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MAP201 Teaching of Whole Numbers (1)
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
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
what
is singapore
      mathematics
Features of Singapore Math
                             Problem Solving & Thinking
                             Conceptual Understanding


                 CPA Approach
                     Spiral Approach
                           Variation Approach


        BIGIDEA: What to Teach and How to Teach It
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
BIGIDEA: Teaching How to Do
& Teaching Thinking About How to Do
Changing Face of Mathematics



   an
excellent
       vehicle
  for the development
   &improvement of
        a person’s intellectual
          competencies
                      Ministry of Education Singapore 2006
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
Hotel Plaza San Francisco, Santiago de Chile
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
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
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
Developing
 number
  sense




Developing
visualization
Key Competency
  Visualization
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)
yeapbanhar@gmail.com




Slides are available at www.banhar.blogspot.com
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
THINKING SCHOOLS
LEARNING NATION
        Singapore Ministry of Education 1997
21st Century Competencies Framework
Singapore Ministry of Education 2011
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
MAP201 Teaching of Whole Numbers (1)
Princess Elizabeth Primary School, Singapore




                                               Santiago de Chile
MAP201 Teaching of Whole Numbers (1)
Key Competency
Patterns & Relationships
MAP201 Teaching of Whole Numbers (1)

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MAP201 Teaching of Whole Numbers (1)

  • 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