A proposal for the teaching spatial geometry

solids of revolution and geogebra

Abstract

Given the students' difficulties in understanding three-dimensional figures when sketched in the two-dimensional plane in the classroom, such as the blackboard or whiteboard, we saw the need to propose this study. The objective of this work is to present a didactic proposal for the introduction of the teaching of solids of revolution with the contribution of GeoGebra software, guided by the dialectics of the Theory of Didactic Situations. As a methodology, we adopted Didactic Engineering in its first two phases – preliminary analysis and a priori analysis – given the fact that this is a work in progress. As a result, we bring a construction that can be used by the teacher to explore geometric concepts of area and the visualization of the passage from 2D to 3D figures, stimulating the student's geometric visualization through the manipulation of commands in GeoGebra. In this way, we seek to collaborate with the practice of the mathematics teacher. This study is the result of ongoing research carried out in the Postgraduate Course in Science and Mathematics Teaching (PGECM), so we aim to develop this construction in the classroom and continue the two later phases of Didactic Engineering, with data collection empirical.