
Journal for Geometry and Graphics 17 (2013), No. 1, 119128 Copyright Heldermann Verlag 2013 An Innovative Paradigm of Descriptive Geometry Courses Vladimir Volkov Dept. of Descriptive Geometry and Computer Graphics, The Siberian Automobile and Highway Academy, pr. Mira 5, RF Omsk 644008, Russia volkov_vy39@mail.ru Viktor Yurkov Dept. of Applied Mathematics, Omsk State Pedagogical University, Omsk, Russia Konstantin Panchuk Dept. of Descriptive Geometry, Omsk State Technical University, Omsk, Russia Natalya Kaygorodtseva Dept. of Descriptive Geometry, Omsk State Technical University, Omsk, Russia Olga Ilyasova Dept. of Descriptive Geometry and Computer Graphics, The Siberian Automobile and Highway Academy, pr. Mira 5, RF Omsk 644008, Russia Kirill Yakovenko Dept. of Computer Sciences, Omsk F. M. Dostoevsky State University, Omsk, Russia This paper is an introduction to a scientific and tutorial project that was created by the authors in order to change the existing paradigm of teaching Descriptive Geometry. The purpose of this project was to develop the theoretical principles of Descriptive Geometry. This improvement consists in the usage and integration of three mathematical components: the multidimensional geometry, the enumerative geometry and constructive methods. Due to this innovative paradigm it is possible to analyse the given data of a problem, to calculate the number of solutions end even to create a new research problem. Keywords: Dimension, geometric conditions, structural characteristics, innovation paradigm. MSC: 51N05; 97G80, 14N99 [ Fulltextpdf (696 KB)] for subscribers only. 