The Integrative Potential of Digital Technologies in the System of Mathematical Training of Future Economists
Abstract
Within the framework of this article, the essence of the integrative potential of digital technologies is revealed and the substantive and methodological features of its implementation in the system of mathematical training of future economists are provided. The necessity of improving the methodological systems of teaching mathematical disciplines in the higher economic school in the context of the digitalization of the economy and economic research, the complication of socio-economic relations and the actualization of risks of various nature has been substantiated. Consideration of the system of mathematical training of future economists as an object of pedagogical design made it possible to focus on the features of the development of mental functions and to determine the boundaries of the effectiveness of verbal, visual, extralinguistic and other means used in mathematical disciplines, and, if necessary, to correct the project. It is noted that digital technologies are not only the basis of the interdisciplinary educational space, but are also organically linked to the directions of its development. In order to manage the development of an interdisciplinary educational space in the direction of "Quantitative Methods and Mathematical Modeling", the article highlights the following parameters: "Mathematical Competence", "Intellectual Initiative", "Creative Activity", "Intellectual Self-Regulation". Particular attention is paid to the results of the implementation of the WolframAlpha tool based on the proposed methodological approach, which include technological and digital support for the educational and cognitive activities of students of economic bachelor's degree with tasks for the applications of differential and integral calculus, with tasks for using various distribution functions of a continuous random variable, including tasks to determine whether the value of a random variable falls into a given interval, with tasks of linear programming, with tasks for the construction and study of various econometric models.
References
[2] Likhachev G.G., Sukhorukova I.V. Komp'juternoe modelirovanie i matematicheskoe obespechenie jekonomiko-social'nyh zadach [Computer modeling and mathematical support of economic and social problems]. Economic Analysis: Theory and Practice. 2003; (5):60-62. Available at:https://www.elibrary.ru/item.asp?id=9448297 (accessed 10.09.2020). (In Russ.)
[3] Tikhomirov N.P., Tikhomirova T.M., Sukiasyan A.G. Risks theory advanced. PRUE Publ., Moscow; 2019. Available at: https://www.elibrary.ru/item.asp?id=38226794 (accessed 10.09.2020). (In Eng.)
[4] Vlasov D.A. Wolfram-technologies in training of the games theory and game-theoretic simulation of social and economic situations. System technologies. 2018; 3(28):13-18. Available at: https://www.elibrary.ru/item.asp?id=36449118 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[5] Karabutov N.N., Feklin V.G. Adaptive Identification of Systems with Distributed Lags. Journal of Mathematical Sciences. 2016; 216(5):649-666. (In Eng.) DOI: https://doi.org/10.1007/s10958-016-2925-8
[6] Tikhomirova T.M., Sukiasyan A.G. Еconometrics Advanced: Discrete Choice Models. PRUE Publ., Moscow; 2018. Available at: https://www.elibrary.ru/item.asp?id=36259982 (accessed 10.09.2020). (In Eng.)
[7] Karasev P.A., Chaikovskaya L.A. Improvement of higher education programs in the context of modern market requirements of educational services and professional communities. Economics and management: problems, solutions. 2017; 3(2):3-9. Available at: https://www.elibrary.ru/item.asp?id=29007155 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[8] Vlasov D.A. The application of mathematical methods for measuring inequality in the distribution of income of the population. System technologies. 2018; 1(26):26-28. Available at: https://www.elibrary.ru/item.asp?id=35007068 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[9] Vlasov D., Sinchukov A. Trends in the development of economic education in the conditions of new industrialization. In: Proceedings of the 2nd International Scientific conference on New Industrialization: Global, national, regional dimension (SICNI 2018). Advances in Social Science, Education and Humanities Research. 2019; 240:315-320. Atlantis Press. (In Eng.) DOI: https://doi.org/10.2991/sicni-18.2019.64
[10] Bahtina O.I., Monakhov V.M. The Theoretical Basis of the Functioning of the Methodical System of Electronic Education. Vestnik Moskovskogo Universiteta. Seriya 20. Pedagogicheskoe obrazovanie = The Moscow University Bulletin. Series 20. Pedagogical Education. 2018; (4):43-57. Available at: https://www.elibrary.ru/item.asp?id=36604537 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[11] Monakhov V.M. Making Didactics Fundamental According to the Demands Made by Digital Society. Pedagogika. 2018; (7):34-42. Available at: https://www.elibrary.ru/item.asp?id=35303022 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[12] Smirnov E.I., Trofimets E.N. Projection of informational-analytical technologies at training experts of an economic profile. Yaroslavl pedagogical bulletin. 2010; 2(2):137. Available at: https://www.elibrary.ru/item.asp?id=16899576 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[13] Kalinina E.S. Goal setting in practice-oriented teaching of mathematical and natural science disciplines in higher education institutions of EMERCOM of Russia. Modern education: content, technology, quality. 2019; 1:426-428. Available at: https://www.elibrary.ru/item.asp?id=38940111 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[14] Kalinina E.S. Integrative approach in teaching to mathematical and natural science disciplines in higher educational establishments of EMERCOM of Russia. Modern education: content, technology, quality. 2018; 1:86-89. Available at: https://www.elibrary.ru/item.asp?id=34995722 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[15] Osmolovskaya I.M., Krasnova L.A. The Learning Process from the Perspective of Interdisciplinary Research. Obrazovanie i nauka = The Education and Science Journal. 2018; 20(8):9-27. (In Russ., abstract in Eng.) DOI: https://doi.org/10.17853/1994-5639-2018-8-9-27
[16] Mukhanov S.A., Mukhanova A.A. Wolfram | Alpha Service in Economic Statistical Calculations. System technologies. 2019; 1(30):152-157. Available at: https://www.elibrary.ru/item.asp?id=40460342 (accessed 10.09.2020). (In Russ., abstract in Eng.)
[17] Mukhanov S.A., Bogdanov M.R., Mukhanova A.A. Designing an Electronic Training Course on Differential Equations and Its Application in the Framework of the Blended Learning Concept. In: Proceedings of the 2nd International Scientific and Practical Conference “Modern Management Trends and the Digital Economy: from Regional Development to Global Economic Growth” (MTDE 2020). Advances in Economics, Business and Management Research. 2020; 138:802-806. Atlantis Press. (In Eng.) DOI: https://doi.org/10.2991/aebmr.k.200502.130
[18] Mukhanov S.A., Arkhangelsky A.I., Mukhanova A.A. Differentiated and individualised teaching mathematics to students of technical universities. In: Proceedings of the 1st International Scientific Conference "Modern Management Trends and the Digital Economy: from Regional Development to Global Economic Growth" (MTDE 2019). Advances in Economics, Business and Management Research. 2019; 81:601-603. Atlantis Press. (In Eng.) DOI: https://doi.org/10.2991/mtde-19.2019.120
[19] Andryukhina L.M., Sadovnikova N.O., Utkina S.N., Mirzaahmedov A.M. Digitalisation of Professional Education: Prospects and Invisible Barriers. Obrazovanie i nauka = The Education and Science Journal. 2020; 22(3):116-147. (In Russ., abstract in Eng.) DOI: https://doi.org/10.17853/1994-5639-2020-3-116-147
[20] Ahmetović E., Bećirović S., Dubravac V. Motivation, Anxiety and Students’ Performance. European Journal of Contemporary Education. 2020; 9(2):271-289. (In Eng.) DOI: https://doi.org/10.13187/ejced.2020.2.271
[21] Goodyear P. Design and co‐configuration for hybrid learning: Theorising the practices of learning space design. British Journal of Educational Technology. 2020; 51(4):1045-1060. (In Eng.) DOI: https://doi.org/10.1111/bjet.12925
[22] Apaydin M., Hossary M. Achieving metacognition through cognitive strategy instruction. International Journal of Educational Management. 2017; 31(6):696-717. (In Eng.) DOI: https://doi.org/10.1108/IJEM-05-2016-0130
[23] Hedges L.V. Effect Sizes in Cluster-Randomized Designs. Journal of Educational and Behavioral Statistics. 2007; 32(4):341-370. (In Eng.) DOI: https://doi.org/10.3102/1076998606298043
[24] Okunkova E., Kuznetsova E., Karasev P. Essential problems identification of staffing needs of innovative economy. In: Proceedings of the 5th International Multidisciplinary Scientific Conference on Social Sciences and Arts SGEM 2018. International Multidisciplinary Scientific Conference on Social Sciences and Arts-SGEM. 2018; 18:353-360. (In Eng.) DOI: https://doi.org/10.5593/sgemsocial2018/1.5/S05.044
[25] Fomin G.P., Karasev P.A. Matematika v jekonomike: 813 zadach s kommentarijami i otvetami [Mathematics in economics: 813 problems with comments and answers]. KnoRus Publ., Moscow; 2019. (In Russ.)
[26] Sukhorukova I.V., Chistyakova N.A. Economic Regulation and Mathematical Modeling of Insurance Product Cost Method. Regional Science Inquiry. 2018; 10(2):195-203. Available at: https://www.elibrary.ru/item.asp?id=41633659 (accessed 10.09.2020). (In Eng.)
[27] Sukhorukova I.V., Chistyakova N.A. Methodical aspects of actuarial mathematics teaching. Astra Salvensis. 2018; 6:847-857. Available at: https://www.elibrary.ru/item.asp?id=35755089 (accessed 10.09.2020). (In Eng.)
[28] Sternberg R.J. What Is Cognitive Education? Journal of Cognitive Education and Psychology. 2013; 12(1):45-58. (In Eng.) DOI: https://doi.org/10.1891/1945-8959.12.1.45
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication policy of the journal is based on traditional ethical principles of the Russian scientific periodicals and is built in terms of ethical norms of editors and publishers work stated in Code of Conduct and Best Practice Guidelines for Journal Editors and Code of Conduct for Journal Publishers, developed by the Committee on Publication Ethics (COPE). In the course of publishing editorial board of the journal is led by international rules for copyright protection, statutory regulations of the Russian Federation as well as international standards of publishing.
Authors publishing articles in this journal agree to the following: They retain copyright and grant the journal right of first publication of the work, which is automatically licensed under the Creative Commons Attribution License (CC BY license). Users can use, reuse and build upon the material published in this journal provided that such uses are fully attributed.
