Mathematical Thought Method In Analytic Geometry Knowledge In High School Teaching Strategy Research

With the publication of?General high school mathematics curriculum standards?(The 2017 version),We can find that the current mathematics education is not only about the cultivation of students' knowledge and skills,but also about the cultivation of their core qualities,That is to say,in the teaching process,teachers should focus on how to guide students to observe the world with mathematical vision,think about the world with mathematical thinking,and express the world with mathematical language.As the soul and essence of mathematics,mathematical thinking method can enlighten students' thinking,help students to truly learn to think and solve problems with mathematics,and comprehend the true meaning of mathematics.Analytic geometry knowledge not only plays a very important role in high school mathematics,but also is one of the key points and hot spots in the college entrance examination.There are abundant mathematical thinking methods in analytic geometry,which run through the whole knowledge structure and dominate the whole.That is to say: exploring the application of mathematical thought and method in analytic geometry knowledge has important practical significance,and plays an immeasurable role in cultivating students' mathematical ability and quality.Therefore,on the basis of summarizing and summarizing the previous research contents,Firstly,the theoretical basis of the teaching of mathematical thinking methods and analytic geometry is sorted out and analyzed to explore the mathematical thinking methods contained in the high school analytic geometry knowledge;Secondly,teachers' interview questionnaire,students' questionnaire and test paper were used.To master the current situation of the application of mathematical thought and method in the teaching of analytic geometry and the students' mastering situation,which will pave the way for the follow-up research;Finally,the following four feasible strategies are proposed to solve the existing problems :(1)drive teaching with the help of mathematical culture and infiltrate mathematical thinking and methods;(2)experience the mathematicalthinking and methods in the transformation of algebra and geometry;(3)review with mind map and refine mathematical thinking methods;(4)consolidate mathematical thinking and methods in problem exploration.It is hoped to provide useful reference for the teaching of mathematical thought and method in analytic geometry.