Give Full Play To The Role Of Mathematical Metacognition In Mathematical Problem Solving

The article, which systematically discusses the relationship between metacognition and mathematical problem solving,can be divided into the following five parts .Part One: Demonstrating the structure, this chapter reveals the essence of metacognition .Part Two: After a brief introduction to the background of problem solving in mathematics education, mathematical problems, their corresponding solutions as well as ways used in teaching are touched in this chapter .Part Three: In this chapter, firstly, the conception of mathematical metacognition is introduced. Then it discusses the structure of methematical thought ?and emphasizes the function of metacognition in problem solving as well. Finally, some practical examples are listed .Part Four: Based on the analysis of survey and research, a tentative conclusion is drawn in this chapter.Part Five: By solving mathematical problems in teaching, this chapter deals with how to develop students' ability of metacognitioa...