The article is devoted to the analysis of the problems of training teachers in the context of designing the results of mastering disciplines at a university, assessing the quality of education, and managing the pedagogical process. It is determined that the design of the results of mastering disciplines in a university is considered as a special type of activity in which its subject (teachers) implements a certain technology (mechanism) for organizing the educational process, developing competencies, personal and professional abilities of students (future specialists) by solving managerial tasks, the acquisition and accumulation of practical experience in professional activities. The experience of the master’s educational program “Project Management in Education” of the Pedagogical Institute for the design of educational results in the process of studying the discipline “Innovative processes in education”; multilevel tasks of a search research nature have been developed, which allow developing master’s skills in synthesizing, analyzing, generalizing factual and theoretical material with the formulation of specific conclusions, establishing causal relationships (reconstructive level); skills to integrate knowledge of various fields, to argue their own point of view (creative level), as well as independence, initiative, ability and inclination to self-education of a future specialist, productive and in demand in the modern labor market.