As one of the earliest subjects in the world, geometry has a very long history. The variety of the geometric characters makes it more varied than any other part of mathematics, even though mathematics is the most unvaried subject in elementary teaching. Thus, geometry teaching is worth careful planning. As it is pointed out in the Mathematics Curriculum Standards (2001Version), it is necessary to develop students’number sense, consciousness of symbol, spatial concept, geometric intuition, the concept of data analysis, arithmetic ability, reasoning ability and mathematical model thinking. Geometry plays an important role in improving students’mathematic thinking qualities.This paper conducts a survey with the guidance of Zone of Proximal Development theory, Scaffolding Instruction Theory, Constructivism and Variant Teaching,. It aims to find out the present situation of students and teaching in junior high school, as well as the characters of Guangzhou Senior High School Entrance Test in the past three years. The research focuses on students’learning style, characters of thinking, the difficulties in students’ geometry learning, geometry thinking level, the characters of geometric proofs and students’behaviors in solving them. Based on literature research together with teaching experience, this paper carries out variant teaching, scaffolding instruction and geometric intuition teaching in order to develop students’geometric proving abilities. Applying two types of concept maps to optimize students’knowledge structure and layered guidance are the outstanding part of this paper. |