The Change Of Plane Geometric Construction Setting(1951-2013) ——Taking The Mathematics Textbooks For Junior Middle School Published By People's Education Press

Plane geometry content is one of the important contents of middle school mathematics learning.The knowledge and ability of geometric drawing are the basis for students to learn geometric knowledge and play a core role in the learning process of plane geometry.Plane geometry drawing is not only the basic skills students need to master in the learning process,but also vital to cultivate students' methodical thinking ability and good hands-on ability.Therefore,this paper analyzes and summarizes the changes of the content of plane geometry drawing in the previous "People's Education Press" junior middle school mathematics textbook,hoping to provide reference for the compilation of plane geometry drawing in the future textbooks.This study takes twelve sets of junior high school mathematics textbooks as the research object,and divides the time into four periods 1951-1957,1958-1966,1977-1993 and 1994-2013(The textbook during the “Cultural Revolution” period are not researched),and use literature research method,comparative research method,historical research method and statistical analysis method,to study the changes of the content setting of plane geometry drawing in textbooks.The specific research content is:Firstly,carding the historical development of geometric drawing,and analyzing the importance of drawing content.According to the knowledge of plane geometry in the textbook,the content of drawing is divided into five parts: line,Angle,triangle,quadrilateral,circle,similarity and symmetry.Secondly,combined with the historical background of each period and the development course of textbooks,the setting and general requirements of the teaching syllabus(course criteria)for the content of drawing are firstly sorted out,and then the setting and requirements of the teaching syllabus(course criteria)for the content of the five parts are analyzed and summarized respectively.Thirdly,count the number of knowledge points in each set of textbooks,summarize and analyze the arrangement of the corresponding knowledge points and the steps of drawing.Finally,each part of the textbook in the drawing content of the sample,exercise first quantitative statistical analysis,and then the specific content of the sample,exercise analysis and summary.The evolution characteristics of this study are as follows:(1)Complex drawing content is gradually deleted while basic drawing content is retained.(2)The simplicity of drawing is advocated more,and the emphasis of drawing content is gradually transferred to the drawing process,and the proof of the drawing process is no longer emphasized.(3)Drawing knowledge is increasingly closely related to actual production and life.(4)The content of drawing in textbooks is gradually organized.(5)The graphing problem gradually diversified.The following recommendations are obtained from this study:(1)Pay attention to the auxiliary effect of the content of the diagram on the relevant theorem.(2)Pay attention to the drawing content and proof of the close combination.(3)Pay attention to the content of drawing in the embodiment of mathematical beauty.(4)Pay attention to the cultivation of students' ability by basic drawing.