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breakoutsession|
mathematics problems
from singapore schools
yeap ban har | marshall cavendish institute
yeapbanhar@gmail.com | www.banhar.blogspot.com
westin westminster | colorado
Synopsis | What are the core competencies in a problem-
solving classroom? What teacher actions facilitate the
development of such competencies?
Nanyang Primary School, Singapore
$150 - $24 = $126
$126  9 = 
$126
$90 $36
Each person paid $14.
2, 4, 6, 8, 10, 12, 14, 16,18, …
4, 8, 12, 16, 20, 24, …
5, 10, 15,20, 25, 30, …
Method 1
Method 2
common multiples of 2, 4 and 5
Method 3
common multiples of 4 and 5
She has at least 20 sweets.
a b c d
a
a
a
b
b b
c c
c
d
d d
a + b + c + d = 15 cm
The wire used is 15 cm x 4 = 90 cm.
8Mario
Nina
8Mario
Nina 3
3
3
3 3
3 3 3
3 3 3 3
3 3 3 3 3
3
3 3
3 3 3
3 3 3 3
3
3 3
3 3 3
3 3 3 3
3 3 3 3 350 – 10 x 3 = 20
50 – 15 x 3 = 5
1 + 2 + 3 + 4 = 10
1 + 2 + 3 + 4 + 5 = 15
1 + 2 + 3 + 4 + 5 + … + 100 = ?

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Day 1 Breakout Sessions

  • 1. breakoutsession| mathematics problems from singapore schools yeap ban har | marshall cavendish institute yeapbanhar@gmail.com | www.banhar.blogspot.com westin westminster | colorado
  • 2. Synopsis | What are the core competencies in a problem- solving classroom? What teacher actions facilitate the development of such competencies? Nanyang Primary School, Singapore
  • 3. $150 - $24 = $126 $126  9 =  $126 $90 $36 Each person paid $14.
  • 4. 2, 4, 6, 8, 10, 12, 14, 16,18, … 4, 8, 12, 16, 20, 24, … 5, 10, 15,20, 25, 30, … Method 1 Method 2 common multiples of 2, 4 and 5 Method 3 common multiples of 4 and 5 She has at least 20 sweets.
  • 5.
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  • 8.
  • 9. a b c d a a a b b b c c c d d d a + b + c + d = 15 cm The wire used is 15 cm x 4 = 90 cm.
  • 12.
  • 13. 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
  • 14. 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 350 – 10 x 3 = 20 50 – 15 x 3 = 5 1 + 2 + 3 + 4 = 10 1 + 2 + 3 + 4 + 5 = 15 1 + 2 + 3 + 4 + 5 + … + 100 = ?