Journal for Geometry and Graphics 17 (2013), No. 1, 119--128
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
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