Basing mainly on Schmidt & Biallystok research achievements ,this paper, from cognitive point of view, compares native children and adult second language learners in pragmatic competence acquistion,and tries to discuss problems in pragmatic competence of students in the junior stages at college, and some teaching methods solving these problems according to specific acquisition orders.

Therefore, the teaching of vocabulary plays an important role in language teaching, especially in the junior stages.

This paper briefly analyses the existing problems of appropriateness in cross cultural communication among the students in the junior stages at college.

Some teaching methods of Intensive English course during elementary stage of English major are summarized here when the characteristics of the course, the requirements of the syllabus to the course, corresponding teaching methods and theoretic basis are taken into account.

Understanding English majors of Five - Year College and their problems in English listening (through questionaire and test), the author put forward that we should cultivate the students listening skills from the following aspects in elementary stage i.

In view of the existing problem,the writer,from the angle of teaching methods,put forward the counter-measures——enhancing the training of basic English skills,supplementing the background knowledge on culture,optimizing mental environment and so on,which is beneficial to strengthening the listening teaching at elementary stage.