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The application of Mastery Learning in Olympiad mentoring at Darussalam Islamic Junior High School was carried out using a classroom action research model involving 20 students from grades 8 and 9. The mentoring process followed a cyclical structure consisting of planning, action, observation, and reflection, supported by observation techniques, tests, and documentation. The implementation of the mastery learning model effectively improved students’ mathematics learning outcomes, as shown by a significant increase in mastery levels: 65% before the intervention, 75% after the first cycle, and 90% after the second cycle. In addition, the average learning score rose from 71 in the first cycle to 87 in the second cycle, reflecting substantial progress in understanding and problem-solving abilities. These results indicate that Mastery Learning not only enhances students’ mathematics performance but also strengthens their readiness and confidence to compete in the National OSN competition, demonstrating the model’s positive contribution to academic achievement and Olympiad preparation.

This study investigates the impact of GeoGebra-assisted collaborative learning on students' understanding of function graphs. Function graphs are fundamental in mathematics education, yet many students struggle to grasp the relationships between variables, primarily due to traditional teaching methods that focus on procedural skills rather than conceptual understanding. To address this challenge, the study incorporates GeoGebra, a dynamic mathematics software, alongside collaborative learning strategies. The research utilizes a quasi-experimental design involving high school students who had previously struggled with function graphs. The results demonstrate that the experimental group, which engaged in GeoGebra-assisted collaborative learning, showed a significant improvement of 27% in their post-test scores, compared to just a 6% improvement in the control group using traditional methods. The study highlights the effectiveness of GeoGebra in fostering a deeper conceptual understanding of mathematical functions by enabling students to visualize and manipulate graphs interactively. Additionally, collaborative learning encouraged peer interaction, reinforcing the learning process and promoting better problem-solving skills. The findings suggest that combining interactive tools like GeoGebra with collaborative learning techniques can enhance students’ mathematical comprehension, leading to improved engagement and performance in mathematics education.