The Study of Geometry as the Most Important Way to Develop Heuristic Thinking

N. Sal'kov

doi:10.12737/2308-4898-2024-12-1-22-31

UDC 378 UDC 514

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THE STUDY OF GEOMETRY AS THE MOST IMPORTANT WAY TO DEVELOP HEURISTIC THINKING The Study of Geometry as the Most Important Way to Develop Heuristic Thinking

АА Аа

Published in Geometry & Graphics · Volume 12, Issue 1 · Pages 22–31 · Rubric: Methodical questions of teaching

DOI: https://doi.org/10.12737/2308-4898-2024-12-1-22-31

Received: 24.07.2024 Accepted: 25.07.2024 Published: 25.07.2024

Authors

N. Sal'kov

Academic degree: candidate of technical sciences

Science rang: professor

MIREA – Russian technological university Russian Federation

ABSTRACT

Geometry by its nature is the most visual science of all that takes place in the life of mankind, and therefore the most visual for those who study at school or university – any book, even the most non-technical, contains drawings, and drawings, in turn, are directly related to geometry in general and descriptive geometry in general in particular. After all, geometry studies points, lines and surfaces, but if you look closely, any drawing consists of points, lines and surfaces. It is not difficult to notice, so it is difficult to refute. The clarity of the drawings for beginners to learn something is the most important help for understanding the text. From the clarity of the school with its drawings in textbooks, the first step is taken to abstraction: the study of exclusively points and flat geometric shapes that are included in planimetry. After studying the names of geometric shapes, the student begins to study the laws of construction, to study various theorems, to prove them, to apply these proofs to other, more complex theorems. Here comes into play a phenomenon that can be called heuristic thinking based on logical constructions. The article also shows the use of Olympiads – urban and All-Russian – to further improve the development of heuristic thinking among students in order to replenish the departments of geometric profiles of universities as a result, as well as replenish our country with scientists in the direction 2.5.1 — "Descriptive geometry and computer graphics. Digital product lifecycle support." And in other areas, too.

KEYWORDS

pedagogy, teaching, descriptive geometry, computer graphics, quality of education, heuristic thinking

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Zamestitel' glavnogo redaktora, chlen redsoveta

Vladimir Vyshnyepolskiy

Glavnyy redaktor

A. A. Ishchenko

Vypuskayuschiy redaktor

Dar'ya Sklyankina

501@infra-m.ru

Deputy editor-in-chief, member of the editorial Board

N. Sal'kov

nikolaysalkov@mail.ru

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Sal'kov N. A. The Study of Geometry as the Most Important Way to Develop Heuristic Thinking // Geometry & Graphics. 2024. no. 1. pp. 22-31. DOI: https://doi.org/10.12737/2308-4898-2024-12-1-22-31. (Date of access 07.10.2026).

MLA

N. Sal'kov. "The Study of Geometry as the Most Important Way to Develop Heuristic Thinking." Geometry & Graphics 12.1 (2024): 22-31. DOI: https://doi.org/10.12737/2308-4898-2024-12-1-22-31.

APA

Sal'kov N. A. (2024). The Study of Geometry as the Most Important Way to Develop Heuristic Thinking. Geometry & Graphics, 12(1), 22-31. https://doi.org/10.12737/2308-4898-2024-12-1-22-31

Chicago

N. Sal'kov. "The Study of Geometry as the Most Important Way to Develop Heuristic Thinking." Geometry & Graphics 12, no. 1 (2024): 22-31. https://doi.org/10.12737/2308-4898-2024-12-1-22-31.

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{{cite journal | author = Sal'kov N. A. | title = The Study of Geometry as the Most Important Way to Develop Heuristic Thinking | journal = Geometry & Graphics | year = 2024 | volume = 12 | issue = 1 | pages = 22-31 | doi = 10.12737/2308-4898-2024-12-1-22-31 }}

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THE STUDY OF GEOMETRY AS THE MOST IMPORTANT WAY TO DEVELOP HEURISTIC THINKING The Study of Geometry as the Most Important Way to Develop Heuristic Thinking

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