Investigation And Study On The Errors In The Problem Of "Graphic Change" In Junior High School Students

“Changes in Graphics” is an important part of the “Space and Graphics” section of the Compulsory Mathematics Curriculum Standards(2011 Edition).It consists of five parts: axis symmetry of graphics,rotation of graphics,and translation of graphics.,the similarity of graphics and the projection of graphics.The requirement for "changes in graphics" is to use the "change" perspective to understand graphics,while improving students' geometric intuition,spatial imagination and reasoning ability.In the middle school entrance examinations in recent years,the topic of “changes in graphics” has an important position.However,through the combing of domestic and foreign literatures,scholars have compared the study of students' learning after learning the relevant knowledge of “graphic changes”.less.Therefore,it is of practical and educational significance to study the learning situation of students after learning the relevant knowledge of “graphic changes”.This study uses literature analysis method,questionnaire survey method,test volume survey method and interview method to understand the learning situation of students' knowledge about "graphic changes".Based on the interviews of frontline teachers,the paper proposes "graphic changes." The test questions and the “graphic change survey questionnaire” were tested and investigated by 205 junior high school students who had preliminary knowledge of “graphic changes” in a middle school in Shijiazhuang City,Hebei Province.The “Graphic Change Test Question” is intended to collect the types of problem-solving errors of students;the “Graphic Change Questionnaire” is intended to analyze the way students deal with problem-solving errors,self-reflection,self-monitoring,etc.,and students' Changes in the learning of related issues,including learning attitudes,interest in learning,and completion of assignments.Through investigation and analysis,the author draws the following conclusions: The specific expression of the main types of students' questions about "graphic changes" is :(1)the translation does not change the shape of the figure and the direction of translation;The axis of symmetry must be vertical;for changes in the center of rotation that are not on the original image,(2)logical errors are not applied: the concept of several changes is stolen;the relevant properties in "changes in the shape" are not applied(3)Strategic error: When solving the "graphic change" problem,the idea of combination of numbers and shapes,equations,etc.will not be applied;when solving the "graphic change" comprehensive application,you can't contact the upper and lower questions(4)negligence error: the corresponding error Line segments and angles;wrong calculations and missing calculations.Finally,based on the analysis of students' problem-solving errors and questionnaires,the author explores the main reasons for students' errors and points out some suggestions for teachers' teaching.On this basis,the corresponding teaching design is carried out for the main types of errors,in order to prevent possible errors in the teaching in order to achieve more targeted teaching.