TECHNOLOGIZATION OF THE PEDAGOGICAL PROCESS

Interdisciplinary integration of mathematical analysis, linear algebra and analytic geometry in technical, military and legal universities: digital tools and methods

Authors

  • Ekaterina A. Vetrenko MIREA, Russian Technological University, 119454, Moscow, Vernadskogo Avenue, 78
  • Polina A. Vysotskaya https://orcid.org/0000-0002-1573-5056 The Military Academy of Strategic Rocket Forces after Peter the Great, 143900, Moscow region, Balashikha, Karbysheva str., 8
  • Renata Yu. Gurnikovskaya MIREA, Russian Technological University, 119454, Moscow, Vernadskogo Avenue, 78
  • Andrey P. Zabaikalov https://orcid.org/0000-0001-6921-673X MIREA, Russian Technological University, 119454, Moscow, Vernadskogo Avenue, 78
  • Oksana V. Fedoseeva Academy of Civil Protection of the Ministry of Emergency Situations of Russia, 141435, Moscow Region, Khimki, Novogorsk microdistrict, Sokolovskaya Street, bldg. 1A
DOI: 10.25726/b7776-0533-6898-n EDN: OTIHVK

How to cite

GOST Vetrenko E. A., Vysotskaya P. A., Gurnikovskaya R. Y., Zabaikalov A. P., Fedoseeva O. V. Interdisciplinary integration of mathematical analysis, linear algebra and analytic geometry in technical, military and legal universities: digital tools and methods // Education Management Review. 2026. Vol. 16. No. 6. P. 99-110. DOI: 10.25726/b7776-0533-6898-n
APA Vetrenko, E. A., Vysotskaya, P. A., Gurnikovskaya, R. Y., Zabaikalov, A. P. & Fedoseeva, O. V. (2026). Interdisciplinary integration of mathematical analysis, linear algebra and analytic geometry in technical, military and legal universities: digital tools and methods. Education Management Review, 16(6), 99-110. https://doi.org/10.25726/b7776-0533-6898-n

Abstract

The article examines theoretical and applied aspects of interdisciplinary integration of fundamental mathematical disciplines – mathematical analysis, linear algebra and analytic geometry – in technical education. The need to overcome the traditional isolated teaching of these courses and to move toward their organic synthesis at both the content and instrumental levels is substantiated. The author’s concept of integration is proposed; it is based on the identification of cross-cutting conceptual lines, the construction of a unified axiomatic space and the use of modern digital tools, including computer mathematics systems, LMS platforms and visualization tools. The results of implementing the proposed methodology in the educational process of a technical university are described, demonstrating improved academic performance, development of systems thinking and student motivation. Practical recommendations are given for organizing integrated teaching of mathematical disciplines in a digital environment.

Keywords

interdisciplinary integration mathematical analysis linear algebra analytic geometry technical education digital tools computer mathematics systems competence-based approach digital educational ecosystem

Funding

The authors did not declare any external funding for this research.

References

Bordovskaya N.V., Rean A.A. Pedagogy: a textbook. Saint Petersburg: Peter, 2011. 299 p.

Gurnikovskaya R.Yu., Vysotskaya P.A., Kamenskikh L.V., Chorbanshieva M.Ch., Usacheva T.V. Digital educational ecosystem for teaching mathematical analysis and linear algebra in technical and military universities: pedagogical conditions for implementing the competence-based approach based on Moodle, WebTutor and Maple // Education Management: Theory and Practice. 2025. Vol. 15. № 9-2. pp. 183-194.

Gurnikovskaya R.Yu., Vysotskaya P.A., Kamenskikh L.V., Shimitilo V.L., Chorbanshieva M.Ch. Pedagogical design of a digital environment based on Moodle and Mathcad for organizing independent work of students and cadets studying the discipline «Mathematical analysis» // Education Management: Theory and Practice. 2025. № 9-2. pp. 67-77.

Gurnikovskaya R.Yu., Kamenskikh L.V., Sanaeva T.A., Trub N.V., Shilova Z.V. Use of Mathcad in designing professionally oriented tasks in mathematical analysis in technical universities // Education Management: Theory and Practice. 2025. № 9-2. pp. 130-141.

Zabaikalov A.P., Kuleshova Yu.D., Novoderova A.P., Usacheva T.V., Shimitilo V.L. Methodological approaches to the use of computer Mathematics Systems Maple, Mathcad and Mathematica in teaching linear algebra, mathematical analysis and mathematical logic at technical, military and law universities // Education Management: Theory and Practice. 2025. Vol. 15. № 9-2. pp. 119-129.

Ilyin E.P. Motivation and motives. Saint-Petersburg: Peter, 2021. 512 p.

Kolechenko A.K. Encyclopedia of educational technologies: a guide for teachers. 2nd ed. Saint Petersburg: Karo, 2008. 368 p.

Lungu K.N. Organization of interdisciplinary connections as a condition of modernization of mathematical education of technical university students // Moscow State Technical University (MAMI) Bulletin. 2014. Vol. 5. № 2. pp. 141-146.

Matelenok A.P., Vakulchik V.S., Gavronskaya Yu.Yu., Safronova E.V. Forms and methodological techniques for applying interdisciplinary links in teaching mathematics to engineering students // Polotsk State University Bulletin. Series E: Pedagogical Sciences. 2024. № 2 (42). pp. 10-14.

Selevko G.K. Encyclopedia of educational technologies. In 2 Vols. Vol. 1. Moscow: Research Institute of School Technologies, 2006. 816 p.

Issue

Vol. 16 No. 6 (2026): Education Management Review

Section

TECHNOLOGIZATION OF THE PEDAGOGICAL PROCESS

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