The Practice And Research Of Students "Exercise Introduction" In Secondary School Mathematics

The new curriculum standard point out that one of the important tasks of secondary school mathematics teaching is training the students’ mathematical thinking ability. The purpose students "exercise introduction" is to mobilize enthusiasm, outstand subject status and improve thinking ability. At present, the studies of it are still in the initial stage and haven’t formed a system theory.On the basis of the secondary school students’thinking characteristics, the dialectical relationship between language and thinking, the constructivism theory and Polya’s problem solving theory, in accordance with the thinking process of math problems solving, we put forward the process of "exercise introduction":"problem introduction""breakthrough introduction"-"thinking introduction"-"solution introduction""reflection introduction". In practice, we usually choose the content selectively, because the emphases of "exercise introduction" are different due to the differences in topics. It means,"exercise introduction" can be a part of activity that combined with the daily teaching. A case of "exercise introduction" can be composed of three parts:the instructional design of "exercise introduction"(preparation), the memoir of "exercise introduction"(activity) and the analysis of "exercise introduction"(reflection). In preparation, teacher choose exercise problem, select students, write the instructional design; the memoir of "exercise introduction" is in the form of dialogue between teacher and students that presented the process of it; after class, teacher analysis and reflects the cultivation of students’thinking ability or the satisfaction and shortage in the activity.After a semester of practice, the atmosphere of class and the enthusiasm of students participate in class has improved; students’ability of express, analysis, problem solving proved; teacher also free from teaching blindly. A questionnaire survey shows that most students are interested in the activity and can participate actively. Students "exercise introduction" has changed their learning methods, and played a promoting role in culturing their selves-confidence, thinking and language expression ability.