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1. Slides are available at
www.banhar.blogspot.com
Singapore Math
Implementing
Common Core State
Standards
Dr. Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
www.facebook.com/MCISingapore
3. “Upon separation from Malaysia in 1965, Singapore
was faced with … high levels of unemployment and
poverty. 70% of Singapore’s households lived in badly
overcrowded conditions, and a third of its people
squatted in slums on the city fringes. Unemployment
averaged 14%, GDP per capita was less than $2,700,
and half of the population was illiterate. “
7. Country
% of Low
Performers
% of High
Performers
Mean
Singapore
8.3
40.0
573
Vietnam
14.2
13.3
511
Thailand
49.7
2.6
427
Malaysia
51.8
1.3
421
Indonesia
75.7
0.3
375
OECD
23.1
12.6
494
| PISA 2012
8. Country
% of Low
Performers
% of High
Performers
Mean
Shanghai
3.8
55.4
613
Singapore
8.3
40.0
573
Hong Kong
8.5
33.7
561
South Korea
9.1
30.9
554
Japan
11.1
23.7
536
Finland
12.3
15.3
519
OECD
23.1
12.6
494
| PISA 2012
9. What is Essential in Mathematics Literacy
Let’s look at what international assessment (PISA) for 15-year-olds and
Smarter Balanced Assessment for Hawaii State test suggest.
17. What is Essential in Mathematics Literacy
What should students be learning in mathematics and what are the
implications for classroom practices?
18. What is Essential in Mathematics Literacy
What should students be learning in mathematics and what are the
implications for classroom practices?
communication
metacognition
number sense
visualization
patterns
19. What is Basics?
The state standards (in this case Common Core State Standards)
outline what the basics are. In the next three examples, the
standards suggest that (Kindergarten) knowing that 12 is 10 and 2 is
basic, (Grade 5) being able to add and subtract mixed numbers with
different denominators is basic and (High School Algebra) being able
to solve simple equations is basic.
28. Teaching for Meaning Making
Concrete Materials
Students are given
bags of 6 beans
each
Anchor Task
How many beans in
4 such bags?
Students Talking
Multiple Responses
Count all
Repeated addition
Multiplication
Board Writing
Student Journal
Meaning Making
4 x 6 is the same as 4 bags of
6 beans. Also linking new
materials (multiplication) to old
materials (addition).
29. Teaching for Meaning Making
How do I know if I
have taught in a
meaningful way?
• Link to previous
knowledge
• Link to a
concrete
scenario
• Students can
extend their
thinking.
31. Teaching for Meaning Making
Use of Textbooks
Suggest the kind of
anticipated
responses (add
another six, double,
associative
property and
subtraction
strategy)
As a reflection tool
for students at the
end of the
discussion (“Let’s see
how they do it.”)