The Junior Student’s Learning Difficult In Linear Function And Its Teaching Countermeasure Research

As one of the key points and difficult points of middle school mathematics,linear function is one of the key points in the teaching of mathematics in junior middle school.In this article,through access to Tianshui the Academic Test For The Junior High School Students analysis from 2012 to 2012 years,and the seven Tianshui Y high school interview front-line teachers,at the same time using the test method to test was conducted among 297 students,found that students in learning a function in the process of four types of difficult:Firstly,there are difficulties in understanding the concept;Secondly is the difficulty in grasping the image and nature;Thirdly,it is difficult to determine Linear function analytic expression.Fourthly,there are difficulties in comprehensive application.The difficulties in conceptual understanding are divided into aspects: firstly is the abstraction of the function itself;Secondly is the inability to understand the number of relationships represented by symbols.The difficulty of grasping the image and nature is divided into three aspects:first is that it cannot be traced correctly;Second is the geometric meaning of the coefficient in the function relation is not recognized;Third is not to understand the significance of the node of functions.There are two aspects,which determine the existence difficulty of Linear function analytic expression: firstly,the analytic expression cannot be determined by using the linear equation in two unknowns.Secondly is to not understand the effect of analytic change on the image and property of Linear function.There are three main reasons for the difficulty in comprehensive application: firstly the function image cannot be connected with the property of geometry;secondly insufficient operational capability;Thirdly insufficient reading ability.According to the findings,the paper refer to the related literature and after practice,puts forward some feasible countermeasures: reasonable in view of the difficulties in students’ conceptual understanding,teachers should make students learn by Linear equation with one unknown,and according to the students’ cognitive development levels help students learn Linear function.For a master image and nature difficulties,the teacher should let the students read and draw figure to construct the combination of number and shape ideas,law of variation coefficient of lead students to find themselves,let the student independently explore the condition of exist intersection point.To determine the function analytical difficulty coping strategies,teachers should make students establish analytic expression according to different types of practical problems,at the same time strengthening variant training to master the method of undetermined coefficients to set up analytic expression.Difficulty in the application of comprehensive,teachers should make students regard Linear function image as geometry,to grasp the method of solving moving point problem and analyze the known conditions,to strengthen the students’ reading ability.