On December 6, 2019, an open lecture of Associate Professor of the Department of Mathematics and Teaching Methods K. V. Niedialkova on the topic "Methods of teaching students of theorem proofs". Students of the 3rd year of the Faculty of Physics and Mathematics were acquainted with topical issues of teaching students the proofs of mathematical statements in the context of problematic learning using interactive and information technologies. The present teachers of the department noted that the lecture of K. V. Niedialkova was sufficiently meaningful, elaborate, with clearly laid out material with the necessary clarity.