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An exploratory framework for handling the complexity of mathematical problem posing in small groups

Kontorovich, Igor, Koichu, Boris, Leikin, Roza, Berman, Avi·2012·The Journal of Mathematical Behavior
DOI 10.1016/j.jmathb.2011.11.002
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Research works printed but not linked: 26

  1. Brousseau, 2005, Didactical handling of students’ reasoning processes in problem solving situations, Educational Studies in Mathematics, 59, 13, 10.1007/s10649-005-2532-y · doi:10.1007/s10649-005-2532-y
  2. Chiappe, 2003, Aptness is more important than comprehensibility in preference for metaphors and similes, Poetics, 31, 51, 10.1016/S0304-422X(03)00003-2 · doi:10.1016/s0304-422x(03)00003-2
  3. Christou, 2005, An empirical taxonomy of problem posing processes, ZDM – The International Journal on Mathematics Education, 37, 149, 10.1007/s11858-005-0004-6 · DOI · Paper page
  4. Cifarelli, 2005, The evolution of mathematical explorations in open ended problem solving situations, Journal of Mathematical Behavior, 24, 302, 10.1016/j.jmathb.2005.09.007 · DOI
  5. Cobb, 1992, A constructivist alternative to the representational view of mind in mathematics education, Journal for Research in Mathematics Education, 23, 2, 10.2307/749161 · DOI · Paper page
  6. Crespo, 2008, What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems, Journal of Mathematics Teacher Education, 11, 395, 10.1007/s10857-008-9081-0 · DOI · Paper page
  7. Ellerton, 1986, Children's made-up mathematics problem: A new perspective on talented mathematicians, Educational Studies in Mathematics, 17, 261, 10.1007/BF00305073 · DOI · Paper page
  8. 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
  9. Goldin, 1998, Representational systems, learning, and problem solving in mathematics, Journal of Mathematical Behavior, 17, 137, 10.1016/S0364-0213(99)80056-1 · DOI · Paper page
  10. Harel, 2010, An operational definition of learning, The Journal of Mathematical Behavior, 29, 115, 10.1016/j.jmathb.2010.06.002 · DOI
  11. Harel, 2006, Algebra teachers’ ways of thinking characterizing the mental act of problem posing, Vol. 3, 241
  12. Harel, 1991, The general, the abstract, and the generic in advanced mathematics, For the Learning of Mathematics, 11, 38
  13. Koichu, 2007, Heuristic literacy development and its relation to mathematical achievements of middle school students, Instructional Science, 35, 99, 10.1007/s11251-006-9004-3 · DOI
  14. Kontorovich, 2009, Towards a comprehensive framework of mathematical problem posing, Vol. 3, 401
  15. Lavy, 2003, Problem posing via what if not? strategy in solid geometry – A case study, The Journal of Mathematical Behavior, 22, 369, 10.1016/j.jmathb.2003.09.007 · DOI · Paper page
  16. Leikin, 2005, Qualities of professional dialog: Connecting graduate research on teaching and the undergraduate teachers’ program, International Journal of Mathematical Education in Science and Technology, 36, 237
  17. Leung, 1997, The role of task format, mathematical knowledge, and creative thinking on the arithmetic problems posing of prospective elementary school teachers, Mathematics Education Research Journal, 9, 5, 10.1007/BF03217299 · DOI · Paper page
  18. Lowrie, 2002, Young children posing problems: The influence of teacher intervention on the type of problems children pose, Mathematics Education Research Journal, 14, 87, 10.1007/BF03217355 · DOI · Paper page
  19. Mamona-Downs, 2005, The identity of problem solving, Journal of Mathematical Behavior, 24, 385, 10.1016/j.jmathb.2005.09.011 · DOI
  20. Schoenfeld, 1993, Learning: The microgenetic analysis of one student's evolving understanding of a complex subject matter domain, Vol. 4, 55
  21. Silver, 1994, On mathematical problem posing, For the Learning of Mathematics, 14, 19
  22. Silver, 1996, Posing mathematical problems: An exploratory study, Journal for Research in Mathematics Education, 27, 293, 10.2307/749366 · doi:10.2307/749366
  23. Singer, 2009, Problem posing in mathematics learning: Establishing a theoretical base for research, Vol. 1, 229
  24. Sternberg, 1998, Abilities and forms of developing expertise, Educational Researcher, 27, 11, 10.3102/0013189X027003011 · doi:10.3102/0013189x027003011 · Paper page
  25. Sternberg, 2006, The nature of creativity, Creativity Research Journal, 18, 87, 10.1207/s15326934crj1801_10 · DOI · Paper page
  26. Toluk-Uçar, 2009, Developing pre-service teachers understanding of fractions through problem posing, Teaching and Teacher Education, 25, 166, 10.1016/j.tate.2008.08.003 · DOI · Paper page

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Metadata

Authors
Kontorovich, I., Koichu, B., Leikin, R., & Berman, A.
Venue
The Journal of Mathematical Behavior
Publisher
Elsevier BV
Published
2012-03
Volume
31
Issue
1
Pages
149-161
ISSN
0732-3123
DOI
10.1016/j.jmathb.2011.11.002
Cited by
84
References
0
Language
en
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)

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CoChat. (2026). Citation check: An exploratory framework for handling the complexity of mathematical problem posing in small groups. https://app.cochat.ai/papers/10.1016/j.jmathb.2011.11.002
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Kontorovich, I., Koichu, B., Leikin, R., & Berman, A. (2012). An exploratory framework for handling the complexity of mathematical problem posing in small groups. The Journal of Mathematical Behavior. https://doi.org/10.1016/j.jmathb.2011.11.002

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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.