The Investigation Of 'Advanced Standpoint' In Middle School Mathematics

With the development of new curriculum reform and the constant renovation of the middle school mathematics textbook,some concepts,ideas and methods of advanced mathematics have been penetrated into the middle school mathematics education.The increasing questions of the national college entrance examination and mock tests which are set against the advanced mathematics capture the spirit of many scholars and students,to make them more creative and broaden their limited thinking,so that the question against the'Advanced Standpoint' has been got a great attention.This paper focuses on a popular topic on the theory of the 'Advanced Standpoint',beginning with the present research status on the 'Advanced Standpoint' investigated by both home and abroad scholars and concerned with the new standard textbooks,which declares the purpose and significance of research,summarizes the previous achievements,and exemplifies the contents of 'Advanced Standpoint' contained in the current PEP edition B for the middle school mathematics textbooks,to fully elucidate that the knowledge of the advanced mathematics is already penetrated into the middle school mathematical education.Then the article clarifies and sorts through questions of the national college entrance examination tests and mock tests which contain the theory of the 'Advanced Standpoint',comparing the elementary solution with the advanced solution,to emphasize the superiority of the advanced solution and hope that the middle school students and mathematics teachers can acquire inspiration from this section,so that the ideas of 'Advanced Standpoint' will be helpful for their work and study in the future.The work analyses and inquires into the 'Advanced Standpoint' in the middle school teaching mathematics by means of questionnaires about concavity and convexity of function and other applications of teaching cases related to it,which illustrates the necessity of implementing the theory of the 'Advanced Standpoint' in the middle school teaching mathematics,thus summing up the four characteristics of the middle school mathematics questions related to the 'Advanced Standpoint',putting forward some suggestion about how to implement the theory of the 'Advanced Standpoint' in the middle school teaching mathematics from four aspects related to the middle school students,the middle school mathematics teachers,the junior teacher's college and the educational department.Through the investigation and study of this subject,one purpose is to help students to broaden their thinking,and improve their mathematics professionalism.Another aims of the work is to increase the awareness of the 'Advanced Standpoint' to the middle school teachers and advance the ability of teaching process.It also encourages the educators to pay more attention to the effect of the 'Advanced Standpoint' theory on the middle school mathematics teaching,in order to boost the development of the education of mathematics in middle school,and make the whole mathematical education system even better.