DATA SCIENCE IN THE MANAGEMENT OF EDUCATIONAL SPACE

Development of interdisciplinary practice-oriented tasks in mathematical analysis, linear algebra and analytic geometry using Mathcad in the digital educational environment of a university

Authors

  • Irina V. Abramova https://orcid.org/0000-0001-6570-4007 Academician E.A. Wagner Perm State Medical University, 614000, Perm, Petropavlovskaya Street, building 26
  • Ekaterina A. Vetrenko MIREA – Russian Technological University, 119454, Moscow, Vernadskogo Avenue, 78
  • Renate Yu. Gurnikovskaya MIREA – Russian Technological University, 119454, Moscow, Vernadskogo Avenue, 78
  • Francheska K. Matsur MIREA – Russian Technological University, 119454, Moscow, Vernadskogo Avenue, 78
  • Igor M. Tararin State University of Management; MIREA – Russian Technological University, 109542, Moscow, Ryazansky Prospekt, 99
DOI: 10.25726/a4253-7482-5057-n EDN: HEVRMY

How to cite

GOST Abramova I. V., Vetrenko E. A., Gurnikovskaya R. Y., Matsur F. K., Tararin I. M. Development of interdisciplinary practice-oriented tasks in mathematical analysis, linear algebra and analytic geometry using Mathcad in the digital educational environment of a university // Education Management Review. 2026. Vol. 16. No. 10. P. 253-268. DOI: 10.25726/a4253-7482-5057-n
APA Abramova, I. V., Vetrenko, E. A., Gurnikovskaya, R. Y., Matsur, F. K. & Tararin, I. M. (2026). Development of interdisciplinary practice-oriented tasks in mathematical analysis, linear algebra and analytic geometry using Mathcad in the digital educational environment of a university. Education Management Review, 16(10), 253-268. https://doi.org/10.25726/a4253-7482-5057-n

Abstract

The basic mathematical block of the first year in engineering and economics bachelor programmes is still organised around the internal logic of its own sections, whereas the federal state educational standards now in force oblige a graduate to solve professional problems by drawing both on mathematical apparatus and on modern software. The gap between the wording of a standard and the didactic shape of a single learning task is what this paper examines, and the aim is to derive the structure of such a task directly from the regulatory text. The material comprises six standards currently in force for the fields 01.03.02, 08.03.01, 09.03.01, 11.03.04, 13.03.02 and 38.03.01, which together contain 37 general professional competences. A single competence statement served as the unit of analysis; content analysis with three coding rules fixed in advance was combined with a criterion-based comparison of wordings and with the design of a set of 24 tasks. Mathematical apparatus is named in 9 statements, digital tools in 14 and the processing of results in 5, yet only two statements tie a mathematical operation to a software tool inside one requirement. A four-component task structure and a typology of four types, told apart by what is carried across the disciplinary boundary, follow from that distribution. Because the two requirements sit in separate competences, the link between a mathematical procedure and a professional quantity has to be built on purpose. Automatic agreement of units together with symbolic and numeric work kept in one Mathcad worksheet brings that link within reach of a first-year student, while the university digital environment supplies varied input quantities and a common form of reporting.

Keywords

interdisciplinary learning task practice-oriented teaching mathematical analysis linear algebra analytic geometry Mathcad digital educational environment of a university federal state educational standard unit checking

Funding

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

References

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 the independent work of students and cadets studying Mathematical Analysis // Education Management: Theory and Practice. 2025. vol. 15. no. 9-2. pp. 67-77.

Dorofeev A.V., Yakovleva A.A., Mansurova S.E. Digital technologies in organizing the sign-symbolic activity of students at a technical university // Perspectives of Science and Education. 2025. no. 4. pp. 492-504.

Kalinin S.I., Pankratova L.V. Variable components of a university course in mathematical analysis: experience of implementation in teaching practice // Education and Science. 2020. vol. 22. no. 1. pp. 113-145.

Kornilov V.S. Interdisciplinary scientific connections in the content of teaching applied mathematics // RUDN Journal of Informatization in Education. 2019. vol. 16. no. 2. pp. 162-172.

Lykova K.G., Igonina E.V., Simonovskaya G.A. Innovative practice of teaching mathematics, physics and informatics to develop the intellectual mobility of students in the university's digital educational environment // Perspectives of Science and Education. 2026. no. 3. pp. 219-234.

Myasnikova S.V. Professionally oriented mathematics problems for future teachers of geography and ecology // Pedagogy. Theory and Practice. 2022. no. 5. pp. 487-495.

Novikova S.V., Sosnovskiy S.A., Yakhina R.R., Valitova N.L., Kremleva E.Sh. Features of designing computer tutoring programs for teaching numerical methods in mathematics to future engineers // Integration of Education. 2017. vol. 21. no. 2. pp. 322-343.

Perminov E.A., Testov V.A. Mathematization of specialized disciplines as the basis for the fundamentalization of IT training at universities // Education and Science. 2024. vol. 26. no. 7. pp. 12-43.

Popova O.I., Timokhina G.S., Izakova N.B., Kapustina L.M. “Student voice” regarding the components of the digital educational environment in the process of online learning // Integration of Education. 2024. vol. 28. no. 4. pp. 606-623.

Rakhimov A.A. Theoretical aspects of using the Maple computer modeling system in teaching mathematics to students at technical universities // RUDN Journal of Informatization in Education. 2025. vol. 22. no. 1. pp. 58-75.

Romanova E.S., Ryzhkova M.N. Improving the effectiveness of student learning using an online simulator for solving unconstrained optimization problems // Informatics and Education. 2023. vol. 38. no. 5. pp. 65-77.

Usova L.B., Shakirova D.U. A practice-oriented approach to developing the mathematical competence of students enrolled in the Mathematics and Computer Science program // Vestnik of Orenburg State University. 2018. no. 1 (213). pp. 77-83.

Khaperskaya A.V., Minin M.G. Electronic Learning Platform and Pedagogical Monitoring in the Context of Digital Transformation // Higher Education in Russia. 2021. vol. 30. no. 4. pp. 131-138.

Shelepaeva A.Kh. Educational Online Platforms: Classification and Evaluation Criteria // Open Education. 2022. vol. 26. no. 3. pp. 27-34.

Etcuban J.O., Campanilla B.S., Horteza A.D. The use of Mathcad in the achievement of education students in teaching college algebra in a university // International Electronic Journal of Mathematics Education. 2019. Vol. 14. no. 2. pp. 341-351.

Issue

Vol. 16 No. 10 (2026): Education Management Review

Section

DATA SCIENCE IN THE MANAGEMENT OF EDUCATIONAL SPACE

Metrics

0 views
0 downloads

Rights and terms of use

Copyright holder: Education Management Review

Terms of use of the full text: CC BY-NC-ND 4.0

Article metadata are available under CC0 1.0

JATS XML
Full-text version
Want to publish with us?
Submit an article

Most read articles by the same author(s)

1 2 3 > >>