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# Singapore Math Session D2 and G2

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• 1. National Conference on Singapore Math Strategies Las Vegas
Session D2 & G1
Piece of Cake : Teaching Fractions
Yeap Ban Har
banhar.yeap@pathlight.org.sg
Slides are available at www.banhar.blogspot.com
Fuchun Primary School, Singapore
• 2. Session D2
Piece of Cake : Teaching Fractions
• Prepare a set of pattern blocks for yourself – a yellow, a red, two blue and four green pieces.
• Activity 0
• 3. PSLE Mathematics 2005 – 2009
• 4. PSLE Mathematics 2005 – 2009
• 5. focus on
visualization
• 6. Activity 1
• 7.
• 8.
• 9. provide
variation
Dienes’ Theory
• 10.
• 1 fifth + 2 fifths (Grade 2)
• 11. 1 tenth + 2 fifths (Grade 3)
• 12. 2 thirds + 8 ninths (Grade 4)
• 13. 1 half + 2 fifths (Grade 5)
spiral
approach
• Fraction as part of a whole (Grades 2 to 3)
• 14. Fraction as part of a set (Grade 4)
• PSLE Mathematics 2005 – 2009
• 15. My Pals Are Here! Mathematics Book4
• 16. conceptual
understanding
Skemp’s Theory
• 17. Activity 2
• 18.
• 19.
• 20.
• 21.
• 22. Activity 3
• 23.
• 24. Activity 4
• 25.
• 26.
• 27.
• 28.
• 29. the CPA
approach
Bruner’s Theory
• 30.
• 31.
• 32.
• 33.
• 34. Scarsdale Middle School New York
• 35.
• 36.
• 37. My Pals Are Here! Mathematics 1B
• 38. Primary Mathematics Standards Edition Grade 6
• 39. Primary Mathematics Standards Edition Grade 6
• 40. How to make sure the butterfly cannot flyHow do you get a butterfly?First there is the egg which hatches into a caterpillar. The caterpillar eats and grows. At the right time, it makes a cocoon out of its own body. While in the cocoon, the caterpillar changes into a butterfly.When the butterfly is ready, it starts to break through the cocoon. First a hole appears. Then the butterfly struggles to come out through the hole. This can take a few hours.If you try to "help" the butterfly by cutting the cocoon, the butterfly will come out easily but it will never fly. Your "help" has destroyed the butterfly.The butterfly can fly because it has to struggle to come out. The pushing forces lots of enzymes from the body to the wing tips. This strengthens the muscles, and reduces the body weight. In this way, the butterfly will be able to fly the moment it comes out of the cocoon. Otherwise it will simply fall to the ground, crawl around with a swollen body and shrunken wings, and soon die.If the butterfly is not left to struggle to come out of the cocoon, it will never fly.We can learn an important lesson from the butterfly.Lim Siong GuanHead, Civil Service