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

• Autor(a) principal: Marques, André Benito Fentanes Alvarez
• Data de Publicação: 2022
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da PUC_SP
• Texto Completo: https://repositorio.pucsp.br/jspui/handle/handle/26108
• topic: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA; Probabilidade; Engenharia didática; Franc Carreau; Probability; Didactic engineering; Franc Carreau

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