Investigation And Case Development Of "Nine Chapters Arithmetic" Integrated Into Junior Middle School Mathematics

In the third part of the implementation of the "Compulsory Mathematics Curriculum Standards(2011 Edition)",it is proposed in the third part:"Mathematical culture,as an integral part of the textbook,should be infiltrated in all textbooks.Including the application of mathematics in nature and society,as well as related materials on the history of mathematics development,so as to help students understand the application of mathematics in the history of human civilization and the role of mathematics in the history of mathematics development,stimulate interest in learning mathematics,and feel the mathematician Rigorous academics and appreciate the beauty of mathematics.For example,you can introduce "Nine Chapters of Arithmetic".① As the pinnacle of ancient Chinese mathematics,"Nine Chapters of Arithmetic" was not only the most concise and effective applied mathematics in the world at that time,the algorithm system it established had a profound influence on the development of world mathematics,and it is still widely used today.Through reading and analyzing the cases of the integration of domestic mathematics history into junior middle school mathematics teaching,it is found that most of the teaching cases researched and developed in China are based on the history of foreign mathematics.It is of great significance to integrate "Nine Chapter Arithmetic" into the research of junior middle school mathematics teaching.On the one hand,"Nine Chapter Arithmetic" contains core concepts such as application consciousness,geometric intuition,and model consciousness.The core concepts are an important part of training in mathematics classrooms.Learning mathematics based on "Nine Chapter Arithmetic" can help Students improve math literacy.On the other hand,developing teaching cases with the background of "Nine Chapters of Arithmetic" can help front-line teachers and other researchers to provide materials.This thesis is divided into six chapters:the opening is an introduction,introducing the research background,research purpose,research methods and research significance of this research,and on this basis,the research questions of this research are proposed;Chapter 2 introduces the mathematics The theoretical basis of the integration of history into the mathematics classroom,the construction of the integration model,the method of integration,the research status of the history of mathematics into the mathematics classroom instance,provide theoretical support for the case development of integrating "Nine Chapter Arithmetic" into junior middle school mathematics teaching;Chapter Ⅲintroduces "Nine The basic content of Chapter Arithmetic,some knowledge points and mathematical ideas of Nine Chapter Arithmetic,the research status of Nine Chapter Arithmetic,and the significance of "Nine Chapter Arithmetic" as the pinnacle of ancient Chinese mathematics,especially the significance of mathematics education;Chapters 4 and 5 are the focus of this research.Chapter 4 explains the compilation process and analysis method of the questionnaire of"Nine Chapter Arithmetic Integrating into Junior Middle School Mathematics Teaching",and discusses the current status of "Nine Chapter Arithmetic"integrating into junior middle school mathematics classrooms 3.Teachers’Attitudes Towards" Nine Chapter Arithmetic "Into Classroom Teaching difficult.Chapter 5 introduces the teaching case development process and specific teaching cases based on "Nine Chapter Arithmetic" and the junior middle school mathematics textbook.Chapter 6 is a summary and prospect of the case development of integrating "Nine Chapter Arithmetic" into junior middle school mathematics teaching.