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Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
Singapore Maths at Harris Workshop 1
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Singapore Maths at Harris Workshop 1

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Workshop 1

Workshop 1

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  • 1. Singapore MathsAn Introduction to CPA ApproachHarris 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 symbolicenactive iconicJ. 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 ideaof cross-section area x height to give the volume of a prism andcylinder. This Indonesian group of schools use Singapore textbooks.Bina Bangsa School, Jakarta
  • 7. How many piecesdoes each get?What’s the nameof each piece?
  • 8. 3 fourths  4 = 12 sixteenths  4 1 3 3 fourths  4 = ×4 4 = 3 sixteenths
  • 9. Share 3 fourths equally among 3.3 fourths  3 = 1 fourth
  • 10. 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
  • 11. There are 17 more girls than boysin a group.John has $34 more than Mary. Royston Primary School, London
  • 12. Theory of Multiple Intelligences• Spatial• Linguistic• Logical-mathematical• Bodily-kinesthetic• Musical• Interpersonal• Intrapersonal• Naturalistic Gardner, 1983

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