Research On High School Solid Geometry Teaching Strategy Based On Van Hill Theory

olid geometry is an important content of high school mathematics,and it is an important carrier to cultivate students’ geometric thinking,spatial imagination and logical reasoning ability,and to improve students’ core literacy.With the implementation of "General High School Mathematics Curriculum Standard"(2017 edition 2020 revision)(hereinafter referred to as the new curriculum standard),the requirements of high school solid geometry teaching have changed,enhancing the awareness of using geometric intuition and spatial imagination to think about problems,and enabling students to experience the process of cognition and exploration of solid geometry knowledge.Then develop students’ geometric intuition and spatial imagination ability.Therefore,it is very necessary to carry out research on the topic selection of high school solid geometry teaching strategy.In this paper,through a questionnaire survey of high school students and teachers and interviews with famous teachers,we understand the current situation of high school solid geometry teaching,and analyze the problems in high school solid geometry teaching and the causes of the problems.On this basis,using Van Hill theory to put forward the high school solid geometry teaching strategy,and design the high school solid geometry teaching cases according to the five teaching stages of Van Hill theory,which has a certain guiding role in high school solid geometry teaching.The conclusions are as follows:(1)The difficulties in learning solid geometry of senior high school students mainly lie in the difficulty in recognizing,drawing and using diagrams,the difficulty in understanding and using property theorems,the lack of ideas in logical reasoning questions and the difficulty in finding a breakthrough.(2)The main reasons for these problems: the knowledge of solid geometry is too abstract,the students’ three-dimensional sense is not strong,spatial imagination and logical reasoning ability is not enough.Students lack of thinking in their daily solid geometry learning,and lack of in-depth understanding of the properties of solid geometry they have learned and the conditions for the establishment of judgment theorems.(3)High school solid geometry teaching strategy: pay attention to preschool consultation,understand the geometric thinking level of students;Strengthen guidance orientation,clear the direction of students forward;Focus on the clarification stage to improve students’ geometric learning ability;Free orientation activities,play the main role of students in learning;Pay attention to integrate knowledge and help students construct knowledge system.