This paper explores innovative, interactive, and student-centered pedagogical methodologies for teaching systems of linear equations in secondary schools. While traditional mathematics education often emphasizes rote memorization of algebraic manipulation algorithms, it frequently fails to foster deep conceptual understanding or practical application skills among students. To address these didactic limitations, this study systematically develops and scientifically evaluates a multi-dimensional framework that integrates Contextual Problem-Based Learning (PBL), dynamic visualization via GeoGebra software, gamified cooperative environments (mathematical escape rooms), and introductory matrix methodologies. Employing a mixed-methods research design with 8th-grade control and experimental groups, the empirical findings demonstrate that these innovative strategies not only enhance conceptual comprehension scores by 26% and real-world modeling capabilities by 39%, but also significantly increase long-term knowledge retention and student intrinsic motivation while reducing mathematical anxiety. Ultimately, this study provides a practical methodological guide for mathematics educators and contributes to the modernization of algebra didactics in secondary STEM education.
Effective and Interesting Methods of Teaching Systems of Linear Equations in School
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