This document provides information about a teaching workshop on whole numbers based on the Singapore Math approach. It discusses key features of Singapore Math like problem solving, conceptual understanding, and varying approaches. It also mentions developing number sense and visualization as important competencies. The document provides contact information for the workshop and references Singapore's curriculum and focus on 21st century competencies in mathematics education.

2. M A P 2 0 1 T EA C H I N G O F W H O L E N U M B E R S
Pa r t 1
Dr Yeap Ban Har
yeapbanhar@gmail.com
Marshall Cavendish Institute Singapore
www.mcinstitute.com.sg
www.facebook.com/MCISingapore
www.banhar.blogspot.com

3. yeapbanhar@gmail.com
Marshall Cavendish Institute Singapore
www.banhar.blogspot.com
Singapore Curriculum document is at
www.moe.edu.sg under Syllabuses
MCI’s website is www.mcinstitute.com.sg Course
Prospectus is available there. Look at Events on MCI’s
Facebook www.facebook.com/MCISingapore for
schedule for the year.
Singapore Math Institute in Singapore on 26 – 27
November. There is a lesson study conference (WALS
2012) in Singapore after that. E-mail
GeraldynSng@sg.marshallcavendish.com for details

4. what
is singapore
mathematics

5. Features of Singapore Math
Problem Solving & Thinking
Conceptual Understanding
CPA Approach
Spiral Approach
Variation Approach
BIGIDEA: What to Teach and How to Teach It

8. BIGIDEA: Teaching How to Do
& Teaching Thinking About How to Do

9. Changing Face of Mathematics
an
excellent
vehicle
for the development
&improvement of
a person’s intellectual
competencies
Ministry of Education Singapore 2006

12. Hotel Plaza San Francisco, Santiago de Chile

13. Successful methods include
arranging the cards in a row and
moving cards which have been
removed by moving them
upwards (see photograph on the
left).
Another method is to use a
drawing (see photograph below).
Hotel Plaza San Francisco, Santiago de Chile

14. While the content is ordinal number
(position in space), students are engaged
in solving a problem.
The version of the problem for students is
likely to have them place the cards in the
correct positions and try out the trick
themselves.
Arrange the cards in this way.
1 is 4th from the left.
2 is 3rd from the right.
3 is 5th card from the left and 6th card from the
right.
4 is the 1st card from the left and 7 is the 1st
card from the right.
The 2nd card from the left is 9. The 2nd card
from the right is 5.
6 is the 6th card from the left.
8 is between 2 and 6.
Which card is it?
How about 10?
Megatrade Conference Center, Manila, The Philippines

17. Developing
number
sense
Developing
visualization

18. Key Competency
Visualization

19. M A P 2 0 1 T EA C H I N G O F W H O L E N U M B E R S
Discussion
• Is Singapore Math consistent with 21st
Century Competencies?
• How to deal with struggling students?
• Learning support programmes in
Grades 1 – 2
• Foundation Mathematics in Grades
5 – 6 (See Maths Works)

20. yeapbanhar@gmail.com
Slides are available at www.banhar.blogspot.com

23. THINKING SCHOOLS
LEARNING NATION
Singapore Ministry of Education 1997

24. 21st Century Competencies Framework
Singapore Ministry of Education 2011

30. Princess Elizabeth Primary School, Singapore
Santiago de Chile

32. Key Competency
Patterns & Relationships