3 fourths shared equally between 2 is 1 1/2 fourths
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This is the session held at Lewisham Town Hall.
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3 fourths shared equally between 2 is 1 1/2 fourths
- 1. Experiencing Singapore Maths Lewisham, 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 000 Junyuan 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. Canossa Convent Primary School, Singapore
- 7. High achievement was not a given. In 1960, among 30 615 candidates who sat for the first 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
- 8. 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 Philippines Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
- 9. Experiencing Singapore Math Achievement Attitude Singapore 71 41 Hong Kong 67 40 Taiwan 50 24 Grade 4 Japan 62 23 Kazakhstan 89 19 England 62 16 Russia 80 16 International 72 5
- 10. Experiencing Singapore Math Achievement Attitude Taiwan 37 45 S Korea 33 40 Singapore 60 40 Grade 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 555 15 year-olds S Korea 546 Taiwan 543 Finland 541 Liechtenstein 536 International 496
- 14. Experiencing Singapore Math Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. 1982 Ministry of Education Singapore 2006 Introduction 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
- 15. Experiencing Page 4 Singapore Math
- 17. 110 g 290 g Page 2
- 18. 2 units = 290 g – 110 g = 180 g 1 units = 180 g 2 = 90 g 110 g 3 x 90 g = 270 g Bella puts 270 g sugar on the dish. ? ?
- 19. Experiencing Singapore Math Professional Development at Lewisham, London
- 20. Experiencing Singapore Math Escuela de Guetamala, Chile
- 21. x + 2x = 12 Experiencing Singapore Math
- 22. Experiencing Singapore Math Globe Academy, London
- 23. Edgewood Elementary School, New York Singapore Math Experiencing
- 24. Example of Problem Solving at PSLE
- 25. 7 Peili Peili Nurul Nurul 7 After … 7 Before …
- 26. Experiencing Singapore Math Experiencing Singapore Math Initial Concrete Experiences & Building Conceptual Understanding Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 27. Experiencing Singapore Math Relational Understanding R Skemp what & how Concrete Introduction J Bruner Junyuan Secondary School, Singapore Page 08 Page 13
- 28. Experiencing Page 5 Singapore Math
- 30. Experiencing Singapore Math 3 fourths 4 = 12 sixteenths 4 1 3 3 fourths 4 = ×4 4 = 3 sixteenths
- 31. Experiencing Singapore Math Professional Development at Lewisham, London
- 32. Experiencing Singapore Math Share 3 fourths equally among 3. 3 fourths 3 = 1 fourth
- 33. Experiencing Singapore Math Share 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
- 34. Experiencing Singapore Math Experiencing Singapore Math Emphasis on Number Sense & Visualization Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 39. King Solomon Academy, London
- 40. Experiencing Singapore Math King Solomon Academy, London
- 41. Singapore Math Experiencing King Solomon Academy, London
- 42. Experiencing Globe Academy, London Singapore Math
- 43. Experiencing Globe Academy, London Singapore Math
- 44. Experiencing Globe Academy, London Singapore Math
- 45. Experiencing Singapore Math Teaching Multiplication Facts Allfarthing Primary School, London
- 46. Math in Focus Experiencing Singapore Math
- 47. Experiencing Math in Focus Singapore Math
- 48. Math in Focus Experiencing Singapore Math
- 49. Experiencing Math in Focus Singapore Math
- 50. Math in Focus Experiencing Singapore Math
- 51. Experiencing Singapore Math Math 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 Math Da 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 Primary School Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey. See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore on Higher-Order Thinking Skills. Paper presented at International Conference on School Mathematics Textbooks Shanghai, China.
- 59. Experiencing Singapore Math Visuals are used to teach concepts – distributive property of multiplication – without using formal terms. Primary Mathematics (Third Edition)
- 61. Experiencing Singapore Math Professional Development at Lewisham, London
- 64. Experiencing Singapore Math 3 units = 18 1 units = 18 3 = 6 6 x 8 = 48 There were 48 coins at first. Page 15