Comprehensive Consideration of Mathematical Concepts as a Methodical Technique

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Abstract

The article continues the cycle ([1]-[4], [8]-[11]) 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 the experience of working at the Faculty of Information Technology of MSUPE.

General Information

Keywords: higher education, methods of teaching mathematics, analytical geometry, affine geometry, second-order curves, Steiner ellipse, geometric transformations, extreme problems

Journal rubric: Method of Teaching

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2022120405

Received: 07.11.2022

Accepted:

For citation: Kulanin Y.D., Stepanov M.E. Comprehensive Consideration of Mathematical Concepts as a Methodical Technique. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2022. Vol. 12, no. 4, pp. 67–84. DOI: 10.17759/mda.2022120405. (In Russ., аbstr. in Engl.)

References

  1. Stepanov M. E. Interdisciplinary connections in the general course of higher mathematics. Modeling and data analysis. Volume 11. No. 2., 2021. Modeling and data analysis. Tom 10. № 2., 2020.
  2. Stepanov M. E. Some questions of teaching methods of higher mathematics. Modeling and data analysis. Scientific Journal - 2017.
  3. Stepanov M. E. Computer technologies as a means of introducing a student to mathematical reality. Modeling and data analysis. Scientific journal. – №1, 2018.
  4. Kulanin E. D., Stepanov M. E., Nurkaeva I. M. The role of imaginative thinking in scientific thinking. Modeling and analysis of data. Tom 10. № 2., 2020.
  5. Yaglom I. M., Ashkinuse V. G. Ideas and methods of affine and projective geometry. Part I. Affine Geometry. M. State Educational and Pedagogical Publishing House of the Ministry of Education of the RSFSR. 1962.
  6. Alexandrov P. S. Course of analytical geometry and linear Algebra. M., Nauka, 1979.
  7. Prasolov V. V. Problems in Planimetry. M., Publishing House of the Moscow Institute of Physics and Technology, 2006.
  8. Kulanin E.D., Nurkaeva I.M. On two geometric problems on the extremum. Math at school. 2019. No. 4. pp. 35-40.
  9. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. Propaedeutics of solving extreme problems in the school course of mathematics. Data modeling and analysis. 2019. No. 4. pp.127-144.
  10. Kulanin E.D., Nurkaeva I.M. Once again about the Mavlo problem. Math at school. 2020. No. 2. pp. 76-79.
  11. Kulanin E.D., Stepanov M. E., Nurkaeva I.M. On various approaches to solving extreme problems. Modeling and analysis of data. 2020. Vol.11. No. 1. pp.40-60.

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

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