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International Journal of Mathematical Education in Science and Technology Volume 45, 2014 - Issue 2
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Original Articles

The problem-solving approach in the teaching of number theory

Pee Choon TohNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, SingaporeCorrespondence[email protected]
,
Yew Hoong LeongNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore
,
Tin Lam TohNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore
,
Jaguthsing DindyalNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore
,
Khiok Seng QuekNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore
,
Eng Guan TayNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore
&
Foo Him HoNational Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore
 show all
Pages 241-255 | Received 22 Nov 2012, Accepted 02 Apr 2012, Published online: 30 Jul 2013

References

  • Schoenfeld A. Mathematical problem solving. Orlando, FL: Academic Press; 1985.
  • National Council of Teachers of Mathematics. An agenda for action: recommendations for school mathematics for the 1980s. Reston, VA: Author; 1980.
  • Cockcroft W. Mathematics counts. London: HMSO; 1982.
  • Lester FK. Musing about mathematical problem-solving research: 1970–1994. J Res Math Educ. 1994;25:660–676.
  • Stacey K. The place of problem solving in contemporary mathematics curriculum documents. J Math Behav. 2005;24:341–350.
  • Polya G. How to solve it. Princeton, NJ: Princeton University Press; 1945.
  • Schoenfeld AH. Problem solving in the United States, 1970–2008: research and theory, practice and politics. ZDM: Int J Math Educ. 2007;39(5–6):537–551.
  • Schoenfeld A. Learning to think mathematically: problem solving, metacognition, and sense making in mathematics. In: Grouws DA, editor. Handbook of research on mathematics teaching and learning. New York: MacMillan; 1992. p. 334–370.
  • Woolnough B, Allsop T. Practical work in science. Cambridge: Cambridge University Press; 1985.
  • Toh TL, Quek KS, Tay EG. Mathematical problem solving – a new paradigm. In: Vincent J, Pierce R, Dowsey J, editors. Connected maths. Melbourne: Mathematical Association of Victoria; 2008. p. 356–365.
  • Leong YW. The practical worksheet: scaffolding and assessing the problem solving process [unpublished masters dissertation]. Singapore: National Institute of Education; 2012.
  • Leong YH, Dindyal J, Toh TL, Quek KS, Tay EG, Lou ST. Teacher education for a problem-solving curriculum in Singapore. ZDM: Int J Math Educ. 2011;43(6–7):819–831.
  • Leong YH, Toh PC, Dindyal J, Ho FH, Tay EG. Diffusion of the mathematics practical to mainstream secondary schools in Singapore. Paper presented at: The 35th Annual Conference of the Mathematics Education Research Group of Australasia; 2012.
  • Leong YH, Tay EG, Toh TL, Quek KS, Dindyal J. Reviving Pólya's “Look Back” in a Singapore school. J Math Behav. 2011;30(3):181–193.
  • Dindyal J, Tay EG, Toh TL, Leong YH, Quek KS. Mathematical problem solving for everyone: a new beginning. Math Educ. 2012;13(2):1–20.
  • Toh TL, Quek KS, Leong YH, Dindyal J, Tay EG. Making mathematics practical: an approach to problem solving. Singapore: World Scientific; 2011.
  • Toh PC, Toh TL, Ho FH, Quek KS. Use of practical worksheet in teacher education at the undergraduate and postgraduate levels. In: Dindyal J Cheng LP, Ng SF, editors. Mathematics education: expanding horizons. Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia, eBook. Singapore: MERGA, Inc.; 2012. p. 736–743.

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