The Function Of Counter-example And The Mode Of Counter-example Teaching

Counter-example plays an important role in mathematics.Counterexample thinking takes through almost course of mathematics.It plays an important role in helping students understand concepts correctly,skillfully apply theorems and cultivate converse thinking.It is directly related to the degree of students' understanding of mathematics.Therefore,the counter example is an indispensable part of the mathematics teaching in junior high school.Through the questionnaire survey of the fifteen middle schools in Qingdao,Shandong,this paper makes a summary from the perspective of the students and the teachers.It is found that the ability of middle school students to use counter-examples is not strong,and teachers seldom involve counter-examples in mathematics teaching.Based on collation and analysis of the questionnaire and combined with the actual situation of the junior middle school teaching at the present stage,the author takes two classes of grade nine in Qingdao City fifteen middle school students in Shandong province as the research object,carried out a teaching experiment for more than four months,the purpose is to verify the feasibility of the teaching mode and the effective counter-example model.At the same time,this paper also gives the theoretical basis of the counter-example teaching model and the construction of the counterexample.Finally,it is found that the counter-example teaching model can improve the students' learning effect.