Sherstnyova А.I. 1
Yanushchik О.V. 1
Pahomova Е.G. 1
1 National Research Tomsk Polytechnic University
This article explores the concepts of competence and expertise and their place in the educational process, stands subject competence as one of the indicators of education of foreign students. Revealed the need to develop innovative methods of teaching, learning and assessment, which are aimed at improving the quality of training through the development of students enrolled in foreign language, creativity and self-reliance. A method of analogy in the teaching of mathematics as one of the most effective ways of competence of foreign studentsis considered. The advisability of using analogy of application by the example of algebra and geometry is studied,an analogy between geometric figures and systems of linear inequalities is established.The findings from our research illustrate, that the use of analogy of application can increase interest in the study of mathematicsand increase subject competence of foreign students.