From edition. On April 25, 2012 85 years to Yury Mikhaylovich Kolyagin, the academician of the Russian joint stock company, the deserved teacher of the Russian Federation, the honored worker of a science of the Russian Federation, the doctor of pedagogical sciences, the professor were executed. We publish in this number (with insignificant notes) a fragment from its book «Road of Life, science steps. Memoirs» (prod. the 2nd, испр.; Eagle: Regional public institution, 2011). In it participation of the author in one of sign events of history of the Soviet school – reform and counterreform of mathematical formation of the last third of the XX century is described.