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Modelling and Data Analysis
2024. Vol. 14, no. 4, 138–162
https://doi.org/10.17759/mda.2024140410
ISSN: 2219-3758 / 2311-9454 (online)

Computational Experiment in Teaching Higher Mathematics. Geometry.

 
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Abstract

The article continues the cycle ([1] – [13]) of methodological developments of the authors. It discusses some problems related to ways to improve the culture of mathematical thinking of mathematics students. The authors rely on their work experience at the Faculty of Information Technology of MSUPE.

General Information

Keywords: higher education, methods of teaching mathematics, analytical geometry, af-fine geometry, projective geometry, geometric transformations, non-Euclidean geometry, spherical geometry, second-order curves

Journal rubric: Method of Teaching

OpenAlex citations: 0

OpenAlex trends: Advanced Theoretical and Applied Studies in Material Sciences and Geometry, 3D Modeling in Geospatial Applications, Computational Geometry and Mesh Generation

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Number of citations: 0

Topics

Advanced Theoretical and Applied Studies in Material Sciences and Geometry

This cluster of papers focuses on the application of nanomaterials, geometric modeling, and mathematical simulation in engineering. It covers topics such as nanomaterial-based polymer nanocomposites, technological equipment with electrohydraulic drives, vortex chamber pumps, and sustainable energy development. Additionally, it explores the use of descriptive geometry in modeling and design processes.

Number of works: 57200  |  Total number of citations: 226408

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3D Modeling in Geospatial Applications

This cluster of papers focuses on the applications and integration of 3D city models, including topics such as CityGML, BIM-GIS integration, indoor navigation, cadastral systems, urban development, spatial data management, energy simulation, building information modeling, and land administration.

Number of works: 62838  |  Total number of citations: 204205

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Computational Geometry and Mesh Generation

This cluster of papers focuses on advances in mesh generation algorithms, including Delaunay triangulations, Voronoi diagrams, and centroidal Voronoi tessellations. It also covers topics such as geometric optimization, quality meshing, computational geometry, hexahedral meshing, and approximation algorithms.

Number of works: 60583  |  Total number of citations: 730924

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Work details in OpenAlex

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2024140410

Received 09.10.2024

Accepted

Published

For citation: Kulanin, Y.D., Stepanov, M.E. (2024). Computational Experiment in Teaching Higher Mathematics. Geometry.. Modelling and Data Analysis, 14(4), 138–162. (In Russ.). https://doi.org/10.17759/mda.2024140410

© Kulanin Y.D., Stepanov M.E., 2024

License: CC BY-NC 4.0

References

  1. Kulanin E.D., Nurkaeva I.M. On two geometric extremum problems. Mathematics at school. 2019. No. 4. pp. 35-40.
  2. Kulanin E.D., Nurkaeva I.M. Once again about the Mavlo task. Mathematics at school. 2020. No. 2. pp. 76-79.
  3. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. Propaedeutics of solving extreme problems in the school mathematics course. Data modeling and analysis. 2019. No. 4. pp.127-144.
  4. Kulanin E. D., Nguyen Wu Quang, Stepanov M. E. Tangible objectivity with computer support. Data modeling and analysis. Scientific journal. 2019. No. 4. pp.145-156.
  5. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. The role of imaginative thinking in scientific thinking. Data modeling and analysis. 2020. Vol.10. No. 2 pp.110 - 128.
  6. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. On various approaches to solving extreme problems. Data modeling and analysis. 2020. Vol. 11. No.1. pp.40-60.
  7. Lungu K.N., Norin V.P., Pisny D.T., Shevchenko Yu.A., Kulanin E.D. Collection of problems in higher mathematics with control papers. Moscow, 2013. Volume 2 (8th edition).
  8. Stepanov M.E. Some questions of the methodology of teaching higher mathematics. Data modeling and analysis. 2017. No.1. pp.54-94.
  9. Kulanin E.D., Stepanov M. E. From the experience of working in remote mode Learning Modeling and data analysis. 2022. Vol. 12. No. 3. pp.58-70.
  10. Kulanin E.D., Stepanov M. E. Comprehensive consideration of mathematical concepts as a methodological technique. Data modeling and analysis. 2022. Vol. 12. No.4. pp.67-84.
  11. Kulanin E.D., Stepanov M. E. On visualization of solutions to some extreme problems. Data modeling and analysis. 2022. Vol.12. No.4. pp.94 - 104.
  12. Kulanin E.D., Stepanov M. E., Panfilov A.D., Potonyshev I.S. A systematic approach to the methodology of typhlopedagogy on the example of mathematical analysis problems. 2022. Vol. 12. No.2. pp.34-82.
  13. Kulanin E.D., Stepanov M. E. Computational experiment in teaching higher mathematics by the example of number theory. Data modeling and analysis. 2024. vol. 14. No.1. pp.170-195.
  14. Encyclopedia of Elementary Mathematics. The fourth book. Geometry. M., State Publishing House of Physics and Mathematics lit., 1963.
  15. Lysenko V. I. Nikolay Ivanovich Fuss, M., Nauka, 1975.

Information About the Authors

Yevgeny D. Kulanin, Candidate of Science (Physics and Matematics), Professor, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0001-6093-7012, e-mail: lucas03@mail.ru

Mikhail E. Stepanov, Candidate of Science (Education), Associate Professor, Department of Applied Mathematics, Faculty of Information Technologies, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0003-4803-8211, e-mail: mestepanov@yandex.ru

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