Singapore Math Administrators Symposium Scottsdale

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Yeap Ban Har made three presentations on Day 2 of the symposium.

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Singapore Math Administrators Symposium Scottsdale

  1. 1. 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
  2. 2. Experiencing Singapore Math  Land  270 sq miles  People introduction  4.7 million  GDP per capita  1965 USD510  2010 USD43,300 in current USDJunyuan Secondary School, Singapore
  3. 3. 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 PhilippinesReference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
  4. 4. Experiencing Singapore Math 1982Introduction 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
  5. 5. ExperiencingPage 4 Singapore Math
  6. 6. ExperiencingSingapore Math
  7. 7. Experiencing Singapore Math  Conceptual Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School, Singapore Page 08 Page 13
  8. 8. ExperiencingPage 5 Singapore Math
  9. 9. ExperiencingSingapore Math
  10. 10. Experiencing Singapore Math3 fourths 4 = 12 sixteenths 4 = 3 sixteenths 4
  11. 11. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths 3 = 1 fourth
  12. 12. 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
  13. 13. Experiencing Singapore Math12 cookies 412 pieces 412 sixteenths 412 tenths 4 12 cookies 4 cookies12 x 4 12 pieces 4 pieces 12 x 4x Page 13
  14. 14. Experiencing Singapore Math Lim Siong GuanHead, Civil Service Singapore
  15. 15. ExperiencingSingapore Math
  16. 16. ExperiencingSingapore Math
  17. 17. ExperiencingSingapore Math
  18. 18. ExperiencingSingapore Math
  19. 19. King Solomon Academy, London
  20. 20. Experiencing Singapore MathKing Solomon Academy, London
  21. 21. Singapore Math ExperiencingKing Solomon Academy, London
  22. 22. ExperiencingGlobe Academy, London Singapore Math
  23. 23. ExperiencingGlobe Academy, London Singapore Math
  24. 24. ExperiencingGlobe Academy, London Singapore Math
  25. 25. Experiencing Singapore MathJunyuan Secondary School, Singapore  Concrete to Visual  J Bruner visualization  Variation  Z Dienes  Human Intelligences  H Gardner Page 11
  26. 26. Math in Focus Experiencing Singapore Math
  27. 27. ExperiencingMath in Focus Singapore Math
  28. 28. Math in Focus Experiencing Singapore Math
  29. 29. ExperiencingMath in Focus Singapore Math
  30. 30. Math in Focus Experiencing Singapore Math
  31. 31. Experiencing Singapore MathMath in Focus
  32. 32. Math in Focus Experiencing Singapore Math
  33. 33. Math in Focus Experiencing Singapore Math
  34. 34. Math in Focus Experiencing Singapore Math
  35. 35. Math in Focus Experiencing Singapore Math
  36. 36. Math in Focus Experiencing Singapore Math
  37. 37. Experiencing Singapore MathDa Qiao Primary School, Singapore
  38. 38. Experiencing Singapore Math Primary Mathematics (Third Edition)See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills inSingapore Primary School Mathematics Textbooks. Paper presented at PME-35Angkara, Turkey.See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks inSingapore on Higher-Order Thinking Skills. Paper presented at InternationalConference on School Mathematics Textbooks Shanghai, China.
  39. 39. Experiencing Singapore MathVisuals are used toteach concepts –distributive property ofmultiplication – withoutusing formal terms. Primary Mathematics (Third Edition)
  40. 40. emphasis variation
  41. 41. tens ones Page 12
  42. 42. emphasis spiral
  43. 43. ExperiencingSingapore Math
  44. 44. emphasisvisualization
  45. 45. Experiencing Singapore Math3 units = 181 units = 18 3=66 x 8 = 48There were 48 coins at first. Page 15
  46. 46. 110 g 290 g Page 2
  47. 47. 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. ? ?
  48. 48. Experiencing Singapore MathEscuela de Guetamala, Chile
  49. 49. x + 2x = 12 Experiencing Singapore Math
  50. 50. Experiencing Singapore MathGlobe Academy, London
  51. 51. Edgewood Elementary School, New York
  52. 52. emphasisvisualization
  53. 53. Experiencing Singapore MathJunyuan Secondary School, Singapore conclusion
  54. 54. B A N H A R ExperiencingPage 3 Singapore Math
  55. 55. Problem 2 B A N H A R Experiencing Singapore Math
  56. 56. Problem 2 B A N H A R Experiencing Singapore Math
  57. 57. Problem 2 B A N H A R Experiencing Singapore Math
  58. 58. Problem 2 B A N H A R Experiencing Singapore Math
  59. 59. Problem 2 B A N H A R Experiencing Singapore Math
  60. 60. Problem 2 B A N H A R Experiencing Singapore Math
  61. 61. Problem 2 B A N H A R Experiencing Singapore Math
  62. 62. Problem 2 B A N H A R Experiencing Singapore Math
  63. 63. Problem 2 B A N H A R Experiencing Singapore Math
  64. 64. Problem 2 B A N H A R Experiencing Singapore Math
  65. 65. Problem 2 B A N H A R Experiencing Singapore Math
  66. 66. Problem 2 B A N H A R Experiencing Singapore Math
  67. 67. Problem 2 B A N H A R Experiencing Singapore Math
  68. 68. Problem 2 B A N H A R Experiencing Singapore Math
  69. 69. Problem 2 B A N H A R Experiencing Singapore Math
  70. 70. Problem 2 B A N H A R Experiencing Singapore Math
  71. 71. Problem 2 B A N H A R Experiencing Singapore Math
  72. 72. Problem 2 B A N H A R Experiencing Singapore Math
  73. 73. Experiencing Singapore Math B A N H A R Which letter isProblem 2 counted 99?
  74. 74. Experiencing Singapore Math B A N H A R 1 2 3 4 5 6 11 10 9 8 7 12 13 14 15 16Problem 2 21 20 19 18 17 22 23 24 25 26 31 30 29 28 27 32 33 34 35 36 Which letter in your name is counted 99?
  75. 75. Experiencing Singapore Math Number of Which Letter? Letters 6 3rd Problem 2 3 3rd 7 3rd 5 3rd 4 3rdWhich letter in yourname is counted 99? 8 1st
  76. 76. Page 6 Experiencing Singapore Math
  77. 77. ExperiencingSingapore Math
  78. 78. ExperiencingSingapore Math
  79. 79. Page 7 Experiencing Singapore Math
  80. 80. ExperiencingSingapore Math
  81. 81. Globe Academy, London Experiencing Singapore Math
  82. 82. Experiencing Singapore Math3x – 2 = 8 Globe Academy, London

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