A engenharia didática como referencial para a ação pedagógica reflexiva: O caso da área de figuras planas irregulares com o GeoGebra

Abstract

The general objective of this research is to investigate aspects related to teaching the calculation of areas of irregular flat figures that can be worked with the support of the GeoGebra software. It is a research intervention of qualitative analysis in which the researcher developed a teaching proposal following the guidelines of the didactic engineering. This research was developed in three moments: the first understood the previous analyses, where we consider the dimensions epistemological, didactic and cognitive. In this last we applied and analyzed a questionnaire where we identified didactic variables. In the second moment, the didactic variables at stake, where we discuss the difficulties of the students in the questionnaire, taking into account the didactic variables found. Finally, in the third moment, conceptions and analyses a priori, we draw up an activity proposal that consists of finding the area of the region of Paraiba as the objective of discussing processes for the teaching and learning of areas of irregular flat figures with contours Curved with GeoGebra support. With regard to the content of geometry, the search for better teaching methodologies is an important issue in the area of education and in the field of Didactics. The contribution of this work to the teacher who wants to work area of irregular flat figures with his pupils is centered both in the use of the tools and functionalities of the GeoGebra as in the reflective perspective that we seek to extol to the elaboration of a Educational proposal in the context of the teaching practice.