An Analysis Of The Problems And Causes Of Linear Function Learning Of Students In Grade 8

"Compulsory education mathematics curriculum standard(2011 Edition)" puts forward the linear function teaching to realize the significance of the linear function.And use the first function to solve practical problems.Grade eight is an important node for student age,It is also the beginning of the development from the empirical to the theoretical type.So the teaching of the linear function becomes one of the key problems in grade eight.Eight grade students in learning the linear function of obstacles,teachers in the teaching process is also difficult to teach linear function.In order to understand the students in learning linear function process problems.Through the pre survey first,students are tested and interviewed by teachers to identify problems that students have in learning linear function,and according to these questions to develop papers to select three middle school students,.Issued 384 papers,the final effective recovery of 334 papers for problem analysis.And allow students to write the answer in the examination paper ideas,in order to facilitate the study.At the same time select the school teachers in-service interviews.Through the analysis of the papers,six parts of the problem were found :First,the linear function of zhe letter in the expression of understanding lack of understanding;Second,the letter symbol in linear function expression and the image position are not established in a substantial effective contact;Third,a variable in the linear function of a lack of understanding;Fourth,the proportional function is chaotic with the logic of the linear function;Fifth,the lack of understanding of the convergence and distinction between the concept of function and other concepts;Sixth,identify the image information is difficult to form the combination of digital thinking.Analyze the reasons for the existence of the problem,from the psychological point of view of the negative transfer of knowledge,as well as the lower knowledge of the two aspects of learning.The results of the study are as follows: 1.The eighth grade students have a lack of knowledge of the concept of the linear function;2.The students in the eighth grade have a weak idea of the combination of the number and shape of thinking in the linear function;3.The students in the eighth grade have a lack of knowledge and logical relationship.And put forward the corresponding teaching suggestions:1.Create the situation,combined with modern teaching techniques,improve the linear function of teaching;2.The use of mathematical concepts of multiple representation of the teaching methods to strengthen the combination of students with the formation of ideas;3.The use of bracketed teaching,to overcome the negative transfer of knowledge,the formation of the student's knowledge system.