Russian Federation
Sankt-Peterburg, St. Petersburg, Russian Federation
Increasing the visibility of representation for objects studying in the process of solving basic problems related to descriptive geometry (DG) significantly improves the understanding and perception of the discipline by students. A team of authors representing St. Petersburg Mining University’s DG and Graphics Chair developed their own projects, which are interactive graphics that allow teachers to visualize the solution of some DG course’s problems directly during academic studies. Projects have been created by the Wolfram Mathematica (WM) system tools and divided into 7 sections: points, lines, planes, geometric elements’ mutual position; relative position of a straight line and a second order surface; relative position of a plane and a second order surface; relative position of second order surfaces; mutual position of revolution bodies and polyhedrons; relative position of polyhedrons; a tangent plane to a second-order surface. Difficulties that have arisen in the work, ideas and possibilities for further implementation of proposed principles for using computational WM algorithms when creating and employing these projects in the process of students’ geometric-graphic training are discussed. It is noted that WM allows you manipulate data and observe how the result is changing dynamically, that certainly makes it possible and is an advantage of WM for using it in students’ geometric-graphic teaching. Lecturers of DG and Graphics Chairs can: use the proposed in this work projects aimed at implement various graphic constructions for both preparation of academic studies and in real-time mode during them; create elements of information supply for the educational process; develop demonstration support for academic studies, that in turn will ensure the proper material assimilation by students.
Wolfram Mathematica (WM), Wolfram Language, Descriptive Geometry (DG), interactive projects
1. Bukusheva A.V. Sistemy komp'yuternoy matematiki v uchebnyh proektah po geometrii. [Tekst] / A.V. Bukusheva // Vestnik Permskogo gosudarstvennogo gumanitarno-pedagogicheskogo universiteta. Seriya: Informacionnye komp'yuternye tehnologii v obrazovanii. - 2016. - T. 1. - № 12. - S. 20-28. - URL: https://cyberleninka.ru/article/n/sistemy-kompyuternoy-matematiki-v-uchebnyh-proektah-po-geometrii (data obrascheniya: 4.05.2021).
2. Voronina M.V. «Perevernutyy» kurs inzhenernoy geometrii i komp'yuternoy grafiki [Tekst] / M.V. Voronina, O.N. Moroz // Geometriya i grafika. - 2017. - T. 5. - №. 4. - S. 52-67. - DOI:https://doi.org/10.12737/article_5a1800312afad8.68723389.
3. Ivanov V.N. Osnovy razrabotki i vizualizacii ob'ektov analiticheskih poverhnostey i perspektivy ih ispol'zovaniya v arhitekture i stroitel'stve [Tekst] / V.N. Ivanov, S.N. Krivoshapko, V.A. Romanova // Geometriya i grafika. - 2017. - T. 1. - №. 4. - S. 3-14. - DOI:https://doi.org/10.12737/article_5a17f590be3f51.37534061.
4. Ignat'ev S.A. Vizualizaciya zadach nachertatel'noy geometrii posredstvom Wolfram Mathematica [Tekst] / S.A. Ignat'ev, E.H. Muratbakeev, A.I. Folomkin // Geometriya i grafika. - 2020. - T. 8. - № 4. - S. 74-84. - DOI:https://doi.org/10.12737/2308-4898-2021-8-4-74-84.
5. Ignat'ev S.A. Dopolnennaya real'nost' v nachertatel'noy geometrii [Tekst] / S.A. Ignat'ev, Z.O. Tret'yakova, M.V. Voronina // Geometriya i grafika. - 2020. - T. 8. - № 2. - S. 41-50. - DOI:https://doi.org/10.12737/2308-4898-2020-41-50.
6. Ignat'ev S.A. Opyt razrabotki elektronnyh sredstv obucheniya dlya prepodavaniya geometro-graficheskih disciplin [Tekst] / S.A. Ignat'ev, Z.O. Tret'yakova, A.I. Folomkin, O.N. Moroz // Geometriya i grafika. - 2017. - T. 5. - № 2. - S. 84-92. - DOI:https://doi.org/10.12737/article_5953f362d92c46.58282826.
7. Ignat'ev S.A. Tehnologii dopolnennoy real'nosti v proektnoy deyatel'nosti studentov [Tekst] / S.A. Ignat'ev, Z.O. Tret'yakova, M.V. Voronina // Geometriya i grafika. - 2020. - T. 8. - № 2. - S. 51-57. - DOI:https://doi.org/10.12737/2308-4898-2020-51-57.
8. Ignat'ev S.A. Tehnologii testirovaniya v ocenke predmetnoy gotovnosti studentov k izucheniyu geometro-graficheskih disciplin vuza [Tekst] / S.A. Ignat'ev, Z.O. Tret'yakova, A.I. Folomkin // Geometriya i grafika. - 2019. - T. 7. - № 4. - S. 65-75. - DOI:https://doi.org/10.12737/2308-4898-2020-65-75.
9. Ignat'ev S.A. Elektronnaya obuchayuschaya sreda Moodle kak effektivnoe sredstvo organizacii obucheniya nachertatel'noy geometrii v usloviyah pandemii COVID-19 [Tekst] / S.A. Ignat'ev, Z.O. Tret'yakova, A.I. Folomkin, K.O. Glazunov // Geometriya i grafika. - 2020. - T. 8. - № 3. - S. 52-66. - DOI:https://doi.org/10.12737/2308-4898-2020-52-66.
10. Martynenko A.V. Programma Wolfram Mathematica kak universal'naya sreda dlya obrabotki i analiza geograficheskoy informacii /A.V. Martynenko // Geograficheskiy vestnik. - 2016. - №. 4 (39). - S. 1-10. - URL: https://cyberleninka.ru/article/n/programma-wolfram-mathematica-kak-universalnaya-sreda-dlya-obrabotki-i-analiza-geograficheskoy-informatsii (data obrascheniya: 24.04.2021).
11. Mostovskoy A.P. Geometriya i sistema Mathematica: Uchebnoe posobie [Tekst] / A.P. Mostovskoy // M.: Lennex Corp. - Izdatel'stvo Nobel' Press, 2014. - 309 s.
12. Petrova O.A. Interaktivnye komp'yuternye modeli sistemy Wolfram Mathematica na lekciyah po obschey fizike / O.A. Petrova // Vestnik Kazanskogo gosudarstvennogo energeticheskogo universiteta. - 2014. - S. 324-331.
13. Petrova O.A. Sozdanie interaktivnoy lekcii-prezentacii s pomosch'yu sistemy Wolfram Mathematica / O.A. Petrova // II nauchnyy forum telekommunikacii: teoriya i tehnologiya TTT-2017. Problemy tehniki i tehnologiy telekommunikaciy PTITT-2017. -2017. - S. 360-362.
14. Savel'ev Yu.A. Komp'yuternaya metodika izucheniya nachertatel'noy geometrii. Tehnicheskoe zadanie [Tekst] / Yu.A. Savel'ev, E.V. Babich // Geometriya i grafika. - 2018. - T. 6. - № 1. - S. 67-74. -DOI:https://doi.org/10.12737/article_5ad09d62e8a792.47611365.
15. Sal'kov N.A. Geometricheskaya sostavlyayuschaya tehnicheskih innovaciy [Tekst] / N.A. Sal'kov // Geometriya i grafika. - 2018. - T. 6. - № 2. - S. 85-93. -DOI:https://doi.org/10.12737/article_5b55a5163fa053.07622109.
16. Sal'kov N.A. Nachertatel'naya geometriya - baza dlya komp'yuternoy grafiki [Tekst] / N.A. Sal'kov // Geometriya i grafika. - 2016. - T. 4. - № 2. - S. 37-47. - DOI:https://doi.org/10.12737/19832.
17. Sinchukov A.V. Osobennosti ispol'zovaniya Wolfram-tehnologiy v prepodavanii vysshey matematiki / A.V. Sinchukov // Sovremennye innovacionnye tehnologii v ekonomike, nauke, obrazovanii. Materialy Pervoy mezhdunarodnoy nauchno-prakticheskoy konferencii. - 2017. - S. 430-436.
18. Stepura E.A. Primenenie sistemy komp'yuternoy matematiki Wolfram Mathematica pri reshenii zadach nachertatel'noy geometrii [Tekst] / E.A. Stepura, R.A. Zontov // Vestnik MGSU. - 2011. - T. 2. - № 2. - S. 352-357. - URL: https://cyberleninka.ru/article/n/primenenie-sistemy-kompyuternoy-matematiki-wolfram-mathematica-pri-reshenii-zadach-nachertatelnoy-geometrii-1 (data obrascheniya: 4.05.2021).
19. Taranchuk V.B. Instrumenty i sredstva Wolfram Mathematica dlya razrabotki intellektual'nyh obuchayuschih sistem [Tekst] / V.B. Taranchuk // Vestnik Polockogo gosudarstvennogo universiteta. - 2015. - T. 1. - № 7. - S. 47-53. - URL: https://www.elibrary.ru/item.asp?id=24097815 (data obrascheniya: 4.05.2021).
20. Tarasov V.N. Ispol'zovanie simvol'nyh sistem matematiki v vysshem obrazovanii dlya resheniya geotehnicheskih zadach [Tekst] / V.N.Tarasov // Aktual'nye problemy voenno-nauchnyh issledovaniy. - 2020. - T. 6. - № 7. - S. 405-409. - URL: https://www.elibrary.ru/item.asp?id=42615919 (data obrascheniya: 4.05.2021).
21. Turutina T.F. Primenenie informacionnyh tehnologiy v metodike proverki graficheskoy gramotnosti buduschih specialistov [Tekst] / T.F. Turutina, D.V. Tret'yakov // Geometriya i grafika. - 2020. - T. 8. - № 1. - S. 45-56. - DOI:https://doi.org/10.12737/2308-4898-2020-45-56.
22. Usataya T.V. Sovremennye podhody k proektirovaniyu izdeliy v processe obucheniya studentov komp'yuternoy grafike [Tekst] / T.V. Usataya, L.V. Deryabina, E.S. Reshetnikova // Geometriya i grafika. - 2019. - T. 7. - № 1. - S. 74-82. - DOI:https://doi.org/10.12737/article_5c91fd2bde0ff7.07282102.
23. Fortin C., Ignatiev S.A., Voronina M.V. (2021). Wolfram mathematica for interactive visualization of descriptive geometry problems. Global Journal of Engineering Education, V. 23, I. 1, pp. 37-42.
24. Gorjanc S. (2004). Some Examples of Using Mathematica and web Mathematica in Teaching Geometry. Journal for Geometry and Graphics, V. 8, I. 2, pp. 243-253. - URL: https://www.researchgate.net/publication/228988093_Some_Examples_of_Using_Mathematica_and_webMathematica_in_Teaching_Geometry (data obrascheniya: 24.04.2021).
25. Gorjanc S. Some examples of using Mathematica in teaching geometry //Proc. 10th ICGG (International Conference on Geometry and Graphics), Kiev (Ukraine), July. - 2002. - S. 89-93.
26. Gray A., Abbena E. & Salamon S. (2006). Modern Differential Geometry of Curves and Surfaces with Mathematica (3rd ed.). Chapman and Hall/CRC. https://doi.org/10.1201/97813152760382006. - 1016 p.
27. Katuntsov E.V. Application of electronic learning tools for training of specialists in the field of information technologies for enterprises of mineral resources sector/ Katuntsov E.V., Kultan J., Makhovikov A.B. // Journal of Mining Institute, 2017, 226, str. 503-508.
28. Makhovikov A.B. Digital transformation in oil and gas extraction /Makhovikov A.B., Katuntsov E.V., Kosarev O.V., Tsvetkov, P.S. // Innovation-Based Development of the Mineral Resources Sector: Challenges and Prospects - 11th conference of the Russian-German Raw Materials, 2018, 2019, str. 531-538.
