The DOI matches its Crossref record; 119 of the 123 references it cites were found in a registry or an index, and 2 are not checked yet.
Empirical research on problem solving and problem posing: a look at the state of the art
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Citations
Cites
(1980) · Medical Entomology and Zoology · Cited by 7,534
Handbook of research on mathematics teaching and learning
(1992) · Choice Reviews Online · doi:10.5860/choice.30-2122 · Cited by 6,121
Dewey, J. (1910) · D C Heath eBooks · doi:10.1037/10903-000 · Cited by 3,998
Guilford, J. P. (1950) · American Psychologist · doi:10.1037/h0063487 · Cited by 3,588
Second Handbook of Research on Mathematics Teaching and Learning.
Lester, F. (2007) · Cited by 3,090
Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics
Schoenfeld, A. H. (2006) · Handbook of Research on Mathematics Teaching and Learning · doi:10.1108/978-1-60752-874-620251019 · Cited by 2,785
Mathematical Problem Solving: Current Themes, Trends, and Research
(2019) · ICME-13 Monographs · doi:10.1007/978-3-030-10472-6 · Cited by 2,696
Pólya, G. (1945) · Cited by 2,602
(1985) · Elsevier eBooks · doi:10.1016/c2013-0-05012-8 · Cited by 1,934
How to Solve It: A New Aspect of Mathematical Method
Polya, G. (1945) · Princeton University Press eBooks · doi:10.1515/9781400828678 · Cited by 1,652
Research works printed but not linked: 15
- Cai, J. (2003a). What research tells us about teaching mathematics through problem solving. In F. Lester (Ed.), Research and issues in teaching mathematics through problem solving. National Council of Teachers of Mathematics.
- Cai, J. (2010). Helping students becoming successful problem solvers. In D. V. Lambdin & F. K. Lester (Eds.), Teaching and learning mathematics: Translating research to the elementary classroom (pp. 9–14). NCTM.
- Cai, J., Hwang, S., Melville, M. & Robson, V. (in press). Theories for teaching and teaching for theories: Artifacts as tangible entities for storing and improving professional knowledge for teaching. In A. Praetorius & C. Y. Charalambous (Eds.), Theorizing teaching: Bringing together expert perspectives to move the field forward. Springer.
- Dahl, H., Klemp, T., & Nilssen, V. (2018). Collaborative talk in mathematics—Contrasting examples from third graders Education 3–13. International Journal of Primary, Elementary and Early Years Education, 46(5), 599–611.
- Kilpatrick, J. (1978). Variables and methodologies in research on problem solving. In Hatfield & D. A. Bradbard (Eds.), Mathematical problem solving: From a research (pp. 7–20). ERIC: Columbus.
- Liljedahl, P., & Santos-Trigo, M. (Eds.). (2019). Mathematical problem solving: Current themes, trends, and research. Springer.
- Liljedahl, P., Santos-Trigo, M., Malaspina Jurado, U., & Bruder, R. (Eds.). (2016). Problem solving in mathematics education. Springer.
- National Council of Teachers of Mathematics (NCTM). (1991). Professional standard for teaching mathematics. Author.
- National Council of Teachers of Mathematics. (1989). Principles and standards for school mathematics. Author.
- Rasmussen, C., Yackel, E., & King, K. (2003). Social and sociomathematical norms in mathematics classrooms. In F. Lester (Ed.), Teaching mathematics through problem solving: Grade (pp. 6–12). Author.
- Schoenfeld, A. (1985). Mathematical problem solving. Academic Press.
- Schoenfeld, A. (1987). What’s all the fuss about metacognition? In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 189–215). Lawrence Erlbaum Associates.
- Silver, E. (Ed.). (1985). Teaching and learning mathematical problem solving: Multiple research perspectives. Erlbaum.
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- Weber, K., & Leikin, R. (2016). Problem solving and problem posing. In A. Gutierez, G. Leder, & P. Boero (Eds.), 2nd Handbook on the psychology of mathematics education (pp. 353–382). Sense Publishers.
Cited by
Santos‐Trigo, M. (2024) · ZDM · doi:10.1007/s11858-024-01578-8 · Cited by 207
Schorcht, S., Buchholtz, N. F., & Baumanns, L. (2024) · Frontiers in Education · doi:10.3389/feduc.2024.1386075 · Cited by 92
Säfström, A. I., Lithner, J., Palm, T., Palmberg, B., Sidenvall, J., Andersson, C., Boström, E., & Granberg, C. (2023) · Educational Studies in Mathematics · doi:10.1007/s10649-023-10278-1 · Cited by 63
Impact of prompts on students’ mathematical problem posing
Cai, J., Ran, H., Hwang, S., Ma, Y., Han, J., & Muirhead, F. (2023) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2023.101087 · Cited by 36
Self-citationEnhancing 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
Metadata
- Authors
- Liljedahl, P., & Cai, J.
- Affiliations
- Simon Fraser University (CA)
- University of Delaware (US)
- Corresponding author
- Liljedahl, Peter
- Venue
- ZDM – Mathematics Education
- Published
- 2021-07-01
- Volume
- 53
- Issue
- 4
- Pages
- 723-735
- ISSN
- 1615-679X (ISSN-L)
- 1863-9690
- 1863-9704
- OpenAlex
- W3183375023
- Semantic Scholar
- ad24d615d4f91d7882267a03b367bfdc9de5b924
- Cited by
- 171
- References
- 123
- Citations by year
- 2026: 46 · 2025: 41 · 2024: 36 · 2023: 35 · 2022: 13
- FWCI
- 26.53
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
- Locations
- ZDM (publishedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Pedagogy
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Education › Problem and Project Based Learning
- Keywords
- mathematical problem solving, mathematical problem posing
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- The paper
- Liljedahl, P., & Cai, J. (2021). Empirical research on problem solving and problem posing: a look at the state of the art. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-021-01291-w
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.
