The Summarization Of Today's Theoretical Research Achievements Of Mathematical Metacognition

In the article, I introduced the conception and contents of metacognition first,to gether with its impacts in learning, in light of the theory and practice datum, which relation to metacognition. Aiming for the phenomenon that our traditional teaching takes the ability of an entrance examination for the destination and students are not able to learn. Under guide of metacognitive theory, and consulting experiences acquired in the mathematical subjects, which is about the application and practice of metacognition. I carry out my research on aspects below: teachers' metacognitive level, students' learning interests, learning aim, metacognitive knowledge, metacognitive monitor, problem-solution, ability of learning migration and so on.This article systematically discusses today's theoretical research achievements of mathematical metacognition.And it reveals the importance of mathematical metacognition in the intelligence and ability cultivations of the student.Moreover,the article advances some propositions to cultivate student's metacognition ability.This article includes three parts.The front of this paper will systematically introduce today's theoretical research achievements of metacognition.It will analyse the ability of metacognition and it's important influence on mathematics learning and then conclude the importance of developing the students' ability of metacognition.The millidle of this paper systematically introduce the importance of mathematical metacognition in the ability cultivation of the student.This part discusses the importance of mathematical metacognition the ability of problem solving in mathematics and the learning strategy.The rest of this paper systematically introduce USA's theoretical research achievements of mathematical metacognition.It will use features of metacognition development of the students with learning disabilities and the teaching strategy to carry out the practical examples research.