The Principle of Continuity in Teaching Mathematics to High School Students in the “College-University” System

This article discusses issues related to mathematical education in the modern “college-university” system. The authors considered the violation of the principle of continuity of continuing mathematical education in the “college-university” system as the reason for this problem. The quality of students' mathematical knowledge and the effectiveness of their teaching methods depend on the presentation of educational material, the choice of methods and techniques by teachers that activate students' cognitive activity, and the requirements imposed on students and capable of arousing their interest in mathematics. And we realized that continuity in education is the formation and improvement of the next new material, knowledge, by reusing it with a reminder of the previous material. Continuity is a consistent transition from one stage of education to another while preserving certain aspects of the content, forms and technologies of education and upbringing.