The article summarizes material on the theory and practice of designing the content of the course "Information Subject-Oriented Educational Environments". A design scheme, design activity samples (individual educational trajectories, transformation of content into a task material) are presented. The author covers the problem of considering the teacher's professional standard when designing the content of the academic discipline.

The article deals with the issues of teaching physics and mathematics to foreign students at Russian universities. The specific features of teaching the notions of physics and mathematics to foreign students are described in the article. Following the research results regarding the specific features of teaching physics and mathematics at Russian universities, the authors propose a variety of language methods and teaching techniques that help to overcome the language, communicative and behavioural barriers.

The article deals with the theory and practice of designing the cycles of computing disciplines for various specialities in the field “Economics and Management”: landmark techniques, samples of the design activities, the results of experimental work. The author represents the cycle of computing disciplines, the contents of all the subjects of the cycle and the projects of individual educational trajectories of mastering the learning contents.

The article deals with the theory and practice of development of communicative skills of students of teacher training universities: the resources, context and learning tasks are represented. The necessity to study media and Internet technologies as the basis of computer communication is proved. The course “The Internet and multimedia technologies in cultural and educational activities” and the individual educational trajectories are projected in the article.

The article deals with the theory and practice of mixed education in mathematics in secondary school. The elements of mixed education are under consideration: goals, models, stages and means. The author’s methods of mixed education in financial mathematics of 10-11 form students are represented. The example of organization of mixed education within the elective course “fundamentals of financial mathematics” which was tested in educational institutions of Volgograd is given in the article.