Teaching Practice Of Unit Initiation Course From The Perspective Of HPM Taking Trigonometric Function As An Example

In the new curriculum reform,we should pay attention to the leading position of teachers and the main position of students,improve the guiding role of teachers and pay attention to the direct experience of students in knowledge learning.Hans friedenthal is an outstanding mathematician and mathematical educator in Holland.His famous theory of "re creation" provides a guiding direction for the historical occurrence principle of HPM.The historical occurrence principle of HPM teaching tells us that the students’ understanding of mathematics knowledge is often similar to the development of history,and students will encounter similar problems in the process of learning.In view of this,teachers should pay attention to the obstacles experienced by mathematicians in history in the teaching process.The theory of unit teaching has gradually matured,but the theory of unit starting course is not perfect.Unit starting course is an important part of unit teaching,and it can be used to improve the theory of unit starting course teaching.The topic of trigonometric function is in a high school stage.Through interviews,it is found that teachers often start the unit lesson after the cognitive objectives of this section are finished,and start the next section of the content learning,less consideration of the deep role of unit starting class.In fact,as the starting lesson of trigonometric function unit,there are many value that can be mined.Taking the theory of unit starting course and HPM as the core,it is of great significance to design the teaching of trigonometric function starting course.Under the guidance of HPM teaching theory and unit starting lesson theory,this paper summarizes and constructs the teaching strategy of unit starting course teaching theory based on HPM teaching;on the basis of analyzing the teaching status of trigonometric function,combining with the historical data of trigonometric function,the paper abstracts the key,difficult and mathematical ideas of trigonometric function;finally,it gives the teaching cases of unit starting course of trigonometric function from the perspective of HPM The teaching practice is reflected and summarized.