PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS

Maret Visitaeva

doi:10.12737/1998-0744-2026-14-1-25-32

UDC

PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS

Published in Profession-Oriented School · Pages 25–32 · Rubric: Innovative models of education

DOI: https://doi.org/10.12737/1998-0744-2026-14-1-25-32

Received: 16.12.2025 Accepted: 02.02.2026 Published: 27.03.2026

Authors

Maret Visitaeva

ORCID Scopus SPIN

Maret Visitaeva

Academic degree: doctor of pedagogical sciences

Science rang: professor

Kadyrov Chechen State University professor · Department of Mathematical Analysis, Algebra and Geometry

ORCID Scopus SPIN

ABSTRACT

This article considers the actual problem of development of the geometrical component of students' mathematical abilities, which is relevant not only for one national system of education, but as international monitoring studies (TIMSS, PISA, etc.) show in general and globally. The aim of the study is to identify personal characteristics (“geometric vision”, the ability of spatial representations, the role of students' intrinsic motivation, etc.) for use in the process of solving geometric problems. The technology was developed for use in the process of solving predominantly geometric problems, manifested in a personalized approach, prioritizing identified personal characteristics. As an example, a mathematical description of a stereometric problem is offered and its solution is analyzed in a psychological and pedagogical context, in the context of the development of the geometric component of students' mathematical abilities. The results of the analysis of theoretical and practical interpretation of the content, in the context of the problem under consideration, can serve as a basis for designing a modern model of teaching the younger generation: for building a model of development of the geometric component of their mathematical abilities and the technology of solving geometric problems (mainly stereometric), taking into account the priority tasks of secondary general education and federal working programmes of teaching the course ‘Geometry’.

KEYWORDS

TIMSS and PISA, development, perception, mathematical abilities of students, content, geometric problems, technology, characteristics of “geometric vision”, spatial representation abilities and the role of intrinsic motivation of students, a prototype of a stereometric problem from profile mathematics.

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Zamestitel' glavnogo redaktora

Valentina Abaturova

vabaturova@bk.ru

Vypuskayuschiy redaktor

Dar'ya Sklyankina

501@infra-m.ru

GOST

Visitaeva M. B. PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS // Profession-Oriented School. 2026. no. 1. pp. 25-32. DOI: https://doi.org/10.12737/1998-0744-2026-14-1-25-32. (Date of access 16.09.2026).

MLA

Maret Visitaeva. "PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS." Profession-Oriented School 14.1 (2026): 25-32. DOI: https://doi.org/10.12737/1998-0744-2026-14-1-25-32.

APA

Visitaeva M. B. (2026). PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS. Profession-Oriented School, 14(1), 25-32. https://doi.org/10.12737/1998-0744-2026-14-1-25-32

Chicago

Maret Visitaeva. "PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS." Profession-Oriented School 14, no. 1 (2026): 25-32. https://doi.org/10.12737/1998-0744-2026-14-1-25-32.

WIKI

{{cite journal | author = Visitaeva M. B. | title = PSYCHOLOGICAL AND PEDAGOGICAL CONCEPTS OF SOLVING SOME GEOMETRIC PROBLEMS | journal = Profession-Oriented School | year = 2026 | volume = 14 | issue = 1 | pages = 25-32 | doi = 10.12737/1998-0744-2026-14-1-25-32 }}

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