Geometric analysis of the study of relative positions between straight and plane with Geogebra

Abstract

This work had as a starting point enabling a new way to analyze and represent the analytical results found in resolving positions of study problems related between lines and planes, issue this addressed in Analytic Geometry in undergraduate courses of the exact areas like Mathematics , Physics, Chemistry, Engineering, Information Systems, etc. Our goal is to give a geometrical approach in the development of solving the problems of relative position between straight, straight, straight and plan and plan and plan where this issue is see in many pedagogical practices only superficially, with a theoretical treatise. Analyses with this new teaching methodology was implemented during the Vector Calculus class and Analytic Geometry at IFMA's computer labs and have recourse to presenting the theoretical concepts learned in the classroom with the application of Geogebra 5.0 software for the verification and validation of the results. Analytical studies are based on Paul Boulos and Ivan de Camargo, the main theoretical framework adopted in higher education courses in the exact areas. We use the dynamic software, as an alternative methodology to assist in the completion of theoretical activities, aiming for full development of this top-level content, since such dynamic knowledge can be inserted in several other applications with this feature, providing new possibilities for teaching and learning of mathematics and geometry.