Abstract
The problem of learning and cognitive activity is a leading on in the education now. This article considers the management of students learning and cognitive activity in out of auditorium time. It is observed as complex system which needs its solution. The aim of research was formulated on the deep analyses of prominent scientists work and out own investigation. Such concepts as activity, learning and cognitive students activity, aim, motive, organizing, control, planning, students self – preparation work were observed and analyzed in this work. Using system and structural approach to the students learning and cognitive in out of auditorium time we proposed the ways to enhance the learning students activity by application of active learning technology. We came to the conclusion that it may be managed by efficient organized and planned self – guided students work on base of technological model. Technological model was formed on methods of algorithms in education.