Singapore Math at Highline Public Schools
March 2013  Session 3 Parkside Elementary School

Yeap Ban Har


www.banhar.blogspot.com




                                                    The Merlion by Yeap Ken Min
 Land
                                         270 sq miles

                                         700 sq km

                                       People
                                         5.3 million

                                       GDP per capita
                                         1965 USD500

                                         2011 USD50 000
Junyuan Secondary School, Singapore              in current USD
What is Singapore Math?
                              Thinking and Problem Solving
Nanyang Primary School, Singapore
thinkingschools
    learningnation
Mathematics is “an excellent vehicle for
the development and improvement of a
      person’s intellectual competence”.
                   Ministry of Education, Singapore (2006)
Ministry of Education, Singapore (1991, 2000, 2006, 2012)
Singapore Math
                        The CPA Approach, The Spiral
                        Approach and Emphasis on Relational
                        Understanding
Globe Academy, London
Singapore Math
The CPA Approach
Singapore Math
The CPA Approach




        2   1
          
        6   3
Singapore Math
The CPA Approach




      1 2        1
           
      2 3        3
     1 2 1 1
        
     2 3 1 3
concrete



pictorial



abstract
Seely Place Elementary School, New York
Seely Place Elementary School, New York
3 4
                          
                         4 5

Seely Place Elementary School, New York
Singapore Math
  Three-Part Lesson Structure




         Extended
        Engagement
         with One
           Task




                                              Teach Less, Learn More
w w w. b a n h a r. b l o g s p o t . c o m
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure
Singapore Math
Three-Part Lesson Structure: Guided Practice
Singapore Math
Three-Part Lesson Structure
Singapore Math
The Spiral Approach
Singapore Math
The Spiral Approach
Singapore Math
Anchor Task

Guided Practice

Independent Practice
J Bruner
                               Enactive, Iconic, Symbolic
                               Representations
Edgewood Elementary School, New York
Z Dienes
                                Play  Structured Learning
                                 Practice

Bina Bangsa School, Indonesia
L Vygotsky
                              Interaction


Pathlight School, Singapore




                              Bina Bangsa School, Indonesia
R Skemp
                        Relational and Instrumental
                        Understanding
Globe Academy, London
H Gardner
                            Multiple Intelligences




Keys Grade School, Manila
Observing patterns and
making generalizations
involves reflection.
Seely Place Elementary School, New York
Student Achievement
                              Average Learners Performing
                              Well
Pathlight School, Singapore
Singapore      Math   allows
                               average learners perform at
                               a high level. The following
                               are some data from some
                               international research on
                               math      achievement    and
                               attitude.
East Coast Primary School, Singapore
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
intermediate
                                                      advanced




                                                                 high




                                                                                       low
                                            average




                            Singapore       606       43         78     94             99

                           South Korea      605       39         80     97             100
grade four mathematics
                           Hong Kong        602       37         80     96             99

                             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

                          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
Singapore Math at Highline Public Schools
March 2013 

Yeap Ban Har


yeapbanhar@gmail.com




                                            The Merlion by Yeap Ken Min

Highline Session 3 at Parkside Elementary

  • 1.
    Singapore Math atHighline Public Schools March 2013  Session 3 Parkside Elementary School Yeap Ban Har www.banhar.blogspot.com The Merlion by Yeap Ken Min
  • 2.
     Land  270 sq miles  700 sq km  People  5.3 million  GDP per capita  1965 USD500  2011 USD50 000 Junyuan Secondary School, Singapore in current USD
  • 3.
    What is SingaporeMath? Thinking and Problem Solving Nanyang Primary School, Singapore
  • 4.
    thinkingschools learningnation Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. Ministry of Education, Singapore (2006)
  • 5.
    Ministry of Education,Singapore (1991, 2000, 2006, 2012)
  • 8.
    Singapore Math The CPA Approach, The Spiral Approach and Emphasis on Relational Understanding Globe Academy, London
  • 9.
  • 10.
    Singapore Math The CPAApproach 2 1  6 3
  • 11.
    Singapore Math The CPAApproach 1 2 1    2 3 3 1 2 1 1    2 3 1 3
  • 12.
  • 13.
    Seely Place ElementarySchool, New York
  • 14.
    Seely Place ElementarySchool, New York
  • 15.
    3 4  4 5 Seely Place Elementary School, New York
  • 16.
    Singapore Math Three-Part Lesson Structure Extended Engagement with One Task Teach Less, Learn More w w w. b a n h a r. b l o g s p o t . c o m
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
    Singapore Math Three-Part LessonStructure: Guided Practice
  • 25.
  • 26.
  • 27.
  • 28.
    Singapore Math Anchor Task GuidedPractice Independent Practice
  • 31.
    J Bruner Enactive, Iconic, Symbolic Representations Edgewood Elementary School, New York
  • 32.
    Z Dienes Play  Structured Learning  Practice Bina Bangsa School, Indonesia
  • 33.
    L Vygotsky Interaction Pathlight School, Singapore Bina Bangsa School, Indonesia
  • 34.
    R Skemp Relational and Instrumental Understanding Globe Academy, London
  • 35.
    H Gardner Multiple Intelligences Keys Grade School, Manila
  • 36.
    Observing patterns and makinggeneralizations involves reflection. Seely Place Elementary School, New York
  • 37.
    Student Achievement Average Learners Performing Well Pathlight School, Singapore
  • 38.
    Singapore Math allows average learners perform at a high level. The following are some data from some international research on math achievement and attitude. East Coast Primary School, Singapore
  • 39.
    All major internationaltests (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)
  • 40.
  • 41.
    intermediate advanced high low average Singapore 606 43 78 94 99 South Korea 605 39 80 97 100 grade four mathematics Hong Kong 602 37 80 96 99 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 International 500 4 28 69 90
  • 42.
    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
  • 43.
    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
  • 44.
    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
  • 45.
    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
  • 46.
    Singapore Math atHighline Public Schools March 2013  Yeap Ban Har yeapbanhar@gmail.com The Merlion by Yeap Ken Min