Methodological Features of Teaching Construction Tasks in the Course of School Geometry

Construction tasks are one of the main materials of the geometry course. Construction tasks in a geometry course are of great importance when teaching theoretical material, as they allow students to better understand the relationship between geometric shapes. The formulation of definitions, the use, if possible, of geometric constructions in proving theorems - increases the activity of the whole class and ensures the awareness and strength of the material. In the process of solving construction problems, students develop spatial representations and constructive skills, that is, the ability to perform mental and constructive operations to construct a given figure, with a detailed discussion of how to construct a geometric figure sought for certain elements. In addition, the solution of each problem, in addition to constructing geometric shapes, plays an important role in the systematization and consolidation of students' knowledge, as it consists of the stages of preliminary analysis, proof of the solution of the problem and research of the solution. However, the need to teach construction tasks when teaching geometry at school and its educational and methodological literature, didactic materials, applied information resources, etc. The presence of contradictions between insufficient support determines the relevance of the problem of teaching geometric construction tasks. This article provides scientific and methodological recommendations for solving problems, identifying problems that arise in the process of teaching construction tasks in the course of planimetry.

Anahtar Kelimeler:

school geometry, methods of teaching geometry, methods for solving building problems, stages of problem solving

Methodological Features of Teaching Construction Tasks in the Course of School Geometry

Keywords:

school geometry, methods of teaching geometry, methods for solving building problems, stages of problem solving,

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1. Qazaqstan Respublikasynda bіlіm berudі jane gylymdy damytudyn 2020–2025 jyldarga arnalgan memlekettіk bagdarlamasy // Qazaqstan Respublikasy Ukіmetіnіn 2019 jylgy jeltoqsandagy №988 qaulysymen bekіtіlgen. [Elektrondy resurs]. URL: https://adilet.zan.kz/kaz/docs/P1900000988 [in Kazakh]
2. Negіzgі orta bіlіm beru dengeiіnіn 7–9-synyptaryna arnalgan «Geometriia» panіnen ulgіlіk oqu bagdarlamasy // Qazaqstan Respublikasy Bіlіm jane gylym ministrіnіn 2017 jylgy 25 qazandagy №545 buirygymen bekіtіlgen. [Elektrondy resurs]. URL:https://ziatker.kz/docx/negizgi_orta_bilim_bery_denggeiining_7_9_synyptaryna_arnalgan_geometriya_paninen_ulgilik_oqy_bagdarlamasy_289.html [in Kazakh]
3. Bіlіm berudіn barlyq dengeiіnіn memlekettіk jalpyga mіndettі bіlіm beru standarttary // Qazaqstan Respublikasy Bіlіm jane gylym ministrіnіn 2018 jylgy 31 qazandagy №604 buirygymen bekіtіlgen. [Elektrondy resurs]. URL: https://adilet.zan.kz/kaz/docs/V1800017669 [in Kazakh]
4. Abіlqasymova A.E., Ardabaeva A.K. Orta mekteptegі geometriialyq bіlіm beru mazmunynyn keibіr aspektіlerі [Some aspects of the content of geometric education in high school] // PMU habarshysy, Pedagogikalyq seriiasy. – 2020. – №2. – B. 27–37. [in Kazakh]
5. Shynybekov A.N., Shynybekov D.A., Jumabaev R.N. Geometriia [Geometry]. – Almaty: Atamura, 2019. – 176 b. [in Kazakh]
6. Smirnov V.A., Tuiaqov E.A. Geometriia [Geometry]. – Almaty: Mektep, 2019. – 185 b. [in Kazakh] 7. Soltan G.N., Soltan A.E., Jumadilova A.J. Geometriia [Geometry]. – Kokshetau: Geometriia, 2019. – 239 b. [in Kazakh]
8. Mazanik A.A. Zadachi na postroenie po geometrii [Geometry building tasks]. – Minsk: Izdatelstvo «Narodnaia Asveta», 1967. – 142 s. [in Russian]
9. Jumagalieva A.E., Esetov E.N. Salu esepterіn dengeilep oqytu tehnologiiasy arqyly sheshu adіstemesі [Methods of solving construction problems using the technology of tiered learning] // BQMU habarshysy, Pedagogikalyq seriiasy. – 2018. – №4(72). – B. 139–145. [in Kazakh]
10. Rahymbek D., Madiiarov N.K. Geometriialyq salu esepterі [Geometric construction problems]. – Almaty: Evero, 2015. – 285 b. [in Kazakh]
11. Otazhonov R.K. Geometrik iasash metodlari [Geometric construction methods]. – Toshkent: «Uqituvchi» nashriioti, 1971. – 404 s. [in Uzbek]
12. Argunov B.I., Balk M.B. Elementarnaia geometriia [Geometric constructions performed in the plane]. – Moskva: Prosveshenie, 1966. – 368 s. [in Russian]
13. Junіsov T.A. Planimetriialyq salu esepterіn shygaru adіsterі [Methods for solving planimetric construction problems]. – Almaty: Bіlіm, 1998. – 94 b. [in Kazakh]