Research On Teaching Design Of Analytic Geometry From The Perspective Of HPM

《Mathematics Curriculum Standards for Ordinary Senior High Schools(2020Revised Edition)》 requires that mathematics culture be permeated into senior high school mathematics curriculum.Mathematics history is an indispensable part of mathematics culture,which can fully reflect the cultural value of mathematics,and provide diversified choices for students’ development by permeating mathematics history into the curriculum structure of high school mathematics.Analytic geometry is the most important part of high school mathematics learning,most of the students to grasp the essence of its content is not clear,learning boring.Therefore,it is particularly important to integrate the history of mathematics into the teaching of analytical geometry.To some extent,it can not only stimulate students’ interest in learning mathematics,but also make them feel the cultural value of mathematics,and then better grasp the essence of the content of analytical geometry.This paper mainly adopts literature research,questionnaire survey and case study.Firstly,the theoretical basis of integrating HPM into analytic geometry teaching is introduced.Then,based on the content of mathematical history,a questionnaire survey was conducted on teachers and students of a high school in Nanchang city,and relevant data were collected and sorted out,and the necessity of integrating mathematical history into analytic geometry classroom practice was concluded.Finally,combined with the results of the investigation,three teaching cases of linear equation,circle equation and ellipse equation integrated into the history of mathematics are designed,and the linear equation is carried out in the classroom teaching practice.Through questionnaire and classroom practice,we can conclude that is of vital importance to the history of mathematics in the teaching of analytic geometry,it is core mathematics accomplishment and built a bridge between knowledge and skills,not only can develop the students’ core accomplishment,but also can promote the students’ thinking ability and analysis ability to solve problems;In teaching can also create appropriate teaching situation,improve the effectiveness of teaching.