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This was the opening plenary lecture at the Forum. It was attended by reoresentatives of various Ministries of Education and Departments of Education.
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Da Qiao Primary School, Singapore
St Edward School, Florida
Plenary Session
Average Learners, High Achievement: The Case of Mathematics Learning Dr Yeap Ban HarPrincipal, Marshall Cavendish Institute
Average Learners High
Achievement
International Studies
Students in Singapore have demonstrated high achievement and positive attitude towards mathematics.
In Trends in Mathematics and Science Study, about 40% of Singapore’s 4th and 8th graders are in the Advanced International Benchmark (the international average is 5% and 2% respectively).
Advanced
Intermediate
Low
High
199
5
200
3
200
7
38 4138
70 7473
89 9291
96 9897
Gra
de 4
Inte
rnati
on
al
5
26
67
90
Advanced
Intermediate
Low
High
Aver
age
Hon
g Ko
ng
Sing
apor
e
2 4031
15 7064
46 8885
75 9794
S. K
orea
Taiw
an
4540
7171
8690
9598
Gra
de 8
Junyuan Secondary School, Singapore
TIMSSTrends in International Mathematics and Science Studies
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
Fuchun Primary School, Singapore
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
Fuchun Primary School, Singapore
The attitude index for Singapore students in TIMSS is also relatively high compared to other high-performing countries.
Also, the majority of students in Singapore opt to study mathematics in Grades 11 and 12 when they are no longer required to.
Marsiling Secondary School, Singapore
Singapore
Taiwan
Japan
Hong Kong
Att
itude
Ach
ievem
en
t
71 41
67 40
50 24
62 23
Gra
de 4
Kazakhstan
Russia
International
England
89 19
62 16
80 16
72 5
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
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
Average Learners High
Achievement
Focus of School Mathematics
rationaleThe rationale of teaching mathematics is that it is “a
good vehicle for the development and improvement of a person’s intellectual competence”.
Wellington Primary School
Thinking Schools Learning Nations
This initiative was introduced in 1997. Since then Ministry of Education in Singapore has been injecting various initiatives into the system. These initiatives are intended to give schools the impetus to refine their programs to include the development of generic competencies.
National ExaminationSingapore has six years of compulsory primary education. The Primary School Leaving Examination (PSLE) is conducted at the end of this.
Singapore Examination & Assessment Board
Singapore Examination & Assessment Board
A restaurant had the same number of apples, oranges and pears at firstAfter 38 pears, some apples and oranges were used, there were 90 fruits left.
Singapore Examination & Assessment Board
Number of Apples
Number of Oranges
Number ofPears
A restaurant had the same number of apples, oranges and pears at first
Number of Apples
Number of Oranges
Number ofPears
After 38 pears, some apples and oranges were used, there were 90 fruits left.There were twice as many apples as oranges left
38
Singapore Examination & Assessment Board
A restaurant had the same number of apples, oranges and pears at first
Number of Apples
Number of Oranges
Number ofPears
After 38 pears, some apples and oranges were used, there were 90 fruits left.
38
There were twice as many apples as oranges left.The number of pears left was 15 fewer than the number of apples left.
90
15
Singapore Examination & Assessment Board
A restaurant had the same number of apples, oranges and pears at first
Number of Apples
Number of Oranges
Number ofPears
After 38 pears, some apples and oranges were used, there were 90 fruits left.
38
There were twice as many apples as oranges left.The number of pears left was 15 fewer than the number of apples left.
90
15
Singapore Examination & Assessment Board
A restaurant had the same number of apples, oranges and pears at first
Number of Apples
Number of Oranges
Number ofPears
After 38 pears, some apples and oranges were used, there were 90 fruits left.
38
There were twice as many apples as oranges left.The number of pears left was 15 fewer than the number of apples left.
90
15
Singapore Examination & Assessment Board
105 : 5 = 21
5 units = 90 + 15 = 105
Number of pears = 21 + 21 + 23 =65Number of oranges used = 65 – 21 = 44
Archipelschool De Tweemaster – Kameleon
The Netherlands
Average Learners High
Achievement
Pedagogy
Math in Focus
Pensar sin Limites (Spanish Edition)
Pensar sin Limites (Spanish Edition)
Maths Champion (Indonesian Edition)
Primary Mathematics (Standards Edition)
Primary Mathematics (Standards Edition)
Princess Elizabeth Primary School, Singapore
My Pals Are Here! Mathematics (Second Edition)
My Pals Are Here! Mathematics (Second Edition)
My Pals Are Here! Mathematics (Second Edition)
Initial Concrete
Experience
Subsequent Pictorial
RepresentationMy Pals Are Here! Mathematics (Second Edition)
St Edward School, Florida
Eventual Symbolic
Representation
My Pals Are Here! Mathematics (Second Edition)
Average Learners High
Achievement
Critical Factors
DirectionCurriculum That Focuses on 21st Century SkillsArchipelschool De Tweemaster – Kameleon,
The Netherlands
King Solomon Academy,London
High School Attached to Tsukuba University.Japan
PushNational Examination
Bukit View Primary School, Singapore
Pathlight School, Singapore
SupportTextbooks & Professional Development
Primary Mathematics (Standards Edition)
Keys Grade School, The Philippines
Lesson Study at Da Qiao Primary School, Singapore
In-service Professional Development in Chile
Pre-service Teacher Education in Singapore
In-service Professional Development in The Philippines
SynopsisSingapore's mathematics education has attracted international attention because of the high performance of its average learners. This plenary lectures explains what school mathematics should focus on, how the subject can be taught to make it accessible and useful to all learners, and what the critical factors are in supporting an education system where its average learners have high achievement. The speaker show how Singapore has used international research literature to benefit its students.
PCF Kindergarten Pasir Ris West, Singapore