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Relevance of this article is determined by necessity to comprehend and develop new forms of educational process in the context of cognitive revolution that is currently taking place in the field of information and cognitive processes. Object of the article is to reveal the most important forms of educational activities in the system of post-secondary education allowing for competent knowledge management both by students and their instructors. The authors rely on such research approaches as explication, comparison, etymological analysis. Studies of transformation of objectives and content of tertiary education in the context of transition to information society lead to the conclusion about priorities of student initiative and independence as the most important factors in the tertiary education system. It is assumed that the instructor shall empathically put themselves into the student's position to form the experience necessary to be given as an example for organization of educational process and raising efficiency of such process.