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Singapore Math at Edgemont School District New York
1. Edgemont Union Free School District
Superintendent’s Professional
Development Day
January 2013
2. MAP101 Fundamentals of Singapore Math
Edgemont Union Free School District
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
4. 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.
Page 1
7. Singapore Math allows
average learners perform at
a high level. The following
are some data from some
international research on
math achievement and
attitude.
8. 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)
26. Summary of Session 1
Problem solving and thinking as well as
holistic development of the child are the
twin key features of Singapore Math.
CPA Approach is used to achieve the
development of visualization and
provides an impetus for making
generalization.
32. Greenville Elementary School, New York
The CPA Approach
CPA
Students were asked to
make three nests of 2
eggs and, later, 3 nests
of 7 eggs. They were
only given 20 ‘eggs’.
33. CPA Approach in Developing Conventional Language
3 nests 3 nests of 2 eggs 3 groups of 2 3 twos
Greenville Elementary School, New York
34. Using bar model to introduce solving
algebraic equations
Solve 7 – 3y = 1 .
7
3y 1
41. For students who already
know a procedure, they
should be able to explain the
procedure visually.
Ideally, the visuals are
employed to help students
develop both procedural and
conceptual understanding at
the same time
Seely Place Elementary School, New York
42.
43.
44.
45.
46.
47.
48. MAP101 Fundamentals of Singapore Math
incorporating differentiated instruction
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
49. Anchor Task Guided Practice Independent Practice
King Solomon Academy, London
50. Anchor Task Guided Practice Independent Practice
King Solomon Academy, London
51. Anchor Task Guided Practice Independent Practice
Globe Academy, London
52. Anchor Task Guided Practice Independent Practice
Globe Academy, London
61. 60 3 = 20 =
51 3 = Use digit tiles 0 to 9
54 3 = without repeating.
51 3 = 17
50 3 =
Write three story problems for 50 3 .
Write a note to Marc who is absent
today. Explain to him how to figure out
51 3 .
66. Summary of Session 2
How we can provide challenge to
advanced learners is discussed in the
51 3. We can also provide
challenge to all students, as
demonstrated in the x=.
67. intermediate
grade eight mathematics
advanced
average
high
low
Singapore 611 48 78 92 99
Malaysia 440 2 12 36 65
Thailand 427 2 8 26 55
Indonesia 386 0 2 15 43
International 500 3 17 46 75
68. grade eight mathematics
dislike math
advanced
like math
average
Singapore 611 48 32 23
Malaysia 440 2 39 15
Thailand 427 2 26 16
Indonesia 386 0 20 10
International 500 3 26 31
69. grade eight mathematics
dislike math
advanced
like math
average
Singapore 611 48 32 23
South Korea 613 47 8 56
Taiwan 609 49 14 53
Hong Kong 586 34 19 37
Japan 570 27 9 53
International 500 3 26 31