A Study On Mathematics Teaching In High School From The Perspective Of Advanced Mathematics

Influenced by the “Klein Movement”,a new upsurge of the advanced mathematics play an additional role in secondary mathematics teaching has been brought in the field of mathematics.Because this kinds of research conforms to the trend of curriculum reform.many scholars and educators in the field of mathematics have carried out extensive research on this issue from different perspectives and have achieved excellent results.Derivatives are the contents of higher mathematics that are simply processed and then transferred to middle school.They are also the link between middle school mathematics and university mathematics.The calculus ideas and methods in advanced mathematics play an important role in guiding the teaching of middle school derivatives.This article is based on the current situation of derivative teaching in high school and the research status of advanced mathematics guidance in middle school mathematics teaching,this thesis establishes the research direction and argument.In order to avoid the extensive study of words,this thesis from the development history of derivative,the requirements of derivative in the new curriculum standards and examination syllabus,the role of derivative in connecting middle school mathematics and higher mathematics,the content of the derivative analysis.This thesis uses the form of questionnaire survey to search the opinions of the teachers in the front line of the central school on the guidance of Higher Mathematics in the middle school mathematics teaching,as well as the actual situation in the teaching.Based on the above research and investigation,this article provides suggestions and references for high school teachers to solve the problems in the current teaching situation with the help of advanced mathematics from the two aspects of solving derivative problems and teaching derivative concepts.It is recommended to briefly describe concepts such as "limit" and do not emphasize Strict definition,assisting the teaching of the concept of derivatives.In terms of problem-solving methods,it emphasizes the application of advanced mathematics,weakens the theoretical proof,and provides ideas and methods for solving derivative problems.Make full use of computer network to assist advanced mathematics to guide middle school teaching.