Russian Psychological Issues
JournalsTopicsAuthorsEditor's Choice For AuthorsAbout PsyJournals.ruContact Us

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


Propaedeutics of Solving Extreme Problems in the School Course of Mathematics 68

Kulanin Y.D.
PhD in Physics and Matematics, Professor of the Departmentnof Applied Mathematics, Moscow state University of Psychology and Education, Moscow, Russia

Nurkaeva I.M.
PhD in Education, Associate Professor of Applied Informatics and Multimedia Technologies Department of Information Technologies Faculty, MSUPE, Moscow, Russia

Stepanov M.E.
PhD in Education, Associate Professor of the Department of Applied Mathematics Faculty of Information Technologies, Moscow State University of Psychology and Education, Moscow, Russia

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.

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

Column: Teaching Methodology


For Reference

  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.
  4. Prasolov V.V. Geometriya Lobachevskogo. – M., MTSNMO, 2004.
  5. Finikov S.P. Teoriya poverkhnostei. – M., KoMKniga, 2010.
  6. Mavlo D.P. Problem 624. // Crux Mathematicorum, Vol.7, 1981, № 4 (April), p.116.
  7. Mavlo D.P. Solution to the Problem 624. // Crux Mathematicorum, Vol.8, 1982, № 4 (April), p.109–111.
  8. Kukushkin B.N. Reshenie zadachi № 136. // «Matematika v shkolE», № 4, 2017, s.67–68.
  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.
comments powered by Disqus

© 2007–2020 Portal of Russian Psychological Publications. All rights reserved in Russian

Publisher: Moscow State University of Psychology and Education

Catalogue of academic journals in psychology & education MSUPE

Creative Commons License

RSS Psyjournals at facebook Psyjournals at Twitter Psyjournals at Youtube ??????.???????