A Study On The Teaching Of Real Exponential Power And Logarithm In HPM Perspective

Nowadays,the history of mathematics has come into people's view more and more.How to integrate mathematics history knowledge into middle school mathematics teaching and make it play its due role in mathematics classroom has also become a widely concerned subject for mathematics workers,especially the mathematics education theory workers.This paper carries on the research under the HPM angle of view,.I consider the following issues:(1)What is the current situation of integrating mathematics teaching into the history of mathematics in the high school that I practice?(2)What are the students' views on the integration of mathematics history in the course of mathematics teaching? What is the effect of this teaching into the history of mathematics on students' understanding level and emotional attitude?(3)How to integrate mathematics history knowledge into middle school mathematics classroom?The author took part in the educational practice from September to December,using the educational practice period to discuss the above problems.Based on the effective teaching theory and according to the way and principle of the integration of mathematics history,this paper discusses the integration strategy of mathematics history knowledge,and takes advantage of the opportunity of practice,carries out the teaching experiment research with the students of the two classes of the author's practice,and puts the theoretical discussion int o teaching practice.Based on the teaching of real number exponential power and logarithmic operation in the second volume of high school mathematics compulsory course,the author designed a questionnaire to check the different influence of case design under different teaching ideas on students,and based on this,analyzed and evaluated the effect of teaching strategy of integrating mathematics history into mathematics classroom.Through the teaching experiment research,the author draws the following conclusion: very few teachers will occasionally add the relevant mathematics history in the classroom,a considerable number of teachers think that it is very difficult to consult the mathematics history data and integrate the teaching plan,it is not clear how to integrate the mathematics history is better.From the two case teaching results used in this paper,the integration of mathematics history into mathematics teaching has a positive impact,students have a positive attitude towards the integration of mathematics history into mathematics teaching.On the one hand,the integration of the history of mathematics is more obvious for the active classroom and the improvement of students' interest in learning.On the other hand,the integration of mathematics history has some effect on students' understanding of knowledge,although the gap is very small,it can also be seen that reasonable integration of mathematics history will not hinder students from learning to understand new knowledge,but let students learn new knowledge on the basis of understanding,which will make students remember more deeply.