Um estudo de análise combinatória via teoria de conjuntos

Abstract

This work presents some primitive concepts of sets, as well as some definitions of indispensable functions for the construction of the theme. The justification for his study is to propose another way to make Combinatorial Analysis Teaching-Learning feasible, since most Mathematics teachers of Basic Education consider Combinatorial a complicated content to be taught and understood in a way that has some meaning. real for students, who are induced to the mechanical memorization of ready formulas and their application to the solving of huge lists of exercises in an attempt to understand such content. In this sense, firstly, we will present some concepts and definitions of sets and functions that will serve as the basis for the construction of our work, also serving as an aid for the teacher to work the combinatorial teaching in the classroom, as we propose in this teaching project. , making combinatorial applications with an overview. Throughout the work we will cover some topics of combinatorial analysis without first mentioning formulas, that is, we will always work with simple and easy to understand examples for the construction of formulas, giving them some concrete and real meaning, instead of just presenting them. them for the purpose of memorization. It is more imperative to make the student work on a problem by constructing its solution through the concepts that will be proposed and apply it to the question, rather than memorizing a particular exercise or another, because we know that when we come across a problem. Another problem that involves a new concept will not be able to solve it. With that in mind, we propose some projects and activities that can be worked out in the classroom with the help of Geogebra Educational Free Software - version 6.0.529. Finally, we approach problem situations in order to prompt our readers to visualize other combinatorial problems. so that it can suggest or propose interpretative solutions based on the language of the sets, besides making algebraic solutions, based on the principles, concepts and definitions of counting.