Digital World, Mathematics, and Education

This paper examines changes in the content and technology of research in mathematics, computer science, and mathematical education determined by the digital transformation of civilization. Human activities and competences in the modern world are characterized in terms of an expanded personality. A characteristic feature here is the need and ability to solve fundamentally new problems, i.e., ones that are “not-known-how-to-solve.” The main types of human mathematical activities are classified. It is shown that, within the framework of school education, mathematics (including computer science) is an area where the task of developing the ability and readiness to solve challenging problems is solved most effectively. The possibilities of optimizing the educational process by using artificial intelligence tools are characterized.