The paper presents using of frame-by-frame animation of geometric constructions in the course "Descriptive Geometry" to present educational graphic material in a more accessible and visual form for students. Electronic support of descriptive geometry classes used at the Department of Engineering Graphics at Bauman Moscow State Technical University made in the technique of frame-by-frame animation in the format of presentations and electronic text publications is presented. The technique of creating frame-by-frame animation is described. Geometric constructions are performed using computer graphics systems, in layers; each layer contains one step of construction. When layers are showed on alternately, a number of graphic files are created, which are inserted in a certain sequence on presentation slides or on the pages of an electronic text publication. During the demonstration, a visualization of the course of geometric constructions is created on the screen. Teachers when giving lectures and practical classes use electronic support of classes, made in the format of presentations to demonstrate the course material on the screen in the classroom. The presentations contain graphic material in the technique of frame-by-frame animation and minimal text material; the teacher gives the necessary explanations. Electronic support of classes, made in the form of an electronic educational visual aid, is used for independent work of students. Unlike classroom presentations, in an electronic educational visual aid, the animation of geometric constructions is accompanied by a text step-by-step description of the sequence of solving geometric problems. The main advantage of using electronic training software made in frame-by-frame animation technology compared to traditional software is the visibility and the ability to consistently, step by step, understanding the course of graphic constructions, with the ability to go back and repeat the sequence at any stage.
descriptive geometry, graphic constructions, frame-by-frame animation, electronic support of classes, sequence of geometric constructions
1. Beloborodova T.L., Borovikov I.F., Paliy N.V., Senchenkova L.S., Surkova N.G. Elektronnyi obrazovatelnyi resurs v kurse nachertatelnoi geometrii [Electronic educational resource in the course of descriptive geometry BMSTU]. V sbornike: Cifrovye tehnologii v injenernom obrazovanii: novye trendy i opyt vnedreniya. Sbornik trudov Mezhdunarodnogo foruma [In the collection: Digital technologies in engineering education: new trends and implementation experience. Proceedings of the International Forum], 2020, pp. 18-20. (in Russian)
2. Beloborodova T.L., Paliy N.V. Senchenkova L.S. Nachertatelnya geometriya: Rabochaya tetrad [Descriptive geometry: Workbook]. Moscow, of Bauman Moscow State Technical University Publ., 2022. 44 r. (in Russian)
3. Boykov A.A., Egiazaryan K.T., Efremov A.V., Kadykova N.S. Problemy geometro-graficheskoi podgotovki studentov vuzov [Problems of geometric-graphic training of university students]. Geometriya i grafika [Geometry and Graphics]. 2023, V. 11, I. 1, pp. 4-22. DOIhttps://doi.org/10.12737/2308-4898-2023-11-1-4-22. (in Russian)
4. Boykov A.A. Komp'yuternye sredstva podderzhki uchebnyh kursov graficheskih disciplin [Computer tools to support training courses in graphic disciplines]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1. I. 2, pp. 29-31. DOI:https://doi.org/10.12737/791. (in Russian)
5. Boyashova E.P. Osobennosti distantsionnogo obucheniya geometro-graficheskim distsiplinam s ispolzovaniem metodov kostruktivnogo geometricheskogo modelirovaniya [Features of Distance Learning in Geometric and Graphic Disciplines Using Methods of Constructive Geometric Modeling]. Geometriya i grafika [Geometry and Graphics]. 2021, V. 9, I. 3, pp. 46-56. DOI:https://doi.org/10.12737/2308-4898-2021-9-3-46-56. (in Russian)
6. Verhoturova E.V., Ivaschenko G.A. Prichinno-sledstvennyi analiz problem geometro-graficheskoi podgotovki obuchauschihsya tehnicheskogo vuza [Cause and Effect Diagram of the Problems of Geometric and Graphic Training of Students at a Technical University]. Geometriya i grafika [Geometry and Graphics]. 2022, V. 10, I. 2, pp. 60-69. DOI:https://doi.org/10.12737/2308-4898-2022-10-2-60-69. (in Russian)
7. Volkhin K.A., Astakhova T.A. Problemy graficheskoy podgotovki studentov tehnicheskogo universiteta [Problems of graphic training of Technical University students]. Geometriya i grafika [Geometry and Graphics]. 2014, V. 2, I. 3. pp. 25-30. DOI:https://doi.org/10.12737/6522. (in Russian)
8. Vyshnyepolskiy V.I., Kadykova N.S., Vereschagina T.A. Vserossiiskaya nauchno-metodicheskaya konferentsiya "Problemy inzhenernoi geometrii" i seminar "Geometriya i grafika" 2021 g [All-Russian scientific and methodological conference "Problens of engineering geometry" and the seminar "Geometry and graphics" 2021]. Geometriya i grafika [Geometry and Graphics]. 2022, V. 10, I. 2, pp. 35-52. DOIhttps://doi.org/10.12737/2308-4898-2022-10-2-35-52. (in Russian)
9. Vyshnyepolskiy V.I., Boykov A.A., Egiazaryan K.T., Kadykova N.S. Metodicheskaya sistema provedeniya zanyatii na kafedre "Inzhenernaya grafica" RTU MIREA [Metodological system for conducting classes at the department of "Engineering graphics" RTU MIREA]. Geometriya i grafika [Geometry and Graphics]. 2023, V. 11, I. 1, pp. 23-34. DOIhttps://doi.org/10.12737/2308-4898-2023-11-1-23-34. (in Russian)
10. Vyshnyepolskiy V.I., Boykov A.A., Efremov A.V., Kadykova N.S. Organizatsiya praktiko-orientirovannogo obucheniya na kafedre "Inzhenernaya grafica" RTU MIREA [Arrangement of practice-oriented learning at the department of "Engineering graphics" RTU MIREA]. Geometriya i grafika [Geometry and Graphics]. 2023, V. 11, I. 1, pp. 35-43. DOIhttps://doi.org/10.12737/2308-4898-2023-11-1-35-43. (in Russian)
11. Vyshnyepolskiy V. I., Sal'kov N. A. Tseli i metody obucheniya graficheskim distsiplinam [The aims and methods of teaching drawing]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 2. pp. 8-9. DOI: https://doi.org/10.12737/777 (in Russian)
12. Goryachkina A.Yu., Koryagina O.M., Goryunova I.A. Effektivnost primenenia multimediinyh razrabotok pri izuchenii graficheskih disciplin [The efficiency of the multimedia developments use in the study of graphic disciplines]. Glavnyi mehanik [Chief Mechanic]. 2021, I. 2, pp. 44-45. (in Russian)
13. Goryachkina A.Yu., Goryunova I.A., Koryagina O.M. Primenenie multimediinyh tehnologii v kurse nachertatelnoi geometrii [Application of multimedia technologies in the course of descriptive geometry]. Cloud of Science. 2019, V. 6, I. 1, pp. 63-70. (in Russian)
14. Guznenkov V.N Ispolzovanie cifrovyh tehnologii na kafedre injenernoi grafiki MGTU im. N.E. Baumana [Use of digital technologies at the department engineering graphics of BMSTU]. Nauchnoe obozrenie. Pedagogicheskie nauki [Scientific review. Pedagogical sciences]. 2020, I. 2, pp. 10-14. DOI:https://doi.org/10.17513/srps.2279. (in Russian)
15. Damchaasuren H. Vnedrenie elektronnoi tehnologii v obrazovanie [Introduction of Electronic Technology into Education]. Geometriya i grafika [Geometry and Graphics], 2021, V. 9, I. 3, pp. 39-45. DOI:https://doi.org/10.12737/2308-4898-2021-9-3-39-45. (in Russian)
16. Ivanov G.S. Nachertatelnya geometriya [Descriptive geometry]. Moscow, MGUL Publ., 2012, 224 p. (in Russian)
17. Ignat'ev S.A., Muratbakeev E.H., Voronina M.V. Povyshenie naglyadnosti predstavleniya izuchaemyh v nachertatelnoi geometrii ob’ektov [Increasing the Visibility of Representation for Objects Studying in Descriptive Geometry]. Geometriya i grafika [Geometry and Graphics]. 2022, V.10, I. 1, pp. 44-53. DOI:https://doi.org/10.12737/2308-4898-2022-10-1-44-53. (in Russian)
18. Ignat'ev S.A., Folomkin A.I., Muratbakeev E.H. Funktsonalnye vozmozhnosti sredy Wolfram Mathematica dlya vizualizatsii krivyh linii I poverhnostei [Wolfram Mathematica Functional Possibilities for Curved Lines and Surfaces Visualization]. Geometriya i grafika [Geometry and Graphics]. 2021, V. 9, I. 1, pp. 29-38. DOI:https://doi.org/10.12737/2308-4898-2021-9-1-29-38. (in Russian)
19. Ignat'ev S.A., Folomkin A.I., Muratbakeev E.H. Vizualizzatsiya zadach nachertatelnoi geometrii posredstvom Wolfram Mathematica [Descriptive Geometry Problems Visualization by Wolfram Mathematica]. Geometriya i grafika [Geometry and Graphics]. 2020, V. 8, I. 4, pp. 74-84. DOI:https://doi.org/10.12737/2308-4898-2021-8-4-74-84. (in Russian)
20. Kozlova I.A., Slavin R.B., Slavin B.M. Graficheskie distspliny i informatizatsiya inzhenernogo obrazovaniya [Graphic Disciplines and Informatization of Engineering Education] Geometriya i grafika [Geometry and Graphics]. 2022, V. 10, I. 4, pp. 35-45. DOI:https://doi.org/10.12737/2308-4898-2022-10-4-35-45. (in Russian)
21. Leparov M.N. O geometrii, ethe odin raz [About geometry, one more time]. Geometriya i grafika [Geometry and Graphics]. 2022, V. 10, I. 1, pp. 3-13. DOIhttps://doi.org/10.12737/2308-4898-2022-10-1-3-13. (in Russian)
22. Musaeva T.V., Urago A.A. Dopolnennaya realnost v provedenii zanyatii po inzhenernym tehnicheskim distsplinam [Augmented Reality in Conducting Classes in Engineering and Technical Disciplines of Design]. Geometriya i grafika [Geometry and Graphics]. 2021, V. 9, I. 2, pp. 46-55. DOI:https://doi.org/10.12737/2308-4898-2021-9-2-46-55. (in Russian)
23. Paliy N.V. Ispolzovanie informatsionnyh tehnologii v prepodavanii nachertatelnoi geometrii [The use of information technology in the teaching of descriptive geometry]. Pedagogicheskii zhurnal [Pedagogical journal]. 2022, V. 12, I. 3-1, pp. 392-396. DOIhttps://doi.org/10.34670/AR.2022.55.81.020. (in Russian)
24. Paliy N.V. Nachertatelnaya geometriya: uchebnoe naglyadnoe posobie (Electronnyi resurs). Electron. dan. (76 Mb) [Descriptive geometry: an educational visual aid (Electronic resource). Electronic data (76 MB)]. Moscow, Publ. of Bauman Moscow State Technical University, 2021, 1 CD-ROM. Number of State Registration (FGBU NTC "Informregistr") G 0322101782, registration data 16.07.2021. (in Russian)
25. Sal'kov N.A. Osnovnye prichiny plohogo usvoeniya nachertatelnoi geometrii [The main reasons for poor assimilation of descriptive geometry]. Geometriya i grafika [Geometry and Graphics]. 2021, V. 9, I. 2, pp. 3-11. DOIhttps://doi.org/10.12737/2308-4898-2021-9-2-3-11. (in Russian)
26. Sal'kov N.A. Sistemnyi podhod k izucheniu nachertatelnoi geometrii [A systematic approach to the study of descriptive geometry]. Geometriya i grafika [Geometry and Graphics]. 2022, V. 10, I. 1, pp. 14-23. DOIhttps://doi.org/10.12737/2308-4898-2022-10-1-14-23. (in Russian)
27. Sal'kov N.A., Kadykova N.S. Otrazhenie razvitiya inzhenernoi geometrii v zhurnale “Geometriya i grafika” [Representation of Engineering Geometry Development in “Geometry and Graphics” Journal]. Geometriya i grafika [Geometry and Graphics]. 2020, V. 8, I. 2, pp. 82-100. DOI:https://doi.org/10.12737/2308-4898-2020-82-100 (in Russian)
28. Senchenkova L.S., Paliy N.V. Nachertatelnya geometriya: Rabochaya tetrad dlya ispolzovaniay na lektsionnyh zaniytiayh [Descriptive geometry: Workbook for use in lectures], Moscow, Of Bauman Moscow State Technical University Publ., 2022. 56 r. (in Russian)
29. Senchenkova L.S., Paliy N.V., Beloborodova T.L. Opyt ispolzovaniya komputernyh tehnologii v ychebnom processe v MGTU im. N.E. Baumana [Computer technologies experience in the educational process at the Bauman Moscow State Technical University]. Zametki ychenogo [Scientist’s Notes]. 2021, I. 7-1, pp. 55-58. (in Russian)
30. Senchenkova L.S., Paliy N.V., Beloborodova T.L. Metodika ispolzovaniya komputernoi prezentacii pri izuchenii kursa “Nachertatelnoy geometrii” [Technique of using computer presentation in the study of the course "Descriptive geometry"]. Innovacionnoe razvitie [Innovative Development]. 2018, I. 9 (26), pp. 25-27. (in Russian)
31. Senchenkova L.S., Paliy N.V. Nachertatelnaya geometriya: uchebnoe naglyadnoe posobie (Electronnyi resurs). Electron. dan. (113,05 Mb) [Descriptive geometry: educational visual aid (Electronic resource) Electronic data (113,05 Mb)]. Moscow, Publ. of Bauman Moscow State Technical University, 2017. 1 CD-ROM. (in Russian)
32. Tihonov-Bugrov D.E. O nekotoryh problemah graficheskoi podgotovki v tehnicheskih vuzah (vzglyad iz Sankt-Peterburga) [About some problems of graphic training in technical universities (view from St. Petersburg)]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 2, I. 1, pp. 46-53. DOI:https://doi.org/10.12373/3848. (in Russian)
