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Experiencing
                                       Singapore Math
Experiencing Singapore Math
      Newark  East Brunswick

              Yeap Ban Har
        Marshall Cavendish Institute
                 Singapore

          yeapbanhar@gmail.com

             Slides are available at
         www.banhar.blogspot.com
Experiencing
                                                          Singapore Math
                               Land
                                 270 sq miles

                               People
               introduction      4.7 million

                               GDP per capita
                                 1965 USD510

                                 2010 USD43,300
                                         in current USD
Junyuan Secondary
School, Singapore
General Overview of Singapore and
      its Education System
General Overview of Singapore and
        its Education System
 Students
   500 000

 Teachers
   30 000

 Principals & Vice-Principals
   900

 Schools
   173 Primary Schools (Primary 1 – 6)
   155 Secondary Schools (Secondary 1 – 4)
     13 Junior Colleges (JC 1 – 2)                                           Canossa Convent Primary School,
     15 Mixed-Level Schools                                                  Singapore

  The data refers to 1-12 school system. Pre-school is not part of the formal education
  system. The data excludes post-secondary education system which includes institutes
  of technical education, polytechnics and universities.
High achievement was not a given. In
1960, among 30 615 candidates who
sat for the first Primary School Leaving
Examination, 45% of the candidates
passed.




  Keon Ming Public School, Singapore
Experiencing
                                                                                                Singapore Math
 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                  Japan         Japan
                                                 Korea                  Korea         Korea
                                               Hong Kong              Singapore     Hong Kong
                                                                      Hong Kong     Singapore
       400                Thailand            Singapore               Malaysia       Malaysia
                                               Thailand               Thailand       Thailand
                                            The Philippines
       300                                                          Indonesia       Indonesia
                                                                  The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
Experiencing
                                                                                      Singapore Math
                  1982
Introduction of Singapore mathematics
  textbooks as they are known today.
                                         Mathematics is “an excellent
                                          vehicle for the development
                        1992           and improvement of a person’s
              Introduction of Problem-       intellectual competence”.
                Solving Curriculum             Ministry of Education Singapore 2006

                       1997                              2001
                 Thinking Schools       Introduction of textbooks published by
                 Learning Nation          private publishers and approved by
                                                 Ministry of Education.
                                                        2007
                                           New editions of textbooks are
                                        published with the introduction of the
                                                 revised curriculum.
     Page 1
Experiencing
Page 4




         Singapore Math
Achievement
                          Attitude
           Singapore      71         41

           Hong Kong      67         40

             Taiwan       50         24




Grade 4
             Japan        62         23

          Kazakhstan      89         19

            England       62         16

             Russia       80         16

          International   72         5
Achievement
                          Attitude
             Taiwan       37         45

            S Korea       33         40

           Singapore      60         40




Grade 8
           Hong Kong      47         31

             Japan        30         26

            Hungary       30         10

            England       40         8

          International   54         2
Experiencing
Singapore Math
Experiencing
                                                                   Singapore Math
            Experiencing Singapore Math
Initial Concrete Experiences & Building Conceptual Understanding

                        Yeap Ban Har
                  Marshall Cavendish Institute
                           Singapore

                    yeapbanhar@gmail.com

                       Slides are available at
                  www.banhar.blogspot.com
Experiencing
                                              Singapore Math
                             Relational
                             Understanding
                                R Skemp

               what & how    Concrete
                             Introduction
                                J Bruner


Junyuan Secondary
School, Singapore



                                            Page 08
                                            Page 13
Experiencing
Page 5




         Singapore Math
Experiencing
                                   Singapore Math
Share 3 fourths equally among 3.




3 fourths 3 = 1 fourth
Experiencing
                                                               Singapore Math
Share 3 fourths equally between 2.




 3 fourths 2
= 6 eighths 2               Share 3 fourths equally among 4.
= 3 eighths



                             3 fourths 4
                            = 12 sixteenths 4
                            = 3 sixteenths
Experiencing
                                                 Singapore Math
12 cookies   4

12 pieces    4

12 sixteenths    4

12 tenths    4       12 cookies    4 cookies

12 x   4             12 pieces    4 pieces

                     12 x   4x




                                               Page 13
Experiencing
Singapore Math
Experiencing
                                           Singapore Math
 Experiencing Singapore Math
Emphasis on Number Sense & Visualization
             Yeap Ban Har
      Marshall Cavendish Institute
               Singapore

        yeapbanhar@gmail.com

            Slides are available at
       www.banhar.blogspot.com
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
King Solomon Academy, London
Experiencing
                               Singapore Math
King Solomon Academy, London
Singapore Math
                      Experiencing
King Solomon Academy, London
Experiencing
                        Singapore Math
Globe Academy, London
Experiencing
                        Singapore Math
Globe Academy, London
Experiencing
                        Singapore Math
Globe Academy, London
emphasis
visualization
Experiencing
                                  Singapore Math
3 units = 18
1 units = 18   3=6
6 x 8 = 48
There were 48 coins at first.
                                Page 15

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Singapore Math Administrators Symposium Newark

  • 1. Experiencing Singapore Math Experiencing Singapore Math Newark  East Brunswick Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 2. Experiencing Singapore Math  Land  270 sq miles  People introduction  4.7 million  GDP per capita  1965 USD510  2010 USD43,300 in current USD Junyuan Secondary School, Singapore
  • 3. General Overview of Singapore and its Education System
  • 4. General Overview of Singapore and its Education System  Students  500 000  Teachers  30 000  Principals & Vice-Principals  900  Schools  173 Primary Schools (Primary 1 – 6)  155 Secondary Schools (Secondary 1 – 4)  13 Junior Colleges (JC 1 – 2) Canossa Convent Primary School,  15 Mixed-Level Schools Singapore The data refers to 1-12 school system. Pre-school is not part of the formal education system. The data excludes post-secondary education system which includes institutes of technical education, polytechnics and universities.
  • 5. High achievement was not a given. In 1960, among 30 615 candidates who sat for the first Primary School Leaving Examination, 45% of the candidates passed. Keon Ming Public School, Singapore
  • 6. Experiencing Singapore Math 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 Japan Japan Korea Korea Korea Hong Kong Singapore Hong Kong Hong Kong Singapore 400 Thailand Singapore Malaysia Malaysia Thailand Thailand Thailand The Philippines 300 Indonesia Indonesia The Philippines The Philippines Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
  • 7.
  • 8. Experiencing Singapore Math 1982 Introduction of Singapore mathematics textbooks as they are known today. Mathematics is “an excellent vehicle for the development 1992 and improvement of a person’s Introduction of Problem- intellectual competence”. Solving Curriculum Ministry of Education Singapore 2006 1997 2001 Thinking Schools Introduction of textbooks published by Learning Nation private publishers and approved by Ministry of Education. 2007 New editions of textbooks are published with the introduction of the revised curriculum. Page 1
  • 9. Experiencing Page 4 Singapore Math
  • 10. Achievement Attitude Singapore 71 41 Hong Kong 67 40 Taiwan 50 24 Grade 4 Japan 62 23 Kazakhstan 89 19 England 62 16 Russia 80 16 International 72 5
  • 11. Achievement Attitude Taiwan 37 45 S Korea 33 40 Singapore 60 40 Grade 8 Hong Kong 47 31 Japan 30 26 Hungary 30 10 England 40 8 International 54 2
  • 13. Experiencing Singapore Math Experiencing Singapore Math Initial Concrete Experiences & Building Conceptual Understanding Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 14. Experiencing Singapore Math  Relational Understanding  R Skemp what & how  Concrete Introduction  J Bruner Junyuan Secondary School, Singapore Page 08 Page 13
  • 15. Experiencing Page 5 Singapore Math
  • 16. Experiencing Singapore Math Share 3 fourths equally among 3. 3 fourths 3 = 1 fourth
  • 17. Experiencing Singapore Math Share 3 fourths equally between 2. 3 fourths 2 = 6 eighths 2 Share 3 fourths equally among 4. = 3 eighths 3 fourths 4 = 12 sixteenths 4 = 3 sixteenths
  • 18. Experiencing Singapore Math 12 cookies 4 12 pieces 4 12 sixteenths 4 12 tenths 4 12 cookies 4 cookies 12 x 4 12 pieces 4 pieces 12 x 4x Page 13
  • 20. Experiencing Singapore Math Experiencing Singapore Math Emphasis on Number Sense & Visualization Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 26. Experiencing Singapore Math King Solomon Academy, London
  • 27. Singapore Math Experiencing King Solomon Academy, London
  • 28. Experiencing Singapore Math Globe Academy, London
  • 29. Experiencing Singapore Math Globe Academy, London
  • 30. Experiencing Singapore Math Globe Academy, London
  • 32. Experiencing Singapore Math 3 units = 18 1 units = 18 3=6 6 x 8 = 48 There were 48 coins at first. Page 15