Research On Classroom Teaching Of Senior High School Mathematics Problems From The Perspective Of HPM

The research of HPM is one of the most popular trend in of international mathematics education,especially in the aspect of applying the math history to the real teaching class,which is still under the research.Applying the math history in teaching and putting forward of questions are the hot topics in the process of mathematical curriculum reform in China.The strategy of question is an important way to help students understand math and find the relationship between different maths.This thesis can replay not only the continuity of classic problem in the mathematical history development,but also the marks of detecting the appearance of questioning to mathematics,which is under the perspective of the history of mathematics and the relationship of mathematics education,taking the cognitive theory as the instruction,through the deep understanding of the history process of questioning,and the relationship between the problems.Combining with the characteristics of modern thinking,psychology and other related theory to explore the teaching strategy of questioning between history and nowadays.The followings are the main work of this thesis.First,the thesis introduces the research background of questioning,analyzes the positive effects on students' abilities of understanding math,developing thinking and cognizing problems by looking up the literature.And Defined related concepts of the problem,math problems,questioning.Second,according to the real questions' emergence in math history and the research on the development of the mathematical concept theory,this thesis replays the development of mathematics,presents many methods of problem finds and putting forwards,analyses the relative thinking facts,and summarizes the the teaching meaning of questioning in math history.Third,the thesis knows the real effect of putting questioning in use and the effective facts students to question by investigating the high school math teaching current situation of questioning.On this basic some suggestions can be seen in the thesis.Fourth,This paper analyzes the reasons of the disadvantages of mathematics historyin the teaching,combining the education significance,and makes the further study to classic questioning in the history,and summarizes the relationship between the classical mathematical questioning and the cultivation of students' creative thinking,the method of mathematical thinking,development of body and mind.Fifth,the teaching strategy of questioning under the HPM perspective can be put forward in this thesis by applying the study moving theory in the modern psychology,using the continuity of thinking in mathematics and the mathematical widely applied characteristics,combining with modern education concept of humanism and analyzing the context and the methods of mathematics history,which is based on the practicality of students' learning characteristics and knowledge construction as well as the math teaching classes.