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Children's made-up mathematics problems ? a new perspective on talented mathematicians
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“It was based on the notion that it is quite difficult for young children to design appropriate problems without substantial practice (Ellerton, 1986) or guided questions (Lowrie, 2002), and that a prospective teacher would serve both as a role model for designing the problems and as an expert who would provide appropriate support.”
From Approaches to Supporting and Measuring Mathematical Problem Posing: A Systematic Review of Interventions in Mathematics Education (2025) · cites this paper as Ellerton, 1986
In the citing paper
“With a long history, problem solving has gained an important place in curricula, but problem posing has not received enough interest (Ellerton, 1986).”
From A Meta-Analysis of the Impact of Problem Posing Strategies on Students’ Learning of Mathematics (2020) · cites this paper as Ellerton, 1986
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Research works printed but not linked: 15
- Austin J. L. and Howson A. G.: 1979, ?Language and mathematical education?,Educational Studies in Mathematics 10, 161?197. · DOI
- Bell A., Fischbein E. and Greer B.: 1984, ?Choice of operation in verbal arithmetic problems: the effects of number size, problem structure and context?,Educational Studies in Mathematics 15, 129?147. · doi:10.1007/bf00305893
- Bishop A. J.: 1985, ?The social psychology of mathematics education?, in Streefland L. (ed.),Proceedings of the Ninth International Conference for the Psychology of Mathematics Education, Vol II, Noordwijkerhout, The Netherlands, July 22?27, pp. 1?13.
- Creed K.: 1980, ?Gifted children-acceleration as an option?, in Williamson P. (ed.)Learn to Love Mathematics, Mathematical Association of Victoria, Melbourne, pp. 423?427.
- Ellerton N. F.: 1980, ?An extension of Piaget's theory of cognitive development?, Research Report, Victoria University of Wellington, New Zealand. August, 1980.
- Ellerton N. F.: 1985, ?The development of abstract reasoning-results from a large scale mathematical study in Australia and New Zealand?, in Streefland L. (ed.),Proceedings of the Ninth International Conference for the Psychology of Mathematics Education Vol I, Noordwijkerhout, The Netherlands, July 22?27, pp. 204?209.
- Hall N.: 1983, ?Problem solving for children talented in mathematics? in Blane D. (ed.),The Essentials of Mathematics Education, Mathematical Association of Victoria, Melbourne, pp. 440?443.
- Hart K. M. (Editor): 1981,Children's Understanding of Mathematics: 11?16, John Murray, London.
- Jercinovic J.: 1983, ?An enrichment program for students of exceptional capability?, in Shufelt G. and Smart J. R. (eds.),The Agenda in Action, National Council of Teachers of Mathematics, Reston, Virginia, pp. 191?194.
- Kennedy W.: 1985, ?Writing letters to learn Math?,Learning 13, 59, 61.
- Krutetskii V. A.: 1976,The psychology of mathematical abilities in schoolchildren, (translated by Teller, J.; edited by Kilpatrick J. and Wirszup I), The University of Chicago Press, Chicago.
- Richardson, J. and Williamson, P.: 1982, ?Towards autonomy in infant mathematics?,Research in Mathematics Education in Australia, pp. 109?136.
- Ridge H. L. and Renzulli J. S.: 1981, ?Teaching mathematics to the talented and gifted?, in Glennon V. J. (ed.),The Mathematical Education of Exceptional Children and Youth, National Council of Teachers of Mathematics, Reston, Virginia, pp. 190?266.
- Shuard H. and Rothery A.: 1984 (eds.),Children Reading Mathematics, J. Murray, London.
- van den Brink, F. J.: (1985), discussion paper presented to the Working Group ?Principles of Teaching Design?, at the Ninth International Conference for the Psychology of Mathematics Education, Noordwijkerhout, The Netherlands, July 22?27.
Cited by
Empirical research on problem solving and problem posing: a look at the state of the art
Liljedahl, P., & Cai, J. (2021) · ZDM – Mathematics Education · doi:10.1007/s11858-021-01291-w · Cited by 171
Problem-posing research in mathematics education: looking back, looking around, and looking ahead
Silver, E. A. (2013) · Educational Studies in Mathematics · doi:10.1007/s10649-013-9477-3 · Cited by 130
A Meta-Analysis of the Impact of Problem Posing Strategies on Students’ Learning of Mathematics
KUL, Ü., & ÇELİK, S. (2020) · Revista Romaneasca pentru Educatie Multidimensionala · doi:10.18662/rrem/12.3/325 · Cited by 31
Zhang, L., Stylianides, A. J., & Stylianides, G. J. (2025) · International Journal of Science and Mathematics Education · doi:10.1007/s10763-025-10542-1 · Cited by 17
Metadata
- Authors
- Ellerton, N. F.
- Venue
- Educational Studies in Mathematics
- Published
- 1986-08
- Volume
- 17
- Issue
- 3
- Pages
- 261-271
- ISSN
- 0013-1954
- 1573-0816
- Cited by
- 131
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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- Ellerton, N. F. (1986). Children's made-up mathematics problems ? a new perspective on talented mathematicians. Educational Studies in Mathematics. https://doi.org/10.1007/bf00305073
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
