| The mathematics learning in grade one of senior high school is a connecting link between the preceding and the following which occupy an important position in the mathematics learning of senior high school. When just entering senior high school, large amount of students would start feeling quite unadaptable to studying especially to mathematics. The bad link-up of mathematic knowledge and learning method between junior and senior high school plays is quite responsible for this phenomenon.On the basis of literature review, this paper pay attention to the practice research of link-up mathematics teaching between junior and senior high school and comparative research through teaching case in order to analysis how to deal with the link-up problem between junior and senior high school in the design of teaching activity and teaching strategy which is in accordance with the stage characteristics of physical and mental development, the theory of the zone of proximal development and cognitive structure migration theory.The research finds that comparing with the traditional teaching method, the link-up teaching method has evident advantages in teaching effectiveness which are embodied as follows:In the first place, the link-up teaching method can inspire the students’initiative and increase interest in mathematics learning so that students at any level are willing to take part in the class teaching and feel the happiness of success. Secretary, students can follow the teacher, easily learn and free from the puzzle of the mathematic knowledge. Tertiary, the students are able to fully understand the context of the mathematics knowledge as well as the development process of mathematics concepts and experience the essential attribute of the concepts and thinking methods behind them. Most important of all, the link-up teaching method can help students to comprehend the initial and essential connection of mathematics knowledge in order to set up a perfect cognitive structure in mathematics learning, it also contribute to improve students’ mathematical ability and mathematical literacy.If we want to do better in the mathematical link-up teaching of senior grade one, we should do the followings:Firstly, owing to the cognitive structure migration theory, we should arrange the contents of the mathematical course reasonably, if necessary, we can add some disconnected knowledge of high school and take advantage of the knowledge and methods with which the students are familiar for the sake of the concept understanding so that we can accelerate the articulated knowledge of senior grade one students. Secondly, based on the zone of proximal development, we should choose the proper teaching method, attach important to the forming process, the display of though and permeate of thinking method in order to promote the link-up of students’ thinking ability. We should seize the psychological characteristics of senior grade one students, set up harmonious teacher-students relationship and lay emphasis on cultivation of no intelligence factor in order to promote the mentality link-up of students. |