The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Impact of prompts on students’ mathematical problem posing
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In the citing paper
“teachers can consider many different specific PP prompts that may shape the posed problems in useful ways (Cai et al., 2023).”
From Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change (2025) · cites this paper as Cai et al., 2023
In the citing paper
“A key component of successful P-PBL is teachers' careful and purposeful planning as well as their adaptation and implementation of PP tasks in mathematics classrooms (Cai et al., 2023).”
From Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change (2025) · cites this paper as Cai et al., 2023
In the citing paper
“Prompt wording can have a significant impact on the problems students pose (Cai et al., 2023)”
From Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change (2025) · cites this paper as Cai et al., 2023
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Citations
Cites
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
Self-citationWhat Research Says About Teaching Mathematics Through Problem Posing
Cai, J. (2022) · Éducation et didactique · doi:10.4000/educationdidactique.10642 · Cited by 114
Self-citationThe process of problem posing: development of a descriptive phase model of problem posing
Baumanns, L., & Rott, B. (2022) · Educational Studies in Mathematics · doi:10.1007/s10649-021-10136-y · Cited by 81
Preservice teachers’ mathematical understanding exhibited in problem posing and problem solving
Yao, Y., Hwang, S., & Cai, J. (2021) · ZDM – Mathematics Education · doi:10.1007/s11858-021-01277-8 · Cited by 78
Self-citation
Research works printed but not linked: 21
- Arnholt, 2007, Statistics: The art and science of learning from data, The American Statistician, 61, 181, 10.1198/000313007X190808 · DOI · Paper page
- Cai, 1998, An investigation of US and Chinese students’ mathematical problem posing and problem solving, Mathematics Education Research Journal, 10, 37, 10.1007/BF03217121 · DOI · Paper page
- Cai, 2005, Exploring mathematical exploration: How two college students formulated and solved their own mathematical problems, Focus on Learning Problems in Mathematics, 27, 43
- Cai, 2002, Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing, The Journal of Mathematical Behavior, 21, 401, 10.1016/S0732-3123(02)00142-6 · DOI · Paper page
- Cai, 2003, A perspective for examining the link between problem posing and problem solving, International Group for the Psychology of Mathematics Education, 3, 103
- Cai, 2020, Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research, International Journal of Educational Research, 102, 101391, 10.1016/j.ijer.2019.01.001 · DOI · Paper page
- Cai, 2020, Affect in mathematical problem posing: Conceptualization, advances, and future directions for research, Educational Studies in Mathematics, 105, 287, 10.1007/s10649-020-10008-x · DOI · Paper page
- Cai, 2013, Mathematical problem posing as a measure of curricular effect on students’ learning, Educational Studies in Mathematics, 83, 57, 10.1007/s10649-012-9429-3 · DOI
- Christou, 2005, An empirical taxonomy of problem posing processes, ZDM–Mathematics Education, 37, 149, 10.1007/s11858-005-0004-6 · DOI · Paper page
- Ellerton, 1986, Children’s made-up mathematics problems—A new perspective on talented mathematicians, Educational Studies in Mathematics, 17, 261, 10.1007/BF00305073 · DOI · Paper page
- English, 1998, Children’s problem posing within formal and informal contexts, Journal for Research in Mathematics Education, 29, 83, 10.2307/749719 · DOI · Paper page
- Guo, 2021, Chinese junior high school students’ mathematical problem-posing performance, ZDM–Mathematics Education, 53, 905, 10.1007/s11858-021-01240-7 · DOI
- Leung, 1997, The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of prospective elementary school teachers, Mathematics Education Research Journal, 9, 5, 10.1007/BF03217299 · DOI · Paper page
- Silber, 2017, Pre-service teachers’ free and structured mathematical problem posing, International Journal of Mathematical Education in Science and Technology, 48, 163, 10.1080/0020739X.2016.1232843 · DOI
- Silver, 1994, On mathematical problem posing, For the Learning of Mathematics, 14, 19
- Silver, 1996, An analysis of arithmetic problem posing by middle school students, Journal for Research in Mathematics Education, 27, 521, 10.2307/749846 · DOI · Paper page
- Singer, 2013, Problem-posing research in mathematics education: New questions and directions, Educational Studies in Mathematics, 83, 1, 10.1007/s10649-013-9478-2 · DOI · Paper page
- Stickles, 2011, An analysis of secondary and middle school teachers’ mathematical problem posing, Investigations in Mathematics Learning, 3, 1, 10.1080/24727466.2011.11790301 · DOI · Paper page
- Stoyanova, 1996, A framework for research into students’ problem posing in school mathematics, Technology in Mathematics Education, 4, 518
- Zhang, 2021, Teaching mathematics through problem posing: Insights from an analysis of teaching cases, ZDM–Mathematics Education, 53, 961, 10.1007/s11858-021-01260-3 · DOI · Paper page
- Zhang, 2022, Mathematical problem posing of elementary school students: The impact of task format and its relationship to problem solving, ZDM–Mathematics Education, 54, 497, 10.1007/s11858-021-01324-4 · DOI · Paper page
Cited by
Boom-Cárcamo, E., Buelvas-Gutiérrez, L., Acosta-Oñate, L., & Boom-Cárcamo, D. (2024) · Thinking Skills and Creativity · doi:10.1016/j.tsc.2024.101614 · Cited by 29
Hwang, S., Han, J., Muirhead, F., Brown, A., Melville, M., & Cai, J. (2025) · ZDM – Mathematics Education · doi:10.1007/s11858-025-01694-z · Cited by 14
Self-citation
Metadata
- Authors
- Cai, J., Ran, H., Hwang, S., Ma, Y., Han, J., & Muirhead, F.
- Venue
- The Journal of Mathematical Behavior
- Publisher
- Elsevier BV
- Published
- 2023-12
- Volume
- 72
- Pages
- 101087
- ISSN
- 0732-3123
- Cited by
- 36
- References
- 4
- Language
- en
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- www.elsevier.com/legal/tdmrep-license (tdm)
- www.elsevier.com/open-access/userlicense/1.0/ (am, 282 d)
- doi.org/10.15223/policy-017 (stm-asf)
- doi.org/10.15223/policy-037 (stm-asf)
- doi.org/10.15223/policy-012 (stm-asf)
- doi.org/10.15223/policy-029 (stm-asf)
- doi.org/10.15223/policy-004 (stm-asf)
- Funders
- National Science Foundation (DRL-2101552)
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- CoChat. (2026). Citation check: Impact of prompts on students’ mathematical problem posing. https://app.cochat.ai/papers/10.1016/j.jmathb.2023.101087
- The paper
- Cai, J., Ran, H., Hwang, S., Ma, Y., Han, J., & Muirhead, F. (2023). Impact of prompts on students’ mathematical problem posing. The Journal of Mathematical Behavior. https://doi.org/10.1016/j.jmathb.2023.101087
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.