| The present pervasive problems of mathematical teaching quality in the secondary vocational school mainly lie in two aspects-low qualities of the students and old-fashioned teaching methods, with the rush of the students to enter senior high school mounting. There has been formed consensus that the qualities of secondary vocational school students are increasingly low. In order to alter this worsening situation and to improve teaching quality, the steps should be quickened to reform the teaching methods. This graduation thesis, which is based on the problems the students face, put forward some methodology relevant to link-up of new mathematical teaching.New Practice of Mathematical Teaching Link-up, which proceeds from the realities among the students, is mainly absorbed in studying the process and integrity of relevant mathematical development, with an attempt to adapt the new students to unfamiliar environment. It is achieved through the research on the students, adopted textbooks, and teaching methods. New Practice of Mathematical Teaching Link-up, under the guidance of "Zone of Proximal Development" theory put forward by Vygotsky, one of the world-known former Soviet educators, and the theory of Construstionism, is in conformity with the rising spirit of New Course Reform.With the norm that practice is the sole criterion for judgment in truth, this thesis analyzes the theory of link-up teaching. After carrying out Moderate Criterion Devise in the experiments of mathematical teaching, the author make amazing discovery that two classes with the same lever pre-experiment turn out to be no striking difference pro-experiment...Accordingly, the two different lever classes pre-experiment have no marked difference or they minimize the difference pro-experiment. All these indicate the freshmen in the secondary vocational school, after introduction of link-up theory into teaching, can make an relatively apparent progress in mathematical learning.
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