Educational construction of geometry and the use of concrete materials as a learning process

Abstract

The research stood out for a didactic reflection that meets the need for experimental constructions in the classroom, with concrete materials to assist in the process of teaching and learning geometry in elementary school. In this sense of attributing an analysis to this problem, we have as axis, mathematics education, as a way to stimulate students for the development of workshops in which they aimed at the construction of didactic materials as a process of learning mathematics. The process of constructing the concept of geometry that attribute the skills and competencies to be developed in the students at this stage, allowed the same to develop a particular type of thought to understand, describe and represent, in an organized way, the geometric spaces, informing the importance that this content has in their social life as a citizen. Through the construction of geometric figures with manipulated materials, we study all the concepts of the figure, through this tool, thus stimulating the interest and motivation of the students, providing them with geometric and mathematical reasoning. The definitions of geometry can be constructed successively, taking as a basis the previous knowledge of the students or not, in which we highlight that educators should create activities in which students make inquiries of situations related to geometric dimensions, thus having experiences of meaning and direction of themselves and of some figure inserted in the space. However, for the absorption of this teaching and learning process, in addition to presenting theories to the students, it was necessary to show the geometric figures by their physical characteristics, that is, in such a way that nature provides us and not only by its properties and defined concepts. Finally, the research allowed us to analyze the intellectual capacity of each student selected for this purpose.