Wonderful points and lines of a triangle in a school math course

The article presents brief results on the issue of the problem of finding innovative ways to improve the teaching of certain topics of the school mathematics course using the example of an approach to deepening educational material about triangles. New aspects of information presentation are presented with the inclusion of practical examples and generalizations. In conditions of an abundance of information, a mathematics teacher needs to be able to creatively approach the choice of the main content of education and the way to maintain students' cognitive activity when studying ordinary topics. A generalizing approach to the study of wonderful points and lines of a triangle is proposed.