Discussion On Innovative Ways Of Mathematical Application Questions Under The HPM Perspective

In recent years,due to the special effects of mathematical application,like has connecting with reality and the interest of inspiring students to learn mathematics,it has become a hot topic in teaching reform.There are a lot of literature on the teaching of mathematical application,but the results are not perfect.The pressure of entrance exam,fixed teaching mode,the same content and the lack in real life as the background,cause lack of innovation and not enough attention for the teaching of mathematics problems caused,which in turn makes teaching ignores the essence of mathematics word problems,only pay attention to score points and problem solving skill,not fully show the special function of word problems.Although there are more and more researches on HPM,the study of the practical knowledge of mathematics history in mathematics teaching is still insufficient.Therefore,it is urgent to innovate mathematical application problems based on HPM.This paper first focus on the influence on mathematics teaching of HPM.After reading a lot of related literature on teaching of mathematics word problems,this paper will emphasizes on use of HPM for application to explore the ways of innovation will be into the application of the innovation to the history of mathematics.On the one hand directly calculate the ancient classic,collect the typical application of mathematics questions related in the history of mathematics history information,learning history topic closely with practice in the name of the tradition,and reveal the important thought method,which contain the past or revising use;On the other hand,drawing on the way of writing ancient math problems,it is closely related to modern practice to arouse students' interest in mathematics.The paper summarizes the innovation rules of mathematical application problems based on HPM,including: setting up specific application problems with the actual,intuitive sense of the mathematical name of the thought method.According to the above mentioned content,the design of relevant secondary school application teaching cases,the implementation of two questionnaires related to the research content.One is to investigate teachers' knowledge of the history of mathematics and the use of knowledge,as well as the problems;Another is to investigate the difficulties that students have in solving the application problems.According to the investigation,analysis of the history of ancient and modern,Chinese and foreign famous topic influence on modern mathematics teaching,points out the problems existing in the teaching of mathematics word problems and give suggestions to improve the presentsituation,hope these suggestions to improve the mathematics word problems of teaching to offer help.