Dạy học giải các bài toán chủ đề “Cấp số nhân” (Toán 11) nhằm bồi dưỡng năng lực giải quyết vấn đề toán học cho học sinh

Tóm tắt

Mathematical problem-solving competence is one of the five competencies that need to be formed and developed for students, as stipulated in the 2018 General Education Program for Mathematics. "Geometric progression" is the knowledge taught in grade 11 with many practical applications. The study proposes a process for solving problems in teaching the topic "Geometric progression" (Math 11) to foster problem-solving competency for students. The process includes 6 steps: Understanding the problem; Building a mathematical problem; Finding a solution to the problem; Solving the problem with the chosen solution; Considering the reasonableness of the solution and answering the problem; Generalizing the problem. Next, a pedagogical experiment to test the effectiveness of the proposed process was implemented on 43 grade 11 students at Nguyen Khuyen Secondary School - High School, Ho Chi Minh City. Experimental results show that students have many opportunities to develop their competence to solve mathematical problems through specific manifestations. They can apply knowledge about geometric progressions to solve mathematical problems and practical problems.