In this article, I discuss what it means to teach the polite use of the language with the polite morphemes of "desu" and "masu" in Japanese. First, I deal with the problem of using "informal language" to people we meet for the first time, followed by the use of "desu" and "masu" contained in the "polite language." Also, I point out the fact that our students, even at a fairly advanced level of learning, lack sufficient undersanding of the importance of using "desu/masu" forms. As an attempt to solve this problem, I propose a tentative plan of teaching, followed by my suggestion as to the order in which these sentence-final styles are to be introduced in teaching. In conclusion, I make a point that, in teaching politeness expressions, it is crucially important for us to make all learners of Japanese realize once and for all the fact that the use of the polite morphemes of "desu" and "masu" contained in the polite language represents the underlying consciousness of the speaker to pay "respect" and be "polite" to the listener with full consideration of his or her position in society and the situation at the moment.