Singapore Math Administrators Symposium, Nashville

Experiencing Singapore MathSingapore Math Administrators SymposiumNashville, Tennessee 24 – 25 January 2011

Yeap Ban Har [email protected]

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

Experiencing Singapore Math

thinkingtool


A C

G E

B

H

F

D

In the diagram, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 2 : 1.

What fraction of square ACEG is shaded?

Grade 6 National Test Item Singapore Examination and Assessment Board 2010


A C

G E

B

H

F

D


A C

G E

B

H

F

D

concreteintroduction















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

Bruner 1975, p.3-4


Traditional Gift from Singapore ‘Five Stones’

Session From Concrete to Pictorial


emphasis visualization











Session Bar Model Method Where Does It All Lead To?


emphasis visualization




2 units = $24

1 unit = $12The book costs $12.

2 units = $24



3 units = $24

1 unit = $8The book costs $16.

3 units = $24

2 units = $16


3 units = $24

1 unit = $8

The book costs $32 ÷ 3 = $10.67. $24

4 units = $32

emphasis variation

Session Variation, Not Repetition Teach Less, Learn More


emphasis variationconnections















Session Current Developments

in Mathematics Instruction in Singapore



thinkingRevision of the Curriculum

19922001

20072013

curriculum and standards

thinkingtextbooks

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.

thinkingpedagogy

PERI Report

2010

engagementpedagogy

engagementpedagogy

strugglingsystem-wide strategies learners

learning support programs

foundation programs

lessonstudyprofessional development

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

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

Contact [email protected]

Singapore Math Administrators Symposium, Nashville

Education

Singapore Math Administrators Symposium, Nashville