Elaboración de una guía y material didáctico de la geometría del es-pacio para el laboratorio de matemáticas de la carrera de matemáti-cas y física de la Universidad de Cuenca

Abstract

Space Geometry is a branch of mathematics that studies the properties and mea-surements of geometrical figures in a third dimensional space. This figures are re-lated to most three dimensional objects that we can find surrounding us. This is why our research work entitled “Elaboration of a guide and training material of space geometry for the mathematics lab of the career of mathematics and physics of the University of Cuenca” Paves the way for a new strategy to be used by every teacher of this career during the teaching-learning process of the subject. In chapter one, we discuss general aspects of education and the pedagogical cur-rents that are present within the educational process, as well. Then we talk about didactics and the importance of working with authentic material in the area of ma-thematics, and especially in the Space Geometry area. We also talk about the re-sources that are useful for this subject. In chapter two, it is demonstrated by means of a non-probabilistic sample that there is much difficulty for students in understanding the contents of space geometry. Therefore, a good choice to carry out the teaching-learning process of this subject is the use of authentic material and an educational guide that simplifies content understanding. Finally, in chapter three we present a set of ten practice exercises on planes and solids, which follow the steps that any innovating laboratory practice demands; that is to say, in a way that is orderly and sequential so as to reinforce the teaching-learning process.