Educação matemática e consciência crítica: ensinando os riscos dos jogos de azar com probabilidade e combinatória

Abstract

This article proposes an interdisciplinary pedagogical approach based on Combinatorial Analysis and Probability, articulated with the premises of Critical Mathematics Education (Skovsmose, 2001), to answer the following research question: How can teaching through combinatorial analysis and probability raise students' awareness of the risks of gambling? The overall objective is to develop students' critical thinking regarding the social and personal impacts of gambling. The research was conducted through a teaching sequence inspired by the "Game of Discs" (Caetano, 2013), structured as a research scenario (Skovsmose, 2014), in which students built slot machine prototypes and calculated winning probabilities. The results indicate the development of combinatorial reasoning and an expansion of students' critical awareness of the mathematical mechanisms underlying gambling and their social implications.