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This one day event was attended by about 60 educators and adminsitrators form the state of New Jersey.
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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
General Overview of Singapore and its Education System
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
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.
"Solving problems is central to mathematical proficiency and is articulated to a varying degree across the international curricula. Singapore applies the highest degree of specificity to it, placing it at the centre of all mathematical learning.“
Review of the National Curriculum in England Research Report UK Department for Education
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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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Experiencing Singapore MathSpiral Approach
Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available atwww.banhar.blogspot.com
543 + 274 =
543 + 274 =
543 + 274 =
543 + 274 =
543 + 274 =
543 + 274 =
One day, 543 cars and 274 buses pass through a toll booth. How many cars and buses pass through the toll booth?
Math in Focus Grade 2
543
274
cars
buses
543 + 274 =
543 274
cars buses
emphasis spiral
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Experiencing Singapore MathVisual Approach
Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available atwww.banhar.blogspot.com
110 g
290 g Page 2
110 g
??
2 units = 290 g – 110 g = 180 g
1 units = 180 g 2 = 90 g
3 x 90 g = 270 gBella puts 270 g sugar on the dish.
Escuela de Guetamala, Chile
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x + 2x = 12
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King Solomon Academy, London
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Edgewood Elementary School, New York
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Globe Academy, London
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3x – 2 = 8
Globe Academy, London
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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
Page 08Page 13
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Share 3 fourths equally among 3.
3 fourths 3 = 1 fourth
Page 5
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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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Concrete to Visual J Bruner
Variation Z Dienes
Human Intelligences H Gardner
Junyuan Secondary School, Singapore
visualization
Page 11
Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Math in Focus
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Da Qiao Primary School, Singapore
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See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore Primary School Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey.See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore on Higher-Order Thinking Skills. Paper presented at International Conference on School Mathematics Textbooks Shanghai, China.
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Primary Mathematics (Third Edition)
Visuals are used to teach concepts – distributive property of multiplication – without using formal terms.
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Primary Mathematics (Third Edition)