In this publication, we pay attention to the problems of learning mathematics in the context of the implementation of the concept of the New Ukrainian School. During preparation for publication, the following work was done. Conversations with mathematics teachers and their questionnaires were conducted. A survey of students was conducted. Sources of information in terms of informing teachers about the implementation of the concept of the New Ukrainian School and methods of teaching mathematics at the National University of Ukraine were analyzed. A comparative analysis of educational achievements of seventh-grade students who studied in experimental and control classes was made. The tasks of the final exams of high school students abroad and our graduates were analyzed.