The Teaching Research Of The Conic Section Concept Review Class For Senior Three From The Perspective Of HPM

Revision classes have different kinds according to different teaching objectives,but they all occupy an important position in high school teaching and are indispensable links in teaching.Especially the basic knowledge review course,while undertaking the responsibility of consolidating and summarizing knowledge,also guides students to establish the cornerstone of problem solving.Instructional design from the perspective of HPM has always been a research hotspot of HPM.The research of instructional design focuses on new courses and proposition courses.In recent years,researchers have expanded HPM teaching to a new field-review courses.In view of the importance of the third grade conic review course and the enlightenment of the HPM review course teaching research,the author studied the conic concept review course teaching from the perspective of HPM,and discussed the following questions:(1)What is the current situation of the conic review course teaching?(2)How to design the teaching model of the concept review course of conic curve from the perspective of HPM and implement the teaching design?(3)What is the teaching effect of the conic concept review course from the perspective of HPM?So this study is mainly divided into three parts.The first part is to issue questionnaires,with conic curve as the core,considering to grasp the relevant status around the teaching of high school mathematics teachers;the second part is to form and improve the teaching design of conic concept review course based on the basic framework of teaching design from the perspective of HPM;the third part is to review the concept of conic curve from the perspective of HPM by using experimental method and interview method.The teaching effect of the course is studied to show the change of students in HPM review course.The results are as follows:Firstly,the teaching of conic curve still exists problems.The importance of conic curve is self-evident.Teachers have a comprehensive understanding of the improvement of students' logical thinking and the promotion of subject literacy.But on the contrary,the teachers' explanation of the relationship between conic concept in the review class is still unsatisfactory.Secondly,the use rate of history of mathematics in daily teaching is still not high,but according to the survey results,teachers are more willing to use history of mathematics in a comprehensive,knowledge-complete review class.Secondly,according to the practical experience,the author extracts the steps of teaching design,studies the relevant literature to determine the rationality,establishes six compl,ementary links as the basic framework of teaching design,designs and implements the concept review course of conic curve around the framework.which proves that the concept review course of conic curve under the perspective of HPM is feasible.Thirdly,the teaching of the concept review course of conic curve from the perspective of HPM makes the students' understanding of conic curve have a Span-type improvement.Taking Dandelinball as a clue,the students' understanding of conic curve concept and the breadth of the relationship between concepts have been greatly improved.At the same time,the unified definition of conic curve has been grasped from whip to inside,which improves the students' understanding of conic curve.The level of logical thinking ability and subject literacy,students also hold a supportive attitude to the review of conic concept from the perspective of HPM.Based on the above findings,this paper draws the following enlightenment from the HPM perspective in the teaching of the concept review of conic curve:First,the design should explore the details of textbooks and historical materials,and find out the breakthrough point of the history of mathematics.This research firmly grasps the key clue of "Dandelinball" and links up the concept of the whole conic curve in series.Secondly,teaching should pay attention to the combination of theory,skillful use of teaching methods.Whether it is a new lesson or a review lesson,teachers should develop students' thinking and ability under the guidance of teaching theory,so that the review lesson can play its greatest role.Finally,we should make various attempts to bring the value of the review lesson into full play.The review lesson from the perspective of HPM can improve students' interest in learning and deepen students'understanding of knowledge.Teachers can try more and give full play to the value of the review lesson.