The relevance of the study is conditioned by the fact that at the present time, due to the changes in political, social and economic spheres of Russian society, special demands are required for a future expert, a graduate of a higher school. Most scholars are inclined to believe that modern society requires the rethinking of higher education development concepts, the provision of the focus on a competent combination of education, research and an individual upbringing process. Upbringing work at the university has repeatedly been the subject of pedagogical research, but at the same time, the problems related to the specifics of student upbringing achievement to the level of aspiration for self-education through the use of modern educational technologies remain insufficiently studied. The article clarifies the concepts of "self-education", "tutor support" within the paradigm of education by creating the conditions for the self-actualization of an individual, humanization and democratization of the teacher's and trainees' relations learning among themselves; they describe the stages of experimental work on the implementation of the Pedagogical Support Program for students in order to introduce them to self-education. The following methods were used in the study: theoretical methods (the analysis of psychological, pedagogical literature, mass study and generalization of advanced pedagogical experience, pedagogical modeling) and empirical methods (pedagogical observation, conversation, questioning, interviewing and testing). The obtained materials of the study can be of interest both for educators of higher educational institutions, and for the experts in secondary vocational education and the teachers of educational centers.