This seminar is organized by Rex Book Store and Shinglee Publishers for leaders and educators from about 130 schools.

1. P E DA G O G I E S o f SINGAPORE
S I N G A P O R E M AT H MAT H
dr yeap ban har

2. SINGAPORE
dr yeap ban har MAT H
consultant, shinglee publishers
yeapbanhar@gmail.com
Slides are available at
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3. P E DA G O G I E S o f
S I N G A P O R E M AT H
introduction
what
how
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4. Singapore

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 Land
 270 sq miles
 700 sq km
 People
introduction  5.3 million
 GDP per capita
 1965 USD500
 1980 USD5 000
 2011 USD50 000
in current USD

6. High achievement was not a given. In 1960,
among 30 615 candidates who sat for the
first Primary School Leaving Examination,
45% of the candidates passed.
Today, about the
same proportion
achieve the
highest grade in
each of the four
subjects tested.
Keon Ming Public School, Singapore

7. All major international tests (literacy, science and mathematics) between 1964 and
2003 were placed on a common scale. Selected countries shown in the table.
Score 1960-1970s 1980s 1990s 2000s
500 Japan Hong Kong Hong Kong Hong Kong
Japan Japan Japan
Korea Korea Korea
Singapore Singapore
400 Thailand The Philippines Malaysia Malaysia
Singapore Thailand Thailand
Thailand
300 Indonesia Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
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8. mathematics
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9. science
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10. reading
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11. Mean
PISA2009
Shanghai 600
Singapore 562
Hong Kong 555
15 year-olds
S Korea 546
Taiwan 543
Finland 541
Liechtenstein 536
International 496

12. P E DA G O G I E S o f
S I N G A P O R E M AT H
introduction
what
how
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13. FOCUS ON
problem solving
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14. problem solving

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17. FOCUS ON
Hong & Jeya Problem
Let’s discuss a problem from the
recent national test for Grade 6
thinking
Singapore students.
S o u r c e : S i n g a p o r e E x a m i n a t i o n a n d A s s e s s m e n t B o a r d

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Bakery
Library
Hong’s Jeya’s
House House
Every minute Hong travelled 15 m more than Jeya.
Travel time = 240  15 = 16 min
Distance = 70 m x 16 = 700 m + 350 m + 70 m
= 1120 m
(a) Hong cycled 240 m more than Jeya.
(b) Jeya cycled 1120 m.

19. FOCUS ON
thinking
Mathematics is “an excellent
vehicle for the development and
improvement of a person’s
intellectual competence”.
Ministry of Education Singapore 2006
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20. P40 – P26.50 = P13.50
P13.50 x 7 = P70 + P21 + P3.5
P13.50 x 7 = P94.50
Sam saves P94.50 in 7 days.
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21. P15.50 x 6 = P90 + P3
P15.50 x 6 = P93
Kate got back 7 pesos.
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22. P E DA G O G I E S o f
S I N G A P O R E M AT H
introduction
what
how
w w w. b a n h a r. b l o g s p o t . c o m

23. Mathematics is “an excellent
vehicle for the development and
improvement of a person’s
intellectual competence”.
1982 Ministry of Education Singapore 2006
Introduction of Singapore mathematics
textbooks as they are known today. 2001
Introduction of textbooks published by
1992 private publishers and approved by
Introduction of Problem- Ministry of Education.
Solving Curriculum 2007
New editions of textbooks are
1997 published with the introduction of the
Thinking Schools revised curriculum.
Learning Nation
2013
New editions of textbooks are
published with the revision of the
curriculum.
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24. Competencies
for the 21st
Century

25. 7800  6 = 1300
6000  6 1800  6
P650 x 13 P650 x 13
= P6500 + P1800 + P150
= P8450

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27. FOCUS ON
visualization
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28. Learning Guided Independent
Task Practice Practice
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29. Learning
Task
Teach Less, Learn More
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31. concrete
pictorial
abstract

32. Guided
Practice
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33. Guided
Practice
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34. Learning
Task
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35. Guided
Practice
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36. Independent
Practice
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39. P E DA G O G I E S o f
S I N G A P O R E M AT H
introduction
what
how
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40. Initial Concrete Experience
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53. 12.3
12 0.3
0.30
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58. FOCUS ON
visualization
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59. FOCUS ON
patterns
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60. FOCUS ON
numbersense
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