The Case Study Of The Integration Of Mathematical History Into Middle School Calculus Teaching

Calculus is cohesive content of secondary education and university education,it's more and more important to make students truly understand calculus's connotation.Traditional way of teaching is no longer adapt to the new learning requirements.By fusing the history of mathematics into the middle school mathematics teaching process is one of the effective ways to achieve teaching goals.This paper focus on the fusion of the development process of calculus and calculus teaching process in high school.This paper is divided into four parts.At the first,It mainly elaborates the research background and purpose of fusing the history of mathematics into high school calculus teaching,and puts forward the problem to be solved in this paper.Secondly,on the basis of massive literatures,this part analyses and summarizes the development process,method and function,as well as the research status of fusing the mathematic history into mathematics teaching.The next is a simple description about the early period and creation process of the calculus.The process includes three periods:early germination,brewing period and creation period.This paper makes a simple statement around some important mathematicians' research process and achievements in the three periods.Meanwhile,this part is the foundation for the core part of the paper.Finally,the core part includes six case studies of high school calculus teaching.These cases respectively fused important mathematicians' research process and results in the creation process of the calculus into the corresponding teaching content.Let students experience knowledge's recreation process.