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References and Research
Research from which this resource is derived (most recent first)
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Stacey, K. (2005). Travelling the road to expertise: A longitudinal study of learning. In Chick, H. L. & Vincent, J. L. (Eds.), Proceedings of the 29th Conference of the International
Group for the Psychology of Mathematics Education (Vol. 1, pp. 19-36). Melbourne: PME.
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Steinle, V. (2004). Changes with Age in Students’ Misconceptions of Decimal Numbers. Unpublished doctoral thesis, University of Melbourne.
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Steinle, V. (2004). Detection and Remediation of Decimal Misconceptions. In B. Tadich, S. Tobias, C. Brew, B. Beatty, & P. Sullivan (Eds.), Towards Excellence in Mathematics (pp. 460-478). Brunswick: The Mathematical Association of Victoria.
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Steinle, V., & Stacey, K. (2004a). A longitudinal study of students' understanding of decimal notation: An overview and refined results. In I. Putt, R. Faragher & M. McLean (Eds.), Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (Vol. 2, pp. 541-48). Townsville: MERGA.
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Steinle, V., & Stacey, K. (2004b). Persistence of decimal misconceptions and readiness to move to expertise. In M.J. Hoines & A.B. Fuglestad (Eds.), Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 225 - 232). Bergen, Norway: PME.
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Stacey, K., Sonenberg, E., Nicholson, A., Boneh, T., & Steinle, V. (2003). A teaching model exploiting cognitive conflict driven by a Bayesian network. In P. Brusilovsky, A. T. Corbett, and F. De Rosis (Eds.), Lecture Notes in Artificial Intelligence (Ninth International Conference on User Modeling UM2003) 2702/2003, 352–362. Springer-Verlag, Heidelberg.
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Steinle, V., & Stacey, K. (2003a). Grade-related trends in the prevalence and persistence of decimal misconceptions. In N.A. Pateman, B.J. Dougherty & J. Zilliox (Eds.), Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 4, pp. 259-266). Honolulu: PME.
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Steinle, V., & Stacey, K. (2002). Further evidence of conceptual difficulties with decimal notation. In B. Barton, K. Irwin, M. Pfannkuch & M. Thomas (Eds.), Proceedings of the 25th annual conference of the Mathematics Education Research Group of Australasia (Vol. 2, pp. 633-640). Auckland: MERGA.
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Stacey, K., Helme, S., Archer, S., & Condon, C. (2001). The effect of epistemic fidelity and accessibility on teaching with physical materials: A comparison of two models for teaching decimal numeration. Educational Studies in Mathematics. 47, 199-221.
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Stacey, K., Helme, S., & Steinle, V. (2001). Confusions between decimals, fractions and negative numbers: A consequence of the mirror as a conceptual metaphor in three different ways. In M. v. d. Heuvel-Panhuizen (Ed.), Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 217-224). Utrecht: PME. (Included here with permission).
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Stacey, K., Helme, S., Steinle, V., Baturo, A., Irwin, K., & Bana, J. (2001). Preservice Teachers' Knowledge of Difficulties in Decimal Numeration. Journal of Mathematics Teacher Education, 4(3), 205-225.
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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 (Vol. 2, pp. 434-441). Sydney: MERGA.
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Helme, S., & Stacey, K. (2000a). Can minimal support for teachers make a difference to students' understanding of decimals? Mathematics Teacher Education and Development. 2, 105 - 120. (Included here with permission).
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Steinle, V., & Stacey, K. (1998a). Students and decimal notation: Do they see what we see? In J. Gough & J. Mousley (Eds.), 35th Annual Conference of the Mathematics Association of Victoria (Vol. 1, pp. 415-422). Melbourne: MAV. (Included here with permission).
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Other references including early research (alphabetically ordered)
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Archer, S., & Condon, C (1999). Linear arithmetic blocks:
A concrete model for teaching decimals, Department of Science
and Mathematics Education, Faculty of Education, University of Melbourne.
| Further Information |
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Asp, G., Chambers, D., Scott, N., Stacey, K., & Steinle, V.
(1997). Using Multimedia for the Teaching
of Decimal Notation. In Clarke, D., Clarkson, P., Gronn, D.,
Horne, M., MacKinlay, M., & McDonough, A. (Eds.), Mathematics - Imagine
the Possibilities. Proceedings of the Thirty-fourth Annual Conference
of the Mathematical Association of Victoria. (pp. 60-67) Melbourne:
Mathematical Association of Victoria. (Included here with permission).
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Abstract | Full-Text |
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Australian Council for Educational Research (ACER) (1964). Primary
School Mathematics: Report of a Conference of Curriculum Officers
of State Education Departments. Held at Melbourne 16-20 March, 1964.
Hawthorn, Vic: ACER.
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Ball, D. (1992). Manipulatives and the reform of math education,
American Educator, Summer, 14-18, 46-47.
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Baturo, A., & Cooper, T (1997). Reunitising hundredths: Prototypic
and non-prototypic representations. In E. Pehkonen (Ed.), Proceedings
of the 21st Conference of the International Group for the Psychology
of Mathematics Education, (Vol. 2 pp. 57-64). Lahti, Finland: PME.
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Behr, M., Harel, G., Post, T., & Lesh, R. (1992). Rational number,
ratio and proportion. In D. Grouws (Ed.), Handbook of research
on mathematics teaching and learning (pp. 296-333). New York:
MacMillan.
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Bell, A. W., Costello, J., & Kuchemann, D.E. (1983). A Review
of Research in Mathematical Education, Part A. Windsor, Berks.:
NFER-Nelson.
|
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Board of Studies (1995). Curriculum and Standards Framework
(Mathematics). Melbourne, Board of Studies (Victoria).
|
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Booker, G., Bond, D., Briggs, J., & Davey, G. (1997). Teaching
Primary Mathematics, Melbourne: Longman.
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Brown, M. (1981). Place value and decimals. In K. Hart (Ed.), Children's
Understanding of Mathematics, 11-16 (pp. 48-65). London: John
Murray.
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Carpenter, T., Corbitt, M., Kepner, H., Lindquist, M., & Reys,
R. (1981). Decimals: Results and implications from national assessment.
Arithmetic Teacher, April, 34-37.
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Chambers, D., Stacey, K., & Steinle, V. (2003). Making Educational Research Findings Accessible for Teacher Education: From Research Project to Multimedia Resource. Society for Information Technology and Teacher Education International Conference 2003 (1), 2865-2872. Albuquerque, NM. [Online]. Available: http://dl.aace.org/12362 |
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Cheeseman, J. (1994). Making sense of decimals - How can calculators
help? In C. Beesey, & D. Rasmussen (Eds.), Mathematics Without
Limits (pp. 169-172). Mathematics Association of Victoria.
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Condon, C., & Hinton, S. (1999). Decimal Dilemmas, Australian
Primary Mathematics Classroom, 4 (3), 26 - 31.
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Condon, C., & Archer, S. (1999). Lesson ideas and activities
for teaching decimals, Department of Science and Mathematics
Education, Faculty of Education, University of Melbourne.
| Further Information |
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Courant, R., & Robbins, H. (1996). What is Mathematics?
An elementary approach to ideas and methods. (2nd edition, revised
by Ian Stewart) London: Oxford University Press.
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Dantzig, T. (1954). Number, the Language of Science; a critical
survey written for the cultured non-mathematician. New York:
Macmillan.
|
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English, L., & Halford, G. (1995). Mathematics Education:
Models and Processes. Mahwah, NJ: Lawrence Erlbaum.
|
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Graeber, A., & Johnson, M. (Eds.), (1991). Insights into Secondary
School Students' Understanding of Mathematics. College Park,
University of Maryland, MD.
|
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Grossman, A. S. (1983). Decimal notation: An important research
finding. Arithmetic Teacher, 30, 32-33.
|
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Hayes, R. L. (1998). Teaching Negative Number Operations.
Doctor of Education Thesis, University of Melbourne.
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Helme, S., & Stacey, K. (2000b). Improved decimal understanding:
Can targeted resources make a difference. In J. Bana & A. Chapman
(Eds.), Mathematics education beyond 2000. (Proceedings of
the 23rd annual conference of the Mathematics Education Research
Group of Australasia, pp 299-306). Fremantle: MERGA.
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Hiebert, J. (1984). Children's mathematical learning: The struggle
to link form and understanding. Elementary School Journal,
84(5), 497-513.
|
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Hiebert, J. (1985). Children's Knowledge of Common and Decimal
Fractions. Education and Urban Society, 17(4), 427-437.
|
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Hiebert, J., Wearne, D., & Taber, S. (1991). Fourth Graders' Gradual
Construction of Decimal Fractions during Instruction Using Different
Physical Representations, The Elementary School Journal,
91 (4), 321-341.
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Irwin, K. (1996). Making Sense of Decimals. In J. Mulligan &
M. Mitchelmore (Eds.) Children's Number Learning (pp. 243
- 257). Adelaide: Australian Association of Mathematics Teachers.
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Irwin, K. (1997). What conflicts help students learn about decimals?
In F. Biddulph & K. Carr (Eds.), Proceedings of Twentieth
Annual Conference of the Mathematics Education Research Group of
Australasia (pp. 247-254). University of Waikato: MERGA.
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Lokan, J., Ford, P., & Greenwood, L. (1996). Maths and Science
on the Line. Australian Junior Secondary Students' Performance in
the Third International Mathematics and Science Study. Australian
Council for Educational Research: Melbourne.
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Lokan, J., Ford, P., & Greenwood, L. (1997). Maths and Science
on the Line. Australian Middle Primary Students' Performance in
the Third International Mathematics and Science Study. Australian
Council for Educational Research: Melbourne.
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MacGregor M., & Moore R. (1991). Teaching Mathematics in the
Multicultural Classroom. Melbourne: University of Melbourne.
Available from Australian Association of Mathematics Teachers.
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Marston, K., & Stacey, K. (2001).
Foundations for Teaching Arithmetic (CD-ROM) Melbourne:
University of Melbourne, Department of Science and Mathematics Education, Faculty of Education.
| Further Information | |
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McIntosh, J., Stacey, K., Tromp, C., & Lightfoot, D. (2000). Designing constructivist computer games for teaching about decimal numbers. In J. Bana & A. Chapman (Eds.), Mathematics Education Beyond 2000. Proceedings of the 23rd annual conference of the Mathematics Education Research Group of Australasia. (pp. 409-416). Fremantle: MERGA. |
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Moloney, K., & Stacey, K. (1996). Understanding Decimals. The
Australian Mathematics Teacher, 52(1), 4-8.
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Moloney, K., & Stacey, K. (1997). Changes with Age in Students'
Conceptions of Decimal Notation. Mathematics Education Research
Journal, 9(1), 25-38.
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Moloney, K. (1994). The Evolution of Concepts of Decimals in
Primary and Secondary Students, Unpublished Master of Education
Thesis, University of Melbourne.
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Mullis, I., Martin, M., Beaton, A., Gonzalez, E., Kelly D., &
Smith, T. (1997). Mathematics Achievement in the Primary School
Years. Boston: CSTEEP, Boston College.
|
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Nesher, P., & Peled, I. (1986). Shifts In Reasoning: The Case
of Extending Number Concepts. Educational Studies In Mathematics,
17, 67-79.
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Peled, I., & Shahbari, J. A. (2003). Improving decimal number conception by transfer from fractions to decimals. In N.A. Pateman, B.J. Dougherty & J. Zilliox (Eds.), Proceedings of the 27th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 4, pp. 1-6). Honolulu: PME. |
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Resnick, L. B., Nesher, P., Leonard, F., Magone, M., Omanson, S.,
& Peled, I. (1989). Conceptual bases of arithmetic errors: The case
of decimal fractions. Journal for Research in Mathematics Education,
20(1), 8-27.
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Sackur-Grisvard, C., & Leonard, F. (1985). Intermediate Cognitive
Organizations in the Process of Learning a Mathematical Concept:
The Order of Positive Decimal Numbers, Cognition and Instruction,
2, (2), 157-174.
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Stacey, K., & Flynn, J. (2003). Evaluating an adaptive computer system for teaching about decimals: Two case studies. In V. Aleven, U. Hoppe, J. Kay, R. Mizoguchi, H. Pain, F. Verdejo, & K. Yacef (Eds.), AI-ED2003 Supplementary Proceedings of the 11th International Conference on Artificial Intelligence in Education, (pp. 454 – 460). Sydney: University of Sydney. Available at http://www.it.usyd.edu.au/~aied/Supp_procs.html#vol8 |
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Stacey, K., & Steinle, V. (1998). Refining the Classification
of Students' Interpretations of Decimal Notation. Hiroshima Journal
of Mathematics Education, 6, 49-70.
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Stacey, K., & Steinle, V. (1999a). A longitudinal study of children's thinking about decimals: A preliminary analysis. In O. Zaslavsky (Ed.), Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education, Vol. 4. pp 233-240. Haifa: PME. (Included here with permission).
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Stacey, K., & Steinle, V. (1999b). Understanding decimals: The path to expertise. In J. M. Truran & K. M. Truran (Eds.), Making the difference. Proceedings of the 22nd Annual Conference of the Mathematics Education Research Group of Australasia (pp. 446-453). Adelaide: MERGA.
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Stacey, K., & Steinle, V. (2005). Relative risk analysis of educational data. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce & A. Roche (Eds.), Building Connections: Research, theory and practice. Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia, (Vol. 2, pp. 696-703). Melbourne: MERGA.
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Stacey, K., Steinle, V., & Moloney, K. (1998). Students' Understanding of Decimals: An Overview.
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Steinle, V., & Stacey, K. (1998b). The incidence of misconceptions of decimal notation amongst students in Grades 5 to 10. In C. Kanes, M. Goos, & E. Warren (Eds.), Teaching Mathematics in New Times. Proceedings of the 21st Annual Conference of the Mathematics Education Research Group of Australasia (Vol. 2, pp. 548-555). Gold Coast, Australia: MERGA. (Included here with permission).
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Steinle, V., & Stacey, K. (2003b). Exploring the right, probing questions to uncover decimal misconceptions. In L. Bragg, C. Campbell, G. Herbert & J. Mousley (Eds.), Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australasia (Vol. 2, pp. 634-641). Geelong: MERGA.
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Steinle, V., & Stacey, K. (2005). Analysing longitudinal data on students' decimal understanding using relative risk and odds ratio. In H.L. Chick & J.L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 4, pp. 217–224). Melbourne: PME.
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Swan, M. (1983a). The Meaning and Use of Decimals (Pilot edition).
Nottingham: Shell Centre for Mathematical Education.
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Swan, M. (1983b). Teaching Decimal Place Value: A Comparative
Study of "Conflict" and "Positive only" Approaches. Nottingham:
Shell Centre for Mathematics Education.
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Thompson, P. (1992). Notations, conventions, and constraints: Contributions
to effective uses of concrete materials in elementary mathematics,
Journal for Research in Mathematics Education, 23(2), 123-147.
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Tromp, C. (1999). Number Between: Making a game of decimal numbers,
Australian Primary Mathematics Classroom, 4(3), 9-11.
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