Construções geométricas com auxilio de geometria dinâmica

Abstract

This work intends to take to the room the geometric constructions via ruler and compass with the aid of a software of dynamic geometry, in this case, we will use the geogebra to make the constructions. We will show the importance of constructing the geometric places for fixing and better learning of the students for the teaching of Geometry in primary and secondary education. We did the applications in the classroom and we achieved a significant performance in the learning of elementary and middle school students in geometry.

We will study in this work the assemblage Geometric construction through a traditional perspective, using compass and ruler. We will demonstrate how to use these instruments to construct various elements of geometry and justify constructions. We will solve some problems with help of compass and ruler and then we will relate all the constructions with an auxiliary tool in the teaching and learning of geometry, the software of dynamic geometry, Geogebra, where in some constructions we will be able to make some small animations. Besides the constructions we will verify, using the traditional mode and the dynamic mode, the solution of some problems of geometry and the demonstration of the inequality of the means. We will also make a brief commentary on 3 classical problems of mathematics that are impossible to solve using only ruler and compass, these problems were important because they helped math to make great leaps in their algebraic advances.