Abstract:
The article examines the reasons why mathematical schools (mathschools) have become an important and very productive phenomenon in Russian education in recent decades. A brief description of the modern model of productive education traced back to the established tradition of teaching in mathschools, which can lead to the construction of a reproducible model of productive education not only for specialized teaching of mathematics, but also for other areas of Russian general education.
Keywords:the tradition of mathschools and mathclasses, the Konstantinov School, school mathematics education in Russia, productive education, solving unexpected problems, recreational mathematics, mathematical circle, mathematical Olympiad, university students as teachers, level differentiation, learning and research activity of students, digital transformation of education.