The author, a teacher-methodologist of mathematics in the city of Leningrad, in his book defines the path of creative searches leading to success in learning. The tasks he proposed, accompanied by a statement of interesting ways to solve them, exclude a template approach, memorizing ready-made schemes. They are designed to awaken the creative activity of students and are search in nature. The book reveals the "technology" of teacher-class communication, demonstrating various options for teacher organizational activities.