amsti event, birmingham, alabama
DESCRIPTION
The slides for Experiencing Singapore Math - Birmingham Edition.TRANSCRIPT
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Experiencing Singapore MathSingapore Math Symposium Birmingham 15 April 2011
Yeap Ban Har [email protected]
www.marshallcavendish.com/education/mci
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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
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a thinkingtool
mathematics
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thinkingRevision of the Curriculum
19922001
20072013
curriculum and standards
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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
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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
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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
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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
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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%.
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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
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Experiencing Singapore Math
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Experiencing Singapore Math
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concreteintroduction
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See Page 2
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See Page 2
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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“… 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
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Session From Concrete to Pictorial The Role of Visuals & Visualization
Experiencing Singapore Math
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emphasis visualization
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Experiencing Singapore Math
See Page 9
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
4
3
3
1
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Experiencing Singapore Math
4
3
2
1
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
See Page 8
Show 2 ½.How many halves is equal to 2 ½?
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Experiencing Singapore Math
See Page 8
33
21
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Experiencing Singapore Math
See Page 6
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Experiencing Singapore Math
See Page 7
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
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Experiencing Singapore Math
Da Qiao Primary School
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Session Bar Model Method Focus on Thinking and Problem Solving
Experiencing Singapore Math
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The Curriculum (Ministry of Education 2006)
emphasis thinking
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Experiencing Singapore Math
Singapore Math in Chile
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Experiencing Singapore Math
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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
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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
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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
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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
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Session Current Developments
in Mathematics Instruction in Singapore
Experiencing Singapore Math
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thinkingRevision of the Curriculum
19922001
20072013
curriculum and standards
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thinkingtextbooks
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thinkingpedagogy
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PERI Report
2010
engagementpedagogy
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engagementpedagogy
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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.
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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.
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strugglingsystem-wide strategies learners
learning support programs
foundation programs
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lessonstudyprofessional development
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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
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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
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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.