The Teaching Design Research Of Infiltrating Mathematics Culture In The Content Field Of "Graphics And Geometry" In Junior Middle School

With the increasing emphasis on mathematical culture in curriculum standards,how to infiltrate mathematical culture into practical teaching is becoming the key point in attention of front-line teachers."Graphics and geometry" is an important teaching content in junior high school mathematics.However,at present,the research on the teaching design that permeates mathematical culture in graphics and geometry is still weak.Therefore,this paper hopes to provide some references for teachers in practical teaching through the research on the teaching design of infiltrating mathematics culture in junior middle school graphics and geometry.This paper firstly makes an in-depth analysis of the mathematical culture,which can be understood as the sum of all the knowledge related to mathematics.They are the history of mathematics,mathematical application,mathematical language,mathematical thinking and methods,and mathematical beauty.Secondly,it analyzes the educational theories that should be followed in the teaching of graphics and geometry in junior high school,such as Freudenthal's educational theory,constructivism educational theory,etc.The following,using text analysis and case analysis,this article from the textbook with the mathematical culture combines the penetration of mathematical culture in the actual teaching situation,the penetration of mathematical culture in the current graphics and geometric teaching present situation analysis.we find there exists there following questions: 1.mathematical culture infiltration degree superficial;2.The infiltration form of mathematical culture tends to be applied;The infiltration method of mathematical culture is relatively passive.In view of the problems analyzed and combined with education and teaching theories,the infiltration of mathematical culture in junior middle school graphics and geometry should meet the following three principles of teaching design: 1.The principle of permeability 2.The principle of interest;3.The principle of subjectivity.The teaching design strategies that can be used in practice can be divided into the following three types: 1.The strategies of infiltrating mathematical culture in teaching: creating interesting situation strategy,setting inquiry problem strategy,recalling learning process strategy,and assigning independent homework strategy;2.Strategies to infiltrate mathematical culture in teaching contents: understanding mathematical historical materials,based on mathematical application strategies,refining mathematical language strategies,infiltrating thinking methods strategies,and understanding the beauty of mathematics strategies;3.Strategies for infiltrating mathematical culture into teaching methods: integrating modern educational technology strategies and setting up selfactivity curriculum strategies.In the end,three principles and strategies of instructional design are put forward,which are the nature of parallel lines,rectangular coordinate system and golden section.