Research On Senior Middle School Students' Mathematics Idea Means

Mathematics Idea Means (MIM) is a method for scientific abstraction . It applies mathematical conception, symbol, formula, axiom to analyse volume and structure of the object of study, and judge the result, for having a correct understanding of the changing law of the object of study from the volume and form and their connections. It helps us study the mathematical development. It plays a very important role for the discovery and invention and creation in mathematics. MIM is the spirit of Mathematical knowledge . It is an idea and general method . With it , the students can know the mathematics well , think with mathematics , solve problem , develop ability and intelligence . MIM is the base of students' creativity in future . So , the mathematics education attach more importance to MIM's teaching.The reseach counts MIM's frequency in the books of senior middle school . According to questionaire and examination in 15 classes' students of Shijiazhuang , We draw the conclusion : The teachers attach importance to MIM's teaching , but they couldn't teach deeply . The students couldn't use MIM well ; The grade and school influence more to the students . The sex influence less to the students . MIM's level and mathematics achievement are correlative more notable .Acorrding to the investigation, we put forward some suggestions on MIM of senior middle school students .I. Active the MIM in the course of the exploration.II. Reappear the process of the mathematical knowledge in the course of the mathematics teaching.(i) Show the students the process of thinking in the course of the mathematics teaching.(ii) Teach the students the thinking and mathod of discovery and creation.III. Use "Process Teaching" to strengthen the students' MIM.Though the study only made a investigation in Shijiazhuang, the result reflected the general condition in the big-middle cities of our country. It has some general significances and consult values to us.