Abstract
Cross-cultural communication in the context of competence and educational system is the major focus in this project. The paper concerns the issue of cross-cultural communication in the sphere of university education in the EL classroom. Special attention is given to the problems of innovation potential of different methods and models for the formation of cross-cultural competency. The article concentrates on developing cross-cultural awareness that students of non-linguistic higher schools should have knowledge in order to effectively communicate with other people. This awareness can be developed by means of particular didactic organization of a foreign language teaching process. Some methods and models aimed at students’ adopting peculiarities of foreign non-linguistic reality are considered here. Moreover, the author argues that there is a necessity to pay extra attention to the parameters of shaping cross-cultural competence. It is claimed that intercultural sensitizer (culture assimilator) is one of the most adequate and efficient techniques in enhancing cross-cultural competence in the process of training. Keywords: Cross-cultural competence; innovative potential; methods and models of teaching; didactic organization