Research On Mathematical Thought Method In Senior High School Triangle Teaching

The word "triangle" comes from Greece,which means the measurement of triangle.Trigonometry is widely used in advanced mathematics,astronomy,physics,surveying and so on.The trigonometric content of high school learning is plane trigonometry,which includes trigonometric functions and images,trigonometric identities and triangles.In the teaching of high school triangle content,it is complicated and flexible from the content,but after the analysis of the teaching materials,we find that there are many ways to solve the problem.It is not scattered and disordered,but a complete knowledge system.And there is a vein throughout the system,which is also the essence of the system--mathematical thinking.The mathematical thinking method does not appear with the specific content of the textbook,but it is a command bar to command the students to learn trigonometric knowledge.It is also an important symbol to measure the students' ability in mathematics learning.The status of our students in learning trigonometric content is worrying.They neither remember it nor correctly use it.They get half the result with twice the effort,which makes them discouraged.What's worse,teachers are at a loss.It's worth studying its root cause.On the basis of the above problems,the author makes a thorough study on the mathematical thought and method contained in the triangular content in combination with the teaching practice and the theory of education and teaching.From the investigation and analysis of the students' difficulties in learning triangle content,the author finds out the starting point of the study,and finds the methods and theoretical basis of the research problems according to the theory of educational psychology and the viewpoint of pedagogy.The author fully reads the literature on triangle content,understands the research status of mathematical ideas and methods in the teaching of triangular content,and determines the main direction of this study.Based on the existing teaching experience and the theory of mathematics education in middle school,the author tries to explore how teachers can achieve effective infiltration of mathematical thinking in the teaching practice of triangular content.Combined with teaching examples,the application of various mathematical thinking methods in triangular content isanalyzed,which proves the research value of mathematical thinking method in trigonometric teaching.Finally,students learn how to solve problems by using mathematical thinking methods,and put forward learning suggestions,so as to point out the direction for students to achieve both knowledge and ability.