Singapore Math Administrators Symposium Scottsdale

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

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

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  • 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. 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. 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. 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. ExperiencingPage 4 Singapore Math
  • 6. ExperiencingSingapore Math
  • 7. Experiencing Singapore Math  Conceptual Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School, Singapore Page 08 Page 13
  • 8. ExperiencingPage 5 Singapore Math
  • 9. ExperiencingSingapore Math
  • 10. Experiencing Singapore Math3 fourths 4 = 12 sixteenths 4 = 3 sixteenths 4
  • 11. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths 3 = 1 fourth
  • 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. 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. Experiencing Singapore Math Lim Siong GuanHead, Civil Service Singapore
  • 15. ExperiencingSingapore Math
  • 16. ExperiencingSingapore Math
  • 17. ExperiencingSingapore Math
  • 18. ExperiencingSingapore Math
  • 19. King Solomon Academy, London
  • 20. Experiencing Singapore MathKing Solomon Academy, London
  • 21. Singapore Math ExperiencingKing Solomon Academy, London
  • 22. ExperiencingGlobe Academy, London Singapore Math
  • 23. ExperiencingGlobe Academy, London Singapore Math
  • 24. ExperiencingGlobe Academy, London Singapore Math
  • 25. Experiencing Singapore MathJunyuan Secondary School, Singapore  Concrete to Visual  J Bruner visualization  Variation  Z Dienes  Human Intelligences  H Gardner Page 11
  • 26. Math in Focus Experiencing Singapore Math
  • 27. ExperiencingMath in Focus Singapore Math
  • 28. Math in Focus Experiencing Singapore Math
  • 29. ExperiencingMath in Focus Singapore Math
  • 30. Math in Focus Experiencing Singapore Math
  • 31. Experiencing Singapore MathMath in Focus
  • 32. Math in Focus Experiencing Singapore Math
  • 33. Math in Focus Experiencing Singapore Math
  • 34. Math in Focus Experiencing Singapore Math
  • 35. Math in Focus Experiencing Singapore Math
  • 36. Math in Focus Experiencing Singapore Math
  • 37. Experiencing Singapore MathDa Qiao Primary School, Singapore
  • 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. Experiencing Singapore MathVisuals are used toteach concepts –distributive property ofmultiplication – withoutusing formal terms. Primary Mathematics (Third Edition)
  • 40. emphasis variation
  • 41. tens ones Page 12
  • 42. emphasis spiral
  • 43. ExperiencingSingapore Math
  • 44. emphasisvisualization
  • 45. Experiencing Singapore Math3 units = 181 units = 18 3=66 x 8 = 48There were 48 coins at first. Page 15
  • 46. 110 g 290 g Page 2
  • 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. Experiencing Singapore MathEscuela de Guetamala, Chile
  • 49. x + 2x = 12 Experiencing Singapore Math
  • 50. Experiencing Singapore MathGlobe Academy, London
  • 51. Edgewood Elementary School, New York
  • 52. emphasisvisualization
  • 53. Experiencing Singapore MathJunyuan Secondary School, Singapore conclusion
  • 54. B A N H A R ExperiencingPage 3 Singapore Math
  • 55. Problem 2 B A N H A R Experiencing Singapore Math
  • 56. Problem 2 B A N H A R Experiencing Singapore Math
  • 57. Problem 2 B A N H A R Experiencing Singapore Math
  • 58. Problem 2 B A N H A R Experiencing Singapore Math
  • 59. Problem 2 B A N H A R Experiencing Singapore Math
  • 60. Problem 2 B A N H A R Experiencing Singapore Math
  • 61. Problem 2 B A N H A R Experiencing Singapore Math
  • 62. Problem 2 B A N H A R Experiencing Singapore Math
  • 63. Problem 2 B A N H A R Experiencing Singapore Math
  • 64. Problem 2 B A N H A R Experiencing Singapore Math
  • 65. Problem 2 B A N H A R Experiencing Singapore Math
  • 66. Problem 2 B A N H A R Experiencing Singapore Math
  • 67. Problem 2 B A N H A R Experiencing Singapore Math
  • 68. Problem 2 B A N H A R Experiencing Singapore Math
  • 69. Problem 2 B A N H A R Experiencing Singapore Math
  • 70. Problem 2 B A N H A R Experiencing Singapore Math
  • 71. Problem 2 B A N H A R Experiencing Singapore Math
  • 72. Problem 2 B A N H A R Experiencing Singapore Math
  • 73. Experiencing Singapore Math B A N H A R Which letter isProblem 2 counted 99?
  • 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. 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. Page 6 Experiencing Singapore Math
  • 77. ExperiencingSingapore Math
  • 78. ExperiencingSingapore Math
  • 79. Page 7 Experiencing Singapore Math
  • 80. ExperiencingSingapore Math
  • 81. Globe Academy, London Experiencing Singapore Math
  • 82. Experiencing Singapore Math3x – 2 = 8 Globe Academy, London