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Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
Singapore Maths at Wandsworth, London
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Singapore Maths at Wandsworth, London

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This seminar was for schools under the Wandsworth Council.

This seminar was for schools under the Wandsworth Council.

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  • 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. “Singapore” by Yeap Ken Min
  • 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. General Overview of Singapore and its Education System
  • 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. 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. 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. 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. ExperiencingPage 4 Singapore Math
  • 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. 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. 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. ExperiencingSingapore Math
  • 14. 110 g 290 g Page 2
  • 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. Experiencing Singapore MathProfessional Development at Wandsworth, London
  • 17. Experiencing Singapore MathEscuela de Guetamala, Chile
  • 18. x + 2x = 12 Experiencing Singapore Math
  • 19. Experiencing Singapore MathGlobe Academy, London
  • 20. Edgewood Elementary School, New York Singapore Math Experiencing
  • 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. Experiencing Singapore Math  Relational Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School, Singapore Page 08 Page 13
  • 23. ExperiencingPage 5 Singapore Math
  • 24. ExperiencingSingapore Math
  • 25. Experiencing Singapore Math3 fourths  4 = 12 sixteenths  4 1 3 3 fourths  4 = ×4 4 = 3 sixteenths
  • 26. Experiencing Singapore MathProfessional Development at Wandsworth, London
  • 27. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths  3 = 1 fourth
  • 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. 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. Experiencing Singapore MathProfessional Development at Wandsworth, London
  • 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. 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. ExperiencingSingapore Math Professional Development at Wandsworth, London
  • 34. ExperiencingSingapore Math
  • 35. ExperiencingSingapore Math
  • 36. ExperiencingSingapore Math
  • 37. ExperiencingSingapore Math
  • 38. King Solomon Academy, London
  • 39. Experiencing Singapore MathKing Solomon Academy, London
  • 40. Singapore Math ExperiencingKing Solomon Academy, London
  • 41. ExperiencingGlobe Academy, London Singapore Math
  • 42. ExperiencingGlobe Academy, London Singapore Math
  • 43. ExperiencingGlobe Academy, London Singapore Math
  • 44. ExperiencingSingapore Math
  • 45. Experiencing Singapore MathTeaching Multiplication Facts Allfarthing Primary School, London
  • 46. Math in Focus Experiencing Singapore Math
  • 47. ExperiencingMath in Focus Singapore Math
  • 48. Math in Focus Experiencing Singapore Math
  • 49. ExperiencingMath in Focus Singapore Math
  • 50. Math in Focus Experiencing Singapore Math
  • 51. Experiencing Singapore MathMath in Focus
  • 52. Math in Focus Experiencing Singapore Math
  • 53. Math in Focus Experiencing Singapore Math
  • 54. Math in Focus Experiencing Singapore Math
  • 55. Math in Focus Experiencing Singapore Math
  • 56. Math in Focus Experiencing Singapore Math
  • 57. Experiencing Singapore MathDa Qiao Primary School, Singapore
  • 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. Experiencing Singapore MathVisuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms. Primary Mathematics (Third Edition)
  • 60. emphasisvisualization
  • 61. Experiencing Singapore Math3 units = 181 units = 18  3 = 66 x 8 = 48There were 48 coins at first. Page 15

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