Requirements to formulation and problem solving of educational and research problems aimed at teacher training college students during blended learning in mathematics

Statement of the problem. A fairly large number of requirements are presented to a graduate of a teacher training college. One of them is competence in information technology (hereinafter IT). This should be taught to students not only during computer science lessons, but also in the disciplines of the general education cycle, such as mathematics. Insufficient development of the methodology for using IT in mathematics lessons, some shortcomings in the use of digital technologies complicate the implementation of IT in the educational process. This article considers the role of IT in solving educational and research problems in mathematics; reveals the advantages and disadvantages of blended learning; the ways of eliminating these shortcomings with the help of the methodology for solving educational and research problems are outlined; the requirements to the formulation of educational and research tasks, which would contribute to the formation of skills in the use of IT, have been determined. The purpose of the article is to formulate the requirements to the formulation of an educational and research problem during blended learning in Mathematics among students of teacher training colleges. The research methodology consists of the analysis and systematization of documents in the field of secondary vocational education, research works on this topic, and the author’s own experience in teaching mathematics to students of a teacher training college. Research results. In the course of the analysis, the following results are presented: - the role of IT in solving educational and research problems in mathematics is determined; - the advantages and disadvantages of blended learning are revealed; - ways to eliminate the shortcomings of blended learning using the methodology for solving educational and research problems are outlined; - the requirements for the formulation of educational and research tasks, which would contribute to the formation of skills in the use of IT, are determined. Conclusion. The analysis carried out in the course of the study made it possible to formulate the requirements to the formulation of educational and research problems during blended learning in Mathematics among students of teacher training colleges.