A Case Study Of High School Mathematics Proposition Teaching From The Perspective Of HPM

The relationship between the history of mathematics and mathematics education is usually called HPM.The history of mathematics mainly studies the science and laws of the occurrence and development of mathematical sciences.It traces the evolution of mathematical content,ideas and methods,and continuously explores the impact of the development of mathematical sciences on human civilization in history.In recent years,the research on the integration of the history of mathematics into the practice of mathematics has attracted widespread attention in the academic circles,but the focus of the research is still on the integration of the history of mathematics into the theoretical part of mathematics teaching.Teaching cases are too scattered,and most of the cases studied focus on conceptual teaching.Mathematical propositions are one of the important contents of high school mathematics learning.In high school mathematics learning,the process of deriving and proving mathematics propositions contains a large number of mathematical ideas.This research mainly uses literature analysis,case study,interview and other research methods to study the history of mathematics and the teaching of high school mathematics propositions.Under the guidance of the integration of the history of mathematics into the mathematics teaching related research,the relevant research is consulted before designing teaching cases And consult a number of experienced front-line teachers to select appropriate content for design and implementation.After class,conduct interviews with students and frontline teachers who listen to the class,and analyze the results collected from the interviews to understand what mathematical history students would like to know,how to understand the history of mathematics,etc.,and understand teachers’ views and opinions on the integration of the history of mathematics into the teaching of mathematics propositions,To trigger in-depth thinking,discussion and research on the history of mathematics,so as to find strategies for teaching high school mathematics from the perspective of HPM.Based on the literature reviewed,interviews with students and teachers,case analysis and after-school reflections,it is proposed that the history of mathematics selected for high school mathematics propositions from the perspective of HPM should have authenticity,purpose,applicability,vividness,and Teaching principles of fun and acceptability;high school mathematics proposition teaching mainly includes the introduction of propositions,proof of propositions,application of propositions,promotion and extension of propositions.The paper starts with these four aspects and proposes high school mathematics from the perspective of HPM Proposition teaching strategies,and each teaching strategy gives a specific case to explain.