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Modern Descriptive Geometry Supported by 3D Computer Modelling

Publication at Faculty of Mathematics and Physics |
2014

Abstract

In my research, I investigate innovative methods of explaining complex concepts in descriptive geometry. These novel methods will be employed in my upcoming textbook on descriptive geometry for undergraduate students.

The innovation in explanation and didactic methods will include 3D computer modelling and interactive software visualization. In this paper, I will present my recent advances in teaching aspects of several descriptive geometry topics - parallel and central projections, especially linear perspective or the geometry of curves and the geometry of surfaces in technical practice.

For selected topics, I will provide examples of usage of 3D computer modelling. My aim is to stimulate students' interest in the study of geometry, motivate them, improve their understanding of geometry, innovate the methods of teaching geometry, achieve better results in examinations and put emphasis on practical use of geometry.

I would like to attract students to the traditional topics of descriptive geometry by using modern methods. At the same time, since I would like to motivate students to think about concepts in descriptive geometry, the suggested teaching aids should not suppress independent thinking.

In other words, these aids should not be designed so as to solve all questions for my students - some should be left for the students to address. Surfaces used in technical practice are very suitable for presentation by means of 3D printing.

Therefore, I plan to model these surfaces in the 3D modelling computer software in cooperation with my students so that these computer models can subsequently be printed on a 3D printer to foster spatial imagination.