Experiencing Singapore MathSingapore Math Administrators Symposium Chicago 27 – 29 January 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
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
Method Used in Singapore Textbooks
TIMSS 2007Trends in International Mathematics and Science Studies
Mala
ysi
a
Sin
gapor
e
402
7018
8850
9782
Inte
rnati
onal
Experiencing Singapore Math
A C
G E
B
H
F
D
In the diagram, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 2 : 1.
What fraction of square ACEG is shaded?
Grade 6 National Test Item Singapore Examination and Assessment Board 2010
Experiencing Singapore Math
A C
G E
B
H
F
D
Experiencing Singapore Math
A C
G E
B
H
F
D
concreteintroduction
“… in which at some simple level a set of ideas or operations were introduced in a rather intuitive way …”
Bruner 1975, p.3-4
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
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Traditional Gift from Singapore ‘Five Stones’
Session From Concrete to Pictorial
Experiencing Singapore Math
emphasis visualization
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
Session Bar Model Method Where Does It All Lead To?
Experiencing Singapore Math
emphasis visualization
Experiencing Singapore Math
Experiencing Singapore Math
Experiencing Singapore Math
Dolphin show
Bird show
1235
275
1235 – 275 = ?
1235 – 235 – 40 = 960
960
1235 + 960 = ?
2235 – 40 = 2235 – 35 – 5 = 2195
2195 people attend both shows.
Experiencing Singapore Math
2 units = $24
1 unit = $12The book costs $12.
2 units = $24
Experiencing Singapore Math
Experiencing Singapore Math
3 units = $24
1 unit = $8The book costs $16.
3 units = $24
2 units = $16
Experiencing Singapore Math
3 units = $24
1 unit = $8
The book costs $32 ÷ 3 = $10.67. $24
4 units = $32
emphasis variation
emphasis variation
Session Variation, Not Repetition Teach Less, Learn More
Experiencing Singapore Math
Experiencing Singapore Math
emphasis variationconnections
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
Experiencing Singapore Math
How to make sure the butterfly cannot fly
How do you get a butterfly?
First there is the egg which hatches into a caterpillar. The caterpillar eats and grows. At the right time, it makes a cocoon out of its own body. While in the cocoon, the caterpillar changes into a butterfly.
When the butterfly is ready, it starts to break through the cocoon. First a hole appears. Then the butterfly struggles to come out through the hole. This can take a few hours.
If you try to "help" the butterfly by cutting the cocoon, the butterfly will come out easily but it will never fly. Your "help" has destroyed the butterfly.
The butterfly can fly because it has to struggle to come out. The pushing forces lots of enzymes from the body to the wing tips. This strengthens the muscles, and reduces the body weight. In this way, the butterfly will be able to fly the moment it comes out of the cocoon. Otherwise it will simply fall to the ground, crawl around with a swollen body and shrunken wings, and soon die.
If the butterfly is not left to struggle to come out of the cocoon, it will never fly.
We can learn an important lesson from the butterfly.
If we do not have struggles and challenges in our work, we will never grow strong and capable. If life has no difficulties, we will become weak and helpless.
Lim Siong Guan Head, Civil Service
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
Singapore Math Summer InstituteWorchester State University, MA 6-8 July 2011
where content meets pedagogyDr Yeap Ban Har Dr Richard Bisk Several Other Singapore Presenters
Contact [email protected]
Top Related