An important methodological technique for involving students in active mental activity is the creation and resolution of problem situations. The article presents fragments of a lesson in repetition of mathematical material, in which the resolution of problem situations that arose when solving problems of increased difficulty, in most cases, occurred in the course of a heuristic conversation. Summing up the results of the geometry lesson, conducted by the author at the Novosibirsk Physics and Mathematics Lyceum No. 185 in the ninth specialized class, it was noted that heuristic conversation, being a component of problem solving learning, contributed to a deeper understanding of mathematical material as the main goal of problem solving learning. Keywords: a problem situation; heuristic conversation; a mathematical problem.