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Previous issue (2021. Vol. 11, no. 1)

Modelling and Data Analysis

Publisher: Moscow State University of Psychology and Education

ISSN (printed version): 2219-3758

ISSN (online): 2311-9454


License: CC BY-NC 4.0

Started in 2011

Published 4 times a year

Free of fees
Open Access Journal


The Role of Imaginative Thinking in Scientific Thinking 60


Kulanin Y.D.
PhD in Physics and Matematics, Professor, Moscow State University of Psychology and Education, Moscow, Russia

Stepanov M.E.
PhD in Education, Associate Professor, Moscow State University of Psychology and Education, Moscow, Russia

The article discusses the role of creative thinking in scientific thinking and in particular in the teaching of mathematics in higher educational institutions. From this point of view, the relationship between abstract analytical and visual geometric methods in mathematics is highlighted, and it is concluded that the latter form the basis for the application of creative thinking in mathematics.

Keywords: learning, mathematics, logic, image, imagination, abstract thinking, visual thinking

Column: Teaching Methodology


For Reference

  1. Hadamard Zh. Research on the psychology of the invention process in the field of mathematics, Moscow, 1970.
  2. Boikov A.I., Boikova I.V. on the unity of the methodological basis of Chan martial arts and painting. Sat. nauch. Tr. Buddhism and cultural and psychological traditions of the peoples of the East. Novosibirsk, 1990.
  3. Bolshaya Sovetskaya enciklopediya, Moscow, 1954, vol. 26.
  4. Vasilyuk F.E. Psychology of experience. Moscow, 1984.
  5. Volodarsky A.I. Essays on the history of medieval Indian mathematics, Moscow, 1977.
  6. Voloshinov A.V. Pythagoras, Moscow, 1993.
  7. Davydov V.V. Types of generalization in training. Moscow, 1972.
  8. Dieudonne J.Linear algebra and elementary geometry. M., 1972.
  9. Chalmers D. the Conscious mind: in search of a fundamental theory, Moscow, 2015.
  10. Zavadskaya E.V. Conversations about Shih-Tao painting, Moscow, 1978.
  11. Klein F. Elementary mathematics from the higher point of view: Geometry, Moscow, 1987.
  12. Korolenko Ts. P., Frolova S.V. the Miracle of imagination. Novosibirsk, 1975.
  13. Short psychological dictionary, Moscow, 1985.
  14. Kulanin E.D., Stepanov M.E., Nurkaeva I.M. Propaedeutics of solving extreme problems in the school course of mathematics. Modeling and data analysis. – 2019. – No. 4.
  15. Kulanin E.D., Nurkaeva I.M. On two geometric problems on the extremum. Mathematics at school. M.-2019. – No. 4. – P. 39–44.
  16. Kulanin E.D., Nurkaeva I.M. Once again about the Mavlo problem. Mathematics at school. – 2020. – № 2. – Pp. 76–79.
  17. Nurkaeva I.M. Methods of organizing independent work of students with computer programs in physics classes. Dissertation for the degree of candidate of pedagogical Sciences, Moscow, 1999.
  18. Nurkaeva I.M. Features of teaching programming to blind students of MSPPU. Modeling and data analysis. – 2004. – no. 4.
  19. Nurkaeva I.M. Information system for educational and methodological support of the discipline “Numerical methods of linear algebra”. Modeling and data analysis. – 2020. – no. 1. – Pp. 176–188.
  20. Piaget J., Inelder V. Genesis of elementary logical structures. Moscow, 1963.
  21. Potemkin V.K., Simanov A.L. Space in the structure of the world. Novosibirsk, 1990.
  22. Poetry and prose of the ancient East, Moscow, 1973.
  23. Psychology of emotions. Texts. Edited by V.K. Vilyunas, Yu. b. Gippenreiter. M., 1984.
  24. Poincare A., couture L. Mathematics and logic. Moscow, 2010.
  25. Smirnov S.D. Psychology of the image: the Problem of activity of mental reflection. Moscow, 1988.
  26. Modern Western philosophy. Dictionary, Moscow, 1991.
  27. Stepanov M.E. Computer technologies as a means of introducing students to mathematical reality. // Modeling and data analysis. – 2018. – No. 1.
  28. Stepanov M.E. Some questions of methods of teaching higher mathematics. Modeling and data analysis. – 2017. – No. 1.
  29. Stepanov M.E. The image of a force field as a heuristic model in mathematics. Data modeling and analysis. Proceedings of the faculty of information technologies of msppu. – 2007. – Issue 3.
  30. Stepanov M.E. Features of using computer technology to study functions in high school. Dissertation for the degree of candidate of pedagogical Sciences, Moscow, 1994.
  31. Teplov B.M. Selected works. vol. 1., Moscow, 1988.
  32. A.A. Ukhtomsky’s Doctrine of the dominant and modern neurobiology. Sat. nauch. Tr. L., 1990.
  33. Follesdal D. the Concept of noema in the phenomenology of Husserl. SB. nauch. Tr. Methodological analysis of the foundations of mathematics. M., 1988.
  34. Davydov V.V., Zinchenko V.P. the Principle of development in psychology. Sat. nauch. Tr. Dialectics in the Sciences of nature and man. M., 1983. Issue 2.
  35. Speizer A. Preface to the first volume of Leonhard Euler: Introduction to the analysis of infinitesimals, Moscow, 1961.
  36. Language. Philosophical encyclopedia, Moscow, 1989.
  37. Yakimanskaya I.S. Development of spatial thinking of schoolchildren. Moscow, 1980.

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