singapore maths at harris workshop 1
DESCRIPTION
Workshop 1TRANSCRIPT
Singapore Maths An Introduction to CPA Approach
H a r r i s F e d e r a t i o n , L o n d o n O c t o b e r 2 0 1 2
Yeap Ban Har
Marshall Cavendish Institute Singapore
Slides are available at
www.banhar.blogspot.com
Jerome Bruner
• Enactive Representation (Concrete)
• Iconic Representation (Pictorial)
• Symbolic Representation (Abstract)
Reference
http://www.theoryfundamentals.com/bruner.htm
Concrete Pictorial Abstract
15 3 = 5
enactive
iconic
symbolic
J. Bruner My Pals Are Here! Maths (Second Edition)
Princess Elizabeth Primary School, Singapore
Primary Mathematics (Standards Edition)
My Pals Are Here! Maths (Third Edition)
Bina Bangsa School, Jakarta
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.
How many pieces
does each get?
What’s the name
of each piece?
3 fourths 4 = 12 sixteenths 4 = 3 sixteenths
3 fourths 4 = 1
4×
3
4
Share 3 fourths equally among 3.
3 fourths 3 = 1 fourth
Share 3 fourths equally between 2.
3 fourths 2 = 6 eighths 2 = 3 eighths
Share 3 fourths equally among 4.
3 fourths 4 = 12 sixteenths 4 = 3 sixteenths
Royston Primary School, London
There are 17 more girls than boys
in a group.
John has $34 more than Mary.
Theory of Multiple Intelligences
• Spatial
• Linguistic
• Logical-mathematical
• Bodily-kinesthetic
• Musical
• Interpersonal
• Intrapersonal
• Naturalistic Gardner, 1983