Uma proposta de ensino de análise combinatória para alunos do Ensino Médio

Abstract

One of the subjects of Mathematics at High School, which students find most difficult to understand, is Combinatorial Analysis. External evaluations in large scale such as Prova Brasil and the Programa de Avaliação da Rede Pública de Educação Básica (PROEB), applied by the competent governmental organs, provide results which reinforce such affirmation. Our proposal is the teaching of combinatorial analysis through a sequence of activities which provide the student gradual and concrete learning of the content. All the activities were elaborated based on the curriculum proposal of the State of Minas Gerais, Brazil, with the main objective of developing a concise combinatorial reasoning in the High School student, without privileging the use of formulas. The methodology used for the elaboration of the activities was Problem Solving. The problems proposed here present a gradual difficulty degree, allowing the student to construct more complex concepts through simpler situations. For consisting of an activity proposal, we will not perform result analysis. On the other hand, we expect that this work aid other teachers, who aim at an effective learning of Combinatorial Analysis in High School.