Engineering Geometry as a new subject of geometrical graphics training for higher technical educational institutions
Authors: Sokolova L.S.
Published in issue: #3(27)/2014
DOI: 10.18698/2308-6033-2014-3-1212
Category: Engineering education
The article presents a new academic discipline, alternative to descriptive geometry, which meets the requirements of modern geometrical graphic training for the first level of education (bachelors and specialists). Its theoretical part is represented by a visual multidimensional geometry. It is shown that multidimensional geometry in a visual presentation allows us to study the actual material, refusing to consider mathematical calculations and formulas, but we can use computer visualization capabilities of 3D-models with the most comprehension. The given examples demonstrate possibilities of visual multidimensional geometry when used in the course of geometrical graphic education following syllabus for bachelor training. A draft of the suggested program of the discipline "Engineering Geometry" is presented.
References
[1] Rukavishnikov V.A., Antonov V.V. Nachertatelnaya geometriya: ot rastsveta do zakata [Descriptive geometry: from flowering until decline]. Sbornik materialov Povolzhskoy nauchno-metodicheskoy konf. "Problemy geometricheskogo kompyuternogo modelirovaniya v podgotovke konstruktorov dlya innovatsionnogo proizvodstva [Collected materials of Povolzhskaya scientific-method. conf. "Problems of geometric computer modeling in teaching designers for innovative production"]. Saratov, 2010, pp. 137-144.
[2] Vyshnepolsky V.I., Salkov N.A. Geometriya i Grafika - Geometry and Graphics, 2013, vol. 1, iss. 2, pp. 8-9. doi: 10.12737/777
[3] Kheyfets A.L. Geometriya i Grafika - Geometry and Graphics, 2013, vol. 1, iss. 2, pp. 21-23. doi: 10.12737/781
[4] Gornov A.O. K probleme sovershenstvovaniya soderzhaniya distsipliny "Inzhenernaya graphica" [On the problem of improving the content of the course "Engineering Graphics"]. Trudy Mezhdunarodnoy i nauchno-tekhnicheskoy konf. "Informatsionnye sredstva I tekhnologii" [Proc. Int. and scientific-technical conf. "Information tools and technologies."]. Moscow, MEI Publ., 2007, vol. 1, pp. 190-193.
[5] Hilbert D. und Cohn-Vossen S. Anschauliche Geometrie. Berlin, Verlag von J. Springer, 1932. [in Russia].
[6] Fomenko A.T. Naglyadnaya geometriya i topologiya. Matematicheskiye obrazy v realnom mire [Visual geometry and topology. Mathematical images in the real world]. Moscow, Lomonosov MSU, 1998.
[7] Izmailov I.A., Chernorizov A.M. Psikhologiya - Psychology, 2005, no. 4, pp. 22-52.
[8] Sokolova L.S. Ob’edinennyi nauchnyi zhurnal - Joint scientific journal, 2014, no. 1-3, pp. 39-40.
[9] Gordeyevsky D.Z., Leibim A.S. Populyarnoe vvedenie v mnogomernuyu geometriyu [Popular introduction to multidimensional geometry]. Kharkov, 1964, 192 p.