Teaching Research Of Conic Sections Problem Solving In Senior High School Based On Polya's Problem Solving Thought

Plane analytic geometry has always been the focus and difficulty in college entrance examination mathematics,and conic sections is the most important one.Senior three students often spend a lot of time and energy in preparing for the conic sections,but they often have little or no effect.In this context,it has important theoretical and practical significance for the research of conic sections problem solving teaching.In this paper,literature research,questionnaire survey and experimental research are used to explore the theoretical and practical research goal of the teaching of conic sections problem solving based on Polya's problem solving thought.First of all,the paper summarizes the current situation of conic sections teaching in senior high school and Polya's problem solving thought and its application,which provides the theoretical basis for the research;secondly,through the investigation,it understands the actual situation of students when they solve the conic sections problem;then,according to the investigation results,it combines Polya's problem solving thought,puts forward the teaching strategies of conic sections problem solving and gives the teaching cases;Finally,through the contrast experiment to study the practical effect of applying Polya's problem solving thought to the teaching of conic sections problem solving.The main conclusions of the study include:(1)Although many students have not heard of Polya and his problem solving thought,they will spontaneously use some Polya's problem solving thought when solving conic sections problem;(2)Contrary to Polya's problem solving thought,most students do a good job in understanding the problem phase and formulating the plan phase when solving the conic sections problem,but they do not well in the implementation plan phase and the review and reflection phase;(3)Experimental research has proved that the integration of Polya's problem solving thought into high school conic sections problem solving teaching can obviously promote the improvement of the ability of middle-level students to solve conic sections problem.