A Study On The Method Of Permeating Mathematical Thinking In The Teaching Of Mathematical Concepts In Senior High School

For middle school students, many mathematics concepts are dynamic integrations of knowledge and thought and method. It means we should fully found the thoughts and methods existed in the mathematical concept teaching. The national standards of high school math(for trial) has a stipulation which says, "High school mathematics teaching should trace its source, make clear of its process and essential. And mathematics classes should not only focus on strictness of its reasoning but also rely on reasonable inference to cultivate students’ flexibility of thinking, help them to actively explore the process of mathematical concepts and conclusions and experience the contained mathematical thought and method."This thesis is based on many former studies and associated with my own teaching practice, which mainly focuses on teaching practice of mathematical thought and method infiltrated in high school concept teaching. It is made up of five parts and the main contents of each part are presented as follows. Part one states the background information and basic theories of the research, including summary of mathematical thought and method, study on concept teaching of mathematic and common mathematical thought method used in high school. Part two makes an introduction of some basic learning theories and illustrates the relationship between concept teaching and mathematical theory and method. Part three is the core of this thesis, which concerns on specific infiltrated strategies and rules in concept teaching. Part four introduces the connection of mathematical method and concept teaching; shows detailed case-analysis and gives ways and statistics of mathematical thought and method; uses facts to illustrate the importance of mathematical thought and method’s infiltration. Part five mainly talks about many solutions for better infiltration of basic mathematical thought and method to middle school’s mathematical concept teaching; gives some suggestions for teachers to highlight thought teaching in class teaching and actively explore mathematic thought and method for teaching.