Research On Middle School Mathematics From The Perspective Of Advanced Mathematics

Many scholars,in recent years,have made multiple-angle research on mathematics teaching in middle school from the perspective of higher mathematics.They try to illustrate the guiding role of advanced mathematics in middle school mathematics not only from the point of thinking method,but also through specific examples.From that,it is of great significance to strengthen the connection between advanced mathematics and middle school mathematics and to infiltrate the thought of advanced mathematics into teaching of middle school mathematics.Space midpoint,straight line,plane and their position relations in middle school mathematics teaching materials are an improvement from plane to space.While,students are confused to learn this part of knowledge,which requires the all-round and in-depth teaching of mathematics teachers in middle school.This paper studies the content of solid geometry in middle school mathematics from the perspective of advanced mathematics.Firstly,this paper expounds research background,research aims and present situation of the research at home and abroad.What's more,this paper elaborates the historical developing process of geometry,the significance of geometry education,the distribution of geometry in the middle school mathematics,the requirements of the curriculum standard and so on.This paper mainly studies space midpoint,straight line,plane and their position relations in the teaching material of middle school.The most basic element point,straight line and plane in space are studied with algebraic method to establish the corresponding equations and deduce the analytic expressions of space midpoint,straight line,plane and their position relations.Research on these contents is hoped to provide some help for mathematics teachers in middle school.Secondly,a questionnaire survey on middle school mathematics teachers using the knowledge of advanced mathematics to guide geometry teaching is made and analyzed,to reflect that middle school teachers realize the importance of solving geometry problems in middle school by using advanced mathematics knowledge,ideas and methods.At last,this paper summarizes the thinking teaching of teaching geometry content in middle school with “the perspective of advanced mathematics”,in the hope of not solving problems in the way of middle school,improving teachers' professional literacy,grasping comprehensive teaching content and guiding middle school mathematics.