Edgemont School District (Parents)
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Singapore Math a p r o g r a m f o r p a r e n t s
Yeap Ban Har
Marshall Cavendish Institute Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
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
Greenridge Primary School, Singapore
why do we teach
mathematics this way
1992 Introduction of Problem-
Solving Curriculum
1997 Thinking Schools Learning Nation
1982 Introduction of Singapore mathematics
textbooks as they are known today.
Mathematics is “an excellent
vehicle for the development and
improvement of a person’s
intellectual competence”. Ministry of Education Singapore 2006
Singapore Math focuses on
the use of visuals and initial
concrete experiences. The
emphasis is not just knowing
how but also knowing why.
Greenville Elementary School, New York
Escuela de Guetamala, Chile
Seely Place Elementary School, New York
Archipel Basisschool Tweemaster-Kameleon, The Netherlands
Archipel Basisschool Tweemaster-Kameleon, The Netherlands
28
62
4
3
Let the piece of paper
represents a cake.
3 fourths 3 =
4
13
4
3
Let the piece of paper
represents a cake.
3 fourths 2 =
8
32
8
62
4
3
Let the piece of paper
represents a cake.
3 fourths 2 =
4
3
2
12
4
3
Let the piece of paper
represents a cake.
3 fourths 2 =
8
3
4
3
2
12
4
3
Let the piece of paper
represents a cake.
3 fourths 2 =
8
3
8
1
4
12
4
3
2 fourths 2 =
1 fourths 2 =
Archipel Basisschool Tweemaster-Kameleon, The Netherlands
King Solomon Academy, London UK
A number is of a second number.
The sum of the two numbers is 120. 5
3
A number is of a second number.
The sum of the two numbers is 120. 5
3
8 units = 120
1 units = 120 8
1 units = 15
120
80 40
The smaller number is 3 x 15 = 45.
The larger number is 5 x 15 = 75.
Edgewood Elementary School, New York
Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.
Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.
20 Box C
Box A
Box B
116
Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.
20 Box C
Box A
Box B
116 – 20 = 116 – 16 – 4 = 96
4 units = 96
4 units = 80 + 16
1 units = 96 4 =
24
24 24
24
Box A ….
Seely Place Elementary School, New York
Singapore Math focuses on
number bonds and mental
strategies.
We end the evening with a
few questions.
Singapore Math allows
average learners perform at
a high level. The following
are some data from some
international research on
math achievement and
attitude.
Score 1960-1970s 1980s 1990s 2000s
500 Japan Hong Kong Japan Korea
Hong Kong Japan Korea
Singapore
Hong Kong Japan Korea
Singapore
400 Thailand The Philippines Singapore Thailand
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.
mathematics
gra
de f
our
ma
them
atics
Singapore
South Korea
Hong Kong
Taiwan
Japan
Northern Ireland
Belgium
Finland
England
Russia
United States
International
43
39
37
34
30
24
10
12
18
13
13
4
78
80
80
74
70
59
50
49
49
47
47
28
94
97
96
93
93
86
89
85
78
82
81
69
99
100
99
99
99
96
99
98
93
97
96
90
606
605
602
591
585
562
549
545
542
542
541
500
adv high int low ave
gra
de e
ight
ma
them
atics
South Korea
Singapore
Taiwan
Hong Kong
Japan
Russia
Israel
Finland
United States
England
International
47
48
49
34
27
14
12
4
7
8
3
77
78
73
71
61
47
40
30
30
32
17
93
92
88
89
87
78
68
73
68
65
46
99
99
96
97
97
95
87
96
92
88
75
613
611
609
586
570
539
516
514
509
507
500
adva
nced
hig
h
inte
rmedia
te
low
average
gra
de e
ight
ma
them
atics
Singapore
Malaysia
Thailand
Indonesia
International
48
2
2
0
3
78
12
8
2
17
92
36
26
15
46
99
65
55
43
75
611
440
427
386
500
adva
nced
high
inte
rmedia
te
low
ave
rage
gra
de e
ight
ma
them
atics
Singapore
Malaysia
Thailand
Indonesia
International
48
2
2
0
3
32
39
26
20
26
23
15
16
10
31
611
440
427
386
500
adva
nced
like m
ath
dislik
e m
ath
ave
rage
gra
de e
ight
ma
them
atics
Singapore
South Korea
Taiwan
Hong Kong
Japan
48
47
49
34
27
32
8
14
19
9
23
56
53
37
53
611
613
609
586
570
adva
nced
like m
ath
dislik
e m
ath
ave
rage
International 3 26 31 500
Singapore
International
82
52
pere
ntage
corr
ect
Singapore
International
52
27
pere
ntage
corr
ect
Singapore
International
45
23
pere
ntage
corr
ect
Singapore
International
60
25
pere
ntage
corr
ect
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