The article reveals for the first time the main historical stages in the formation of Russian composer’s pedagogy. The contribution of the first Russian conservatories in Saint Petersburg and Moscow to the development of music education is highlighted. A systematic analysis of Russian composition textbooks by M. F. Gnesin, O. A. Evlakhov, E. I. Messner, S. M. Slonimsky is carried out, and comparisons are made with Arnold Schoenberg’s Fundamentals of Musical Composition. The contribution to the education of creative youth made by one of the leading master teachers, Professor of the Moscow Conservatory Evgeny Kirillovich Golubev (1910–1988), a student and follower of N. Ya. Myaskovsky, is considered. Golubev’s recollections from his diary Alogisms are presented, revealing the composer’s aesthetic views and the essence of his pedagogical method. The article analyses the stylistic features of Golubev’s students, including G. Shantyr, T. Nikolaeva, A. Kholminov, A. Eshpai, T. Kuliev, G. Grigoryan, A. Schnittke, A. Isakova, K. Batashov, I. Krasilnikov, A. Golovin, A. Koblyakov, Y. Vorontsov and many others. E. K. Golubev, developing the traditions of his great predecessors — N. A. Rimsky-Korsakov, N. Ya. Myaskovsky, S. I. Taneyev, S. S. Prokofiev and others, created one of the most significant schools of composition in Russia. The traditions of his school are being developed by new generations of musicians.