Research And Discussion On Geometry Teaching

Plane geometry is the key point in mathematics teaching in junior middle school. It is also the key to cultivate students’ geometric intuition and reasoning ability. But with the gradual promotion of geometry learning, it is more and more difficult for students to learn. The problem has become more prominent, especially from the first period of the geometric reasoning to the second period of the Proving geometry. At the present, the study on the geometric proof, in all the literature view, more concentrated in theoretical analysis on the testing students’ thinking levels、the knowledge and the ability of geometry proof with the help of the geometric thinking level exams. But there are few solving strategies.There are many kinds of difficulties in learning process of geometric proof for students. And establishing auxiliary graphics to solve problem is the most confusing for them. The important goal of geometry teaching as well as the significance of geometry learning is to help students establish auxiliary graphics rationally and form a complete chain of logic on the basis of the combination of the known conditions and verifying conclusions. Taking some related aspects about congruent triangles in geometry curriculum in junior middle school as the background, this paper analyzes how to make the auxiliary line and discusses the different situations under the condition of the isometric transformation of geometrical figures and the state of the auxiliary line acquired in solving problems in detail. To make students grasp the whole process of structuring graphics easily, this paper studies on the structure...