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Experiencing Singapore Maths Merton, London October 2012 Yeap Ban Har Marshall Cavendish Institute Singapore [email protected] Slides are available at www.banhar.blogspot.com
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Singapore Maths at Merton

May 21, 2015

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Jimmy Keng

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Page 1: Singapore Maths at Merton

Experiencing Singapore Maths M e r t o n , L o n d o n O c t o b e r 2 0 1 2

Yeap Ban Har

Marshall Cavendish Institute Singapore

[email protected]

Slides are available at

www.banhar.blogspot.com

Page 2: Singapore Maths at Merton

“Singapore” by Yeap Ken Min

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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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General Overview of Singapore and its

Education System

Page 5: Singapore Maths at Merton

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

Page 6: Singapore Maths at Merton

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

Today, about the

same proportion

achieve the

highest grade in

each of the four

subjects tested.

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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.

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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.

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Page 4

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Singapore

Taiwan

Japan

Hong Kong

Att

itu

de

Ac

hie

ve

me

nt

71 41

67 40

50 24

62 23

Gra

de

4

Kazakhstan

Russia

International

England

89 19

62 16

80 16

72 5

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Taiwan

Singapore

Hong Kong

S Korea

Att

itu

de

Ac

hie

ve

me

nt

37 45

33 40

60 40

47 31

Gra

de

8

Japan

England

International

Hungary

30 26

30 10

40 8

54 2

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Shanghai

Hong Kong

S Korea

Singapore

Me

an

600

562

555

546

15

ye

ar-

old

s

Taiwan

Liechtenstein

International

Finland

543

541

536

496

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110 g

290 g

Page 2

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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.

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Professional Development at Merton, London

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Escuela de Guetamala, Chile

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x + 2x = 12

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Globe Academy, London

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Edgewood Elementary School, New York

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Experiencing Singapore Math Initial Concrete Experiences & Building Conceptual Understanding

Yeap Ban Har

Marshall Cavendish Institute Singapore

[email protected]

Slides are available at

www.banhar.blogspot.com

Page 24: Singapore Maths at Merton

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Relational Understanding

R Skemp

Concrete Introduction J Bruner

Junyuan Secondary School, Singapore

what & how

Page 08

Page 13

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Page 5

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3 fourths 4 = 12 sixteenths 4 = 3 sixteenths

3 fourths 4 = 1

3

4

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Professional Development at Merton, London

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Sin

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Mat

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Share 3 fourths equally among 3.

3 fourths 3 = 1 fourth

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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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Using bar model to introduce solving

algebraic equations

Solve 7 – 3y = 1 .

7

3y 1

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Experiencing Singapore Math Emphasis on Number Sense & Visualization

Yeap Ban Har Marshall Cavendish Institute

Singapore

[email protected]

Slides are available at

www.banhar.blogspot.com

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King Solomon Academy, London

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King Solomon Academy, London

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King Solomon Academy, London

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Globe Academy, London

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Globe Academy, London

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Globe Academy, London

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Allfarthing Primary School, London

Teaching Multiplication Facts

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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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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)

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Visuals are used to teach

concepts – distributive

property of multiplication

– without using formal

terms.

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Primary Mathematics (Third Edition)

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emphasis visualization

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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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