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Singapore Math
a program for parents

         Yeap Ban Har
   Marshall Cavendish Institute
            Singapore

    yeapbanhar@gmail.com

        Slides are available at
   www.banhar.blogspot.com
 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
why do we teach
mathematics this way


Greenridge Primary School, Singapore
Mathematics is “an excellent
                                        vehicle for the development and
                                              improvement of a person’s
                                                intellectual competence”.
                  1982                            Ministry of Education Singapore 2006
Introduction of Singapore mathematics
  textbooks as they are known today.

                       1992
             Introduction of Problem-
                Solving Curriculum

                       1997
                 Thinking Schools
                 Learning Nation
Singapore Math focuses on
the use of visuals and initial
concrete experiences. The
emphasis is not just knowing
how but also knowing why.
Escuela de Guetamala, Chile




Greenville Elementary School, New York
Seely Place Elementary School, New York
Archipel Basisschool Tweemaster-Kameleon, The Netherlands
3     6
                                                              2  2
                                                            4     8

Archipel Basisschool Tweemaster-Kameleon, The Netherlands
Let the piece of paper
represents a cake.

      3 fourths  3 =




                         3      1
                           3 
                         4      4
Let the piece of paper
represents a cake.

      3 fourths  2 =




                         3     6     3
                           2  2 
                         4     8     8
Let the piece of paper
represents a cake.

      3 fourths  2 =




                         3     1 3
                           2  
                         4     2 4
Let the piece of paper
represents a cake.

      3 fourths  2 =




                         3     1 3 3
                           2   
                         4     2 4 8
Let the piece of paper
represents a cake.

      3 fourths  2 =

      2 fourths  2 =
      1 fourths  2 =


                         3     1 1 3
                           2   
                         4     4 8 8
Archipel Basisschool Tweemaster-Kameleon, The Netherlands
3
A number is     of a second number.
            5
The sum of the two numbers is 120.




                                      King Solomon Academy, London UK
3
A number is     of a second number.
            5
The sum of the two numbers is 120.




                                                             120

                                      8 units = 120     80         40
                                      1 units = 120  8
                                      1 units = 15
        The smaller number is 3 x 15 = 45.
        The larger number is 5 x 15 = 75.
Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.




                               Edgewood Elementary School, New York
Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.

Box C                20        116



Box A



Box B
Box B contains twice as many
books as Box A. Box C
contains 20 more books than
Box A. Together, the three
boxes contain 116 books.

Box C       24       20        116 – 20 = 116 – 16 – 4 = 96

                               4 units = 96
                               4 units = 80 + 16
Box A       24
                               1 units = 96  4 =


Box B       24            24   Box A ….
Seely Place Elementary School, New York
Singapore Math focuses on
number bonds and mental
strategies.
We end the evening with a
few questions.
Singapore      Math   allows
average learners perform at
a high level. The following
are some data from some
international research on
math      achievement    and
attitude.
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              Hong Kong              Hong Kong     Hong Kong
                                                 Japan                  Japan         Japan
                                                 Korea                  Korea         Korea
                                                                      Singapore     Singapore
       400                Thailand          The Philippines           Malaysia       Malaysia
                                              Singapore               Thailand       Thailand
                                               Thailand
       300                                                          Indonesia       Indonesia
                                                                  The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
mathematics
ave   adv   high   int   low
                            Singapore       606   43    78     94    99

                           South Korea      605   39    80     97    100

                           Hong Kong        602   37    80     96    99
grade four mathematics
                             Taiwan         591   34    74     93    99

                              Japan         585   30    70     93    99

                         Northern Ireland   562   24    59     86    96

                             Belgium        549   10    50     89    99

                             Finland        545   12    49     85    98

                             England        542   18    49     78    93

                              Russia        542   13    47     82    97

                          United States     541   13    47     81    96

                          International     500   4     28     69    90
intermediate
                                                    advanced




                                                               high




                                                                                     low
                                          average




                          South Korea     613       47         77     93             99

                           Singapore      611       48         78     92             99
grade eight mathematics
                             Taiwan       609       49         73     88             96

                           Hong Kong      586       34         71     89             97

                             Japan        570       27         61     87             97

                             Russia       539       14         47     78             95

                             Israel       516       12         40     68             87

                            Finland       514       4          30     73             96

                          United States   509       7          30     68             92

                            England       507       8          32     65             88

                          International   500       3          17     46             75
intermediate
grade eight mathematics




                                                    advanced
                                          average




                                                               high




                                                                                     low
                           Singapore      611       48         78     92             99

                           Malaysia       440        2         12     36             65

                            Thailand      427        2         8      26             55

                           Indonesia      386        0         2      15             43

                          International   500        3         17     46             75
grade eight mathematics




                                                                           dislike math
                                                    advanced




                                                               like math
                                          average
                           Singapore      611       48         32          23

                           Malaysia       440        2         39          15

                            Thailand      427        2         26          16

                           Indonesia      386        0         20          10

                          International   500        3         26          31
grade eight mathematics




                                                                           dislike math
                                                    advanced




                                                               like math
                                          average
                           Singapore      611       48         32          23

                          South Korea     613       47          8          56

                            Taiwan        609       49         14          53

                          Hong Kong       586       34         19          37

                             Japan        570       27          9          53

                          International   500        3         26          31
perentage
                 correct
 Singapore       82

International    52
perentage
                 correct
 Singapore       52

International    27
perentage
                 correct
 Singapore       45

International    23
perentage
                 correct
 Singapore       60

International    25

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Edgemont School District (Parents)

  • 1. Singapore Math a program for parents Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 2.
  • 3.  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
  • 4. why do we teach mathematics this way Greenridge Primary School, Singapore
  • 5.
  • 6. Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. 1982 Ministry of Education Singapore 2006 Introduction of Singapore mathematics textbooks as they are known today. 1992 Introduction of Problem- Solving Curriculum 1997 Thinking Schools Learning Nation
  • 7.
  • 8.
  • 9. Singapore Math focuses on the use of visuals and initial concrete experiences. The emphasis is not just knowing how but also knowing why.
  • 10. Escuela de Guetamala, Chile Greenville Elementary School, New York
  • 11.
  • 12.
  • 13. Seely Place Elementary School, New York
  • 15. 3 6 2  2 4 8 Archipel Basisschool Tweemaster-Kameleon, The Netherlands
  • 16. Let the piece of paper represents a cake. 3 fourths  3 = 3 1 3  4 4
  • 17. Let the piece of paper represents a cake. 3 fourths  2 = 3 6 3 2  2  4 8 8
  • 18. Let the piece of paper represents a cake. 3 fourths  2 = 3 1 3 2   4 2 4
  • 19. Let the piece of paper represents a cake. 3 fourths  2 = 3 1 3 3 2    4 2 4 8
  • 20. Let the piece of paper represents a cake. 3 fourths  2 = 2 fourths  2 = 1 fourths  2 = 3 1 1 3 2    4 4 8 8
  • 21.
  • 23.
  • 24. 3 A number is of a second number. 5 The sum of the two numbers is 120. King Solomon Academy, London UK
  • 25. 3 A number is of a second number. 5 The sum of the two numbers is 120. 120 8 units = 120 80 40 1 units = 120  8 1 units = 15 The smaller number is 3 x 15 = 45. The larger number is 5 x 15 = 75.
  • 26. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contain 116 books. Edgewood Elementary School, New York
  • 27. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contain 116 books. Box C 20 116 Box A Box B
  • 28. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contain 116 books. Box C 24 20 116 – 20 = 116 – 16 – 4 = 96 4 units = 96 4 units = 80 + 16 Box A 24 1 units = 96  4 = Box B 24 24 Box A ….
  • 29.
  • 30. Seely Place Elementary School, New York
  • 31.
  • 32. Singapore Math focuses on number bonds and mental strategies.
  • 33. We end the evening with a few questions.
  • 34. Singapore Math allows average learners perform at a high level. The following are some data from some international research on math achievement and attitude.
  • 35. 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 Hong Kong Hong Kong Hong Kong Japan Japan Japan Korea Korea Korea Singapore Singapore 400 Thailand The Philippines Malaysia Malaysia Singapore Thailand Thailand Thailand 300 Indonesia Indonesia The Philippines The Philippines Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
  • 37. ave adv high int low Singapore 606 43 78 94 99 South Korea 605 39 80 97 100 Hong Kong 602 37 80 96 99 grade four mathematics Taiwan 591 34 74 93 99 Japan 585 30 70 93 99 Northern Ireland 562 24 59 86 96 Belgium 549 10 50 89 99 Finland 545 12 49 85 98 England 542 18 49 78 93 Russia 542 13 47 82 97 United States 541 13 47 81 96 International 500 4 28 69 90
  • 38. intermediate advanced high low average South Korea 613 47 77 93 99 Singapore 611 48 78 92 99 grade eight mathematics Taiwan 609 49 73 88 96 Hong Kong 586 34 71 89 97 Japan 570 27 61 87 97 Russia 539 14 47 78 95 Israel 516 12 40 68 87 Finland 514 4 30 73 96 United States 509 7 30 68 92 England 507 8 32 65 88 International 500 3 17 46 75
  • 39. intermediate grade eight mathematics advanced average high low Singapore 611 48 78 92 99 Malaysia 440 2 12 36 65 Thailand 427 2 8 26 55 Indonesia 386 0 2 15 43 International 500 3 17 46 75
  • 40. grade eight mathematics dislike math advanced like math average Singapore 611 48 32 23 Malaysia 440 2 39 15 Thailand 427 2 26 16 Indonesia 386 0 20 10 International 500 3 26 31
  • 41. grade eight mathematics dislike math advanced like math average Singapore 611 48 32 23 South Korea 613 47 8 56 Taiwan 609 49 14 53 Hong Kong 586 34 19 37 Japan 570 27 9 53 International 500 3 26 31
  • 42. perentage correct Singapore 82 International 52
  • 43. perentage correct Singapore 52 International 27
  • 44. perentage correct Singapore 45 International 23
  • 45. perentage correct Singapore 60 International 25