Modern professional education takes into account the didactic potential of disciplines and modern educational technologies while searching, developing and implementing new resources and mechanisms in the process of preparing a competitive creative personality with the need for continuous self-improvement and self-development. Studying and analyzing the multicomponent composition of professional training, researchers note the pedagogical potential of information and communication technologies and mathematical disciplines as well as skills of self-determination, self-organization and reflection in the process of forming professional competence. Thus, the purpose of the article is to study features of forming students’ reflective position while studying mathematics at university by means of information and communication technologies. The leading method is the design of a methodical system for teaching mathematics at university, including didactic tools which contribute to increasing students’ interest to the subject, as well as the development of skills in self-determination, self-organization and self-analysis. As a result of the research, the authors of the article defined the didactic potential of information and communication technologies in the process of forming students’ reflective position while studying mathematics. They pointed out methodical aspects of including various forms of interaction of subjects of the educational process while studying mathematics at university through the use of information and communication technologies. Moreover, the authors developed the method “I am learning myself” in order to form students’ reflective position.