Olympiad tasks on geometry, methodical techniques for their solution

Aida Keldibekova; Nina Selivanova

doi:doi:10.12737/article_5d6772e7b75a81.22805374

UDC 37 CSCSTI 14.27 Russian Classification of Professions by Education 44.02.03 Russian Library and Bibliographic Classification 7426 Russian Trade and Bibliographic Classification 3018

Olympiad tasks on geometry, methodical techniques for their solution

Published в Profession-Oriented School · Volume 7, Issue 4, 2019 · Pages 34–37 · Rubrics: Modern content of training

DOI 10.12737/article_5d6772e7b75a81.22805374

Received: 27.03.2019 Accepted: 29.08.2019 Published: 24.09.2019 Language of publication: RUS

Authors

Aida Keldibekova ¹ iD · Nina Selivanova ²

1 Osh, Kyrgyzstan

2 Osh state university (Faculty "Mathematics and Information Technologies", senior lecturer)
Osh, Kyrgyzstan

ABSTRACT

The main content of the article is devoted to the geometric problems of mathematical school olympiads. The study revealed the types of operating with spatial images in the process of solving problems, the stages of forming spatial representations of students in the study of geometry and objectives of the course of visual geometry. It was concluded that the formation of spatial, topological, spatial, projective representations goes through successive stages, developing the geometric skills of schoolchildren. Olympiad tasks, designed on the basis of school programs and textbooks on geometry, make it possible to check the formation of the geometric skills of schoolchildren. The article may be of interest to mathematics teachers, students and schoolchildren who are interested in methods of solving olympiad problems in geometry.

KEYWORDS

olympiad geometry spatial image problem method proof

Information References

Authors:

1. Osh, Kyrgyzstan

2. Osh state university (Faculty "Mathematics and Information Technologies", senior lecturer)

Osh, Kyrgyzstan

Type:

Article

Pages:

from 34 to 37

Status:

Published

Subject area:

UDC 37
CSCSTI 14.27
Russian Classification of Professions by Education 44.02.03
Russian Library and Bibliographic Classification 7426
Russian Trade and Bibliographic Classification 3018

Language:

Russian, English

Keywords:

olympiad, geometry, spatial image, problem, method, proof

References

1. Keldibekova A.O. Rol' i mesto geometrii v sisteme shkol'nyh predmetnyh olimpiad [The role and place of geometry in the system of school subject Olympiads]. Nauchnye issledovaniya i razrabotki. Social'no-gumanitarnye issledovaniya i tekhnologii [Scientific research and development. Social and humanitarian research and technology]. Available at: https://naukaru.ru/ru/nauka/article/28081/view

2. Kaplunovich I.Ya. Pokazateli razvitiya prostranstvennogo myshleniya shkol'nikov [Indicators of the development of spatial thinking of schoolchildren]. Voprosy psihologii [Psychology Issues]. 1981, I. 5, pp. 151-157.

3. Bajsalov Dzh.U., Keldibekova A.O. Obuchenie bakalavrov, budushchih uchitelej matematiki, podgotovke shkol'nikov k matematicheskim olimpiadam na zanyatiyah discipliny po vyboru [Teaching bachelors, future teachers of mathematics, preparing schoolchildren for mathematical olympiads in elective classes]. Sovremennye problemy nauki i obrazovaniya [Modern problems of science and education]. 2017, I. 5, p. 275. Available at: http://science-education.ru/ru/article/view?id=26881 DOI: https://doi.org/10.17513/spno.26881; EDN: https://elibrary.ru/ZQNJHJ

4. Sevryukov P.F. Shkola resheniya olimpiadnyh zadach po matematike [School for solving olympiad problems in mathematics]. Moscow: Ileksa Publ. Stavropol', 2018. 176 p. EDN: https://elibrary.ru/UOWGUF

5. Abdulkin V.V., Busarkina L.R., Majer V.R. Sbornik olimpiadnyh zadach po geometrii dlya uchashchihsya 8-11 klassov [Collection of Olympiad problems in geometry for students in grades 8-11]. Krasnoyarsk: KGPU im. V.P. Astaf'eva Publ., 2011. 204 p. EDN: https://elibrary.ru/NISCVT

6. Keldibekova A.O. Realizaciya kompetentnostnogo podhoda v podgotovke uchashchihsya k shkol'nym matematicheskim olimpiadam [The implementation of the competency-based approach in preparing students for school mathematical olympiads]. Alatoo Academic Studies [Alatoo Academic Studies]. № 1, pp. 338-344.

7. Keldibekova A.O. Zadachi gorodskoj olimpiady shkol'nikov po matematike [Tasks of the city olympiad of schoolchildren in mathematics]. Zhurnal estestvenno-nauchnyh issledovanij [Journal of Natural Scientific Research]. 2019, I. 1. Available at: https://naukaru.ru/ru/nauka/article/27299/view EDN: https://elibrary.ru/AXMFPV

8. Keldibekova A.O. Zadachi respublikanskoj olimpiady shkol'nikov po matematike//Profil'naya shkola [Tasks of the Republican Olympiad of schoolchildren in mathematics]. I. 2(95). Available at: https://naukaru.ru/ru/nauka/article/27320/view

9. Keldibekova A.O. Zadachi oblastnoj olimpiady shkol'nikov po matematike [Tasks of the regional school Olympiad in mathematics]. Nauchnye issledovaniya i razrabotki. Social'no-gumanitarnye issledovaniya i tekhnologii [Research and Development. Social and humanitarian research and technology]. Available at: https://naukaru.ru/ru/nauka/article/27956/view

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