The article is dedicated to topical problem of teaching mathematics to foreign enrollees of preliminary courses. The article displays the drawbacks of traditional approach of full time education. They prove the necessity of enhancement of efficiency of teaching foreign enrollees. The research of scientific literature upon the issue has revealed the way to increase the effectiveness of teaching foreign enrollees – to optimize teaching methods. It is possible to optimize teaching of foreign enrollees by mixing types of education: full time education and education by correspondence. It fully satisfies the criteria of effectiveness.