Competencies of Digital Culture in Mathematics Education and their Formation
Abstract
The article is devoted to the problem of the development of digital culture within the existing educational system based on the educational standards of FGOS3++. The current level of development of society requires the formation of new competencies that meet the needs of digitalization in all spheres of life. The assimilation of digital culture by a teacher, first of all, by a mathematics teacher, is of extremely high importance, since this is the key to the acquisition of digital competencies by students. The purpose of the article is to analyze the ways of updating educational programs of mathematical training and modernization experience on specific examples. Two ways of modernization are considered: expanding the list of formed competencies (adding additional competencies related to digital skills) or deepening the content of formed competencies through a system of indicators. Both methods involve updating the results of training both for each working discipline and for the entire educational program as a whole. An important aspect of modernization is the revision of the evaluation fund, taking into account the emergence of new electronic forms of control, which involve the application and development of the acquired knowledge in the field of information and "end-to-end" technologies. The actual direction of modernization of mathematical education is the development of research training and, in particular, the application of project approaches. As a result of the research, an example of the modernization of the educational program for bachelor's degree training in the direction 01.03.01 Mathematics to ensure the competencies of digital culture is given. The second considered example is based on the results of updating the discipline "Mathematical modeling of selection processes" for bachelors of the direction 01.03.02 Applied Mathematics and Computer Science.
References
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22. Novikova S.V., Novikova K.N. Tools for evaluating the effectiveness of training according to CEI standards in the Math-Bridge e-learning system. Educational Technology & Society. 2016; 19(4):496-508. Available at: https://www.elibrary.ru/item.asp?id=27163072 (accessed 19.03.2021). (In Russ., abstract in Eng.)
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28. Zakharova I.V., Dudakov S.M., Yazenin A.V., Soldatenko I.S. On methodological aspects of the development of exemplary educational programs of higher education. Educational Technology & Society. 2015; 18(3):330-354. Available at: https://www.elibrary.ru/item.asp?id=24102764 (accessed 19.03.2021). (In Russ., abstract in Eng.)
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2. Basalin P.D., Kulikov D.A., Maskina Yu.V. Adapting a Hybrid Intelligent Reinforcement Learning Environment. Sovremennye informacionnye tehnologii i IT-obrazovanie = Modern Information Technologies and IT-Education. 2020; 16(3):788-798. (In Russ., abstract in Eng.) DOI: https://doi. org/10.25559/SITITO.16.202003.788-798
3. Basalin P.D., Timofeev A.E. Hybrid Itelligent Decision Support System Shell. Sistemy upravlenija i informacionnye tehnologii = Management systems and information technologies. 2018; (1):24-28. Available at: https://elibrary.ru/item.asp?id=32614303 (accessed 19.03.2021). (In Russ., abstract in Eng.)
4. Basalin P.D., Timofeev A.E. Obolochka gibridnoj intellektual’noj obuchajushhej sredy produkcionnogo tipa [The shell of a hybrid intellectual learning environment of the production type]. Educational Technology & Society. 2018; 21(1):396-405. Available at: https://elibrary.ru/item.asp?id=32253182 (accessed 19.03.2021). (In Russ.)
5. Basalin P.D., Belokrylov P.Yu., Plekhov A.S., Timofeev A.Ya, Yashunin D.A. Intellektual’nye obrazovatel’nye tehnologii v uchebnom processe [Intellectual learning technologies in the educational process]. Educational Technology & Society. 2019; 22(4):186-196. Available at: https://elibrary.ru/item.asp?id=41233714 (accessed 19.03.2021). (In Russ.)
6. Basalin P.D., Timofeev А.E. Fuzzy Models for the Functioning of the Rule-Based Hybrid Intelligent Learning Environment. International Journal of Open Information Technologies. 2019; 7(2):49-55. Available at: https://elibrary.ru/item.asp?id=36915740 (accessed 19.03.2021). (In Russ., abstract in Eng.)
7. Snegurenko A.P., Sosnovsky S.A., Novikova S.V., Yakhina R.R., Valitova N.L., Kremleva E.Sh. Using E-Learning Tools to Enhance Students-Mathematicians’ Сompetences in the Сontext of International Academic Mobility Programmes. Integratsiya obrazovaniya = Integration of Education. 2019; 23(1):8-22. (In Eng.) DOI: https://doi.org/10.15507/1991-9468.094.023.201901.008-022
8. Kuzenkov O., Kuzenkova G., Kiseleva T. Computer support of training and research projects in the field of mathematical modeling of selection processes. Educational Technology & Society. 2019; 22(1):152-163. Available at: https://www.elibrary.ru/item.asp?id=37037790 (accessed 19.03.2021). (In Russ., abstract in Eng.)
9. Novikova S.V., Sosnovsky S.A., Yakhina R.R., Valitova N.L., Kremleva E.Sh. The specific aspects of designing computer-based tutors for future engineers in numerical methods studying. Integratsiya obrazovaniya = Integration of Education. 2017; 2(21):322-343. (In Eng.) DOI: https://doi.org/10.15507/1991-9468.087.021.201702.322-343
10. Zakharova I., Kuzenkov O. Experience in implementing the requirements of the educational and professional standards in the field of ICT in Russian Education. CEUR Workshop Proceedings. 2016; 1761:17-31. Available at: http://ceur-ws.org/Vol-1761/paper02.pdf (accessed 19.03.2021). (In Russ., abstract in Eng.)
11. Kuzenkov O.A., Zakharova I.V. Mathematical Programs Modernization Based on Russian and International Standards. Sovremennye informacionnye tehnologii i IT-obrazovanie = Modern Information Technologies and IT-Education. 2018; 14(1):233-244. (In Eng.) DOI: https://doi.org/10.25559/SITITO.14.201801.233-244
12. Zakharova I.V., Yazenin A.V. About some trends in modern mathematical education on the example of the analysis of the State Higher Educational Educational Standards, the Federal State Educational Standards and the Federal State Educational Standards in the field of training "Applied Mathematics and Computer Science". Educational Technology & Society. 2015; 18(4):629-640. Available at: https://www.elibrary.ru/item.asp?id=25100455 (accessed 19.03.2021). (In Russ., abstract in Eng.)
13. Kuzenkov O.A., Ryabova E.A., Biryukov R.S., Kuzenkova G.V. Modernization of the program of mathematical disciplines of N. I. Lobachevsky National Research University within the framework of the MetaMath project. Education in Nizhny Novgorod. 2016; (1):4-10. Available at: https://www.elibrary.ru/item.asp?id=25945395 (accessed 19.03.2021). (In Russ., abstract in Eng.)
14. Kuzenkov O., Morozov A., Kuzenkova G. Exploring Evolutionary Fitness in Biological Systems Using Machine Learning Methods. Entropy. 2021; 23(1):1-17. (In Eng.) DOI: https://doi.org/10.3390/e23010035
15. Kuzenkov O., Morozov A., Kuzenkova G. Machine learning evaluating evolutionary fitness in complex biological systems. 2020 International Joint Conference on Neural Networks (IJCNN). IEEE Press, Glasgow, UK; 2020. p. 1-7. (In Eng.) DOI: https://doi.org/10.1109/IJCNN48605.2020.9206653
16. Kuzenkov O. Information Technologies of Evolutionarily Stable Behavior Recognition. In: Ed. by V. Sukhomlin, E. Zubareva E. Modern Information Technology and IT Education. SITITO 2018. Communications in Computer and Information Science. 2020; 1201:150-157. Springer, Cham. (In Eng.) DOI: https://doi.org/10.1007/978-3-030-46895-8_20
17. Kuzenkov O., Kuzenkova G. Identification of the Fitness Function using Neural Networks. Procedia Computer Science. 2020; 169:692-697. (In Eng.) DOI: https://doi.org/10.1016/j.procs.2020.02.179
18. Morozov A., Kuzenkov O.A., Arashkevich E.G. Modelling optimal behavioural strategies in structured populations using a novel theoretical framework. Scientific Reports. 2019; 9(1):15020. (In Eng.) DOI: https://doi.org/10.1038/s41598-019-51310-w
19. Sandhu S.K., Morozov A., Kuzenkov O. Revealing Evolutionarily Optimal Strategies in Self-Reproducing Systems via a New Computational Approach. Bulletin of Mathematical Biology. 2019; 81(11):4701-4725. (In Eng.) DOI: https://doi.org/10.1007/s11538-019-00663-4
20. Novikova S.V., Tunakova Yu.A., Novikova K.N., Kremleva E.S. Improving the efficiency of mastering practical competencies by students of IT specialties on the basis of cross-subject scientific research. Educational Technology & Society. 2020; 23(1):101-114. Available at: https://www.elibrary.ru/item.asp?id=41828159 (accessed 19.03.2021). (In Russ., abstract in Eng.)
21. Kremleva E.Sh., Snegurenko A.P., Novikova S.V., Valitova N.L. Automatic generation of recommendation systems based on qualitative interpretation of monitoring information. Vestnik TvGU. Seriya: Prikladnaya matematika = Herald of Tver State University. Series: Applied Mathematics. 2020; (3):50-67. (In Russ., abstract in Eng.) DOI: https://doi.org/10.26456/vtpmk599
22. Novikova S.V., Novikova K.N. Tools for evaluating the effectiveness of training according to CEI standards in the Math-Bridge e-learning system. Educational Technology & Society. 2016; 19(4):496-508. Available at: https://www.elibrary.ru/item.asp?id=27163072 (accessed 19.03.2021). (In Russ., abstract in Eng.)
23. Sicilia M.-A., et al. Digital skills training in Higher Education: insights about the perceptions of different stakeholders. Proceedings of the Sixth International Conference on Technological Ecosystems for Enhancing Multiculturality (TEEM'18). Association for Computing Machinery, New York, NY, USA; 2018. p. 781-787. (In Eng.) DOI: https://doi.org/10.1145/3284179.3284312
24. Zakharova I.V., Dudakov S.M., Soldatenko I.S. Designing educational programs in the field of ICT taking into account professional standards. Engineering Education. 2017; (21):140-144. Available at: https://www.elibrary.ru/item.asp?id=29988103 (accessed 19.03.2021). (In Russ., abstract in Eng.)
25. Zakharova I.V., Dudakov S.M. "Sravnitel'nyj analiz obrazovatel'nyh standartov FGOS VO 3+ i FGOS VO 3++ po napravleniju podgotovki Prikladnaja matematika i informatika" [Comparative analysis of educational standards of Federal State Educational Standards 3+ and 3++ in the field of training "Applied Mathematics and Computer Science". Educational Technology & Society. 2019; 22(4):96-105. Available at: https://www.elibrary.ru/item.asp?id=41233705 (accessed 19.03.2021). (In Russ., abstract in Eng.)
26. Zakharova I.V., Dudakov S.M., Yazenin A.V. On the development of an approximate curriculum for the UGNS "Computer and Information Sciences" in accordance with professional standards. Vestnik TvGU. Seriya: Pedagogika i psihologija = Herald of Tver State University. Series: Pedagogy and Psychology. 2016; (2):84-100. Available at: https://www.elibrary.ru/item.asp?id=26555960 (accessed 19.03.2021). (In Russ., abstract in Eng.)
27. Zakharova I.V., Dudakov S.M., Yazenin A.V. On the development of masters' program on ugns "Computer and Information Science" in accordance with professional standards. Vestnik TvGU. Seriya: Pedagogika i psihologija = Herald of Tver State University. Series: Pedagogy and Psychology. 2016; (3):114-126. Available at: https://www.elibrary.ru/item.asp?id=27126575 (accessed 19.03.2021). (In Russ., abstract in Eng.)
28. Zakharova I.V., Dudakov S.M., Yazenin A.V., Soldatenko I.S. On methodological aspects of the development of exemplary educational programs of higher education. Educational Technology & Society. 2015; 18(3):330-354. Available at: https://www.elibrary.ru/item.asp?id=24102764 (accessed 19.03.2021). (In Russ., abstract in Eng.)
29. Gugina E.V., Kuzenkov O.A. Educational Standards of the Lobachevsky State University of Nizhni Novgorod. Vestnik of Lobachevsky University of Nizhni Novgorod. 2014; (3-4):39-44. Available at: https://www.elibrary.ru/item.asp?id=22862964 (accessed 19.03.2021). (In Russ., abstract in Eng.)
30. Gergel V.P., Gugina E.V., Kuzenkov O.A. Razrabotka obrazovatel'nogo standarta Nizhegorodskogo gosuniversiteta po napravleniju "Fundamental'naja informatika i informacionnye tehnologii" [Development of the educational standard of the Nizhny Novgorod State University in the direction of "Fundamental informatics and information technologies"]. Sovremennye informacionnye tehnologii i IT-obrazovanie = Modern Information Technologies and IT-Education. 2010; 6(1):51-60. Available at: https://www.elibrary.ru/item.asp?id=24172758 (accessed 19.03.2021). (In Russ.)
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Published
2021-06-30
How to Cite
KUZENKOV, Oleg Anatolevich; ZAKHAROVA, Irina Vladimirovna.
Competencies of Digital Culture in Mathematics Education and their Formation.
Modern Information Technologies and IT-Education, [S.l.], v. 17, n. 2, p. 379-391, june 2021.
ISSN 2411-1473. Available at: <http://sitito.cs.msu.ru/index.php/SITITO/article/view/761>. Date accessed: 05 nov. 2025.
doi: https://doi.org/10.25559/SITITO.17.202102.379-391.
Section
IT education: methodology, methodological support
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