Remarkable triangle lines and how to solve complex problems associated with these problems
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Date
2025
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Publisher
SDU University
Abstract
This 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.
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Keywords
Flipped Learning, Geometry Problem-Solving, High School Mathematics
Citation
Zhandos B / Remarkable triangle lines and how to solve complex problems associated with these problems / SDU University / Faculty of Education and Humanities