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Modelling and Data Analysis
2019. Vol. 9, no. 4, 127–144
https://doi.org/10.17759/mda.2019090411
ISSN: 2219-3758 / 2311-9454 (online)

Propaedeutics of Solving Extreme Problems in the School Course of Mathematics

 
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Abstract

This article discusses the propaedeutics of solving extreme problems. As is known, such tasks play an important role in various fields of science and technology. They often reduce many of the problems that arise in the economy, industry and agriculture. As a rule, the solution of these problems requires the use of a fairly complex mathematical apparatus studied in higher education. However, many problems on the maximum and minimum can be solved by elementary means without the use of higher mathematics. The solution of such problems is very useful for students as propaedeutics of the relevant subjects.

General Information

Keywords: Distance on a plane, distance on a curved surface, geodesic line, level line, ellipse, hyperbola, gradient, extremum, perimeter, orthocentric triangle, pedal triangle, right triangle, isogonal straights, isogonal points, Torricelli point

Journal rubric: Method of Teaching

OpenAlex citations: 17

OpenAlex trends: Engineering Education and Technology, Geotechnical and Geomechanical Engineering, Structural mechanics and materials

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Number of citations: 17

Topics

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Article type: scientific article

DOI: https://doi.org/10.17759/mda.2019090411

Published

For citation: Kulanin, Y.D., Nurkaeva, I.M., Stepanov, M.E. (2019). Propaedeutics of Solving Extreme Problems in the School Course of Mathematics. Modelling and Data Analysis, 9(4), 127–144. (In Russ.). https://doi.org/10.17759/mda.2019090411

© Kulanin Y.D., Nurkaeva I.M., Stepanov M.E., 2019

License: CC BY-NC 4.0

References

  1. D’edonne Zh.. Lineinaya algebra i ehlementarnaya geometriya. – M., Nauka, 1972.
  2. Kulanin E.D., Stepanov M.E. Geometriya. Uchebnoe posobie. 9 klass. – M., Institut novykh obrazovatel’nykh sistem. 2001.
  3. Krivoshapko S.N., Ivanov V.N., Khalabi S.M. Analiticheskie poverkhnosti. – M., Nauka, 2006.
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  9. Kulanin E.D., Fedin S.N. Izbrannye zadachi po geometrii. Treugol’nik. M., Ileksa, 2016.
  10. Kulanin E.D., Nurkaeva I.M. O dvukh geometricheskikh zadachakh na ehkstremum. // «Matematika v shkolE», № 4, 2019, s.35-40.

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

Irina M. Nurkaeva, Candidate of Science (Education), Associate Professor of the Department of Applied Informatics and Multimedia Technologies, Moscow State University of Psychology and Education, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-1949-6734, e-mail: nurkaevaim@yandex.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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