The focus of this article is on the modernization of methodological systems for teaching mathematical disciplines studied by students in IT areas. The possibilities of the GeoGebra tool are revealed, which are important for improving the quality of mathematical training of future IT specialists in the context of the implementation of the didactic principle of visibility and the inclusion of students in research and project activities. The modular content of the discipline of the students' choice of the GeoGebra Instrumental Methods is presented. It was developed based on the technological procedures for designing the learning content and makes it possible to reuse the computational and graphic capabilities of GeoGebra in the practice of tea...