Mathematics education contributes to the formation and development of students' key qualities, general abilities and mathematical abilities. In particular, the ability to solve mathematical problems is one of the core elements of mathematical ability, helping students develop key knowledge and skills and creating opportunities for students to experience and apply practical mathematics. The study proposes some measures to foster students' mathematical problem-solving capacity in teaching the topic "Algebra" (Math 10). Teaching practice shows that the proposed measures are appropriate and feasible, initially contributing to improving the quality of teaching and meeting the goals of educational innovation specified in the General Education Program math pass 2018.