A Systematic Approach to the Methodology of Typhlopedagogy on the Example of Mathematical Analysis Problems

84

Abstract

The article discusses some of the problems that arise when working with students with visual defects. In particular, the authors discuss ways to improve the culture of mathematical thinking of students with visual defects. The authors rely on the experience of working at the Faculty of Information Technologies of Moscow State Moscow State University of Psychology & Education.

General Information

Keywords: higher education, task system, purposeful thinking, typhlopedagogics, methods of teaching mathematics, Euclidean geometry, spatial imagination, mathematical analysis, analytical geometry, integral calculus, testing of the level of development

Journal rubric: Method of Teaching

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2022120203

Received: 18.04.2022

Accepted:

For citation: Kulanin Y.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. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2022. Vol. 12, no. 2, pp. 34–82. DOI: 10.17759/mda.2022120203. (In Russ., аbstr. in Engl.)

References

  1. Stepanov M. E. From experience in the field of typhlopedagogics. Modeling and data analysis. Scientific journal. – No. 1, 2017.
  2. Kulanin E. D., Stepanov M. E., Nguyen Vu Quang. Tangible objectivity with computer support. Modeling and data analysis. Scientific Journal. – No. 4, 2019.
  3. 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.
  4. Stepanov M. E. Some questions of teaching methods of higher mathematics. Modeling and data analysis. Scientific journal. – No. 1, 2017.
  5. Kulanin E. D., Stepanov M. E., Nurkaeva I. M. Propaedeutics of solving extreme problems in the school course of mathematics. Modeling and data analysis. Scientific journal. No. 4, 2019.
  6. Kulanin E. D., Stepanov M. E., Nurkaeva I. M. The role of imaginative thinking in scientific thinking. Modeling and data analysis. Tom 10. № 2., 2020.
  7. Plato. Collected works in 4 volumes. Volume 1. Moscow: Mysl, 1990.
  8. Prasolov V. V. Three classical problems for construction. M. Nauka, 1992.
  9. Bukhstab A. A. Theory of numbers. M.: Enlightenment, 1966.
  10. Kordemsky B. A. Mathematical savvy. M.: State Publishing House. Technical and theoretical lit., 1956.
  11. Zubov V. P. Leonardo da Vinci. 1452-1519. M., Nauka, 2008.
  12. Nikifirovskiy V. A. The path to the integral. M., Nauka, 1985.
  13. Historical and mathematical research. M.: Nauka, 1985, Issue 28.
  14. Fichtenholz G. M. Course of differential and integral calculus. Volume 2. M.: Nauka, 1966.
  15. Balk M. B., Boltyansky V. G. Geometry of masses. M.: Nauka, 1987.
  16. Bashmakova I. G. Diophantine and Diophantine equations. M.: Nauka, 1972.
  17. Serpinsky V. On solving equations in integers. M.: State ed. phys.-mat. lit. 1961. 18. Kurosh A. G. Course of Higher Algebra. Moscow: Nauka, 1968.
  18. Kurosh A. G. Kurs vysshei algebry. M.: Nauka, 1968.
  19. Stepanov M. E. Some issues related to the Hermite interpolation polynomial. Modeling and data analysis. Scientific journal. – No. 1, 2014.
  20. Kendall M., Moran P. Geometric probabilities. M.: Nauka. 1972.
  21. Demidovich B. P., Maron I. A. Fundamentals of computational mathematics. Moscow: Nauka, 1966.

Information About the Authors

Yevgeny D. Kulanin, PhD in Physics and Matematics, Professor, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0001-6093-7012, e-mail: lucas03@mail.ru

Mikhail E. Stepanov, PhD in Education, Associate Professor, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0003-4803-8211, e-mail: mestepanov@yandex.ru

Alexander D. Panfilov, Student, Moscow State University of Psychology & Education, Moscow, Russia, e-mail: sp.999@bk.ru

Ilya S. Potonyshev, Student, Moscow State University of Psychology & Education (MSUPE), Moscow, Russia, e-mail: i-p99@mail.ru

Metrics

Views

Total: 375
Previous month: 42
Current month: 6

Downloads

Total: 84
Previous month: 3
Current month: 4