4.16.24 21st Century Movements for Black Lives.pptx
The Blake School's Seminar for Parents
1. Seminar on Mathematics Learning
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
4. Land
270 sq miles
700 sq km
introduction
People
5.3 million
GDP per capita
1965 USD500
2011 USD50 000
Junyuan Secondary School, Singapore
in current USD
5. High achievement was
not a given. In 1960, among the
30,615 candidates who sat for the first
Primary School Leaving Examination, 45%
of the candidates passed.
Today, about the
same proportion
achieve
the
highest grade in
each of the four
subjects tested.
Keon Ming Public School, Singapore
6. Southeast Asian nations did not
do well …
Score
1960-1970s
500
Japan
Japan
Korea
Hong Kong
400
Thailand
1990s
2000s
… in science,
Japan
Japan
Korea
Korea
mathematics
Singapore
Hong Kong
Hong Kong
Singapore
and literacy.
Malaysia
Malaysia
1980s
Singapore
Thailand
The Philippines
300
Thailand
Thailand
Indonesia
Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
7.
8.
9.
10.
11.
12. 1982
Introduction of Singapore mathematics
textbooks as they are known today.
1992
Introduction of ProblemSolving Curriculum
1997
Thinking Schools
Learning Nation
Mathematics is “an excellent
vehicle for the development and
improvement of a person’s
intellectual competence”.
Ministry of Education Singapore 2006
13. We started off badly but we
have managed to help our
students in learning math.
14. By 1990’s, Singapore has
buckled the trend …
Score
1960-1970s
1980s
1990s
2000s
500
Japan
Japan
Korea
Hong Kong
Japan
Korea
Hong Kong
Singapore
Japan
Korea
Hong Kong
Singapore
400
Thailand
Singapore
Thailand
The Philippines
Malaysia
Thailand
Malaysia
Thailand
300
Indonesia
Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
15. All major international tests (literacy, science and mathematics) between 1964
and 2003 were placed on a common scale. Selected countries shown in the table.
Score
1960-1970s
1980s
1990s
2000s
500
Japan
Japan
Korea
Hong Kong
Japan
Korea
Singapore
Hong Kong
Japan
Korea
Hong Kong
Singapore
400
Thailand
Singapore
Thailand
The Philippines
Malaysia
Thailand
Malaysia
Thailand
300
Indonesia
Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
30. 3
5
A number (x) is
of a second number (y).
The sum of the two numbers (x and y) is 120.
King Solomon Academy, London UK
31. 3
5
A number is
of a second number.
The sum of the two numbers is 120.
120
80
8 units = 120
1 units = 120 8
1 units = 15
One of the numbers is 3 x 15 = 45.
The greater number is 5 x 15 = 75.
40
32. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contains 116 books.
Edgewood Elementary School, New York
33. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contains 116 books.
Box C
Box A
Box B
20
116
34. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contains 116 books.
Box C
x
Box A
x
Box B
x
116
20
x
35. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contains 116 books.
Box C
Box A
24
116 – 20 = 116 – 16 – 4 = 96
20
4 units = 96
4 units = 80 + 16
24
1 units = 96 4 =
Box B
24
24
Box A ….
36. Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contains 116 books.
x + 20 + x + 2x = 116
4x + 20 = 116
4x = 116 – 20 = 96
Box C
x
Box A
x
Box A …
Box B …
Box C …
x
Box B
x = 96 4 = 24
20
x