Study On The Development Of 4-6 Year-old Children's Mathematical Metacognition

John Hurley Flavell, Founder of American social cognitive development psychology, put forward the conception of metacognition based on the researching of children's thinking process. He considered that metacognition is the cognition of one's own cognitive behavior. As soon as it is proposed, metacognition attracts the researcher's attention. It turns into another hotspot and focus in the research of cognitive psychology and educational psychology. From now on, research about metamemory, metaimitation, Reading comprehension metacognition and mathematical metacognition related to children has been the rise.This article based on the past researches of metacognition and mathematical metacognition. And it adopt experimental method. For the entry point to addition and subtraction operation, exploring 4-6 years old children's mathematical metacognition development trend, age characteristics and gender differences. Moreover, the article put forward relevant educational suggestion in order to change the mathematics teaching methods and ways of teacher , and promote children's mathematical met cognition development.This research comprehensively study the tree elements of mathematical metacognition (mathematical metacognition knowledge, mathematical metacognition experience, mathematical metacognition monitor) and the dimensions of all the elements, The result indicates that:(1) 4-6 years old children's mathematical metacognition improves with the growth of age, but in the development of its constituent elements there exists special nature of the age. 6-year-old is an important period of the development of mathematical metacognition knowledge and mathematical metacognition monitor, mathematical metacognition experience is experiencing a rapid development at the age of 5.(2) The development of 4-6 years old children's mathematical metacognition experience is better than the development of mathematical metacognition knowledge and mathematical metacognition monitor.(3) Mathematical metacognition experience of 4-6 years old children in the subtraction is significantly better than that in addition, but there is no significant difference between mathematical metacognition knowledge and mathematical metacognition monitor.(4) The development of 4-6 years old Children's mathematical metacognition has no significant gender differences.(5) Although the phenomenon of children optimism becoming less with the growth of age in the test, the process of children's mathematical metacognitive development is always accompanied by optimism.