Research On The Teaching Of Geometry And Algebra In The New Textbook Of Senior High School ——Taking “plane Vector” Teaching As An Example

The mathematics curriculum standard for senior high school(2017 Edition)puts forward that the contents of mathematics textbooks should be arranged according to the main line structure,including four main lines: function,geometry and algebra,statistics and probability,mathematical modeling and mathematical activities,and the mathematical culture should run through the main line,replacing the original modular concept with deepening of the new curriculum reform,the compilation of high school mathematics textbooks has also changed.In order to improve the teaching quality and better implement the curriculum objectives,this paper uses the methods of literature analysis,questionnaire survey,experience summary and teaching case study to study the content setting and teaching of the main line of "geometry and Algebra" in the new high school mathematics textbook,and takes the quantity oriented teaching as an example to discuss in detail how to implement the curriculum standards and improve the teaching quality in the teaching process.The effective teaching strategy of teaching.Taking "geometry and Algebra" as one of the four main lines of high school mathematics curriculum content is an important embodiment of the idea of geometric algebra and algebraic geometry in mathematics teaching methods.Algebra and geometry are one,and they can promote each other.This paper analyzes the current teaching situation of the main line of "geometry and Algebra" in high school mathematics,studies the teaching characteristics,teaching value and teaching enlightenment of the main line,and puts forward several teaching strategies to improve the teaching of vector based on the survey results: paying attention to the teaching of guiding vector concept;emphasizing the understanding of the essence of vector operation;experiencing the process of constructing operation system;emphasizing the application of vector Value,number and form should be considered simultaneously,and analogy should be used to transfer knowledge.The detailed teaching cases are designed,and the specific requirements and methods for the teaching of "the concept of plane vector" and "the addition operation of vector" are given.At the end of the paper,it summarizes and prospects the full text,and points out the shortcomings of the research and the direction of further improvement.