The introduction of “Characters-Centered Teaching” was instrumental in promoting the understanding of TCFL (Teaching Chinese as a Foreign Language) strategies. However, what “CharactersCentered Teaching” emphasizes should be focusing on single characters in vocabulary teaching without ignoring or even rejecting the teaching of Chinese words. The existence of a large number of single morpheme words, uncertainty of character meaning and the cognition of Chinese words all make the teaching of Chinese words indispensable to vocabulary teaching. In view of cognition characteristics of adult students, the teaching of Chinese characters should comprise two levels of analytical teaching: analysis of internal structural of compound words and analysis of internal structural of morpheme words.