Abstract
The article identifies four categories of goals for studying mathematics at school: mastering theoretical positions at the evidentiary level, mastering algorithms for solving mathematical problems that illustrate the provisions of the theory, using the studied algorithms to solve applied and research problems, using mathematical methods and algorithms for teaching programming. Such a selection makes it possible to substantiate and specify the use of digital technologies in the course of mathematics, as well as to ensure their continuity, including with subsequent higher education courses. The importance of using mobile and cloud technologies and applications in independent (home) work of students in mathematics is emphasized.
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