SOLVING PROBLEMS OF INCREASED DIFFICULTY IN A SECONDARY SCHOOL MATHEMATICS COURSE

Abstract

The article examines features of teaching solving problems of increased difficulty in a school mathematics course, in particular during extracurricular activities at a mathematics club. When teaching mathematics, problem solving plays an important role, especially complex problems. Complex tasks require the student not only to know formulae and algorithms, but also to be able to analyze and build logical connections between various concepts. By solving such problems, the student masters the skill of finding solutions to non-standard situations and finds creative approaches to solving problems. Problems of increased complexity are a necessary and important element of teaching mathematics. By completing these activities, children can learn to confidently make decisions in situations with ambiguous answers, while sharpening their attention skills. These tasks also require collecting and analyzing information, identifying patterns and relationships, and proposing alternative solutions. The methodological developments for studying this issue presented in the article were implemented in a specific educational process at a mathematics club at Secondary School No. 48 of Orenburg and allowed students to increase their level of knowledge in mathematics.