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MAV2013 Session 1 CPA Approach
This document summarizes the Concrete-Pictorial-Abstract (CPA) approach to teaching primary mathematics. It discusses how the CPA approach is based on Bruner's work on using enactive, iconic, and symbolic representations. Examples are provided of how the CPA approach can be applied to teaching fractions, division, addition, area of a circle, and other math concepts from Primary 1 through 6. The approach aims to develop students' intellectual competence through mathematics according to Singapore's Ministry of Education.
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MAV2013 Session 1 CPA Approach
- 1. The Concrete-Pictorial-Abstract Approach inPrimary Mathematics 5 Dec 2013 | MAV Annual Conference Dr Yeap Ban Har Marshall Cavendish Institute Slides are available at www.banhar.blogspot.com The Merlion by Yeap Ken Min
- 2. “Upon separation fromMalaysia in 1965, Singapore was faced with … high levels of unemployment and poverty. 70% of Singapore’s households lived in badly overcrowded conditions, and a third of its people squatted in slums on the city fringes. Unemployment averaged 14%, GDP per capita was less than $2,700, and half of the population was illiterate. “
- 3. Country GDP per capitain current USD 2012 Singapore 60,400 Malaysia 16,900 Thailand 10,100 Philippines 4,400
- 4. | Hanusek, Jamison,Jamison & Woessmann 2008
- 5. Score 1960-1970s 1980s 1990s 2000s 500’s Japan Hong Kong Japan Korea Hong Kong Japan Korea Singapore HongKong Japan Korea Singapore 400’s Thailand Philippines Singapore Thailand Malaysia Thailand Malaysia Thailand Indonesia Philippines Indonesia Philippines 300’s | Hanusek, Jamison, Jamison & Woessmann 2008
- 6. Example 1 First Lessonon Fractions Primary 2
- 9. Example 2 Division involvingFractions Primary 5
- 10. Lesson 2 Share 3fourths. 5th December 2013
- 11. Example 3 Addition within40 Primary 1
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- 20. Example 4 Area ofCircle Primary 6
- 24. Nanyang Primary School,Singapore CPA Approach Based on Bruner’s work on representations – enactive, iconic and symbolic
- 25. thinkingschools learningnation Mathematics is “anexcellent vehicle for the development and improvement of a person’s intellectual competence”. Ministry of Education, Singapore (2006)
- 26. Ministry of Education,Singapore (1991, 2000, 2006, 2012)