AMSTI Event, Birmingham, Alabama
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Transcript of AMSTI Event, Birmingham, Alabama
Experiencing Singapore MathSingapore Math Symposium Birmingham 15 April 2011
Yeap Ban Har [email protected]
www.marshallcavendish.com/education/mci
Session Mathematics as a Thinking Tool Importance of Initial Concrete Experiences Emphasis on Conceptual Understanding
Slides are available at www.banhar.com
Experiencing Singapore Math
a thinkingtool
mathematics
thinkingRevision of the Curriculum
19922001
20072013
curriculum and standards
Advanced
Intermediate
Low
High
Ind
onesi
a
Th
aila
nd
2 30
15 124
46 4414
75 6648
Grade 8
Woodlands Primary School
TIMSS 2007Trends in International Mathematics and Science Studies
Mala
ysi
a
Sin
gapor
e
402
7018
8850
9782
Inte
rnati
onal
Advanced
Intermediate
Low
High
Ind
onesi
a
Th
aila
nd
2 30
15 124
46 4414
75 6648
Grade 8
Woodlands Primary School
TIMSS 2007Trends in International Mathematics and Science Studies
Mala
ysi
a
Sin
gapor
e
402
7018
8850
9782
Inte
rnati
onal
Advanced
Intermediate
Low
High
Swed
en
Med
ian
U S
A
3 105
24 4026
69 7767
93 9590
Grade 4
TIMSSTrends in International Maths and Science Studies
Japa
n
Sing
apor
e
4123
7461
9289
9898Telok Kurau Primary School, Singapore
Advanced
Intermediate
Low
High
Aver
age
Hon
g Ko
ng
Sing
apor
e
2 4031
15 7064
46 8885
75 9794
Grade 8
TIMSSTrends in International Maths and Science Studies
Kore
a
Taiw
an
4540
7171
8690
9598Northlight School, Singapore
Reading Math ScienceShanghai
556Shanghai
600Shanghai
575Korea539
Singapore562
Finland554
Finland536
Hong Kong555
Hong Kong549
Hong Kong533
Korea546
Singapore 542
Singapore526
Taiwan543
Japan 539
PISA 2009Program for International Student Assessment
14.6% Shanghai and 12.3% Singapore students were at Level 5 and above for all three domains. The international average is 4.1%.
Experiencing Singapore Math
A B
D C
E
H
G
F
ABCD and EFGH are squares.
AE, BF, GC and HD are equal in length.
AE is twice as long as EB.
What fraction of square ABCB is shaded?
Grade 6 National Test Item Singapore Examination and Assessment Board
See Page 13
Experiencing Singapore Math
Experiencing Singapore Math
concreteintroduction
See Page 2
See Page 2
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
“… in which at some simple level a set of ideas or operations were introduced in a rather intuitive way …”
Bruner 1975, p.3-4
Princess Elizabeth Primary School
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Session From Concrete to Pictorial The Role of Visuals & Visualization
Experiencing Singapore Math
emphasis visualization
Experiencing Singapore Math
See Page 9
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
4
3
3
1
Experiencing Singapore Math
4
3
2
1
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
See Page 8
Show 2 ½.How many halves is equal to 2 ½?
Experiencing Singapore Math
See Page 8
33
21
Experiencing Singapore Math
See Page 6
Experiencing Singapore Math
See Page 7
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Da Qiao Primary School
Session Bar Model Method Focus on Thinking and Problem Solving
Experiencing Singapore Math
The Curriculum (Ministry of Education 2006)
emphasis thinking
Experiencing Singapore Math
Singapore Math in Chile
Experiencing Singapore Math
Experiencing Singapore Math
After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
2 units = $18
1 unit = $9The book costs $9.
2 units = $18
Experiencing Singapore Math
After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
18)]4
3(3
1
4
1[ xxx
Experiencing Singapore Math
After spending 1/4 of his allowance on a book and 1/2 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
3 units = $18
1 unit = $6The book costs $12.
3 units = $18
2 units = $12
Experiencing Singapore Math
After spending 1/4 of his allowance on a book and 1/4 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
3 units = $18
1 unit = $6
The book costs $24 ÷ 3 = $8. $18
4 units = $24
Session Current Developments
in Mathematics Instruction in Singapore
Experiencing Singapore Math
thinkingRevision of the Curriculum
19922001
20072013
curriculum and standards
thinkingtextbooks
thinkingpedagogy
PERI Report
2010
engagementpedagogy
engagementpedagogy
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.
strugglingsystem-wide strategies learners
learning support programs
foundation programs
lessonstudyprofessional development
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
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
Singapore Math Summer InstituteWorchester State University, MA 6-8 July 2011
where content meets pedagogyDr Yeap Ban Har Dr Richard Bisk Other Singapore Presenters
Contact [email protected]
This institute is modeled after teacher professional development in Singapore.