Os jogos de regras e o desenvolvimento de habilidades matemáticas sob a perspectiva wittgensteiniana: um estudo a partir do xadrez

Abstract

Our research has as main objective to investigate how mathematical skills, according to the perspective of Wittgensteinian philosophy, can be developed through the practice of games in the school environment, with emphasis, mainly, on the benefits pointed out by the practice of chess. We then seek to show how the practice of rule games can contribute to the development of important skills for the domain of mathematical language, analyzing, in a therapeutic way, how the psychological concepts attributed to these are presented in the Mathematics Education literature, since most of works on the theme of games are linked to the cognitive model, where they develop their analysis in the mental, regardless of language. Thus, we will point out the skills in a Wittgensteinian perspective, such as the concepts of "following rules", "understanding" and "seeing-as", which are presented by the philosopher as linguistic skills. To this end, we will conduct our research through a theoretical discussion about the importance of games in the Mathematics Education literature and the mastery of techniques based on the ideas of the Austrian philosopher Ludwig Wittgenstein. In this way, we can see that such skills developed - logical reasoning, memorization, etc. - means knowing how to master the linguistic rules according to each language game.