Teaching Research On Mathematical Thinking Methods In High School Inequalities

Mathematics thought method uses the mathematical knowledge as a medium.It's the soul and spirit of mathematics and it has the important significance to the students' mathematics study.“General high school mathematics curriculum standards(The 2017 version)” and the exam syllabus both put forward clear requirements for mathematics thought method.Teachers should help students promote the ability to find,analyze and solve problems.Inequality relation is one of the most basic quantitative relations and it runs through the whole teaching of mathematics in high school.It becomes the link with each knowledge point and the foundation of mathematics research.Inequalities have a lot of mathematics thought method.It's important to explore the application of mathematics thought method in inequality teaching,so as to help students form a real application consciousness and promote their mathematics core literacy.Paper found that mathematics thought method has difficulty in inequality teaching through the investigation and study.According to the problems,the author puts forward targeted suggestions and hope to provide the helpful reference for teachers and students.It can help teachers infiltrate mathematics thought method more effectively in inequality teaching.Students can understand the essence of knowledge more deeply.Based on a large number of documents,this paper first introduces the common mathematics thought method in inequality.This paper explored the following problems in the application of mathematics thought method in inequality teaching from the perspective of teaching and learning through the questionnaires,test papers and interviews.For teachers,the lack of personal concept of teachers and the importance of mathematics thought method is not enough;the teacher's mining degree of mathematics thought method is not enough;the way that the teachers infiltrate mathematics thought method is not reasonable;the way to obtain information is relatively simple.For students,there is a certain deviation in the students' concept of learning mathematics thought method;the ability of applying mathematics thought method is not strong,and studens' thinking set is serious;the students don't master the basic knowledge and skills;the students don't form a good habit of learning mathematics.For the problems found,the author puts forward some suggestions.The suggestions for teachers are as follows: renew the teaching idea and pay more attention to the mathematics thought method;rely on mathematical culture and drive the teaching of mathematics thought method;based on the teaching materia and excavate the mathematics thought method deeply;teachers should infiltrare mathematics thought method in all aspects of teaching,including permeating mathematics thought method in new knowledge teaching,activating mathematics thought method in problem solving and refining mathematics thought method in summary and review.Suggestions to students: enhance the importance of mathematics thought method and increase interest;actively participate in classroom teaching;good at summarizing and reflecting and strengthening group cooperation and communication.