Estudo de triângulos e quadriláteros na construção de mosaicos geométricos sob a perspectiva da Teoria de Van Hiele

Abstract

This work reports an experience carried out in a public school in the city of Rio de Janeiro in two classes of the seventh year of Elementary Education in 2019. In both, triangles and quadrilaterals were worked, their classification, main characteristics and sum of the internal angles. In one of them using the traditional study with concepts, figures and definitions, using the handout, book and notebook. In the other, manipulation of figures and construction of geometric mosaics was used. The objective was to compare the two approaches and check the interest and performance of the classes. As the author has been working with this phase of education for many years, not always having the time and the necessary resources, noting the students' lack of interest and their difficult assimilation of the subject, the author of this work chose to make this attempt. As the subject is Geometry and the students had minimal mastery, almost zero of its fundamentals, it was seen in Van Hiele's theory an interesting combination with the above idea, since it works with successive levels of learning, where the student builds knowledge and progressing, being able to start from the basic recognition of figures. The analysis of this experiment through the qualitative and quantitative pedagogical look made us realize that the experience was valid, not only for the geometric development of the students, but to arouse their interest, participation and motivation, as well as a legacy for teaching practice.