Teachers Solving Mathematics Problems: Lessons from their Learning Journeys |
Tay, Eng Guan
(National Institute of Education, Nanyang Technological University)
Quek, Khiok Seng (National Institute of Education, Nanyang Technological University) Dindyal, Jaguthsing (National Institute of Education, Nanyang Technological University) Leong, Yew Hoong (National Institute of Education, Nanyang Technological University) Toh, Tin Lam (National Institute of Education, Nanyang Technological University) |
1 | Teong, S. K.; Hedberg, J. G.; Ho, K. F.; Lioe, L. T.; Tiong, J.; Wong, K. Y. & Fang, Y. P. (2009). Developing the repertoire of heuristics for mathematical problem solving: Project 1. Final technical report for project CRP 1/04 JH. |
2 | Toh, T. L.; Quek, K. S.; Leong, Y. H.; Dindyal, J. & Tay, E. G. (2009). Assessment in a problem solving curriculum. In: R. Hunter, B. Bicknell, T. Burgess (Eds.), MERGA 32 Conference Proceedings (pp. 686-690). Wellington, NZ: Massey University. |
3 | Tay, E. G.; Quek, K. S.; Dindyal, J.; Leong, Y. H.; & Toh, T. L. (2011). Teachers Solving Mathematics Problems: Lessons from their Learning Journeys. Proceedings of the 46th Korean National Meeting of Mathematics Education held at Soongsil University, Dongjak-gu, Seoul, Korea; April 2, 2011 (pp. 231-251). Seoul: Korean Society of Mathematics Education. |
4 | Taylor, S. J. & Bogdan, R. (1998). Introduction to qualitative research methods. John Wiley & Sons. |
5 | Teo, X. (2009). Parents up in arms again over PSLE Mathematics paper. Today (10 October 2009). Retrieved October 26, 2010, from http://www.channelnewsasia.com/stories/singaporelocalnews/view/1010464/1/.html |
6 | Ministry of Education New Zealand (2006). Findings from the New Zealand Numeracy Development Projects 2005. Learning Media Limited, Wellington: New Zealand. |
7 | Sterrett, A. (Ed.) (1990). Using writing to teach mathematics (MAA Notes). Washington, DC: Mathematical Association of America. ME 1992b.01865 ERIC ED412108 |
8 | Tay, E. G.; Quek, K. S.; Dong, F. M.; Toh, T. L. & Ho, F. H. (2007). Mathematical problem solving for Integrated Programme students: The Practical Paradigm. Proceedings EARCOME 4 2007: Meeting the Challenges of Developing a Quality Mathematics Education Culture (463- 470). |
9 | Leikin, R. & Kawass, S. (2005). Planning teaching an unfamiliar mathematics problem: The role of teacher's experience in solving the problem and watching pupils solving it. Journal of Mathematical Behaviour 24(3-4), 253-274. ME 2007c.00073 ERIC EJ803655 DOI ScienceOn |
10 | Meier, J. & Rishel, T. (1998). Writing in the teaching and learning of mathematics (MAA Notes). Washington, DC: Mathematical Association of America. ME 1998e.03297 ERIC ED421362 |
11 | Holton, D.; Anderson, J.; Thomas, B. & Fletcher, D. (1999). Mathematical problem solving in support of the classroom? International Journal of Mathematical Education for Science and Technology 30(3), 351-371. ME 1999e.03082 ERIC EJ593968 DOI ScienceOn |
12 | Schoenfeld, A. (1985). Mathematical problem solving. Orlando, FL: Academic Press. ME 1986a.01069 |
13 | Leong, Y. H.; Toh, T. L.; Quek, K. S.; Dindyal, D. & Tay, E. G. (2009). Teacher preparation for a problem solving curriculum. In: R. Hunter, B. Bicknell, T. Burgess (Eds.), MERGA 32 Conference Proceedings (pp. 691- 694). Wellington: Massey University. |
14 | Leong, Y. H.; Dindyal, J.; Tay, E. G.; Toh, T. L.; Quek, K. S. & Lou, S. T. (submitted to ZDM). Teacher preparation for a problem solving curriculum in Singapore. |
15 | Goetz, J. P. & LeCompte, M. D. (1984). Ethnography and qualitative design in educational research. Academic Press. |
16 | Hammersley, M. (2008). Questioning qualitative inquiry: Critical essays. Thousand Oaks, CA: SAGE. |
17 | Crannell, A.; LaRose, G. & Ratliff, T. (2004). Writing projects for mathematics courses: Crushed clowns, cars & coffee to go. Washington, DC: The Mathematical Association of America. ME 2004b.01715 |
18 | Lavy, I. & Shriki, A. (2010). Engaging in problem posing activities in a dynamic geometry setting and the development of prospective teachers' mathematical knowledge. Journal of Mathematical Behaviour 29(1), 11-24. ME 2011a.00142 ERIC EJ878325 DOI ScienceOn |
19 | Carlson, M. P. & Bloom, I. (2005). The cyclic nature of problem solving: An emergent multidimensional problem-solving framework. Educational Studies in Mathematics 58, 45-75. ME 2005c.00902 ERIC EJ732527 DOI ScienceOn |
20 | Clandinin, D. J. (Ed.) (2007). Handbook of narrative inquiry: Mapping a methodology. Thousand Oaks CA: SAGE. |
21 | Dindyal, J.; Toh, T. L.; Quek, K. S.; Leong, Y. H. & Tay, E. G. (2009). Reconceptualizing problem solving in the school curriculum. In: R. Hunter, B. Bicknell, T. Burgess (Eds.), MERGA 32 Conference Proceedings (pp. 681-685). Wellington: Massey University. |
22 | Ferrucci, B. J.; Kaur, B.; Carter, J. A. & Yeap, B. H. (2008). Using a model approach to enhance algebraic thinking in the elementary school mathematics classroom. In: C. E. Greenes, R. Rubenstein (Eds.), Algebra and algebraic thinking in school mathematics: Seventieth Yearbook (pp. 195-210). Reston, VA: National Council of Teachers of Mathematics. |
23 | Bruner, J. S. (1991). The narrative construction of reality. Critical Inquiry (18) 1-21. DOI ScienceOn |
24 | Bruner, J. S. (1998). What is a narrative fact? Annals of the American Academy of Political and Social Science: The Future of Fact. 560, 17-27. DOI ScienceOn |
25 | Campbell, D. T. (1988). Methodology and epistemology for social science. Chicago: The University of Chicago Press. |
![]() |