The Action Research Of HPM In The Teaching Of Solving Triangle In High School

The history of mathematics is an important part of the history of human civilization and a treasure of the history of human civilization.HPM is an organic combination of mathematics history and mathematics teaching.Under the background of the new curriculum reform,HPM has become an important research direction.With the deepening of research,the application of HPM in practical teaching has gradually moved from theory to practice.The new curriculum standard mentioned: to reflect the cultural value of mathematics.The mathematics teaching material also gradually begins to add the mathematics history content,but how to effectively integrate the mathematics historical data into the mathematics classroom teaching in the actual teaching? How to design extensive HPM cases? What effect does the research and development of HPM case math classroom teaching have on students' learning? What is the impact of research and development of HPM case mathematics classroom teaching on teacher professional development? And so on.In view of these problems,this paper will learn from the existing research,choose the teaching perspective of HPM,take the four main class hours of solving triangles in high school as an example,and study the action of HPM in solving triangles in high school teaching,develop highly generalized HPM cases,and implement and study HPM cases in real teaching situations.Finally,combining with the design method of HPM,the HPM case teaching practice model was established,and the HPM case was constantly revised and improved in the process of implementation and research,and then the established practice model was further tested.Through questionnaire survey,MOOC(MOOC),HPM micro classes,interviews,teaching activity,teaching level test a variety of ways,such as investigating students and teachers,collecting research data,through SPSS for data into quantitative and qualitative analysis,to understand the teacher in high school in the triangle teaching application of HPM the present situation of the case teaching,the teachers and students of HPM case teaching attitude and perception,as well as in the case of HPM problems encountered in teaching and so on,puts forward some practical Suggestions for HPM case teaching.Summarizes the problems,explore the countermeasures to solve the problem,design the HPM teaching cases related to the teaching content,finally by means of the implementation of teachers before and after the interview to the qualitative analysis of the teaching method of teachers cognitive change and influence on teachers' professional development,transform the traditional classroom teaching methods for modern teaching method and improve some traditional teaching methods and let the HPM can enter the mathematics classroom as soon as possible,give full play to its education value.