This dissertation aims to use GeoGebra software in the Visual Resolution of geometric
problems of Basic Education. In this way, it induces a reflection on the various ways to
solve a problem, to understand that the Visual Resolution is also a valid solution and
can lead to an algebraic solution. Softwares such as GeoGebra allow us to dynamically
manipulate objects such as points, lines, segments, among others, allowing a graphical and
algebraic visualization of this change of parameters. In the educational scope, besides the
aforementioned, the proposal intends to favor the teaching of Mathematics since this
methodology can arouse the interest for the discipline, as well as, to allow the student
and the teacher to make conjectures. To that end, the teacher’s continuing education
is fundamental, he must be attentive to teaching methodologies, guiding students to use
the new technologies, favoring the organization of critical thinking. For the research,
after a bibliographical survey, we made the option for three problems of the Olimpíada
Brasileira de Matemática das Escolas Públicas, which involve area and perimeter. In
the first problem, we obtain a non-quadratic continuous function, in which we aim to
minimize. In the second, the resulting function is defined by two sentences and it is
derivable throughout its domain. Finally, in the third problem, we found a function
that is not continuous. Although the problems are of the High School, studying the
behavior of these functions is not common in Basic Education. The visual resolution
allowed us to conjecture some results and propose the analysis of several others. As for
the methodology, the research is classified as exploratory of a qualitative nature, since we
intend to unsderstand better the particularities of the proposed problems.
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