In The Graphics And Geometry Teaching, Training Junior High School Students' Geometric Intuitive Teaching Research

The status of geometry and algebra in mathematics learning is comparative.Geometry is required in many aspects of life.Interest and the way of geometry,has a great impact on their future.Geometric intuition and spatial concept are the embodiment and foundation of intuitive imagination in the core accomplishment of mathematics discipline.How to cultivate their geometric intuition and then cultivate their creative thinking is a problem worth thinking about for teachers.The new curriculum standard of compulsory education points out that student should be able to establish the concept of space and develop geometric directness through a series of learning activities such as inquiry operation.In the primary school stage,students have a preliminary understanding and study of geometry,but the development of their intelligence and thinking in the primary school stage is not mature enough,and there are still difficulties in the ability to accept abstract things.Therefore,it is very important to cultivate the ability and thinking of the students in junior high school.The thinking of this stage will form the basic pattern,which is closely related to the future study and work.Cultivating the geometric intuitive ability of junior high school students is also to lay a good foundation for the further study of three-dimensional geometry and university related knowledge in the future.The subjects selected were the eighth grade students in the internship school.In this stage students go through the transition period from primary school to junior high school.They fit in the learning style of junior high school,and there is no high school entrance pressure.The paper adopts literature method,interview method and case analysis method.Based on Piaget constructivism learning theory and Osobel meaningful learning theory,this paper analyzes the interview results,obtains the training methods and influencing factors of geometry intuitionism,analyzes two cases of Axial symmetry and The Pythagorean theorem.And then the training strategy of geometric intuition is proposed.The research shows that the cultivation of their ability to understand,draw and use is the key to the development of geometric intuition ability.Drawing is not only the basis of cultivating geometric intuition,but also the first step of starting thinking.Drawing is carried out on the basis of understanding drawing,but also the central link of cultivating geometric intuitionism;thinking of drawing is carried out on the basis of recognition and drawing,and thinking of drawing is also the goal of cultivating geometric intuition,including the improvement of geometric intuitionistic literacy,the exercise of divergent thinking and the formation of creative thinking.Through interviews and analysis with students and teachers on the existing problems and teaching methods in geometric intuitionistic training,three strategies for cultivating junior high school their geometric intuitionistic ability are obtained.Including:(1)constructing rich intuitive representation:The visual model is used to construct the mathematical representation,and familiar with the scene into the reconstruction of mathematical representation(2)improving mathematical model consciousness:Encourage bold associations,intuitive representation problem,using the induction of the basic model to exercise the drawing consciousness(3)Cultivate visual imagination:combined with the concept of space to cultivate their geometric intuition,setting up a series of causal questions to train their divergent thinking.Finally,through observation,teaching and research and front-line teachers learning,further suggestions and shortcomings are put forward.