Under The Core Accomplishment,Mathematics History Is Integrated Into The Teaching Research Of High School Calculus

"General Mathematics Curriculum Standards for High Schools(2017 Edition)"(referred to as the "New Curriculum Standards")put forward the core literacy of mathematics based on the previous curriculum standards.The core literacy of mathematics is the embodiment of the core literacy of students' development in mathematics.It reflects the characteristics of mathematics,and it is also a concentrated reflection of the value of educating people.It is also a concentrated reflection of the goals of the new curriculum,which runs through the main line of the entire new senior high school curriculum.In addition,the "New Curriculum Standard" also requires the integration of mathematical culture into the entire curriculum content,which has increased the position of mathematical culture in curriculum standards.The history of mathematics,as an important part of mathematics culture and its specific expression,cannot be ignored in curriculum standards.In addition,this course reform has increased the requirements for calculus.Although calculus is classified as an elective course,it adds limit theory and other content.Elective courses will also be an important criterion for selecting talents in universities.In order to respond to the New Curriculum Standards,and based on the current related research on the integration of the history of mathematics into calculus teaching,and none of them have risen to the level of core literacy;the research on core literacy did not involve Teaching of calculus content.Therefore,it is of practical significance to study the integration of mathematics history into high school calculus teaching from the perspective of core literacy.This article mainly uses the literature research method to collect,identify and sort out relevant literature on the origin and development of HPM,the role of the history of mathematics in mathematics education,the history of calculus development,core literacy,and high school calculus teaching.The research status of integral teaching,and established the relevant theoretical foundations-core literacy theory,HPM theory,and problem-driven theory;the text analysis method is used to analyze the high school calculus content required by the curriculum standards,and get the high school calculus teaching content,And link specific content with core literacy,and specifically analyze the core literacy that focuses on cultivation.Based on the theory established above,this article mainly draws the following conclusions: Firstly,the core literacy that the specific content of calculus focuses on is cultivated.It shows that the teaching of calculus focuses on training students' mathematical abstraction,intuitive imagination,logical reasoning and mathematics.Modeling and other literacy.Secondly,this paper get the core literacy perspective of history of mathematics in high school calculus teaching should follow the six strategies:according to the historical order,try to micro after product first;pay attention to the thought method,dilute forms of reasoning;the use of source problems and offer;emphasis on practical application,introduced material fade out theoretical basis;emphasizes the concept teaching,revealing nature concept;strengthening the information technology,promote the intuitive teaching.Finally,following the above strategies,two teaching cases of the concept of definite integral and basic theorem of calculus are designed.