2Cai J. Understanding and Representing the Arithmetic Averaging Algorithm: an Analysis and Comparison of US and Chinese Students' Responses [J]. International Journal of Mathematical Education in Science and Technology, 2000, 31(6): 839-855.
3Strauss S, Bichler E. The Development of Children's Concepts of the Arithmetic Average [J]. Journal for Research in Mathematics Education, 1988, 19(1): 64-80.
4Mokros J,Russell S J. Children's Concepts of Average and Representativeness [J]. Journal for Research in Mathematics Education, 1995, 26(1): 20-39.
5Pirie S, Kieren T. Growth in Mathematics Understanding: How Can We Characterize It and How Can We Represent It? [J]. Educational Studies in Mathematics, 1994, 26(2-3): 165-190.
6李士镝.ME:数学教育心理[M].上海:华东师范大学出版社,2001..
7Thom J S, Pirie S. Looking at the Complexity of two Young Children's Understanding of Number [J]. Journal of Mathematical Behavior, 2006, 25(1): 185-195.
8Martin L C. Folding Back and the Dynamical Growth of Mathematical Understanding: Elaborating the Pirie-Kieren Theory [J]. Journal of Mathematical Behavior, 2008, 27(1): 64-85.
