rex book store & shinglee publishers seminar

S INGAPORE

M A T H

d r y e a p b a n h a r

P E DAGO GI E S o f

S I N G A P O R E M AT H

S INGAPORE

M A T H d r y e a p b a n h a r

c o n s u l t a n t , s h i n g l e e p u b l i s h e r s

y e a p b a n h a r @ g m a i l . c o m

S l i d e s a r e a v a i l a b l e a t

w w w . r e x i n t e r a c t i v e . c o m / t e a c h e r s l o u n g e

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h ow

P E DAGO GI E S o f


i n t r o d u c t i o n

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

Singapore

Land

270 sq miles

700 sq km

People

5.3 million

GDP per capita

1965 USD500

1980 USD5 000

2011 USD50 000 in current USD

introduction


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.

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


science


reading


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

PISA2009

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FOCUS ON

p r o b l e m s o l v i n g


p r o b l e m s o l v i n g

FOCUS ON

t h i n k i n g

S o u r c e : S i n g a p o r e E x a m i n a t i o n a n d A s s e s s m e n t B o a r d

Hong & Jeya Problem Let’s discuss a problem from the

recent national test for Grade 6

Singapore students.

Every minute Hong travelled 15 m more than Jeya.

Travel time = 240 15 = 16 min

Distance = 70 m x 16 = 700 m + 350 m + 70 m

= 1120 m

(a) Hong cycled 240 m more than Jeya.

(b) Jeya cycled 1120 m.


Hong’s

House

Jeya’s

House

Bakery Library

FOCUS ON

t h i n k i n g


Mathematics is “an excellent

vehicle for the development and

improvement of a person’s

intellectual competence”. Ministry of Education Singapore 2006

P40 – P26.50 = P13.50

P13.50 x 7 = P70 + P21 + P3.5

P13.50 x 7 = P94.50

Sam saves P94.50 in 7 days.


P15.50 x 6 = P90 + P3

Kate got back 7 pesos.

P15.50 x 6 = P93


w h a t

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P E DAGO GI E S o f




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

2013 New editions of textbooks are

published with the revision of the curriculum.


Competencies

for the 21st

Century

7800 6

6000 6 1800 6

= 1300

P650 x 13

= P6500 + P1800 + P150

= P8450

P650 x 13

FOCUS ON

v i s u a l i z a t i o n



Learning Task

Guided Practice

Independent Practice

Learning Task

Teach Less, Learn More


concrete

pictorial

abstract

Guided Practice


Learning Task


Guided Practice


Independent Practice


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P E DAGO GI E S o f




Initial Concrete Experience


12.3

12 0.3 0.30


FOCUS ON

v i s u a l i z a t i o n


FOCUS ON

p a t t e r n s


FOCUS ON

n u m b e r s e n s e
