Abstract: In the article discusses some approaches to the problem of pedagogical design of educational activities of students taking into account their individual characteristics. Features of the design of individual educational routes in mathematics are revealed.

Abstract: Digitalization of the Russian economy requires appropriate changes in the system of education and training. Transformations in the system of secondary education should begin in the subject area «Mathematics and informatics». The paper shows the experience of training and participation of school students in the sections of mathematics, informatics, bioinformatics of scientific conferences.

Abstract: Heuristic techniques permeate the entire process of teaching mathematics and computer science, their application is relevant at any stage of the educational process, when solving any type of tasks. The teacher needs knowledge of heuristics in order to help students discover them in their own activities, understand the essence of methods and learn how to use them.