| Based on the position of conic curve in high school analytic geometry and college entrance examination,the main problems of this study is put forward according to the problems in practical teaching to meet the needs of curriculum integrity,the integration of mathematical culture into the teaching process and the cultivation of students ’ mathematical core literacy from the curriculum standards.What is the impact of conic curve unit teaching design on students ’ knowledge and skills,thinking methods and key abilities from the perspective of HPM ? What are students ’ views on unit teaching from the perspective of HPM ?The whole research adopts the method of mixed research.Firstly,through literature review,expert investigation and interview,the overall framework of unit teaching from the perspective of HPM is formed.A total of five teaching designs are provided,including the unit starting course,knowledge construction course,problem inquiry course and special skill course of elliptical unit.Each lesson step by step between bedding,echo each other before and after,close contact between each other,forming a unified whole.After the teaching practice of conic curve unit from the perspective of HPM,through questionnaire survey and test,it is found that students ’ test scores have been improved,and there are significant differences.In terms of knowledge and skills,students master the best is the ellipse;in terms of thinking methods,students master the best is the transformation and transformation of ideas;in the key ability,students have higher scores in the ability of reasoning and operation.After that,through interviews,it was learned that most students had a high degree of recognition for the integration of mathematics history into unit teaching.They were satisfied with the learning results during this period,but the degree of integration into mathematics history needed to be moderate.Finally,improve teaching through teaching reflection.Combining the research conclusions and survey results,the following teaching suggestions are proposed :(1)Additional historical stories help students improve interest and classroom efficiency;(2)Reconstructing the historical process to help students understand the concept and form the knowledge structure;(3)Copying historical methods to help students explore in depth and expand their thinking;(4)Conforming to historical questions helps students to understand and promote knowledge transfer.The unit teaching from the perspective of HPM can effectively arouse students ’ curiosity and interest in learning mathematics,create a good classroom culture atmosphere,let students understand the process of knowledge generation and development,construct the knowledge network structure,and promote the understanding of knowledge.It is helpful for students to grasp the knowledge system,internal relations and practical application as a whole,so that students can realize the close relationship between mathematics and other disciplines,mathematics and real life.It is hoped that students can learn the spirit of mathematicians who are not afraid of difficulties and study in depth to form a correct view of mathematics,outlook on life and values. |
