Implementation of computer technologies in descriptive geometry teaching: Surfaces of revolution

Abstract

The proper estimation of computer technologies is very important when computers are to be implemented in the educational process. Otherwise, if not implemented properly, the quality of students' education may be seriously imperiled. This is crucial when Descriptive geometry (DG) is the matter; the discipline that develops and improves the students' spatial visualization ability (SVA). Unfortunately, nowadays, there is a tendency that some educators, mostly non- geometricians, being destitute of profound knowledge of DG, and not fully understanding the fundamental importance of DG, find themselves involved in computerization of DG, using various CAD programs and thus, force students to (computer aided − CA) draw already well known standardized objects and consequently train their capabilities typical for draughtsman. In this paper we, propose how and to which extent the computerization of DG should be carried out. The previous has been governed by the criteria of facilitating students' comprehension of spatial relationships, orientation and visualization. We have developed the procedure for the representation of surfaces of revolution (SOR) and their shades and shadows on planes. What is to be emphasized on the matter is that each CA approach to DG teaching should follow the traditional DG reasoning and the step-by-step acquisition of fine solution, offering students the possibility of gradual process of visualization.

Keywords

• surface of revolution
• contour line
• shade
• shadow
• computerization of Descriptive geometry teaching