Eiementary Methods To Prove Inequalities In High School Teaching And Learning Status And Countermeasures

Inequality proof is the basic method of an important part of learning,can not only directly impact on inequality proof,can also in solving other sprang out,master the proof method can deepen students' understanding of inequalities,improving the students' knowledge system and to improve students' consciousness of inequality for application.Therefore,it is of great value to have an in-depth understanding of the current learning situation of the basic methods of proof inequality for senior high school students,and to put forward some effective learning strategies and teaching suggestions according to the current situation.In this paper,with the help of a SOLO classification evaluation theory,synergy literature research,test method,questionnaire method and interview method,to the ordinary high school mathematics curriculum standard(experiment)"(in this paper,the following will be the ordinary high school mathematics curriculum standard(experiment)called" course standard ")based on the basic of high school to prove inequality method research the present situation of teaching and learning.The test volume starts from seven dimensions of comparison method,synthesis method,analysis method,contradiction method,contraction method,substitution method and constructor method,and the questionnaire is launched from four dimensions of mathematical emotion,learning habit,knowledge ability and teaching.The selected research objects are 300 senior high school students from Harbin No.6 Middle School in Heilongjiang Province.Based on the results of test paper,questionnaire and teacher interview,the basic methods of students' learning status and attributions of inequality proof are as follows :(1)the concept of "heavy exercise proves light method research" is deep;(2)Insufficient ability to integrate knowledge;(3)Bad study habits.And put forward the following improvement strategies :(1)to change the students' ideas,highlighting the importance of methods;(2)improve the ability of integrating knowledge and construct the framework of scientific knowledge;(3)Develop good study habits.The teaching status and attributions of the basic methods of teacher proof inequality are as follows :(1)ignoring the formation process of knowledge;(2)Lack of infiltration of mathematical thought;(3)The teacher does not know enough about the students and the class is not attractive enough;(4)neglecting the distinction of methods and the connection of knowledge points.The following teaching suggestions are put forward :(1)pay attention to the formation process of knowledge;(2)Close combination of teaching and mathematical thought and method;(3)To fully understand students and attract their interest in learning;(4)Clear teaching objectives and be good at summarizing;(5)Layered homework.