Teaching And Research Of Mathematics Theorem In The Perspective Of Technology Pedagogy And Content Knowledge

This research is based on the TPACK theory and "technology mapping" thought. First, the research designs a questionnaire to learn present situation of learning the integration of mathematical theorems and information technology in high school.These works make a foundation for integrating IT in teaching theorem and improve teaching methods and facilitate students understanding of theorems.Then,how to integrate information technology into the teaching of mathematical theorems to go as the starting point to analyze four typical cases about the theorem teaching, and evaluate the gains and losings of these cases using in theorem teaching in order to gain some useful insight.The research is theoretical and empirical studies complement each other and the combination of qualitative and quantitative methods.And then we obtain teaching mode and suggestions of mathematical theorem in the perspective of TPACK.Based on the above ideas, this research focuses on the following seven aspects.Chapter 1:Introduction. This part describes the background, purpose,issues and significance of the research.Chapter 2:Literature Review. First, this part reviews the history of TPACK theory, then roughly analyzes current research about TPACK theory. Finally, this part introduces the traditional teaching of mathematical theorems and the teaching in the perspective of TPACK. They provide strongly support for the angle of case analysis and the purpose of the survey.Chapter 3:Research design. The research design mainly from the two aspects of theoretical research and empirical research. The theory study design mainly expound research methods、ideas and analysis framework. And empirical Research design mainly clarify research methods、objects and questionnaire design.Chapter 4:Empirical research.Empirical research.The research bases on the empirical research design and unfold a questionnaire survey in high school students,then add up and analyze the results of questionnaire.The purpose of the survey are as follows.Firstly,we can learn Student study attitudes, difficulties and methods.Secondly,we can learn teachers’ teaching situation.Finally,we can learn students’ attitudes to the use of information technology in the classroom.And these can lay the foundation for the effective integration of information technology.Chapter 5:Mathematical theorems teaching case studies in the perspective of TPACK. Base on the TPACK theory and technology mapping idea,the research use case analysis and integrate information technology as a starting point,four teaching mathematical theorems were analyzed and compared,and obtain some inspiration about how to integrate IT in mathematical theorems teaching.Chapter 6:Teaching mode and suggestions of mathematical theorem in the perspective of TPACK. Based on the above case studies and survey research,we can obtain teaching mode of mathematical theorem and Put forward three proposals about theorem teaching.Chapter 7:Conclusion. It summarizes the results of this study, also proposes the deficiency of this study and looks ahead the prospect of future research.