High school student research activities in conditions of blended learning in mathematics

Digital technologies being actively included in the educational process, require a revision of the usual forms of education. Blended learning is replacing traditional teaching, which allows you to build the learning process in such a way that high school students may independently acquire knowledge or match digital resources and direct work in the classroom. Working with digital resources allows conducting experimental research in order to independently draw conclusions and gain new knowledge, therefore, it becomes relevant to study the features of the organization of research activities of schoolchildren using blended learning models. The purpose of the article is to find the optimal options for organizing the student research activities in mathematics when implementing blended learning technology. The article discusses the features of the implementation of various models of blended learning on the basis of theoretical analysis of scientific and methodological literature and existing teaching practices in order to organize student activities in mathematics. Research results are as follows: the principles of organizing research activities in the process of teaching mathematics in blended learning are highlighted; the possible combinations of student activities at different stages of the research for the main models of blended learning are given, the choice of blended learning models when organizing research activities at different stages of lifelong mathematics education is provided. The results obtained can be used in the practice of mathematics teachers when organizing research activities in mathematics in a blended learning, providing interactive management of student research activities.