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This 3-hour course was conducted in The Netherlands in November 2012.
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MAP101 Fundamentals of Singapore Math B U N N I K , T H E N E T H E R L A N D S
Yeap Ban Har
Marshall Cavendish Institute Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
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Land 270 sq miles
700 sq km
People 5.3 million
GDP per capita 1965 USD500
2011 USD50 000 in current USD
Junyuan Secondary School, Singapore
introduction
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Score 1960-1970s 1980s 1990s 2000s
500 Japan Japan Korea
Hong Kong
Japan Korea
Singapore Hong Kong
Japan Korea
Hong Kong Singapore
400 Thailand Singapore Thailand
The Philippines
Malaysia Thailand
Malaysia Thailand
300 Indonesia The Philippines
Indonesia The 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.
1992 Introduction of Problem-
Solving Curriculum
1997 Thinking Schools Learning Nation
1982 Introduction of Singapore mathematics
textbooks as they are known today. 2001 Introduction of textbooks published by
private publishers and approved by Ministry of Education.
2007 New 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
Page 1
2013 New editions of textbooks are
published with the revision of the curriculum.
Page 4
The brown sugar problem demonstrates the
importance of visualization.
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 g Bella puts 270 g sugar on the dish.
Page 2 Professional Development in Bunnik, The Netherlands
x + 2x = 12
The fill-in-the-squares problem demonstrates
the importance of looking for patterns.
Professional Development in Bunnik, The Netherlands
Jenaplanschool Cleophas, Utrecht, The Netherlands
We also discuss helping students acquire
addition facts, multiplication facts and learn
formula for area.
My Pals Are Here! (Third Edition) 1A
8 + 6
8 + 6 = 10 + 4
8 + 6 = 7 + 7
8 + 6 = 20 – 2 – 4
Learning multiplication facts.
Math in Focus
Math in Focus
Da Qiao Primary School, Singapore
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.
Primary Mathematics (Third Edition)
Visuals are used to teach
concepts – distributive
property of multiplication
– without using formal
terms.
Primary Mathematics (Third Edition)
Learning division of larger numbers.
Page 14
Learning formula to calculate area of
trapezium.
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emphasis visualization
Exp
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Page 15
3 units = 18 1 units = 18 3 = 6
6 x 8 = 48 There were 48 coins at first.
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