1. lecture|
average learners,
high achievement
yeap ban har | marshall cavendish institute
yeapbanhar@gmail.com | www.banhar.blogspot.com
westin westminster | colorado

2. high achievement

3. Singapore
Malaysia
Thailand
Indonesia
International
48
2
2
0
3
78
12
8
2
17
92
36
26
15
46
99
65
55
43
75
611
440
427
386
500
advanced
high
intermediate
low
average
gradeeightmathematics

4. “Upon separation from Malaysia in 1965, Singapore
was faced with … high levels of unemployment and
poverty. 70% of Singapore’s households lived in badly
overcrowded conditions, and a third of its people
squatted in slums on the city fringes. Unemployment
averaged 14%, GDP per capita was less than $2,700,
and half of the population was illiterate.”

5. Country
GDP per capita in
current USD
2012
Singapore 60,400
Malaysia 16,900
Thailand 10,100
Philippines 4,400
“Upon separation from Malaysia in 1965, Singapore
was faced with … high levels of unemployment and
poverty. 70% of Singapore’s households lived in badly
overcrowded conditions, and a third of its people
squatted in slums on the city fringes. Unemployment
averaged 14%, GDP per capita was less than $2,700,
and half of the population was illiterate.”

6. critical success factors

7. | Ministry of Education, Singapore (1991, 2000, 2006, 2012)

8. instruction and assessment emphasized
problem solving e.g. anchor task

9. Mathematics is “an excellent vehicle for
the development and improvement of a
person’s intellectual competence”.
|Ministry of Education, Singapore (2006)
thinkingschool
learningnations

10. big ideas in singapore math
 number sense
 visualization
 generalization

11. research-based
bruner | dienes | polya |vygotsky |
skemp | CPA Approach

13. emphasis on choice of situations
 by varying the examples carefully students’
learning path is well constructed
Based on Dienes’
idea of variability

14. emphasis on
choice of
situations
 pies
 water

15. emphasis on choice of
situations
 shells
 pies

16. emphasis on linking
 instrumental understanding
 relational understanding
Based on Skemp’s
work on types of understanding

17. Find the value of 16 of ¾ .

18. put it together

26. conclusion | the actor