math in singapore

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Mathematics Teaching& Learning in

ngapore emen arySchools

This presentation is madepossible by

SingaporeMath.Com Inc.. .

Yeap Ban-Har, Ph.D.National Institute of Education

Nanyang Technological Universityngapore

[email protected]


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introduction


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• Move 3 sticks to make 3 s uares.


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A Problem

from Singapore Grade 6 National Test

Jim bought some chocolates and half of them toKen. Ken bought some sweets and gave half of .

chocolates. After that, the number of sweets and

chocolates Jim had were in the ratio 1 : 7 and thenumber of sweets and chocolates Ken had were inthe ratio 1 : 4. How many sweets did Ken buy?


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Jim bought some chocolates and half of them to Ken. Ken

bought some sweets and gave half of them to Jim. Jim ate12 sweets and Ken ate 18 chocolates. After that, thenumber of sweets and chocolates Jim had were in the

chocolates sweets

had were in the ratio 1 : 4. How many sweets did Ken buy?

Jim 1

2

Ken 12

18

12

12

12

12

3 parts 12 + 12 + 12 + 12 + 18 = 661 part 22

Half of the sweets Ken bought = 22 + 12 = 34So Ken bought 68 sweets.`


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A Problem

•from a Singapore Classroom

competition. 1/3 of the boys and 3/7 of the.

children wore swimming goggles.

that day?

Fairfield Methodist Primary School


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88

34 54

• 88 children took part in a swimming competition. 1/3 of the boys and 3/7

of the girls wore swimming goggles. Altogether 34 children woreswimming goggles.

How many girls wore swimming goggles on that day?


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54 – 34 = 2034 – 20 = 14

34 54


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3 x 7 = 2121 girls wear goggles.

A Curriculum That Helps Average

Reach High

Achievement


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TIMSS 2007Trends in International Mathematics and Science Studies

5 3 7

1 9 2 0 2 0Grade 4

High 70 7473

Intermediate

Low

89 9291

96 9897

Catholic High School (Primary)


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TIMSS 2007Trends in International Mathematics and Science Studies

r a g e

n e s i a

l a n d

y s i a

p o r e

A v e

I n d o

T h aGrade 8

M

a l

S i n g

High 15 124 7018

Intermediate

Low

46 4414

75 6648

8850

9782

Effective Methods in Teaching Mathematics


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mathematics

Bina Bangsa School, Indonesia


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Primary Mathematics 1A

Pedagogical Principle:

Bruner


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Bonds

PCF Kindergarten Telok Blangah


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Bruner Division

The concrete pictorial abstract a roach is used to help the majority of

learners to

develop

mathematics.

National Institute of Education


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Division

Photo: Princess Elizabeth Primary School


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summary

Elementary School in Chile


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Fraction Division

Primary Mathematics Standards Edition Grade 6


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mathz4kidz Learning Centre, Penang, Malaysia

runer s t eory

Lesson from Earlybird Kindergarten Mathematics


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exper ences


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from

to



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fromto

All Kids Are Intelligent Series

h k d l


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symbols


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using

material s

Ateneo Grade School, Manila, The Philippines

A Public School in Chile

P i M th ti


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Primary Mathematics

c or a

e ore

Abstract


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summarycars a e e c oo ew or


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Dienes

Dienes encoura ed the use of variation in mathematics education – perceptual variation andmathematical variation.

Pedagogical

Principle:Dienes

Primary Mathematics Standards Edition

Primary Mathematics


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Pedagogical

Principle:Dienes

Primary Mathematics


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Pedagogical Principle:

Dienes

Primary Mathematics


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1 h = 60 min

÷ =

15 x 3 = 45

x =

Primary Mathematics


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Mathematical Variation

16

Primary Mathematics


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16

Mathematical

30Variation

Primary Mathematics


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A Singapore Textbook for Kindergarten


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g p g

’theoryvar at on


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’theoryvar at on


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’theoryvar at on


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e

o o

l , S i n g a p o r

P r i m a r y

S c

h

F u c

h u

Vygotsky’s

TheoryChildren Learn

Situations


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summary

r ncess za e r mary c oo , ngapore


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Emphasis on pictorial

represen a on and systematic

enhance conceptual

understanding


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s emp stheor

understandinBina Bangsa School, Semarang, Indonesia


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Keys Grade School, Manila, The Philippines

Keys Grade School Manila The Philippines


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Keys Grade School, Manila, The Philippines


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conclusion

PCF Kindergarten Pasir Ris

Fuchun Primary School


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Mathematics is an

the development and improvement of a person’s intellectual

competence ..

Ministry of Education 2006


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Bina Bangsa School Bandung

Patterns


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Patterns

Bina Bangsa School Bandung


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SD Negeri in PalembangVisualization


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Teacher Training for LEAP Programmefor Public School Teachers in ManilaVisualization


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mathz4kidz Learning Centre in MalaysiaCommunication


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Pathlight School, Singapore

Communication


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Wellington Primary School

Balestier Hill


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Primar School

Primary Mathematics Syllabus 2007


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“Children are truly the


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Children are truly thefutureof our nation “

Irving Harris

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math in singapore