Abstract
The longstanding criticism against education research is: Has it made a difference to actual classroom practice? In this chapter, I present a case for the affirmative in the context of mathematics education research in Singapore – not merely by describing cases but also extracting common underlying features that contribute to impact. These examples include the now well-known ‘model method’, mathematics problem-solving and the concrete-pictorial-abstract instructional heuristic.
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References
Argyris, C., & Schon, D. A. (1978). Organizational learning: A theory of action perspective. Reading, MA: Addison-Wesley.
Bobis, J. (2011). Mechanisms affecting the sustainability and scale-up of a system-wide numeracy reform. Mathematics Teacher Education & Development, 13(1), 34–53.
Bruner, J. S. (1966). Toward a theory of instruction. Cambridge, MA: Harvard University Press.
Coburn, C. E. (2003). Rethinking scale: Moving beyond numbers to deep and lasting change. Educational Researcher, 32(6), 3–12.
Henrick, E., Cobb, P., & Jackson, K. (2015). Educational design to support system-wide instructional improvement. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Approaches to qualitative research in mathematics education: Examples of methodology and methods (pp. 497–530). Dordrecht, The Netherlands: Springer.
Hill, H. C. (2009). Fixing teacher professional development. Phi Delta Kappan, 90(7), 470–477.
Ho, K. F., & Hedberg, J. G. (2005). Teachers’ pedagogies and their impact on students’ mathematical problem solving. Journal of Mathematical Behavior, 24(3–4), 238–252.
Lemke, J. L., & Sabelli, N. H. (2008). Complex systems and educational change: Towards a new research agenda. Educational Philosophy and Theory, 40(1), 118–129.
Leong, Y. H., Dindyal, J., Toh, T. L., Quek, K. S., Tay, E. G., & Lou, S. T. (2011). Teacher education for a problem-solving curriculum in Singapore. ZDM: The International Journal on Mathematics Education, 43(6–7), 819–831.
Leong, Y. H., Ho, W. K., & Cheng, L. P. (2015). Concrete-pictorial-abstract: Surveying its origins and charting its future. The Mathematics Educator, 16(1), 1–19.
Leong, Y. H., Kaur, B., & Kwon, O. (2017). Mathematics teacher professional development: An Asian perspective. In B. Kaur, O. Kwon, & Y. H. Leong (Eds.), Professional development of mathematics teachers - an Asian perspective (pp. 1–14). Singapore, Singapore: Springer.
Leong, Y. H., Tay, E. G., Quek, K. S., Yap, S. F., Tong, C. L., Lee, H. T. C., Toh, W. Y. K., Xie, X., Chew, K., Lock, O. L., Liu, S., Subramaniam, T., Leong, W. C., Chia, A., Nafiza, N.-I., Xing, J., & Karen, I. (2016). MPROVE: Completing the square. Singapore, Singapore: Toh Wei Yeng Karen.
Leong, Y. H., Tay, E. G., Toh, T. L., Quek, K. S., Toh, P. C., & Dindyal, J. (2016). Infusing mathematical problem solving in the mathematics curriculum: Replacement units. In P. Felmer, E. Perhkonen, & J. Kilpatrick (Eds.), Posing and solving mathematical problems: Advances and new perspectives (pp. 309–326). Geneva: Springer.
Leong, Y. H., Tay, E. G., Toh, T. L., Quek, K. S., & Yap, R. A. S. (2019). Concretisations: A support for teachers to carry out instructional innovations in the mathematics classroom. International Journal of Science and Mathematics Education, 17(2), 365–384.
Leong, Y. H., Tay, E. G., Toh, T. L., Yap, R. A. S., Toh, P. C., Quek, K. S., & Dindyal, J. (2016). Boundary objects within a replacement unit strategy for mathematics teacher development. In B. Kaur, O. N. Kwon, & Y. H. Leong (Eds.), Professional development of mathematics teachers: An Asian perspective (pp. 189–208). Singapore, Singapore: Springer.
Leong, Y. H., Yap, S. F., Teo, M. L., Thilagam, S., Karen, I., Quek, E. C., & Tan, K. L. (2010). Concretising factorisation of quadratic expressions. The Australian Mathematics Teacher, 66(3), 19–25.
Lester, F. K. (1994). Musing about mathematical problem-solving research: 1970-1994. Journal of Research in Mathematics Education, 25, 660–676.
Lewis, C. (2002). Lesson study: A handbook of teacher-led instructional improvement. Philadelphia, PA: Research for Better Schools.
Ministry of Education. (2019). 2021 Primary mathematics teaching and learning syllabus. Singapore, Singapore: Author.
Ng, S. F., & Lee, K. (2009). The model method: Singapore Children’s tool for representing and solving algebraic word problems. Journal for Research in Mathematics Education, 40(3), 282–313.
Polya, G. (1945). How to solve it. Princeton, NJ: Princeton University Press.
Quek, K. S., Leong, Y. H., Tay, E. G., Toh, T. L., & Dindyal, J. (2012). Diffusion of the mathematics practical paradigm in the teaching of problem solving: Theory and praxis. In J. Dindyal, L. P. Cheng, & S. F. Ng (Eds.), Proceedings of the 35th annual conference of the mathematics education research Group of Australasia (pp. 618–624). Singapore, Singapore: MERGA.
Rogers, E. M. (2003). Diffusion of innovations (5th ed.). New York: Simon and Schuster.
Schoenfeld, A. (1985). Mathematical problem solving. Orlando, FL: Academic Press.
Schoenfeld, A. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). New York: Macmillan.
Schoenfeld, A. H. (2007). Problem solving in the United States, 1970 – 2008: Research and theory, practice and politics. ZDM: The International Journal on Mathematics Education, 39, 537–551.
Schroeder, T., & Lester, F. (1989). Developing understanding in mathematics via problem solving. In P. Traffon & A. Shulte (Eds.), New directions for elementary school mathematics: 1989 yearbook (pp. 31–42). Reston, VA: NCTM.
Silver, E. A., Ghousseini, H., Gosen, D., Charalambous, C., & Strawhun, B. T. F. (2005). Moving from rhetoric to praxis: Issues faced by teachers in having students consider multiple solutions for problems in the mathematics classroom. Journal of Mathematical Behavior, 24(3–4), 287–301.
Stacey, K. (2005). The place of problem solving in contemporary mathematics curriculum documents. Journal of Mathematical Behavior, 24(3–4), 341–350.
Stepanek, J., Appel, G., Leong, M., Mangan, M. T., & Mitchell, M. (2007). Leading lesson study: A practical guide for teachers and facilitators. Thousand Oaks, CA: Corwin Press.
Tatar, D., Roschelle, J., Knudsen, J., Shectman, N., Kaput, J., & Hopkins, B. (2008). Scaling up innovative technology-based mathematics. The Journal of the Learning Sciences, 17, 248–286.
Toh, T. L., Quek, K. S., Leong, Y. H., Dindyal, J., & Tay, E. G. (2011). Making mathematics practical: An approach to problem solving. Singapore, Singapore: World Scientific.
Wallace, M. R. (2009). Making sense of the links: Professional development, teacher practices, and students achievement. Teachers College Record, 111(2), 573–596.
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Leong, Y.H. (2021). Mathematics Education Research: Impact on Classroom Practices. In: Tan, O.S., Low, E.L., Tay, E.G., Yan, Y.K. (eds) Singapore Math and Science Education Innovation. Empowering Teaching and Learning through Policies and Practice: Singapore and International Perspectives, vol 1. Springer, Singapore. https://doi.org/10.1007/978-981-16-1357-9_9
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