A aritmética do jogo do nim no ensino fundamental

• Ano de defesa: 2016
• Autor(a) principal: Welter, Jocemar Rodrigo
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Santa Maria; BR; Matemática; UFSM; Programa de Pós-Graduação em Matemática em Rede Nacional
• Palavras-chave em Português: Aritmética; Jogo do nim; Ensino fundamental; Arithmetic; Game nim; Elementary school; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufsm.br/handle/1/10952

With intention to revive the interest in mathematics in a group of elementary school students is that this work was conceived. We had the wish to teach the fundamentals of arithmetic with the clear purpose of reviewing the four basic operations, without the students realized they would be doing repetitive and tedious processes. We would also like to extend mathematical knowledge beyond textbooks and, instigate them to do historical researches and asking for resolutions of related problems. The initial strategy was teach the Nim game, a traditional didactic game that has several versions, all with unique instructional purposes, understand and apply in various ways the division algorithm. We took advantage of this initial stimulus to introduce for thirteen classes, various ingredients and formulas that are often obtained via recurrence, divisibility criteria and even historically famous conjectures. In this work we make an account of all these activities, making reflections on the theory and pedagogical practice and giving opinions on the receptivity of the students of the sixth year of E.M.E.F. Doutor Ulisses Rodrigues, at each step, and present several other Nim game versions for possible applications in practical classes on basic arithmetic.