Analysis of Changes in the Main Content Lines in Construction of an Alternative Course of Mathematics Based on Digital Resources

The article analyzes the changes in the teaching of mathematics at school associated with the development of the digital educational environment. The theoretical analysis is accompanied by a discussion of basic examples of changes in the main content course lines, such as the algebraic line, the function-theoretic line, the line of equations and inequalities, the geometric line, the stochastic line, the line of discrete mathematics and theoretical computer science. In the process of constructive analysis, such types of changes are considered as: a shift in emphasis from operational activities to modeling, which is associated with the development of “computational thinking” (computational thinking); the use of digital representations of mathematical concepts for the formation of mental images of mathematical concepts and increasing attention to the operation of mental images; studying the material at various levels of complexity through the use of computer models; study of algorithms that are used in computer mathematics systems; the development of horizontal connections both in the methodological aspect through the increasing role of integrative plots that combine various sections of mathematics and computer science, and in the aspect of general pedagogy through the construction of common information spaces for the interaction of educational communities and the expansion of their participants.