The article discusses issues related to the use of information technology in teaching the subject "Theory of algorithms", highlights some of the features of teaching this academic discipline. The factors that contribute to the effective assimilation of educational material on this subject have been formulated. The main aspects and goals of the methodology for using in the educational process the program-methodological complex developed in support of the subject "Theory of algorithms" are given. The article describes the results of a pedagogical experiment within the framework of a study on the teaching methodology of the subject "Theory of algorithms" using a program-methodological complex.