The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Fostering creativity through instruction rich in mathematical problem solving and problem posing
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“Silver (1997) claims that CMT lies in the interplay between problem solving and problem posing and that is 'in this interplay of formulating, attempting to solve, reformulating, and eventually solving a problem that one sees creative activity' (p.76).”
From Multiple Approaches to Problem Posing: Theoretical Considerations Regarding its Definition, Conceptualisation, and Implementation (2022) · cites this paper as Silver (1997)
In the citing paper
“However, students can develop their sense of ownership and share authority and agency in their mathematics classrooms through P-PBL”
From Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change (2025) · cites this paper as Silver, 1997
In the citing paper
“Research has shown that teaching mathematics through problem posing, or problem-posing based learning (P-PBL), is a student-centered instructional approach that can improve students' cognitive and affective aspects of learning.”
From Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change (2025) · cites this paper as Silver, 1997
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Citations
Cites
Development of expertise in mathematical problem solving.
Sweller, J., Mawer, R. F., & Ward, M. R. (1983) · Journal of Experimental Psychology: General · doi:10.1037/0096-3445.112.4.639 · Cited by 258
Research works printed but not linked: 27
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- Getzels, J. W.; Csikszentmihalyi, M. (1976): The creative vision. —New York; Wiley
- Getzels, J. W.; Jackson, P. W. (1962): Creativity and intelligence: Exploration with gifted children.—New York: Wiley
- Ghiselin, B. (Ed.) (1952): The creative process.—New York: Mentor
- Hadamard, J. (1945): The psychology of invention in the mathematical fied.—Princeton, NJ: Princeton University Press
- 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. Columbus, OH: ERIC/SMEAC Clearinghouse (ED 304 315), p. 94–119.
- Hashimoto, Y.; Sawada, T. (1984): Research on the mathematics teaching by developmental treatment of mathematical problems. —In: T. Kawaguchi (Ed.), Proceedings of the ICMI-JSME regional conference on mathematical education. Japan: Japan Society of Mathematical Education, p. 309–313.
- Healy, C. C. (1993): Creating miracles: A story of student discovery. —Berkeley, CA: Key Curriculum Press
- Helson, R. (1983): Creative mathematicians.—In: R. S. Albert (Ed.), Genius and eminence: The social psychology of creativity and exceptional achievement. Oxford Pergamon Press, p. 311–330
- Holyoak, K. J.; Thagard, P. (1995): Mental leaps: Analogy in creative thought.—Cambridge, MA: MIT Press
- Lesh, R. (1981). Applied mathematical problem solving.—In: Educ. Stud. in Math. 12, p. 235–264 · DOI
- Mansfield, R. S.; Busse, T. V. (1981): The psychology of creativity and discovery: Scientists and their work.—Chicago Nelson Hall
- Pollak, H. O. (1987): Cognitive science and mathematics education: A mathematician’s perspective.—In:A. H. Schoenfeld (Ed), Cognitive science and mathematics education. Hillsdale, NJ: Lawrence-Erlbaum Associates.
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- Rothenberg, A. (1979): The emerging goddess.—Chicago: University of Chicago Press
- Schoenfeld, A. H. (1985): Mathematical problem solving.—Orlando, FL: Academic Press
- Shimada, S. (Ed.) (1977): On lessons using open-ended problems in mathematics teachin.—Tokyo: Mizuumishobo
- Silver, E. A.; Kilpatrick, J.; Schlesinger, B. (1990) Thinking through mathematic: Fostering inquiry and communication in mathematics classrooms.—New York: The College Board
- Skinner, P. (1991). What’s your problem? Posing and solving mathematical problems, K-2.—Portsmouth, NH: Heinemann
- Stanic, G. M. A.; Kilpatrick, J. (1988): Historical perspectives on problem solving in the mathematics curriculum.—In: R. I. Charles; E. A. Silver (Eds.), The teaching and assessing of mathematical problem solving. Reston, VA: NCTM, p. 1–22
- Sternberg, R. J. (Ed.) (1988): The nature of creativity: Contemporary psychological perspectives.—New York: Cambridge University Press
- Streefland, L. (1987): Free production of fraction monographs. —In: J. C. Bergeron; N. Herscovics; C. Kieran (Eds.): Proceedings of the Eleventh Annual Meeting of the International Group for the Psychology of Mathematics Education, Volume I.—Montreal: Canada, p. 405–410
- Torrance, E. P. (1966): The Torrance tests of creative thinking: Technical-norms manual.—Princeton, NJ: Personnel Press
- Torrance, E. P. (1974): The Torrance tests of creative thinking: Technical-norms manual.—Bensenville, IL: Scholastic Testing Services
- Torrance, E. P. (1988): The nature of creativity as manifest in its testing.—In: R. J. Sternberg (Ed.). The nature of creativity: Contemporary psychological perspectives.—New York: Cambridge University Press, p. 43–75.
- Weisberg, R. W. (1988): Problem solving and creativity.—In R. J. Sternberg (Ed.), The nature of creativity. New York: Cambridge University Press, p. 148–176.
- Yerushalmy, M.; Chazan, D.; Gordon, M. (1993): Posing problems. One aspect of bringing inquiry into classrooms.—In: J. Schwartz, M. Yerushalmy, B. Wilson (Eds.), The Geometric Supposer: What is it a case of? Hillsdale, NJ: Lawrence Erlbaum Associates, p. 117–142.
Cited by
A research framework for creative and imitative reasoning
Lithner, J. (2008) · Educational Studies in Mathematics · doi:10.1007/s10649-007-9104-2 · Cited by 508
What Research Says About Teaching Mathematics Through Problem Posing
Cai, J. (2022) · Éducation et didactique · doi:10.4000/educationdidactique.10642 · Cited by 114
The 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
Papadopoulos, I., Patsiala, N., Baumanns, L., & Rott, B. (2022) · Center for Educational Policy Studies Journal · doi:10.26529/cepsj.878 · Cited by 39
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
Metadata
- Authors
- Silver, E. A.
- Venue
- Zentralblatt für Didaktik der Mathematik
- Published
- 1997-06
- Volume
- 29
- Issue
- 3
- Pages
- 75-80
- ISSN
- 1615-679X
- Cited by
- 436
- References
- 1
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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