Remarkable triangle lines and how to solve complex problems associated with these problems

dc.contributor.authorZhandos B.
dc.date.accessioned2026-04-08T05:41:58Z
dc.date.available2026-04-08T05:41:58Z
dc.date.issued2025
dc.description.abstractThis dissertation addresses a long-standing issue in secondary mathematics: students often receive limited practice in geometry due to a strong focus on algebraic skills and theoretical lectures. Geometry, however, requires active engagement, spatial imagination, and the synthesis of multiple theorems, making it vital for developing well-rounded mathematical thinkers. We propose a dual approach: (1) presenting a collection of complex geometry problems covering various essential theorems and advanced methods, and (2) implementing a Flipped Learning model that transfers theoretical lecture content to video tutorials, thereby reclaiming classroom time for deeper problem-solving activities. Our research involves multiple teachers and student groups, comparing traditional in- struction with Flipped Learning. We measure the outcomes through performance tests, surveys, and teacher observations, paying special attention to how this approach impacts geometry learning and overall satisfaction. By combining innovative pedagogy with rigorously chosen geometry tasks, this study demonstrates how educators can address the typical time constraint problem and enhance students’ comprehension of Euclidean geometry.
dc.identifier.citationZhandos B / Remarkable triangle lines and how to solve complex problems associated with these problems / SDU University / Faculty of Education and Humanities
dc.identifier.urihttps://repository.sdu.edu.kz/handle/123456789/2594
dc.language.isoen
dc.publisherSDU University
dc.subjectFlipped Learning
dc.subjectGeometry Problem-Solving
dc.subjectHigh School Mathematics
dc.titleRemarkable triangle lines and how to solve complex problems associated with these problems
dc.typeThesis

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