationship between the Theory of Groups and the Game of 15. To base the research, initially a contextualization was carried out on the main contents: Group Theory and Group of permutations. Next was presented the Game of 15, being described the history of the Game with its rules and plays. In the sequence was related to Theory of Groups and Game of 15, showing a theorem that decides when the Game of 15 has solution. With the research we verified the importance of the proposed theme, since this allows the student to expand his knowledge, so to close a discussion about games in the classroom as a teaching strategy, materializing the study about the relationship between mathematics and play.