On November 13, 2026, Ramina Tulenbaeva, a lecturer at the Physics and Mathematics Department of the College of International Educational Programs (CIEP), conducted an open practical session on Mathematics for group АЯс9-2-25. The topic of the lesson was Solving Trigonometric Equations. The session began with aphorisms by the great scientist Galileo Galilei, which served as excellent motivation and encouraged students toward scientific and logical thinking. The instructor successfully integrated modern technology by organizing an interactive "brainstorming" session using the LearningApps platform. This format sparked lively interest among the students and allowed for an efficient review of previously covered material. During the lesson, students presented their own projects, demonstrating strong independent research skills. While explaining the new topic, Ms. Tulenbaeva masterfully combined digital tools with practical work on the blackboard. A notable highlight was the reinforcement stage: dividing tasks by difficulty levels ensured an individual approach to each student and created a foundation for objective assessment. The open class was attended by the Head of the Methodological Council of the Physics and Mathematics cycle, U.G. Kozhobekova, along with faculty members A. Arykov, A. Toichueva, and M. Bekieva. At the conclusion of the lesson, a peer discussion was held, during which the instructor’s methodological expertise, clear diction, and strong rapport with the students were particularly commended. In conclusion, it was recognized that the lesson fully achieved its objectives and was conducted at a high professional level, in strict accordance with the curriculum and the academic calendar. 117 07:14 22-04-2026