A Modelagem Matemática associada ao ensino da Análise Combinatória na Educação Básica.

Abstract

Combinatorial Analysis, or Combinatorics, is a very important branch of Mathematics and has a wide field of application in different areas of knowledge. However, this area of Mathematics is considered by most Basic Education students as a very complex content that resembles a game of complicated formulas. Based on this assumption, this present work aimed to understand how Mathematical Modeling can contribute to the process of teaching Combinatorial Analysis in Basic Education. For this, we chose to carry out a research with a qualitative approach, of the exploratory type, from which we developed, at the end, a proposal for a Didactic Sequence to teach the concepts of Fundamental Principle of Counting and Simple Combinations in Basic Education through Modeling. The theme used in the Sequence was the female inclusion in the social context. Within this aspect, we use football as a sport capable of promoting such inclusion. From this, we modeled several soccer situations that involved the combinatorial concepts listed above. From the Sequence, we conclude that Modeling is a very viable strategy to work with combinatorial contents, mainly in Basic Education, which is the stage in which the individual develops critical thinking and shapes his personal identity. However, we realized during the elaboration that this process requires a lot of creativity, effort and dedication on the part of the teacher, without which it becomes unfeasible to work with Modeling.