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ГЕОМЕТРИЯЛЫҚ МОДЕЛЬДЕУ АРҚЫЛЫ ҚЫСҚАША КӨБЕЙТУ ФОРМУЛАЛАРЫН ТҮСІНДІРУ ӘДІСТЕМЕСІын түсіндіру әдістемесі
Автор(ы)
Ілияс Исламұлы Жолдас
Дата публикации
31 марта 2026 г.
Тип
journal article
Издатель
Shakarim University
Журнал
Выпуск
1(5)
Первая страница
19
Последняя страница
29
ISSN
3135-8160
Аннотация
This article examines the method of geometric modeling as an effective teaching methodology for formulas of abbreviated multiplication. The main goal of the research is to develop a methodology for visual explanation of algebraic identities through geometric models. The article presents visual proofs of basic formulas such as (a ± b)², a² - b², (a ± b)³, a³ ± b³ using area and volume models. The study analyzes how geometric modeling facilitates students' comprehension of abstract concepts, improves memorization, and enables deeper understanding of mathematical statements. The impact of using visualization on enhancing learning motivation, facilitating topic comprehension, and ensuring knowledge retention has been investigated. The proposed methodology will help teachers simplify the teaching of abbreviated multiplication formulas and will contribute to the development of students' mathematical thinking and spatial imagination. Explanation through modeling serves as a practical tool for teachers, enabling them to effectively organize instruction not only for abbreviated multiplication formulas but also for other areas of mathematics. According to the conclusion of the article, geometric modeling is a modern and effective approach that significantly enhances the didactic potential of teaching mathematics.
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