Grigorii Vorobev

The article analyzes some issues of the integration of mathematics and computer science (programming) within the framework of specialized session limited time. The relevance of the considered problem of mathematics and computer science integration in the context of the Olympiad training of schoolchildren in the context of specialized sessions is justified, first of all, by the fact that the subject content of the two courses under consideration often permeates each other, especially if we mean some overlapping sections – discrete mathematics, combinatorial analysis, algorithms theory, number theory, graph theory. In this connection, the success of mastering any of these subjects often correlates with good academic results in another area. The practice shows that there is often a parallel study of mathematics and computer science, simultaneous participation in Olympiads in both subjects. The traditional training system that has developed in some recognized centers for Olympiad training is not always aimed at a close and thoughtful integration of these subjects. The article proposes a formal generalized model of the competence training system within the educational program “Mathematics. Data Analysis ". The structure of the educational program «Mathematics. Data Analysis» includes three modules: «Olympiad Mathematics. Application", "Workshop on Solving Olympiad Tasks", "Special Courses in Programming and Olympiad Mathematics". The theoretical significance of the article lies in the proposed formal generalized model of the system of competence training within the educational program “Mathematics. Data analysis”, which can also be used in programs of a similar orientation, implementing interdisciplinary communications, primarily in mathematics and computer science, with an emphasis on the application of the acquired competences in the digital economy. The practical significance of the research is the presentation and analysis of the relationship between the subjects of classes and the modules of the program, examples of practical tasks that implement this relationship.