USING PROBLEM METHODS IN SOLVING MATHEMATICAL PROBLEMS AND EXAMPLES

This article discusses the use of problematic methods in solving mathematical problems and examples. Problem-based methods are one of the approaches used to study problems that cannot be solved by standard methods or that create certain difficulties. The article analyzes the basic principles, types and features of these methods. The article analyzes the basic principles, types and features of these methods. The authors emphasize the use of approximate, interactive and empirical methods in the process of solving mathematical problems and examples. In addition, the effectiveness and efficiency of problem-based methods are demonstrated through practical examples. The possibilities of using these methods in mathematical and engineering projects, as well as in economics and natural sciences, are considered. The final part provides recommendations for the development of problem-based methods and their application in in-depth research.