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Experiencing Singapore MathN e w a r k E a s t B r u n s w i c k
Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available atwww.banhar.blogspot.com
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Land 270 sq miles
People 4.7 million
GDP per capita 1965 USD510 2010 USD43,300
in current USD
Junyuan Secondary School, Singapore
introduction
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General Overview of Singapore and its Education System
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General Overview of Singapore and its Education System
Students 500 000
Teachers 30 000
Principals & Vice-Principals 900
Schools 173 Primary Schools (Primary 1 – 6) 155 Secondary Schools (Secondary 1 – 4) 13 Junior Colleges (JC 1 – 2) 15 Mixed-Level Schools
The data refers to 1-12 school system. Pre-school is not part of the formal education system. The data excludes post-secondary education system which includes institutes of technical education, polytechnics and universities.
Canossa Convent Primary School, Singapore
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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.
Keon Ming Public School, Singapore
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Score 1960-1970s 1980s 1990s 2000s
500 Japan JapanKorea
Hong Kong
JapanKorea
SingaporeHong Kong
JapanKorea
Hong KongSingapore
400 Thailand SingaporeThailand
The Philippines
MalaysiaThailand
MalaysiaThailand
300 IndonesiaThe Philippines
IndonesiaThe Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
All major international tests (literacy, science and mathematics) between 1964 and 2003 were placed on a common scale. Selected countries shown in the table.
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1992Introduction of Problem-
Solving Curriculum
1997Thinking SchoolsLearning Nation
1982Introduction of Singapore mathematics
textbooks as they are known today.
2001Introduction of textbooks published by
private publishers and approved by Ministry of Education.
2007New editions of textbooks are
published with the introduction of the revised curriculum.
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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Singapore
Taiwan
Japan
Hong Kong
Att
itude
Ach
ievem
en
t
71 41
67 40
50 24
62 23
Gra
de 4
Kazakhstan
Russia
International
England
89 19
62 16
80 16
72 5
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Taiwan
Singapore
Hong Kong
S Korea
Att
itude
Ach
ievem
en
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37 45
33 40
60 40
47 31
Gra
de 8
Japan
England
International
Hungary
30 26
30 10
40 8
54 2
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Experiencing Singapore MathInitial Concrete Experiences & Building Conceptual Understanding
Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available atwww.banhar.blogspot.com
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Relational Understanding R Skemp
Concrete Introduction J Bruner
Junyuan Secondary School, Singapore
what & how
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Share 3 fourths equally among 3.
3 fourths 3 = 1 fourth
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Share 3 fourths equally between 2.
3 fourths 2 = 6 eighths 2= 3 eighths
Share 3 fourths equally among 4.
3 fourths 4 = 12 sixteenths 4= 3 sixteenths
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12 cookies 4
12 pieces 4
12 sixteenths 4
12 tenths 4
12 x 4
12 cookies 4 cookies
12 pieces 4 pieces
12 x 4 x
34÷1434÷12
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Experiencing Singapore MathEmphasis on Number Sense & Visualization
Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available atwww.banhar.blogspot.com
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King Solomon Academy, London
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King Solomon Academy, London
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King Solomon Academy, London
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Globe Academy, London
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Globe Academy, London
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Globe Academy, London
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emphasis visualization
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3 units = 181 units = 18 3 = 6
6 x 8 = 48There were 48 coins at first.