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An empirical taxonomy of problem posing processes

Christou, Constantinos, Mousoulides, Nicholas, Pittalis, Marios, Pitta-Pantazi, Demetra, Sriraman, Bharath·2005·Zentralblatt für Didaktik der Mathematik
DOI 10.1007/s11858-005-0004-6
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  1. Anderson, J. C.; Gerbing D. W. (1988): Structural equation modelling in practice: A review and recommended two-step approach.—In: Psychological Bulletin 103(No.3), p. 411–423. · DOI · Paper page
  2. Brown, S. I.; Walter, M. (1990): The art of problem posing.—NJ: Lawrence Erlbaum Associates.
  3. Cai, J. (1998): An investigation of U.S. and Chinese students' mathematical problem posing and problem solving.—In: Mathematics Education Research Journal 10(No.1), p. 37–50. · DOI · Paper page
  4. Cai, J.; Hwang, S. (2002). Generalized and generative thinking in U.S. and Chinese students' mathematical problem solving and problem posing.—In: Journal of Mathematical Behavior 21(No.4), p. 401–421. · DOI · Paper page
  5. Cyprus Ministry of Education and Culture (2000): 6th grade math textbooks. Second Edition.—Nicosia: Ministry of Education and Culture.
  6. Ellerton, N. F.; Clarkson, P.C. (1996): Language factors in mathematics teaching.—In: A. J. Bishop, et al. (Eds.), International Handbook of Mathematics Education. Netherlands: Kluwer Academic Publishers.
  7. English, L. D. (1997a): The development of fifth-grade children's problem-posing abilities.—In: Educational Studies in Mathematics 34(No.3), p. 183–217. · DOI · Paper page
  8. English, L. D. (1997b): Development of seventh-grade students' problem posing.—In: E. Pehkonen (Ed.), Proceedings of the 21st Conference of the International Group for the Psychology of Mathematics Education. Vol.2. Lahti, Finland, 1997, p. 241–248.
  9. English, L. D. (1998): Children's problem posing within formal and informal contexts.—In: Journal for Research in Mathematics Education 29(No.1), p. 83–106. · DOI · Paper page
  10. English, L. D. (2003): Problem posing in elementary curriculum. —In: F. Lester & R. Charles (Eds.), Teaching Mathematics through Problem Solving. Reston, Virginia: National Council of Teachers of Mathematics.
  11. English, L.D. (2005): Combinatorics and the development of children's combinatorial reasoning.—In: G.A. Jones (Ed.), Exploring Probability in School: Challenges for teaching and learning. Springer Science and Business Media Inc. p. 121–144. · DOI
  12. Healy, C.C. (1993): Creating miracles: A story of student discovery.—Berkeley, CA: Key Curriculum Press.
  13. Kilpatrick, J. (1987): Problem formulating: Where do good problems come from?—In: A. H. Schoenfeld (Ed.), Cognitive Science and Mathematics Education. NJ: Lawrence Erlbaum Associates, p. 123–147.
  14. Lowrie, T. (1999): Free problem posing: Year 3/4 students constructing problems for friends to solve.—In: J. Truran & K. Truran (Eds.), Making a difference. Panorama, South Australia: Mathematics Education Research Group of Australasia, p. 328–335.
  15. Lowrie, T. (2002): Designing a framework for problem posing: Young children generating open-ended tasks.—In: Contemporary Issues in Early Childhood 3(No.3), p. 354–364. · DOI
  16. Mamona-Downs, J. (1993). On analyzing problem posing.—In: I. Hirabayashi, N. Nohada, K. Shigematsu & F. L. Lin (Eds.), Proceedings of the 17th Conference of the International Group for the Psychology of Mathematics Education. Vol. 3. Tsukuba, Japan, 1993, p. 41–47.
  17. Marcoulides, G. A.; Schumacker, R. E. (1996): Advanced structural equation modelling: Issues and techniques.—NJ: Lawrence Erlbaum Associates.
  18. Marshall, S. (1995): Schemas in problems solving.—Cambridge University Press. · DOI · Paper page
  19. Mestre, P. J. (2002): Probing adults' conceptual understanding and transfer of learning via problem posing.—In: Applied Developmental Psychology 23, p. 9–50. · DOI · Paper page
  20. Muthen, L. K.; Muthen, B. O. (2004): Mplus User's Guide. Third Edition.—Los Angeles, CA: Muthen & Muthen.
  21. National Council of Teachers of Mathematics (2000): Principles and standards for school mathematics.—Reston: Va, NCTM.
  22. Root-Bernstein, R. (2003): The role of flexibility in innovation. —In: L.V. Shavinina (Ed.). The International Handbook of Innovation (Chp. 10). Pergamon Press.
  23. Silver, E. A.; Cai, J. (1996): An analysis of arithmetic problem posing by middle school students.—In: Journal for Research in Mathematics Education 27(No. 5), p. 521–539. · DOI · Paper page
  24. Sriraman, B (2003): Mathematical giftedness, problem solving, and the ability to formulate generalizations.—In: The Journal of Secondary Gifted Education 14(No.3), p. 151–165. · DOI
  25. Stoyanova, E. (1998): Problem posing in mathematics classrooms.—In: A. McIntosh & N. Ellerton (Eds.), Research in Mathematics Education: a contemporary perspective. Edith Cowan University: MASTEC, p. 164–185.

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Metadata

Authors
Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B.
Venue
Zentralblatt für Didaktik der Mathematik
Publisher
Springer Science and Business Media LLC
Published
2005-06
Volume
37
Issue
3
Pages
149-158
ISSN
1615-679X
DOI
10.1007/s11858-005-0004-6
Cited by
117
References
0
Language
en
Licence
www.springer.com/tdm (tdm)

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CoChat. (2026). Citation check: An empirical taxonomy of problem posing processes. https://app.cochat.ai/papers/10.1007/s11858-005-0004-6
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Christou, C., Mousoulides, N., Pittalis, M., Pitta-Pantazi, D., & Sriraman, B. (2005). An empirical taxonomy of problem posing processes. Zentralblatt für Didaktik der Mathematik. https://doi.org/10.1007/s11858-005-0004-6

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