Experiencing Singapore MathSingapore Math Symposium Birmingham 15 April 2011

Yeap Ban Har banhar@sg.marshallcavendish.com

www.marshallcavendish.com/education/mci

Session Mathematics as a Thinking Tool Importance of Initial Concrete Experiences Emphasis on Conceptual Understanding

Slides are available at www.banhar.com

Experiencing Singapore Math

a thinkingtool

mathematics

thinkingRevision of the Curriculum

19922001

20072013

curriculum and standards

Advanced

Intermediate

Low

High

Ind

onesi

a

Th

aila

nd

2 30

15 124

46 4414

75 6648

Grade 8

Woodlands Primary School

TIMSS 2007Trends in International Mathematics and Science Studies

Mala

ysi

a

Sin

gapor

e

402

7018

8850

9782

Inte

rnati

onal

Advanced

Intermediate

Low

High

Ind

onesi

a

Th

aila

nd

2 30

15 124

46 4414

75 6648

Grade 8

Woodlands Primary School

TIMSS 2007Trends in International Mathematics and Science Studies

Mala

ysi

a

Sin

gapor

e

402

7018

8850

9782

Inte

rnati

onal

Advanced

Intermediate

Low

High

Swed

en

Med

ian

U S

A

3 105

24 4026

69 7767

93 9590

Grade 4

TIMSSTrends in International Maths and Science Studies

Japa

n

Sing

apor

e

4123

7461

9289

9898Telok Kurau Primary School, Singapore

Advanced

Intermediate

Low

High

Aver

age

Hon

g Ko

ng

Sing

apor

e

2 4031

15 7064

46 8885

75 9794

Grade 8

TIMSSTrends in International Maths and Science Studies

Kore

a

Taiw

an

4540

7171

8690

9598Northlight School, Singapore

Reading Math ScienceShanghai

556Shanghai

600Shanghai

575Korea539

Singapore562

Finland554

Finland536

Hong Kong555

Hong Kong549

Hong Kong533

Korea546

Singapore 542

Singapore526

Taiwan543

Japan 539

PISA 2009Program for International Student Assessment

14.6% Shanghai and 12.3% Singapore students were at Level 5 and above for all three domains. The international average is 4.1%.

Experiencing Singapore Math

A B

D C

E

H

G

F

ABCD and EFGH are squares.

AE, BF, GC and HD are equal in length.

AE is twice as long as EB.

What fraction of square ABCB is shaded?

Grade 6 National Test Item Singapore Examination and Assessment Board

See Page 13

Experiencing Singapore Math

Experiencing Singapore Math

concreteintroduction

See Page 2

See Page 2

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

“… in which at some simple level a set of ideas or operations were introduced in a rather intuitive way …”

Bruner 1975, p.3-4

Princess Elizabeth Primary School

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Session From Concrete to Pictorial The Role of Visuals & Visualization

Experiencing Singapore Math

emphasis visualization

Experiencing Singapore Math

See Page 9

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

4

3

3

1

Experiencing Singapore Math

4

3

2

1

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

See Page 8

Show 2 ½.How many halves is equal to 2 ½?

Experiencing Singapore Math

See Page 8

33

21

Experiencing Singapore Math

See Page 6

Experiencing Singapore Math

See Page 7

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Experiencing Singapore Math

Da Qiao Primary School

Session Bar Model Method Focus on Thinking and Problem Solving

Experiencing Singapore Math

The Curriculum (Ministry of Education 2006)

emphasis thinking

Experiencing Singapore Math

Singapore Math in Chile

Experiencing Singapore Math

Experiencing Singapore Math

After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.

2 units = $18

1 unit = $9The book costs $9.

2 units = $18

Experiencing Singapore Math

After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.

18)]4

3(3

1

4

1[ xxx

Experiencing Singapore Math

After spending 1/4 of his allowance on a book and 1/2 of the remainder on stationery, Jon has $18 left. Find the cost of the book.

3 units = $18

1 unit = $6The book costs $12.

3 units = $18

2 units = $12

Experiencing Singapore Math

After spending 1/4 of his allowance on a book and 1/4 of the remainder on stationery, Jon has $18 left. Find the cost of the book.

3 units = $18

1 unit = $6

The book costs $24 ÷ 3 = $8. $18

4 units = $24

Session Current Developments

in Mathematics Instruction in Singapore

Experiencing Singapore Math

thinkingRevision of the Curriculum

19922001

20072013

curriculum and standards

thinkingtextbooks

thinkingpedagogy

PERI Report

2010

engagementpedagogy

engagementpedagogy

thinkingnational test of a group of children are boys.

of the boys and 210 girls chose to go on a school trip.

of the children chose not to go on the school trip.

How many children chose to go on the school trip?

4

3

6

5

5

1

210

5

1

8

3 40

7

5

1

8

3

21040

7

3040

1 9603032

40

32

960 children chose to go.

technologynational test

A type of candy costs 40 cents each.Find the largest number of candies that can be bought with $95.

$95 ÷ 40 cents = 367.5

The largest number of candies that can be bought is 367.

strugglingsystem-wide strategies learners

learning support programs

foundation programs

lessonstudyprofessional development

Advanced

Intermediate

Low

High

Gra

de 4

19

95

38

70

89

96

TIMSSTrends in International Mathematics and Science Studies

Gra

de 8

19

9942

77

94

99

Gra

de 4

20

03

Gra

de 8

20

07

38

73

91

97

40

70

88

97

Taiwan

Singapore

Hong Kong

S Korea

Att

itude

Ach

ievem

en

t

37 45

33 40

60 40

47 31

Gra

de 8

Japan

England

International

Hungary

30 26

30 10

40 8

54 2

Singapore Math Summer InstituteWorchester State University, MA 6-8 July 2011

where content meets pedagogyDr Yeap Ban Har Dr Richard Bisk Other Singapore Presenters

Contact melissaooi@sg.marshallcavendish.com

This institute is modeled after teacher professional development in Singapore.