Probabilidades do Jogo War II

Abstract

The importance of several counting techniques in the present days is remarkable. Therefore, students are increasingly required to study and understand Combinatorial Analysis and Probability Theory. There is no high school contest – including ENEM – that does not present at least one question from each aforementioned topic. The ludic games concerning Mathematical Education comes, in a way, stimulating students to learn about different knowledges taught in educational institutions and in the job market. This dissertation primarily aims at using the famous card/board game “War II”, that is inspired on events from Second World War, to deal with such issues, and more, to build new counting techniques, allowing a wide acknowledgment of such complex and important subject, so important and complicated, emphatically dealt with nowadays. It is somewhat a field research, engaging Brazilian Army’s Military School's second year high school students, from the city of Rio de Janeiro, that will approach the study of probability and some concepts of Combinatorial Analysis in a playful way, through the card/board game “War II”; intending to enable those high school student at describing and analyzing the building process of concepts associated with Probability while they experience problematic situations related to the context of that card/board game. Actually, everything is based on the possibilities within the simultaneous rolling of one, two or three dices. Therefore, concepts such as sample space, random event, favorable cases, simple permutations, permutations with not all distinct elements, simple combinations, among others, will be approached. Nonetheless, in a joyful way through the possible battles contextualized in the card/board game.