Russian Federation
Russian Federation
The paper states that the current conditions in which the education system is located, and the rapid development of IT require constant improvement of methodological materials, taking into account the full capacity of the current software. Examples of programs necessary for preparation of methodological materials for high-quality classes are given. The purpose of the paper was to identify the Wolfram Mathematica didactic potential when conducting classes in the disciplines of the geometric and graphic profile at a technical high educational institution. In this paper has been performed analysis of literature sources both domestic and foreign ones on the Wolfram Mathematica system application in science and teaching of various disciplines. It has been shown that the program use scope is very wide, in fact, it is comprehensive and requires additional and in-depth study. Examples of Wolfram Mathematica using in mathematics, physics, chemistry, geometry, robotics, virology, and the humanities are given. In the paper have been provided examples for pedagogical design of simulation models for an electronic course on descriptive geometry in the Moodle system. An example of code written in the Wolfram Mathematica is provided. Interactive models developed during the design are presented, which allow the user to change the constructed curves and surfaces’ parameters. Have been defined some functional capabilities of the system, and has been revealed the Wolfram Mathematica didactic potential for teaching geometric and graphic disciplines. Have been considered other authors’ similar models, which can be used in the educational process to increase the clarity of the material presented in the classroom. In conclusion it is pointed out that interactive visualization in the "Descriptive Geometry" discipline, together with classical working practices, significantly enriches the content of geometric education.
Wolfram Mathematica, descriptive geometry, didactic potential, Moodle, IT
1. Bukusheva A.V. Sistemy komp'yuternoj matematiki v uchebnyh proektah po geometrii. [Systems of computer mathematics in educational projects in geometry]. Vestnik Permskogo gosudarstvennogo gumanitarno-pedagogicheskogo universiteta. Seriya: Informacionnye komp'yuternye tekhnologii v obrazovanii [Bulletin of the Perm State Humanitarian Pedagogical University. Series: Information computer technologies in education]. 2016, V. 1, I. 12, pp. 20-28. Available at: https://cyberleninka.ru/article/n/sistemy-kompyuternoy-matematiki-v-uchebnyh-proektah-po-geometrii (accessed 24 May 2020). (in Russian)
2. Vlasov D.A., Potencial Wolfram-tekhnologij v postroenii i issledovanii ekonomicheskih modelej [The potential of Wolfram technologies in the construction and study of economic models]. Sovremennye informacionnye tekhnologii i IT-obrazovanie [Modern information technologies and IT education]. 2017, V. 13, I. 4, pp. 289-295. (in Russian)
3. Ivanov V.N. Osnovy razrabotki i vizualizacii ob"ektov analiticheskih poverhnostej i perspektivy ih ispol'zovaniya v arhitekture i stroitel'stve [Fundamentals of the development and visualization of objects of analytical surfaces and the prospects for their use in architecture and construction]. Geometriya i grafika [Geometry and Graphics]. 2017, V. 1, I. 4, pp. 3-14. - DOI:https://doi.org/10.12737/article_5a17f590be3f51.37534061. (in Russian)
4. Ignat'ev S.A. Tekhnologii testirovaniya v ocenke predmetnoj gotovnosti studentov k izucheniyu geometro-graficheskih disciplin vuza [Testing technologies in assessing the subject readiness of students to study geometric-graphic disciplines of the university]. Geometriya i grafika [Geometry and Graphics]. 2019, V. 7, I. 4, pp. 65-75. - DOI:https://doi.org/10.12737/2308-4898-2020-65-75. (in Russian)
5. Ignat'ev S.A. Opyt razrabotki elektronnyh sredstv obucheniya dlya prepodavaniya geometro-graficheskih disciplin [Experience in the development of electronic teaching aids for teaching geometric-graphic disciplines]. Geometriya i grafika [Geometry and Graphics]. 2017, V. 5, I. 2, pp. 84-92. - DOI:https://doi.org/10.12737/article_5953f362d92c46.58282826. (in Russian)
6. Martynenko A. V. Programma Wolfram Mathematica kak universal'naya sreda dlya obrabotki i analiza geograficheskoj informacii [Program Wolfram Mathematica as a universal environment for processing and analysis of geographic information]. Geograficheskij vestnik [Geographical Bulletin]. 2016, I. 4 (39). (in Russian)
7. Mostovskoj A.P. Geometriya i sistema Mathematica [Geometry and Mathematics]. Moscow: Lennex Corp. Nobel' Press Publ., 2014. 309 p. (in Russian)
8. Panchenko V.A. Sovremennye sredstva obucheniya graficheskim disciplinam studentov zaochnoj formy obucheniya [Modern means of teaching graphic disciplines of correspondence students]. Geometriya i grafika [Geometry and Graphics]. 2018, V. 6, I. 4, pp. 72-87. -DOI:https://doi.org/10.12737/article_5c21fa732f6b62.81431444. (in Russian)
9. Petrova O.A. Interaktivnye komp'yuternye modeli sistemy Wolfram Mathematica na lekciyah po obshchej fizike [Interactive computer models of the Wolfram Mathematica system at lectures on general physics]. Vestnik Kazanskogo gosudarstvennogo energeticheskogo universiteta [Bulletin of Kazan State Power Engineering University]. 2014, pp. 324-331. (in Russian)
10. Petrova O.A. Sozdanie interaktivnoj lekcii-prezentacii s pomoshch'yu sistemy Wolfram Mathematica [Creation of an interactive lecture-presentation using the Wolfram Mathematica system]. II nauchnyj forum telekommunikacii: teoriya i tekhnologiya TTT-2017. Problemy tekhniki i tekhnologij telekommunikacij PTITT-2017 [II scientific forum of telecommunications: theory and technology TTT-2017. Problems of equipment and technologies of telecommunications PTITT-2017]. 2017, pp. 360-362. (in Russian)
11. Savel'ev YU.A. Komp'yuternaya metodika izucheniya nachertatel'noj geometrii. Tekhnicheskoe zadanie [Computer technique for studying descriptive geometry. Terms of Reference]. Geometriya i grafika [Geometry and Graphics]. 2018, V. 6, I. 1, pp. 67-74. -DOI:https://doi.org/10.12737/article_5ad09d62e8a792.47611365. (in Russian)
12. Sal'kov N.A. Geometricheskaya sostavlyayushchaya tekhnicheskih innovacij [Geometric component of technical innovations]. Geometriya i grafika [Geometry and Graphics]. 2018, V. 6, I. 2, pp. 85-93. -DOI:https://doi.org/10.12737/article_5b55a5163fa053.07622109. (in Russian)
13. Sinchukov A.V. Osobennosti ispol'zovaniya Wolfram-tekhnologij v prepodavanii vysshej matematiki [Features of the use of Wolfram technologies in teaching higher mathematics]. Sovremennye innovacionnye tekhnologii v ekonomike, nauke, obrazovanii. Materialy Pervoj mezhdunarodnoj nauchno-prakticheskoj konferencii [Modern innovative technologies in economics, science, education. Materials of the First International Scientific and Practical Conference]. 2017, pp. 430-436. (in Russian)
14. Stepura E.A. Primenenie sistemy komp'yuternoj matematiki Wolfram Mathematica pri reshenii zadach nachertatel'noj geometrii [Application of the computer mathematics system Wolfram Mathematica in solving problems of descriptive geometry]. Vestnik MGSU [Bulletin of MGSU]. 2011, V. 2, I. 2, pp. 352-357. Available at: https://cyberleninka.ru/article/n/primenenie-sistemy-kompyuternoy-matematiki-wolfram-mathematica-pri-reshenii-zadach-nachertatelnoy-geometrii-1 (accessed 24 May 2020). (in Russian)
15. Taranchuk V.B. Instrumenty i sredstva Wolfram Mathematica dlya razrabotki intellektual'nyh obuchayushchih sistem [Wolfram Mathematica Tools and Tools for the Development of Intelligent Learning Systems]. Vestnik Polockogo gosudarstvennogo universiteta [Bulletin of Polotsk State University]. 2015, V. 1, I. 7, pp. 47-53. Available at: https://www.elibrary.ru/item.asp?id=24097815 (accessed 24 May 2020). (in Russian)
16. Tarasov V.N. Ispol'zovanie simvol'nyh sistem matematiki v vysshem obrazovanii dlya resheniya geotekhnicheskih zadach [The use of symbolic systems of mathematics in higher education for solving geotechnical problems]. Aktual'nye problemy voenno-nauchnyh issledovanij [Actual problems of military scientific research]. 2020, V. 6, I. 7, pp. 405-409. Available at: https://www.elibrary.ru/item.asp?id=42615919 (accessed 24 May 2020). (in Russian)
17. Turutina T.F. Primenenie informacionnyh tekhnologij v metodike proverki graficheskoj gramotnosti budushchih specialistov [The use of information technology in the method of testing the graphic literacy of future specialists]. Geometriya i grafika [Geometry and Graphics]. 2020, V. 8, I. 1, pp. 45-56. - DOI:https://doi.org/10.12737/2308-4898-2020-45-56. (in Russian)
18. Usataya T.V. Sovremennye podhody k proektirovaniyu izdelij v processe obucheniya studentov komp'yuternoj grafike [Modern approaches to product design in the process of teaching students computer graphics]. Geometriya i grafika [Geometry and Graphics]. 2019, V. 7, I. 1, pp. 74-82. - DOI:https://doi.org/10.12737/article_5c91fd2bde0ff7.07282102. (in Russian)
19. Fedoseeva M.A. Metodika podgotovki studentov tekhnicheskih vuzov graficheskim disciplinam [Methods of training students of technical universities in graphic disciplines]. Geometriya i grafika [Geometry and Graphics]. 2019, V. 7, I. 1, pp. 68-73. - DOI:https://doi.org/10.12737/article_5c91fed8650bb7.79232969. (in Russian)
20. Hejfec A.L. Geometricheski tochnaya 3d animaciya kinematicheskih poverhnostej [Geometrically accurate 3d animation of kinematic surfaces]. 2017, pp. 1-10. Available at: http://dgng.pstu.ru/conf2017/papers/78/ (accessed 24 May 2020). (in Russian)
21. Abbena E., Salamon S., Gray A. Modern differential geometry of curves and surfaces with Mathematica. - CRC press, 2017.
22. Beck G. Intersecting a Rotating Cone with a Plane [Elektronnyj resurs] / Available at: https://demonstrations.wolfram.com/IntersectingARotatingConeWithAPlane/ (accessed 24 May 2020).
23. Bryant J., Chang Yu-S. Tangent to a Surface [Elektronnyj resurs]. Available at: https://demonstrations.wolfram.com/TangentToASurface/ (accessed 24 May 2020).
24. Cioruța B.V., Lauran A., Coman M. Some Analytical Considerations Regarding the Traveling Salesman Problem Solved with Wolfram Mathematica Applications //Asian Journal of Advanced Research and Reports. - 2020. - S. 68-77.
25. Divjak B. Notes on taxicab geometry //Scientific and Professional Information Journal of Croatian Society for Constructive Geometry and Computer Graphics (KoG). - 2000. - T. 5. - S. 5-9.
26. Gencoglu M.T., Baskonus H.M., Bulut H. Numerical simulations to the nonlinear model of interpersonal relationships with time fractional derivative //AIP Conference Proceedings. - AIP Publishing LLC, 2017. - V. 1798. - I. 1. - S. 020103.
27. 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. Available at: https://www.researchgate.net/publication/228988093_Some_Examples_of_Using_Mathematica_and_webMathematica_in_Teaching_Geometry (accessed 24 May 2020).
28. 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.
29. Hafner I. Three Orthogonal Projections of Polyhedra [Elektronnyj resurs] // Available at: https://demonstrations.wolfram.com/ThreeOrthogonalProjectionsOfPolyhedra/ (accessed 24 May 2020).
30. Knipl D.H., Röst G. Influenza models with Wolfram Mathematica //Interesting Mathematical Problems in Sciences and Everyday Life. - 2009. - S. 1-24.
31. Kusak R. Applications of Wolfram Mathematica in the Theoretical Mechanics //21st Annual Conference of Doctoral Students-WDS 2012. - S. 88-92.
32. Mias G. Mathematica for Bioinformatics: A Wolfram Language Approach to Omics. - Springer, 2018.
33. Núñez Y.T., Belcastro S.-M. Multiple Planes through Surfaces [Elektronnyj resurs] // Available at: https://demonstrations.wolfram.com/MultiplePlanesThroughSurfaces/ (accessed 24 May 2020).
34. Pietrala D.S. et al. Application of wolfram mathematica package to control the 6-DoF parallel robot //Engineering Mechanics. - 2017. - S. 778-781.
35. Ramsden P. Conic section: The Double Cone [Elektronnyj resurs] /Available at: https://demonstrations.wolfram.com/ConicSectionsTheDoubleCone/ (accessed 24 May 2020).
36. Schwaad G., Lorbeer C. Tangent Planes to Quadratic Surfaces [Elektronnyj resurs] // Available at: https://demonstrations.wolfram.com/TangentPlanesToQuadraticSurfaces/ (accessed 24 May 2021).
37. «Pribytie» glazami nauchnogo konsul'tanta ["Arrival" through the eyes of a scientific consultant]. Available at: https://www.mirf.ru/kino/pribytie-nauchny-konsultant/ (accessed 30 January 2021). (in Russian)
38. Momenty zhizni Stivena Vol'frama- sozdatelya Mathematica, Wolfram Alpa, A New Kind Of Science i mnogo chego eshche [Moments in the life of Stephen Wolfram - the creator of Mathematica, Wolfram Alpa, A New Kind Of Science and much more]. Available at: https://habr.com/ru/company/wolfram/blog/468331/ (accessed 30 January 2021). (in Russian)
39. Wolfram Mathematica at Western Illinois University [Elektronnyj resurs] // Available at: http://www.wiu.edu/mathematica/ (accessed 30 January 2021).
40. State of Victoria (Department of Education and Training) [Elektronnyj resurs] // Available at: https://fuse.education.vic.gov.au/Search/Results?Asso (accessed 30 Janury 2021).
41. Wolfram Mathematica v MIFI, vesna 2020 [Elektronnyj resurs]. Available at: https://www.youtube.com/playlist?list=PLFH0Z3YQPp1hNa3hUC8fawrznW7IbA8SD. (accessed 30 January 2021).
