An empirical taxonomy of problem posing processes

ZDM - International Journal on Mathematics Education

Volumn 37, Issue 3, 2005, Pages 149-158

  Christou, Constantinos ^a   Mousoulides, Nicholas ^a   Pittalis, Marios ^a   Pitta Pantazi, Demetra ^a   Sriraman, Bharath ^b  

^a UNIVERSITY OF CYPRUS   (Cyprus)

^b UNIVERSITY OF MONTANA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955483703     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/s11858-005-0004-6     Document Type: Article

References (30)

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.
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.
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.
5. th 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.
8. st 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.
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.
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. Leung, S.K. (1996): Problem posing as assessment: reflections and reconstructions. In: The Mathematics Educator 1, p. 159-171.
15. 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.
16. 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.
17. th Conference of the International Group for the Psychology of Mathematics Education. Vol. 3. Tsukuba, Japan, 1993, p. 41-47.
18. Marcoulides, G. A.; Schumacker, R. E. (1996): Advanced structural equation modelling: Issues and techniques. - NJ: Lawrence Erlbaum Associates.
19. Marshall, S. (1995): Schemas in problems solving. - Cambridge University Press.
20. Mestre, P. J. (2002): Probing adults' conceptual understanding and transfer of learning via problem posing. In: Applied Developmental Psychology 23, p. 9-50.
21. Muthen, L. K.; Muthen, B. O. (2004): Mplus User's Guide. Third Edition. - Los Angeles, CA: Muthen & Muthen.
22. National Council of Teachers of Mathematics (2000): Principles and standards for school mathematics. - Reston: Va, NCTM.
23. Root-Bernstein, R. (2003): The role of flexibility in innovation. In: L.V. Shavinina (Ed.). The International Handbook of Innovation (Chp.10). Pergamon Press.
24. Silver, E. A. (1994): On mathematical problem posing. In: For the Learning of Mathematics 14(No.1), p. 19-28.
25. 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.
26. Silver, E.A. (1995): The nature and use of open problems in mathematics education: mathematical and pedagogical perspectives. In: International Reviews on Mathematical Education 27, p. 67-72.
27. Sriraman, B (2002): How do mathematically gifted students abstract and generalize mathematical concepts. In: NAGC 2002 Research Briefs 16, p. 83-87.
28. 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.
29. 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.
30. Winograd, K. (1991): Writing, solving, and sharing original math story problems: Case Studies of Fifth Grade Children's Cognitive Behavior. - Paper presented at the annual meeting of the American Educational Research Association, Chicago.