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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
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introduction
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• Move 3 sticks to make 3 s uares.
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• Move 3 sticks to make 3 s uares.
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• Move 3 sticks to make 3 s uares.
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• Move 3 sticks to make 2 s uares.
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• Move 3 sticks to make 2 s uares.
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• Move 3 sticks to make 2 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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mathz4kidz Learning Centre, Penang, Malaysia
exper ences
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from
to
mathz4kidz Learning Centre, Penang, Malaysia
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fromto
All Kids Are Intelligent Series
h k d l
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mathz4kidz Learning Centre, Penang, Malaysia
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