The Use of Images in Teaching Higher Mathematics

The article continues the cycle of methodological developments of authors [1] - [17]. It discusses some problems related to ways to improve the culture of mathematical thinking of mathematics students. The authors rely on the experience of working at the Faculty of Information Technology of MSUPE.

1. Stepanov M. E. The image of a force field as a heuristic model in mathematics. Modeling and data analysis. Proceedings of the Faculty of Information Technologies of MGPPU. – Issue 3., 2007.
2. Stepanov M. E. The Erlangen Klein program and the geometry of a triangle. Modeling and data analysis. Proceedings of the Faculty of Information Technologies of MGPPU. - 2015. No. 1. pp.100-135.
3. Stepanov M. E. Klein's Erlangen program and the geometry of triangles (Part two). Modeling and data analysis. Proceedings of the Faculty of Information Technologies of MGPPU. - 2016. No. 1. pp.60-115.
4. Stepanov M. E. Erlangen Klein program and triangle geometry Modeling and Data analysis. Mathematical education. 2017. No.3(83). pp.28-42.
5. Stepanov M. E. Computer technologies as a means of introducing the student to mathematical reality. Modeling and data analysis. Scientific journal. – Issue 1, 2018.
6. Kulanin E.D., Nurkaeva I.M. On two geometric problems on the extremum. Math at school. 2019. No. 4. p. 3
7. Kulanin E.D., Nurkaeva I.M. Once again about the Mavlo problem. Mathematics in school. 2020. No. 2. pp. 76-79.
8. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. Propaedeutics of solving extreme problems in the school course of mathematics. Modeling and analysis of data. 2019. No. 4. pp.127-144.
9. Kulanin E. D., Nguyen Wu Quang, Stepanov M. E. Tangible objectivity with computer support. Modeling and data analysis. Scientific Journal nal. 2019. No. 4. pp.145-156.
10. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. The role of imaginative thinking in scientific thinking. Modeling and data analysis. 2020. Vol.10. No.2 pp.110 - 128.
11. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. On various approaches to solving extreme problems. Modeling and data analysis. 2020. Vol.11. No.1. pp.40 - 60. 
12. Lungu K.N., Norin V.P., Pismennyi D.T., Shevchenko Yu.A., Kulanin E.D. Collection of problems in higher mathematics with control papers. Moscow, 2013. Volume 2 (8th edition).
13. Stepanov M.E. From experience in the field of typhlopedagogics. Modeling and data analysis. 2017. No. 1. pp.42-53.
14. Stepanov M.E. Some questions of the methodology of teaching higher mathematics. Modeling and data analysis. 2017. No. 1. pp.54-94.
15. Kulanin E.D., Stepanov M. E. From the experience of working in the remote mode Learning Modeling and data analysis. 2022. Vol.12. No.3. pp.58-70.
16. Kulanin E.D., Stepanov M. E. Comprehensive consideration of mathematical concepts as a methodological technique. Modeling and data analysis. 2022. Vol.12. No.4. pp.67-84.
17. Kulanin E.D., Stepanov M. E. On visualization of solutions to some extreme problems. Modeling and data analysis. 2022. Vol.12. No. 4. pp.94 - 104.
18. Dieudonne J. Linear algebra and elementary geometry. M., Nauka, 1972.
19. Hegel G. V. F. Science of Logic. Volume 1. M., Mysl, 1970.
20. Losev A. F. Dialectics of myth. M., Ast, 2021.
21. Arnold V. I. On teaching mathematics. Successes of mathematical sciences. vol. 53, issue.1 (319), 1998.
22. Vitushkin A. G. Estimation of the complexity of the tabulation problem. M., State Publishing House of Physics and Mathematics lit., 1959.
23. Stepanov M. E. On a class of continuous functions. Modeling and data analysis. Proceedings of the Faculty of Information Technologies of MGPPU. – Issue 4, 2009.
24. Kline M. Mathematics. The Loss of Certainty. M., Mir, 1984, p.372.
25. Spivak M. Mathematical analysis on manifolds. M., Mir, 1968.