Singapore Maths at Harris Workshop 1
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Transcript of Singapore Maths at Harris Workshop 1
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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
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Jerome Bruner
• Enactive Representation (Concrete)
• Iconic Representation (Pictorial)
• Symbolic Representation (Abstract)
Reference
http://www.theoryfundamentals.com/bruner.htm
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Concrete Pictorial Abstract
15 3 = 5
enactive
iconic
symbolic
J. Bruner My Pals Are Here! Maths (Second Edition)
Princess Elizabeth Primary School, Singapore
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Primary Mathematics (Standards Edition)
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My Pals Are Here! Maths (Third Edition)
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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.
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How many pieces
does each get?
What’s the name
of each piece?
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3 fourths 4 = 12 sixteenths 4 = 3 sixteenths
3 fourths 4 = 1
4×
3
4
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Share 3 fourths equally among 3.
3 fourths 3 = 1 fourth
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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
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Royston Primary School, London
There are 17 more girls than boys
in a group.
John has $34 more than Mary.
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Theory of Multiple Intelligences
• Spatial
• Linguistic
• Logical-mathematical
• Bodily-kinesthetic
• Musical
• Interpersonal
• Intrapersonal
• Naturalistic Gardner, 1983