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Young children posing problems: The influence of teacher intervention on the type of problems children pose
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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 Lowrie, 2002
In the citing paper
“Problem posing is considered a developmental tool for critical thinking (English, 1997;Lowrie, 2002) because it can help students extend what they know in order to develop mathematical fluency and engage them in higher-order thinking (NCTM, 2000).”
From The Effects of Problem Posing on Student Mathematical Learning: A Meta-Analysis (2014) · cites this paper as Lowrie, 2002
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Research works printed but not linked: 21
- Brown, A., Ash, D., Rutherford, M., Nakagawa, K., Gordon, A., & Campione, J. (1993). Distributed expertise in the classroom. In G. Salomon (Ed.),Distributed cognitions: Psychological and educational considerations (pp. 188–228). New York: Cambridge University Press.
- English, L. (1997a). Promoting a problem-posing classroom.Teaching Children Mathematics, 3, 172–179. · DOI
- English, L. (1997b). The development of fifth-grade children’s problem-posing abilities.Educational Studies in Mathematics, 34, 183–217. · DOI · Paper page
- English, L. D., & Halford, G. S. (1995).Mathematics education: Models and processes. Hillsdale, NJ: Lawrence Erlbaum.
- Ellerton, N. F. (1986). Children’s made-up mathematical problems: A new perspective on talented mathematicians.Educational Studies in Mathematics, 17, 261–271. · DOI · Paper page
- Kilpatrick, J. (1987). Problem formulating: Where do good problems come from? In A. H. Schoenfeld (Ed.),Cognitive science and mathematics education (pp. 123–147). Hillsdale, NJ: Lawrence Erlbaum.
- Leung, S. K. (1996). Problem posing as assessment: Reflections and reconstructions.The Mathematics Educator, 1(2), 159–171.
- Lowrie, T. (1998). The importance of visual processing in non-routine and novel problem-solving situations. In A. McIntosh & N. Ellerton (Eds.),Research in mathematics education: Some current trends (pp. 186–210). Perth: MASTEC Publication.
- Lowrie, T. (1999). Free Problem posing: Year 3/4 students constructing problems for friends to solve. In J. Truran & K. Truran (Eds.),Making a difference (Proceedings of the 22nd annual conference of the Mathematics Education Research Group of Australasia, Adelaide, pp. 328–335). Sydney: MERGA.
- Lowrie, T. (2000). Grade 1 children in problem-posing contexts: Problem solving prior to completing the task. In J. Bana (Ed.),Mathematics Education Beyond 2000, (Proceedings of the 23rd annual conference of the Mathematics Education Research Group of Australasia, Freemantle, pp. 385–393). Sydney: MERGA.
- Lowrie, T., & Whitland, J. (2000). Problem posing as a tool for learning, planning and assessment in the primary school. In T. Nakahara & M. Koyama (Eds.),Proceedings of the 24th conference of the Psychology of Mathematics Education (pp. 247–254). Hiroshima, Japan: Programme Committee.
- National Council of Teachers of Mathematics. (1989).Curriculum and evaluation standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
- National Council of Teachers of Mathematics. (1991).Professional standards for teaching mathematics. Reston, VA: National Council of Teachers of Mathematics.
- National Council of Teachers of Mathematics. (2000).Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
- N.S.W. Department of Education. (1989).Mathematics K-6 Syllabus. Sydney: N.S.W. Department of Education.
- Silver, E. A. (1994). On mathematical problem solving.For the Learning of Mathematics, 14(1), 19–28.
- Silver, E. A. (1995). The nature and use of open problems in mathematics education: Mathematical and pedagogical perspectives.International Reviews on Mathematical Education, 27(2), 67–72.
- Silver, E. A., Leung, S., & Cai, J. (1995). Generating multiple solutions for a problem: A comparison of the responses of U.S and Japanese.Educational Studies in Mathematics, 28, 35–54. · doi:10.1007/bf01273855
- Silver, E. A., Mamona-Downs, J., Leung, S., & Kenny, P. A. (1996). Posing mathematical problems in a complex environment: An exploratory study.Journal for Research in Mathematics Education, 27(3), 293–309. · doi:10.2307/749366
- Stoyanova, E. (1998). Problem posing in mathematics classrooms. In A. McIntosh, & N. Ellerton (Eds.),Research in mathematics education: A contemporary perspective (pp. 164–185). Perth: MASTEC Publication.
- van den Heuvel-Panhuizen, M., Middleton, J., & Streefland, L (1995). Student-generated problems: Easy and difficult problems on percentage.For the Learning of Mathematics, 15(3), 21–27.
Cited by
The Effects of Problem Posing on Student Mathematical Learning: A Meta-Analysis
Rosli, R., Capraro, M. M., & Capraro, R. M. (2014) · International Education Studies · doi:10.5539/ies.v7n13p227 · Cited by 106
Enhancing mathematical problem posing competence: a meta-analysis of intervention studies
Zhang, L., Stylianides, G. J., & Stylianides, A. J. (2024) · International Journal of STEM Education · doi:10.1186/s40594-024-00507-1 · Cited by 51
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
- Lowrie, T.
- Venue
- Mathematics Education Research Journal
- Published
- 2002-12
- Volume
- 14
- Issue
- 2
- Pages
- 87-98
- ISSN
- 1033-2170
- 2211-050X
- Cited by
- 42
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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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.
