Singapore Maths at Wandsworth, London

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This seminar was for schools under the Wandsworth Council.

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Singapore Maths at Wandsworth, London

  1. 1. Experiencing Singapore Math Wandsworth, London  October 2012 Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  2. 2. “Singapore” by Yeap Ken Min
  3. 3. Experiencing Singapore Math  Land  270 sq miles  700 sq km introduction  People  5.3 million  GDP per capita  1965 USD500  2011 USD50 000Junyuan Secondary School, Singapore in current USD
  4. 4. General Overview of Singapore and its Education System
  5. 5. 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, Singapore  15 Mixed-Level Schools 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.
  6. 6. High achievement was not a given. In 1960,among 30 615 candidates who sat for thefirst Primary School Leaving Examination,45% of the candidates passed. Today, about the same proportion achieve the highest grade in each of the four subjects tested. Keon Ming Public School, Singapore
  7. 7. Experiencing Singapore MathAll major international tests (literacy, science and mathematics) between 1964and 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 PhilippinesReference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
  8. 8. Experiencing Singapore Math Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. 1982 Ministry of Education Singapore 2006Introduction of Singapore mathematics textbooks as they are known today. 2001 Introduction of textbooks published by 1992 private publishers and approved by Introduction of Problem- Ministry of Education. Solving Curriculum 2007 New editions of textbooks are 1997 published with the introduction of the Thinking Schools revised curriculum. Learning Nation 2013 New editions of textbooks are published with the revision of the curriculum. Page 1
  9. 9. ExperiencingPage 4 Singapore Math
  10. 10. Experiencing Singapore Math Achievement Attitude Singapore 71 41 Hong Kong 67 40 Taiwan 50 24Grade 4 Japan 62 23 Kazakhstan 89 19 England 62 16 Russia 80 16 International 72 5
  11. 11. Experiencing Singapore Math Achievement Attitude Taiwan 37 45 S Korea 33 40 Singapore 60 40Grade 8 Hong Kong 47 31 Japan 30 26 Hungary 30 10 England 40 8 International 54 2
  12. 12. Experiencing Singapore Math Mean Shanghai 600 Singapore 562 Hong Kong 55515 year-olds S Korea 546 Taiwan 543 Finland 541 Liechtenstein 536 International 496
  13. 13. ExperiencingSingapore Math
  14. 14. 110 g 290 g Page 2
  15. 15. 2 units = 290 g – 110 g = 180 g 1 units = 180 g  2 = 90 g110 g 3 x 90 g = 270 g Bella puts 270 g sugar on the dish. ? ?
  16. 16. Experiencing Singapore MathProfessional Development at Wandsworth, London
  17. 17. Experiencing Singapore MathEscuela de Guetamala, Chile
  18. 18. x + 2x = 12 Experiencing Singapore Math
  19. 19. Experiencing Singapore MathGlobe Academy, London
  20. 20. Edgewood Elementary School, New York Singapore Math Experiencing
  21. 21. Experiencing Singapore Math Experiencing Singapore MathInitial Concrete Experiences & Building Conceptual Understanding Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  22. 22. Experiencing Singapore Math  Relational Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School, Singapore Page 08 Page 13
  23. 23. ExperiencingPage 5 Singapore Math
  24. 24. ExperiencingSingapore Math
  25. 25. Experiencing Singapore Math3 fourths  4 = 12 sixteenths  4 1 3 3 fourths  4 = ×4 4 = 3 sixteenths
  26. 26. Experiencing Singapore MathProfessional Development at Wandsworth, London
  27. 27. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths  3 = 1 fourth
  28. 28. Experiencing Singapore MathShare 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
  29. 29. Experiencing Singapore Math12 cookies  4 3 1 3 1 ÷ ÷ 4 4 4 212 pieces  412 sixteenths  412 tenths  4 12 cookies  4 cookies12 x  4 12 pieces  4 pieces 12 x  4 x Page 13
  30. 30. Experiencing Singapore MathProfessional Development at Wandsworth, London
  31. 31. Experiencing Singapore Math In Singapore syllabus, topics are developed in a systematics way with ample time in between ideas. This is based on Bruner’s Spiral Approach.Primary 2Primary 4Primary 5 Professional Development at Wandsworth, London
  32. 32. Experiencing Singapore Math Experiencing Singapore MathEmphasis on Number Sense & Visualization Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  33. 33. ExperiencingSingapore Math Professional Development at Wandsworth, London
  34. 34. ExperiencingSingapore Math
  35. 35. ExperiencingSingapore Math
  36. 36. ExperiencingSingapore Math
  37. 37. ExperiencingSingapore Math
  38. 38. King Solomon Academy, London
  39. 39. Experiencing Singapore MathKing Solomon Academy, London
  40. 40. Singapore Math ExperiencingKing Solomon Academy, London
  41. 41. ExperiencingGlobe Academy, London Singapore Math
  42. 42. ExperiencingGlobe Academy, London Singapore Math
  43. 43. ExperiencingGlobe Academy, London Singapore Math
  44. 44. ExperiencingSingapore Math
  45. 45. Experiencing Singapore MathTeaching Multiplication Facts Allfarthing Primary School, London
  46. 46. Math in Focus Experiencing Singapore Math
  47. 47. ExperiencingMath in Focus Singapore Math
  48. 48. Math in Focus Experiencing Singapore Math
  49. 49. ExperiencingMath in Focus Singapore Math
  50. 50. Math in Focus Experiencing Singapore Math
  51. 51. Experiencing Singapore MathMath in Focus
  52. 52. Math in Focus Experiencing Singapore Math
  53. 53. Math in Focus Experiencing Singapore Math
  54. 54. Math in Focus Experiencing Singapore Math
  55. 55. Math in Focus Experiencing Singapore Math
  56. 56. Math in Focus Experiencing Singapore Math
  57. 57. Experiencing Singapore MathDa Qiao Primary School, Singapore
  58. 58. Experiencing Singapore Math Primary Mathematics (Third Edition)See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore PrimarySchool Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey.See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore onHigher-Order Thinking Skills. Paper presented at International Conference on SchoolMathematics Textbooks Shanghai, China.
  59. 59. Experiencing Singapore MathVisuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms. Primary Mathematics (Third Edition)
  60. 60. emphasisvisualization
  61. 61. Experiencing Singapore Math3 units = 181 units = 18  3 = 66 x 8 = 48There were 48 coins at first. Page 15

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