Game "Rectangular Grid 3 x 4"

a proposal for the development of probabilistic reasoning

Abstract

This work aims to make known a teaching-learning proposal about basic contents of combinatorics and probability, through a board game named Grelha Retangular 3 x 4 [Rectangular Grid 3 x 4]. The proposal aims to encourage the appropriation, exercise, and development of combinatorial reasoning, while a tree diagram is built to show possibilities of how a game can unfold from the decision-making of the players when moving pet bottle caps on the board. The development of the analysis of possibilities can take place right after the beginning of a match (before the first move) or from a given moment of the game until the match reaches its end. It also encourages the exercise and development of probabilistic reasoning, with the purpose of determining winning chances for each player, and the occurrence of a tie. In continuation and the consequent recognition of the rules of the game, problems of probability must be proposed to the players, as recommended by the problem solving theory. The game's proposal is in line with indications that are present in the BNCC - National Common Core Curriculum for teaching and learning mathematics in the early years of elementary school. This is bibliographical research, which culminated in the proposal of the game, which aims to dimension the importance of the proposition and creation of a game that contributes to improving the teaching-learning process of mathematics of students in the early years and to provide teachers with teaching materials.