| Askew, M., Brown, M., Rhodes, V., Johnson, D. & Wiliam, D. (1997). Effective teachers of numeracy. King's College: London. |
| Baroody, A. J. (1990). How and when should place value concepts be taught? Journal for Research in Mathematics Education, 21 (4), 281-286. |
| Belhuizen, M. & Anghileri, J. (1998). Mental strategies and materials or models for addition and subtraction up to 100 in Dutch second grades. Journal for Research in Mathematics Education, 24 (4), 294-323. |
| Bell, G. (1990). Language and counting: some recent results. Mathematics Education Research Journal, 2, 1, 1-14. |
| Bogdan, R. & Biklen, S. (1998). Qualitative research for education: An introduction to theory and methods, (3rd Edition). Boston: Allyn & Bacon. |
| Bowers, J. (1999). The evolution of mathematical practices: a case study. Cognition and Instruction, 17 (1), 25-67. |
| Bowers, J. & Nickerson, S. (2000). Identifying cyclic patterns of interaction to study individual and collective learning. Mathematics Thinking and Learning, 3 ( 1), 1-29. |
| Carpenter, T. P., Fennema, E., & Franke, M. L. (1996). Cognitively guided instruction: a knowledge base for reform in primary mathematics instruction. The Elementary School Journal, 97 (1), 3-21. |
| Christiansen, C. A. & Cooper, T. J. (1992). The role of cognitive strategies in the transition from counting to retrieval of basic addition. British Educational Research Journal, 18 (1), 37-45. |
| Claxton, G. (1997). Hare brain, tortoise mind. London: Fourth Estate. |
| Clay, M. (2001). Change over time. Auckland: Heinemann. |
| Cobb, P. & Boufi, A. (1997). Reflective discourse and collective reflection. Journal for Research in Mathematics Education, 28 (3), 258-277. |
| Cobb, P. & McClain, K. (2002). Supporting students learning of significant mathematics ideas. In G. Wells & G. Claxton, (Eds.). Learning for life in the 21st century, (pp. 154-167 ). Oxford: Blackwell. |
| Cobb, P. & Wheatley, G. (1988). Children's initial understandings of ten. Focus on Learning Problems in Mathematics,10 (3), 1-28. |
| Cotter, J. (2000). Using language and visualisation to teach place value. Teaching Children Mathematics, 7 (2), 108-114. |
| Faire, M. (1990). Understanding place value and learning the decomposition method for subtraction. Science and Mathematics Education Papers, Centre for Science and Mathematics Education Research, University of Waikato, 1990. |
| Fuson, K .C., Wearne, D., Hiebert, J. C., Murray, H. G., Human, P. G., Olivier, A. I., Carpenter, T. P. and Fennema, E. (1997). Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction. Journal for Research in Mathematics Education 28, (2), 130 -162. |
| Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22 (3), 170-218. |
| Guskey, T. R. & Huberman, M. (Eds.). (1995). Professional development in education: New paradigms and practices. London: Teachers' College, Columbia University. |
| Haskell, R. (2001). Transfer of learning. London : Academic Press. |
| Higgins, J. (2001). Developing numeracy: Understanding place value. Final report to the Ministry of Education. Wellington: Research Division. |
| Jones, G. A., Thornton, C. A., Putt, I.A., Hill, K. M., Mogill, A.T., Rich, B. S. & Van Zoest, L.R. (1996). Multi-digit number sense: a framework for instruction and assessment. Journal for Research in Mathematics Education, 27 (3), 310-336. |
| Kamii, C. (1986). Place value: an explanation of its difficulties and educational implications for the primary grades. Journal for Early Childhood Education,1 (2), 75-86. |
| Kvale, S.(1996). Interviews: An introduction to qualitative research interviewing. Thousand Oaks, CA : SAGE. |
| McClain, K. & Cobb, P. (2001). An analysis of the development of sociomathematical norms in one first grade classroom. Journal of Mathematics Education, 32 (3), 235-285. |
| Mergel,G. (1998). Instructional design and learning theory. University of Saskatchewan, Canada. Retrieved 11 June 2003 from the World Wide Web: www.cudenver.edu/~mryder/itc |
| Ministry of Education, (1995). Implementing mathematical processes in Mathematics in the New Zealand Curriculum. Wellington: Learning Media. |
| Ministry of Education (1992). Mathematics in the New Zealand Curriculum. Wellington: Learning Media. |
| Ministry of Education (2003). The Number Framework, Book 1. Numeracy Professional Development Projects 2003. Wellington: Ministry of Education. |
| National Educational Monitoring Project (2001). National Educational Monitoring Project Report: Mathematics. Educational Assessment Research Unit, University of Otago. |
| Nash, R. (2002). Family resources and reading: literacy practices, cognition and school success. In S. McNaughton, (Ed.), Meeting of minds, Wellington: Learning Media. |
| Pirie, S. & Kieran, T. (1994). Beyond metaphor: formalising in mathematical understanding within constructivist environments. For the Learning of Mathematics, 14 (1), 39-43. |
| Ross, S. (1989). Parts, wholes and place value: A developmental view. Arithmetic Teacher, 36 (6), 47-51. |
| Ross, S. (1995). Place value: Problem-solving and written assessment using digit-correspondence tasks. Sunflower, Elisa (ED389624). (ERIC Document Reproduction Service, No. 389624) |
| Ross, S. (2002). Place value: Problem-solving and written assessment. Teaching Children Mathematics, 8 (7), 419-425. |
| Rumelhart, D. E. (1994). Toward an instructional model of reading. In R. B. Ruddell., M. R. Ruddell & H. Singer, (Eds.). Theoretical models and processes of reading. (4th Ed.). Newark NJ: International Reading Association. |
| Schnorr, R. F. (1990). “Peter? He comes and goes…” First graders' perspectives on a part-time mainstream student. Journal of the Association for Persons with Severe Handicaps, 15 (4), 231-240. |
| Silverman, D. (2001). Interpreting qualitative data. (2nd Edition). London: SAGE. |
| Steffe,L. P. & Cobb, P. (1988). Construction of arithmetic meanings and strategies. New York: Springer-Verlag. |
| Thomas,G.K. & Ward,J. (2002). An evaluation of the Early Numeracy Project: exploring issues in mathematics education. Ministry of Education: Wellington. |
| Thomas, N. & Mulligan, J. (2001). Children's Understanding of the Number System. In J. M. Truran & K. M. Truran, (Eds.), Making the Difference. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia Incorporated (22nd, Adelaide, South Australia, July 4-7, 1999). (pp. 477 - 484) Mathematics Education Research Group of Australasia. |
| Thompson, I, (2000). Teaching place value in the UK: time for a reappraisal? Educational Review, 56 (3), 291-299. |
| Tolich, M. & Davidson, C. (1999). An introduction to qualitative research in New Zealand. Melbourne: Oxford University Press. |
| Wright, R. J., Martland, J., Stafford, A. K. and Stanger, G. (2002). Teaching number. London: Paul Chapman. |
| Young-Loveridge, J. (1998). The development of place value understanding. in Else, A & Visser, A. Exploring issues in mathematics education: proceedings of a research seminar on mathematics education (Year 0-6 students) held at the Ministry of Education on 12 June 1998, Research & Curriculum Divisions, Ministry of Education, 1999. |
Young-Loveridge a Decile 1 school. Paper presented at NZARE conference,
6-8 December, 2001., J. (2001). The use of part-whole strategies
by Year 5 and 6 children at |
