Workshop 1

1. Singapore Maths
An Introduction to CPA Approach
Harris Federation, London  October 2012
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com

2. Jerome Bruner
• Enactive Representation (Concrete)
• Iconic Representation (Pictorial)
• Symbolic Representation (Abstract)
Reference
http://www.theoryfundamentals.com/bruner.htm

3. Concrete  Pictorial  Abstract
Princess Elizabeth Primary School, Singapore
15  3 = 5
symbolic
enactive
iconic
J. Bruner My Pals Are Here! Maths (Second Edition)

4. Primary Mathematics (Standards Edition)

5. My Pals Are Here! Maths (Third Edition)

6. Secondary 1 students using concrete materials to understand the idea
of cross-section area x height to give the volume of a prism and
cylinder. This Indonesian group of schools use Singapore textbooks.
Bina Bangsa School, Jakarta

8. How many pieces
does each get?
What’s the name
of each piece?

9. 3 fourths  4 = 12 sixteenths  4 1 3
3 fourths  4 = ×4
4
= 3 sixteenths

10. Share 3 fourths equally among 3.
3 fourths  3 = 1 fourth

11. Share 3 fourths equally between 2.
3 fourths  2
= 6 eighths  2 Share 3 fourths equally among 4.
= 3 eighths
3 fourths  4
= 12 sixteenths  4
= 3 sixteenths

12. There are 17 more girls than boys
in a group.
John has $34 more than Mary.
Royston Primary School, London

13. Theory of Multiple Intelligences
• Spatial
• Linguistic
• Logical-mathematical
• Bodily-kinesthetic
• Musical
• Interpersonal
• Intrapersonal
• Naturalistic
Gardner, 1983