2Carpenter, T., Franke, M., & Levi, L.Thinking Mathematically:Integrating Arithmetic and Algebra in Elementary School [ M ].Portsmouth, NH : Heinemann, 2003.
3National Council of Teachers of Mathematics (NCTM).Curriculum and Evaluation Standards for School Mathematics [ S ].Reston, VA : Author, 2000.
4Irwin,K.and Britt,M. The Algebraic Nature of Students' Numerical Manipulation in the New Zealand Numeracy Project[J].Educational Studies in Mathematics, 2005, (58) : 169-188.
5Jacobs, V., Franke, M., Carpenter, T., Levi, L.& Battey, D. Developing Children' s Algebraic Reasoning [ J ]. Journal for Research in Mathematics Education,2007,38 (3) :258 - 288.
6Australian Curriculum and Reporting Authority (ACARA).The Australian Curriculum : Mathematics [ S ]. Canberra : Author, 2012.
7张丹.小学数学教学策略[M]北京:北京师范大学出版社,2010142.
8Canfield R L,Smith E.G.Number-based expectations and counting in early infancy[].Developmental Psycholo-gy.1996
9Bijeljac-Babic R,Bertoncini J,Mehler,J.How do four-day-old infants categorize multisyllabic utterances[].Developmental Psychobiology.1991
10Uller C,Leslie A M.Assessing the infant counting limit[].theBiennial Meeting of the Society for Research on Child Development.2000