The Main Problems And Solutions Of Equation Teaching In Junior Middle School From The Perspective Of University Mathematics

Equation is the origin of algebra.In the face of an unknown number,we want to solve it,then we use the constraints related to the unknown quantity,and combine with the equivalence relation to form an equation,and we get the equation or system of equations related to the unknown quantity.Having an equation is equivalent to formally admitting that variables or unknowns can be regarded as an independent object.From the change of equation in curriculum standard,students not only need to master the solution of equation,but also need to master the relationship between equation and inequality and function,that is to say,to see equation from the point of view of function.Finally,we need to let students understand the convenience of equation thinking in solving problems,and pay attention to cultivate students' reverse thinking.This paper first explains the changes of equation in the curriculum standard,and then combined with the history of equation development,focuses on the solution of several equations,such as formula method,collocation method,factorization method,substitution method,and also introduces the solution of some equations.For example,Cramer rule,matrix method and so on.This part is the knowledge of equation in higher mathematics.As a teacher,we must master this part in order to integrate "high point of view" into teaching better.With the help of "high point of view" in teaching,teachers make students interested in follow-up learning.In this process,students' core literacy will also have a profound impact on students' subsequent learning.Five types of questions will be set in the test paper to investigate the learners' mastery of equation knowledge.Through the analysis of the test paper,the conclusions are as follows:(1)some students are not familiar with the equivalent relationship in life or other subjects.(2)Students' judgment of the root of quadratic equation and the condition of the equation group with parameters is ambiguous.(3)When students solve the equation,the solution of the equation is too single,and the mastery of some special equations is a little lacking.(4)Students are also negligent in understanding the concept of equation.(5)There are many problems in the application of equation,especially in the combination of function and equation.The main purpose of the questionnaire is to analyze the problems students will encounter in learning equation.The conclusions of the questionnaire are as follows:(1)some students do not have the habit of taking notes in the process of classroom learning.(2)When students do the homework of equation content,they don't complete it seriously and don't test the solution of equation.(3)The students don't review the content of class after class.(4)Some students have the habit of not sorting out the wrong questions.Teachers are the actual executors of integrating high opinion into classroom teaching.Therefore,this paper uses the method of questionnaire to investigate the actual situation of different schools and grades of middle school teachers integrating high opinion into teaching.The conclusions are as follows:(1)most of the teachers think that "high opinion" has an impact on middle school mathematics,and the analysis of teaching materials will also be related to "high opinion".(2)Some teachers will read mathematics reference books with "high views".(3)Some teachers will use the knowledge of advanced mathematics which has been distributed to the teaching materials to solve the problems related to equations.(4)Generally speaking,new teachers are more willing to use "high views" than old teachers.Finally,combined with the survey results of students and teachers,this paper puts forward some suggestions to integrate high views into teaching,including the teaching of the concept of equation,the teaching of equation solution,the teaching of equation application,and the teaching of the relationship between function,equation and inequality.At the same time,in order to better carry out these teaching,it also puts forward some necessary suggestions for middle school and front-line middle school teachers.