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Summary and extended reading

In week 2 of the course, you should have learned the following main points:

  1. You have explored the popular Singaporean mathematics education principle of the Concrete-Pictorial-Abstract (CPA) approach.

  2. You have studied several sequences of tasks as examples of this CPA approach.

  3. You have thought concretely about a CPA sequence of your own.


Some suggestions for reading for this week are:

Week 2

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.

Kho, T. H., Yeo, S. M., & Fan, L. (2014). Model Method in Singapore primary mathematics textbooks. Paper presented at 2014 International Conference on Mathematics Textbook Research and Development. In Jones, K., Bokhove, C., Howson, G., & Fan, L. (Eds.), Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014) (pp. 275-282). Southampton: University of Southampton, United Kingdom. link to the full proceedings

Next week

Next week, we will focus on another important Singapore principle, the Bar Model method.

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This article is from the free online course:

World Class Maths: Asian Teaching Practice

Macmillan Education