Introdução ao conceito de probabilidade e o jogo Franc Carreau: uma abordagem pelo enfoque frequentista

Detalhes bibliográficos
Ano de defesa: 2022
Autor(a) principal: Marques, André Benito Fentanes Alvarez lattes
Orientador(a): Coutinho, Cileda de Queiroz e Silva lattes
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Pontifícia Universidade Católica de São Paulo
Programa de Pós-Graduação: Programa de Estudos Pós-Graduados em Educação Matemática
Departamento: Faculdade de Ciências Exatas e Tecnologia
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: https://repositorio.pucsp.br/jspui/handle/handle/26108
Resumo: Elementary school students have contact with random situations, regardless of their educational background. Therefore, when we want to introduce the concept of probability, we cannot rule out such situations. Thinking in this way, our work has as general objective: To analyze the elements of probabilistic literacy mobilized by the approach of the frequentist vision with students of the sixth year of Elementary School, to observe possible articulations between these elements. For this, we used an activity based on the assumptions of Didactic Engineering, which constituted a simulation of the Franc Carreau game. This game consists of throwing a coin on a square-shaped tile floor. Players then bet on the final position of such a coin: where it can lie completely on a single tile (a position called “Franc-Carreau”), on a joint between two tiles, or on more joints. For the execution of the game, a manipulative file was created in Geogebra in order to simulate the coin toss on the checkered floor. Along with the activity, the students filled in a table in Excel generating a convergence graph with the accumulated frequency, thus helping to learn frequentist probability. The activity demonstrated that some of the probabilistic literacies were mobilized during its application. Demonstrating the importance of working with frequentist probability with elementary school students. It was still possible to observe that the presence of the belief factor is still very present in the sixth year students