Analysis Of Conic Section Content In High School Mathematics Textbook

Conic section is the core content of plane analytic geometry in senior high school.It's the related ideas and methods are also the basis of analytic geometry.Thus,it is necessary to combine the knowledge of algebra and geometry in the process of learning the nature in senior high school.At the same time,conic module occupies a high proportion in the college entrance examination every year.In addition,conic has a wide range of applications in real life,such as celestial body movement,military,navigation and other aspects.Therefore,it owns significant meaning to analyze the content of conic in senior middle school mathematics textbooks.Deep study and exploitation on the textbooks will be helpful for us to better carry out teaching work in the future.In this paper,we take the textbooks of Hunan Education Press,Jiangsu Science and Technology Press and People's Education Press as reference,and take the conic of senior high school as the research object.We mainly study the mathematical culture involved in the conic and analysis of the contents of the textbooks.The main contents of this paper are as follows: Firstly,summarize and analyze the textbooks and teaching research of conic;Secondly,make an overall analysis of mathematical culture in the textbooks,and transform the academic form of mathematical culture into an operational teaching form;Thirdly,analyze the concepts and standard equations of conic in the three editions,we mainly analyze how to create the problem situation of the concept,whether the creation of these problems can reflect the mathematical value,scientific value and life value of conic,and the derivation processes of the standard equation of ellipse;The last one,design the teaching cases of the concept and equation of ellipse,and compare them with the textbook-based cases.Based on the above analysis,we can get the following results: In the culture of mathematics,the Jiangsu Education Edition is relatively balanced in the distribution of the contents of the mathematical culture,while in the A and Hunan versions,the mathematics culture is mainly distributed in the non-text and problem parts;In the analysis of textbooks,the Jiangsu Education Edition focuses on the introduction of concepts from the perspective ofapplied value.The A-version and the Hunan-based editions are introduced from the perspective of students' hands-on operation of conic curves,and attach importance to the exploration of the nature of mathematics.