Abstract
The article describes some problems of the theory and methodology of teaching geometry in the secondary school, which are performed with the active use of independent work. Here you can find examples of how planimetry and stereometry are considered and how they are compared in elective classes. When studying the systematic course of geometry, the methods of mastering new concepts, patterns, and dependencies that form the creative activity of students are considered. The article shows that comparative training based on questions and advices is carried out at the stages of "acceptance" of the problem, search for solutions, reflexive processing of the obtained solution, as well as further generalization and development of the original problem situation.