Abstract:Different views of teaching skills determine the different connotation of teaching skills. The by-stander view of teaching skills holds that the teaching skill is a specialized technology characteristic of unidirectivity, objectivity, accuracy and reductibility; while the participant view of teaching skills believes that the teaching skill is a kind of ability which guides and helps students to participate in the construction of knowledge and learning significance, and is thought to be interactive, situational, empirical, creative and progressive. The mathematics curriculum reform shall stick to the participant point of view and insist that the five skills of enlightening and inspiration, interactive dialogue, discovery and innovation, learning method guiding and learning evaluation should become the basic requirement of a course executor