singapore
          math
where east meets west

Yeap Ban Har & Char Forsten


        Keynote Session
         13 July 200...
singapore
           math
  where east meets west

  the contexts in which the
   strategies are used are
significant in p...
singapore
       math
where east meets west



                           seven
                         things
          ...
singapore
       math
where east meets west



       emphasis on
            problem solving


                        Re...
singapore
       math
where east meets west



       emphasis on
            problem solving
       is not a rhetoric
singapore
       math
where east meets west



       emphasis on
            problem solving
             in the
        ...
singapore
             math
where east meets west
  Example of 1-point Items                      Example of 2-point Items...
singapore
       math
where east meets west
          Item Type       Point Per Item            Total Points
        Multi...
singapore
       math
where east meets west


    school programs
              include
          enrichment
             ...
A shop sells bicycles for adults and children. The adult bicycles come in 2
      colour choices: black and white. The chi...
Source: Maris Stella High (Primary) School, Singapore
Source: Maris Stella High (Primary) School, Singapore
complex problem solving
 is expected of every student
                          In twice-a-year tests designed by
        ...
singapore
       math
where east meets west



          parental
               expectations


                        Ph...
singapore
       math
where east meets west



       emphasis on
             concrete to
        pictorial to abstract
 ...
singapore
       math
where east meets west



      especially on
           the model method


                        P...
A lion weighs 135 kg. A cow
weigh 87 kg more than the lion.
An elephant weighs 139 more
than the cow. How heavy is the
ele...
singapore
       math
where east meets west



       presence of
               ‘safety nets’
singapore
       math
where east meets west



      learning support program
              at entry point


             ...
Variation in
kindergartens
Kindergarten is not part of
formal schooling.

Pre-school       education
varies       in types...
Variation in
kindergartens
Kindergartens that the
majority of Singapore
children attend are run by
grass-root    organizat...
singapore
       math
where east meets west



        foundation mathematics
            at halfway point


             ...
singapore
       math
where east meets west



              teacher-initiated
                intervention


            ...
singapore
       math
where east meets west



     teacher training
                pre-service


                       ...
singapore
            math
where east meets west


   Photo: Princess Elizabeth Primary School, Singapore



        profe...
singapore
       math
where east meets west



    teacher learning
             from textbooks
singapore
       math
where east meets west
singapore
       math
where east meets west
TIMSS
1995 to 2007

 Grade 4


 Advanced      38   38   41

   High        70   73   74

Intermediate   89   91   92

    ...
TIMSS 2007

 Grade 4


 Advanced      24   40    41


   High        66   81    74


Intermediate   92   97    92


    Lo...
TIMSS 2007

 Grade 8


 Advanced      2    2    40


   High        15   18   70


Intermediate   46   50   88


    Low  ...
singapore
       math
where east meets west
 • emphasis on problem solving
 • high-stakes tests include problem solving
 •...
singapore
               math
where east meets west
   banhar.yeap@nie.edu.sg

   www.banhar.blogspot.com
for addresses of...
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16 July 2009 at Las Vegas, USA
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16 July 2009 at Las Vegas, USA
Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16 July 2009 at Las Vegas, USA
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Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16 July 2009 at Las Vegas, USA

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Keynote Lecture at USA National Conference on Singapore Math Strategies 13-16 July 2009 at Las Vegas, USA

  1. 1. singapore math where east meets west Yeap Ban Har & Char Forsten Keynote Session 13 July 2009 www.banhar.blogspot.com
  2. 2. singapore math where east meets west the contexts in which the strategies are used are significant in producing high- achievement
  3. 3. singapore math where east meets west seven things about singapore stuff you already know math plus further insights into these
  4. 4. singapore math where east meets west emphasis on problem solving Reference: Singapore Ministry of Education 2006
  5. 5. singapore math where east meets west emphasis on problem solving is not a rhetoric
  6. 6. singapore math where east meets west emphasis on problem solving in the national test
  7. 7. singapore math where east meets west Example of 1-point Items Example of 2-point Items Which of the following Adrian and Bala shared the total cost of a present. Adrian numbers is the largest? paid $15 more than 3/8 of the cost of the present. Bala (2)6.59 paid $25. How much did the present cost? (3)6.95 (2)$160 (2) $64 (3) $40 (4) $16 (4)6.509 (5)6.905 A movie started at 11.45 Prawns are sold at $1.35 per In the figure below, ABCD is a.m. The movie was 2 hours 100 g at a market. What is a square, AED is an 25 minutes long. What time the price of 1.5 kg of equilateral triangle and BFD did the movie end? prawns? is a straight line. Find <AFD A B F E D C Reference: Singapore Examinations & Assessment Board 2004-2008
  8. 8. singapore math where east meets west Item Type Point Per Item Total Points Multiple-Choice 1 20% 15 items 2 Short- Answer 1 30% 20 items 2 Long-Answer 3 50% 13 items 4 5 Reference: Singapore Examinations & Assessment Board
  9. 9. singapore math where east meets west school programs include enrichment for all students Photos: Wellington Primary School. Singapore
  10. 10. A shop sells bicycles for adults and children. The adult bicycles come in 2 colour choices: black and white. The children bicycles come in 3 colour choices: red, blue and green. Mr Tan wants to buy a bicycle for himself and another one for his son. How many different colour choices does he have to buy both bicycles? A shop sells bicycles for adults and children. The adult bicycles come in 2 colour choices: black and white. The children bicycles come in 4 colour choices: red, blue, green and purples. Mr Tan wants to buy a bicycle for himself and another one for his son. How many different colour choices does he have to buy both bicycles? A shop sells bicycles for adults and children. The adult and children choose from any of these colours: red, blue, green, yellow and purple. bicycles come in 2 colour choices: black and white. The children bicycles come in 3 colour choices: red, blue and green. Mr Tan wants to buy a bicycle for himself and another one for his son. How many different colour choices does he have to buy both bicycles? Materials that delve deeper into a basic topic are used as part of the regular singapore math program. For example, this school uses a textbook plus teacher-produced worksheets such as this to enrich students’ ideas about multiplication. where east meets west
  11. 11. Source: Maris Stella High (Primary) School, Singapore
  12. 12. Source: Maris Stella High (Primary) School, Singapore
  13. 13. complex problem solving is expected of every student In twice-a-year tests designed by the schools, problems such as this one are given to challenge students. However, there is an expectation that every student makes significant effort to acquire the ability to solve such problems. Source: Raffles Girls’ Primary School, Singapore
  14. 14. singapore math where east meets west parental expectations Photos: Seminar for Parents on Problem Solving
  15. 15. singapore math where east meets west emphasis on concrete to pictorial to abstract representations Photo: Catholic High School (Primary) Singapore
  16. 16. singapore math where east meets west especially on the model method Photo: mathz4kidz Learning Center, Malaysia
  17. 17. A lion weighs 135 kg. A cow weigh 87 kg more than the lion. An elephant weighs 139 more than the cow. How heavy is the elephant? (Primary 2) Photo: Telok Kurau Primary School, Singapore
  18. 18. singapore math where east meets west presence of ‘safety nets’
  19. 19. singapore math where east meets west learning support program at entry point Photo: Princess Elizabeth Primary School, Singapore
  20. 20. Variation in kindergartens Kindergarten is not part of formal schooling. Pre-school education varies in types and quality. Teachers’ qualification ranges from O-Levels to masters degrees in early childhood. Monthly fees range from $65 to more than $1000. Photo: PCF Kindergarten Telok Blangah, Singapore
  21. 21. Variation in kindergartens Kindergartens that the majority of Singapore children attend are run by grass-root organizations and they struggle to provide a high-quality program due to lack of resources and qualified teachers. One such provider of kindergarten education is the PCF Kindergartens which has 255 kindergartens out of 485 Also, 50% of first-graders in Singapore come kindergartens in from non-English speaking environment. Singapore. Photo: PCF Kindergarten Tanjong Pagar, Singapore
  22. 22. singapore math where east meets west foundation mathematics at halfway point Photo: Princess Elizabeth Primary School, Singapore
  23. 23. singapore math where east meets west teacher-initiated intervention Photo: Telok Kurau Primary School, Singapore
  24. 24. singapore math where east meets west teacher training pre-service Photo: Princess National Institute of Education, Singapore
  25. 25. singapore math where east meets west Photo: Princess Elizabeth Primary School, Singapore professional development in-service Photo: Hougang Primary School, Singapore
  26. 26. singapore math where east meets west teacher learning from textbooks
  27. 27. singapore math where east meets west
  28. 28. singapore math where east meets west
  29. 29. TIMSS 1995 to 2007 Grade 4 Advanced 38 38 41 High 70 73 74 Intermediate 89 91 92 Low 96 97 98 Catholic High School (Primary), Singapore
  30. 30. TIMSS 2007 Grade 4 Advanced 24 40 41 High 66 81 74 Intermediate 92 97 92 Low 99 100 98 Catholic High School (Primary), Singapore
  31. 31. TIMSS 2007 Grade 8 Advanced 2 2 40 High 15 18 70 Intermediate 46 50 88 Low 75 82 97 Northlight School, Singapore
  32. 32. singapore math where east meets west • emphasis on problem solving • high-stakes tests include problem solving • enrichment opportunities for all • high expectations of children by parents • pedagogies that facilitate learning • multi-pronged intervention strategies • professional development strategies
  33. 33. singapore math where east meets west banhar.yeap@nie.edu.sg www.banhar.blogspot.com for addresses of websites and blogs of various aspects of singapore math thank you

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