The article describes the technique developed by the authors to organize classroom lessons and independent work for foreign learners studying in Russian at the Preparatory department of a technical university. At the classroom lessons in Mathematics students worked with five types of tasks: sample tasks; text analysis; micro essay; model task; mastering mathematical symbols. During the independent work in the study of Mathematics, foreign students performed tests and teamwork tasks placed on the platform Moodle. We have carried out the experiments, which showed that the technique of organizing classroom lessons and independent work, developed by the authors, had a positive impact on the level of linguistic competence in Mathematics of foreign students of the Preparatory department

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The article is devoted to the problem of teaching Mathematics to international students at technical universities. The study reveals the main educational difficulties of international learners enrolled in groups with Russian native speakers. The experience of giving lectures with presentations at Tomsk Polytechnic University is described. The study proves that the quality of mathematical education in a non-native language depends on the methods of delivering the lecture. It is found that delivering lectures in Mathematics with presentation slides enables international students to overcome educational difficulties