Uma discussão a respeito do estudo de área a partir da integração de material concreto e dinâmico

Abstract

This study presents a discussion about alternatives for teaching areas of plane geometric figures, considering the integration of concrete - Geoplano material with dynamic - GeoGebra software. We present historical aspects of Euclidean geometry and its applications, necessary to understand the concept of area and the demonstration from the configuration of the different polygons to the area of the rectangle, through the dynamization offered by GeoGebra in the teaching and learning process of the addressed concept. We aim to investigate different possibilities offered by the integration between the materials to work on such concepts in Elementary School final years. Another aspect considered is the on-screen movement visualization of figures for demonstration of the formulas for the area calculation. In this sense, the theoretical framework considers Duval (1996, 2004 and 2006), Rezende and Queiroz (2016) and Lima (2011). The research presented here is the result of an exploratory qualitative study, which includes a discussion about the concept of integrated área and the deduction of its formulas through manipulative and dynamic resources aimed at Elementary School II. The results indicate four categories focused on the materials chosen to assist in the study process of areas, which are, cognitive development of students, visualization, construction of objects and possibilities of access to material. Thus, the integrated use of Geoplane and GeoGebra helps positively the process of construction of geometric thinking.