Anthony,
G. & Walshaw, M. (2003a). Pizza for dinner: “How much” or “how many”?
In L. Bragg, C. Campbell, G. Herbert & J. Mousley (Eds.), MERINO
(Proceedings of the 26th annual conference of the Mathematics Education
Research Group of Australasia, Auckland, pp. 8087 ). Melbourne:
MERGA. 
Anthony,
G. & Walshaw, M. (2003b). Dividing up the pizza? A context for assessing
fractions. In A. Gilmore, S. Lovett & C. van Hasselt (Eds.), NEMP
Probe Study findings 2003 (p. 11). Wellington: Ministry of Education. 
Boaler,
J. (1993). The role of contexts in the mathematics classroom: Do they
make mathematics more “real”? For the Learning of Mathematics,
13(2), 1217. 
Cooper,
B. & Dunne, M. (2000). Assessing children's mathematical knowledge:
Social class, sex and problemsolving. Buckingham: Open University
Press. 
Crooks,
T. & Flockton, L. (2002). Mathematics: Assessment results 2001.
National Education Monitoring Report 23. Dunedin: Education Assessment
Research Unit. 
Eley,
L. & Caygill, R. (2002). One test suits all? An examination of differing
assessment task formats. New Zealand Journal of Educational Studies,
37(1), 2738. 
Eley,
L. & Caygill, R. (2003). The effect of task format on student achievement.
In A. Gilmore, S. Lovett & C. van Hasselt (Eds.), NEMP Probe Study
findings 2003 (p. 26). Wellington: Ministry of Education. 
Flockton,
L. & Crooks, T. (1998). Mathematics: Assessment results 1997.
National Education Monitoring Report 9. Dunedin: Education Assessment
Research Unit. 
Flockton,
L., Crooks, T., Smith, J. & Smith, L. F. (2006). Mathematics:
Assessment results 2005. National Education Monitoring Report
37. Dunedin: Education Assessment Research Unit. 
Gray,
E. M. (1991). An analysis of diverging approaches to simple arithmetic:
Preference and its consequences. Educational Studies in Mathematics,
22(6), 551574. 
Gray,
E. & Pitta, D. (1996). Number processing: Qualitative differences
in thinking and role of imagery. In L. Puig & A. Gutiérrez (Eds.),
Proceedings of the 20th annual meeting of the International Group
for the Psychology of Mathematics Education, (Vol 3, pp. 3542).
Valencia, Spain: PME. 
Hart,
K. M. (1981). Children's understanding of mathematics: 1116.
London: John Murray. 
Irwin,
K. C. (1999). Difficulties with decimals and using everyday knowledge
to overcome them. Set: Research information for teachers,
2, 14. 
Johnson,
D. C. (1989). Children's mathematical frameworks 813: A
study of classroom teaching. Windsor: NFERNelson. 
Maurer,
S. B. (1987). New knowledge about errors and new views about learners:
What they mean to educators and more educators would like to know.
In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education
(pp. 165187). Hillsdale, NJ: Lawrence Erlbaum Associates. 
Moloney,
K. & Stacey, K. (1996). Understanding decimals. The Australian
Mathematics Teacher, 52(1), 48. 
Sowder,
J. T. (1988). Mental computation and number comparison: Their roles
in the development of number sense and computational estimation. In
J. Hiebert & M. Behr (Eds.), Number concepts and operations in
the middle grades (pp. 182197). Reston, VA: National Council
of Teachers of Mathematics. 
Steinle,
V. & Stacey, K. (2001). Visible and invisible zeros: Sources of confusion
in decimal notation. In J. Bobis, B. Perry & M. Mitchelmore (Eds.),
Numeracy and beyond (Proceedings of the 24th annual conference
of the Mathematics Education Research Group of Australasia, Sydney,
pp. 434441). Sydney: MERGA. 
Sullivan,
P., Zevenbergen, R. & Mousley, J. (2002). Contexts in mathematics
teaching: Snakes or ladders? In B. Barton, K. C. Irwin, M. Pfannkuch,
& M. O. J. Thomas (Eds.), Mathematics Education in the South Pacific
(Proceedings of the 25th annual conference of the Mathematics Education
Research Group of Australasia, Auckland, pp. 649656). Auckland: MERGA.

Walls,
F. (2004). The New Zealand Numeracy Projects: Redefining mathematics
for the 21st Century? New Zealand Mathematics Magazine, 41(2),
2143. 
Zevenbergen,
R. (2000). “Cracking the code” of mathematics classrooms: School success
as a function of linguistic, social and cultural background. In J.
Boaler (Ed.), Multiple perspectives on mathematics teaching and
learning (pp. 201223). Westport, CT: Ablex Publishing.

