MAPPING OF THE TEACHING AND LEARNING PROCESS OF PLANE GEOMETRY UNVEILED IN SCIENTIFIC PRODUCTIONS IN BRAZIL

Abstract

This research focuses on the need to answer the question: how is the didactic-methodological process presented/developed in the initial training of the teacher and the teaching of Plane Geometry in graduate research in Brazil? In this context, the objective is to unveil and map the processes of teaching and learning geometry, with regard to the calculation of polygon areas and perimeters, based on the academic productions undertaken in the national graduate programs. The research was developed in a qualitative approach, of the bibliographic review type, through a methodology adopted in a mapping. The methodological procedures chosen were an advanced search of theses and dissertations in the Digital Library of Theses and Dissertations (BDTD), using filters with inclusion and exclusion characteristics, for the classification and organization of the selected scientific productions. For data analysis, we used categorization regarding the training of mathematics teachers; theories and methods for the teaching of Plane Geometry; and dialogue of pedagogical praxis between Higher Education Institution (HEI) and school.  Among the results, it was noticed that, in the southern region of Brazil, the scenario of the productions found after the filters, there are HEIs with graduate programs actively producing research on the theme of teaching and learning of Plane Geometry. The study of area and perimeter calculation is a small part of what is researched in graduate programs with the line of research in Mathematics Education; with interlocutions between the training of the Mathematics teacher and the theories, methods and processes of teaching geometry. It is worth noting that the southern region of the country also fully included master's and doctoral programs with this line of research.