The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of prospective elementary school teachers
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“Researchers have found that engaging in problem posing, which is an advanced mathematical activity, can develop students' mathematical thinking (Henningsen & Stein, 1997), mathematical reasoning (Cai & Hwang, 2002), mathematical knowledge, and creative thinking (Leung & Silver, 1997), all of which are relevant components of mathematical proficiency.”
From Mathematics Teachers’ Subject Matter Knowledge and Pedagogical Content Knowledge in Problem Posing (2018) · cites this paper as Leung & Silver, 1997
In the citing paper
“Results from previous studies indicate and affirm this relation between problem-posing proficiency and mathematical proficiency.”
From Mathematics Teachers’ Subject Matter Knowledge and Pedagogical Content Knowledge in Problem Posing (2018) · cites this paper as Leung & Silver, 1997
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Citations
Cites
Mathematics as an Educational Task
Freudenthal, H. (1972) · doi:10.1007/978-94-010-2903-2 · Cited by 1,336
Research works printed but not linked: 26
- Brown, S. I., & Walter, M. I. (1990).The art of problem posing (2nd edition). Hillsdale, NJ: Lawrence Erlbaum Associates.
- Butts, T. (1980). Posing problems properly. In S. Krulik & R. E. Reys (Eds.),Problem solving in school mathematics (pp. 23–33). Reston, VA: National Council of Teachers of Mathematics.
- Educational Testing Service (1986).The PPST guide. Princeton, NJ: Author.
- Ellertoft, N. F. (1986). Children’s made up mathematics problems— A new perspective on talented mathematicians.Educational Studies in Mathematics, 17, 261–271. · DOI · Paper page
- Getzels, J. W., & Jackson, P. W. (1962).Creativity and intelligence: Exploration with gifted students. New York: John Wiley.
- Goldin, G. A., & McClintock, C. E. (1979).Task variables in mathematical problem solving. Columbus, OH: ERIC Clearinghouse for Science, Mathematics and Environmental Education.
- Gonzales, N. A. (1996). Problem formulation: Insights from student generated questions.School Science and Mathematics, 96(3), 152–157. · DOI
- Greer, B., & McCann, M. (1991). Children’s word problems matching multiplication and division calculations. In F. Furinghetti (Ed.),Proceedings of the Fifteen International Conference for the Psychology of Mathematics (pp. 80–87). Assisi, Italy: Author.
- Guilford, J. P. (1967).The nature of human intelligence. New York: McGraw-Hill.
- Hashimoto, Y. (1987). Classroom practice of problem solving in Japanese elementary schools. In J. Becker & T. Miwa (Eds.),Proceedings of the U.S.-Japan seminar on mathematical problem solving (pp. 94–119). Carbondale, IL: Southern Illinois University.
- Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children.Educational Studies in Mathematics, 18, 59–74. · DOI
- Keil, G. E. (1965). Writing and solving original problems as a means of improving verbal arithmetic problem solving ability.Dissertation Abstracts, 25, 7109–7110. (University microfilms No. 65-2376).
- Krutetskii, V. A. (1976).The psychology of mathematical abilities in school children. Chicago: University of Chicago Press.
- Leung, S. S. (1993). The relation of mathematical knowledge and creative thinking to the mathematical problem posing of prospective elementary school teachers on tasks differing in numerical information content. Unpublished doctoral dissertation, University of Pittsburgh.
- Leung, S. S. (1994). On analyzing problem-posing processes: A study of prospective elementary teachers differing in mathematics knowledge. In J. P. da Ponte & J. F. Matos (Eds.),Proceedings of the 18th International conference of the International Group for the Psychology of Mathematics Education, (pp. 168–175). Lisbon, Portugal: International Group for the Psychology of Mathematics Education.
- Leung, S. S. (1996). Problem Posing as Assessments: Reflections and Re-constructions.The Mathematics Educators, 1 (2), 159–171.
- Leung, S. S. (1997). On the role of creative thinking in problem posing.Zentralbatt fur Didaktik der Mathematik (ZDM), International Review on Mathematical Education, 97(2), 48–52.
- National Council of Teachers of Mathematics (1989).Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
- National Council of Teachers of Mathematics (1991).Professional standards for teaching mathematics. Reston, VA: Author.
- Newell, A., & Simon, H. A. (1972).Human problem solving. Englewood Cliffs, NJ: Prentice Hall.
- Perez, J. A. (1985).Effects of student-generated problems on problem solving performance. Unpublished doctoral dissertation, Teachers College, Columbia University.
- Polya, G. (1945).How to solve it (2nd ed.). New York: Doubleday. · DOI · Paper page
- Silver, E. A. (1994). On mathematical problem posing.For the Learning of Mathematics, 14(1), 19–28.
- Silver, E. A., Mamona, J., Leung, S. S., & Kenney, P. A. (1996). Posing mathematical problems: An exploratory study.Journal for Research in Mathematics Education, 27(3), 293–309. · doi:10.2307/749366
- Torrance, E. P. (1966).Torrance tests of creative thinking: Norms-technical manual. Englewood Cliffs, NJ: Personell Press.
- Winograd, K. (1991).Writing, solving and sharing original math story problems: Case studies in the cognitive behavior of fifth grade children. Unpublished doctoral dissertation, University of Northern Colorado.
Cited by
Embedding game-based problem-solving phase into problem-posing system for mathematics learning
Chang, K.-E., Wu, L.-J., Weng, S.-E., & Sung, Y.-T. (2012) · Computers & Education · doi:10.1016/j.compedu.2011.10.002 · Cited by 253
Mathematics Teachers’ Subject Matter Knowledge and Pedagogical Content Knowledge in Problem Posing
Lee, Y., Capraro, R. M., & Capraro, M. M. (2018) · International Electronic Journal of Mathematics Education · doi:10.12973/iejme/2698 · Cited by 142
What Research Says About Teaching Mathematics Through Problem Posing
Cai, J. (2022) · Éducation et didactique · doi:10.4000/educationdidactique.10642 · Cited by 114
Papadopoulos, I., Patsiala, N., Baumanns, L., & Rott, B. (2022) · Center for Educational Policy Studies Journal · doi:10.26529/cepsj.878 · Cited by 39
Metadata
- Authors
- Leung, S. S., & Silver, E. A.
- Venue
- Mathematics Education Research Journal
- Published
- 1997-05
- Volume
- 9
- Issue
- 1
- Pages
- 5-24
- ISSN
- 1033-2170
- 2211-050X
- Cited by
- 151
- References
- 1
- 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.