Highline Session 3 at Parkside Elementary

Singapore Math at Highline Public Schools March 2013 Session 3 Parkside Elementary School Yeap Ban Har www.banhar.blogspot.com

The Merlion by Yeap Ken Min

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

What is Singapore Math? Thinking and Problem Solving

Nanyang Primary School, Singapore

Mathematics is “an excellent vehicle for

the development and improvement of a

person’s intellectual competence”.

Ministry of Education, Singapore (2006)

thinkingschools learningnation

Ministry of Education, Singapore (1991, 2000, 2006, 2012)

Singapore Math The CPA Approach, The Spiral

Approach and Emphasis on Relational

Understanding Globe Academy, London

Singapore Math The CPA Approach

Singapore Math The CPA Approach

6

2 13

Singapore Math The CPA Approach

3

2

2

1

3

1

3

2

2

1

3

1

1

1

concrete

pictorial

abstract

Seely Place Elementary School, New York

Seely Place Elementary School, New York

Seely Place Elementary School, New York

5

4

4

3

Singapore Math Three-Part Lesson Structure

Extended Engagement

with One Task

Teach Less, Learn More

w w w . b a n h a r . b l o g s p o t . c o m

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure

Singapore Math Three-Part Lesson Structure: Guided Practice

Singapore Math Three-Part Lesson Structure

Singapore Math The Spiral Approach

Singapore Math The Spiral Approach

Singapore Math Anchor Task

Guided Practice

Independent Practice

J Bruner Enactive, Iconic, Symbolic

Representations

Edgewood Elementary School, New York

Bina Bangsa School, Indonesia

Z Dienes Play Structured Learning

Practice

L Vygotsky Interaction

Pathlight School, Singapore

Bina Bangsa School, Indonesia

Globe Academy, London

R Skemp Relational and Instrumental

Understanding

H Gardner Multiple Intelligences

Keys Grade School, Manila

Seely Place Elementary School, New York

Observing patterns and

making generalizations

involves reflection.

Student Achievement Average Learners Performing

Well

Pathlight School, Singapore

Singapore Math allows

average learners perform at

a high level. The following

are some data from some

international research on

math achievement and

attitude.

East Coast Primary School, Singapore

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

International

43

39

37

34

30

24

10

12

18

13

4

78

80

80

74

70

59

50

49

49

47

28

94

97

96

93

93

86

89

85

78

82

69

99

100

99

99

99

96

99

98

93

97

90

606

605

602

591

585

562

549

545

542

542

500

adva

nced

hig

h

inte

rmedia

te

low

average

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 Math at Highline Public Schools March 2013 Yeap Ban Har [email protected]

The Merlion by Yeap Ken Min