Abstract: The article is devoted to one of the urgent problems of modern mathematical education: the formation of educational and research skills of students in the process of solving problems in the subject area “Mathematics”. The levels of formation of educational and research skills of students are described, based on a set of criteria identified by N.A. Menshikova. It is shown that for the formation of educational and research skills of students it is advisable to use blocks of interrelated educational and research tasks that allow students with a low level of formation of educational institutions to participate in solving problems of a higher level of complexity.