Abstract
The article deals with the problem of preparing a future mathematics teacher for professional activity in the conditions of digitalization. The requirements for the mathematical training of a future teacher are highlighted and one of the ways to improve mathematical and methodological competencies is proposed. The main idea of the article is to analyze and describe the experience of solving the problems of filling the content of online courses to involve students in an independent research search, the experience of correlation of methods of organizing the educational process in the conditions of offline and online student learning. The author, based on the analysis of the content of methodological knowledge in mathematics and mathematical knowledge proper, reveals the content and essence of the methodological component in the professional activity of a future mathematics teacher. The purpose of the article is to determine the strategies of organizing a course in which future mathematics teachers receive not only mathematical, but also methodological training using different.
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