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- 1. Experiencing Singapore MathExperiencing Singapore Math July 23, 2012 Minneapolis, MN 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 SecondarySchool, Singapore
- 3. General Overview of Singapore and its Education System
- 4. 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 15 Mixed-Level Schools School, Singapore 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.
- 5. High achievement was not a given. In1960, among 30 615 candidates whosat for the first Primary School LeavingExamination, 45% of the candidatespassed. Keon Ming Public School, Singapore
- 6. 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)
- 7. "Solving problems is central to mathematical proficiencyand is articulated to a varying degree across theinternational curricula. Singapore applies the highestdegree of specificity to it, placing it at the centre of allmathematical learning.“ Review of the National Curriculum in England Research Report UK Department for Education
- 8. 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. 2013 Fourth version of the problem-solving curriculum will be implemented. Page 1
- 9. ExperiencingPage 4 Singapore Math
- 10. Experiencing Singapore Math on Visualization Fundamentals of Singapore MathFocus Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 11. 110 g 290 g Page 2
- 12. 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. ? ?
- 13. Experiencing Singapore MathEscuela de Guetamala, Chile
- 14. x + 2x = 12 Experiencing Singapore Math
- 15. Experiencing Singapore MathKing Solomon Academy, Londo
- 16. Edgewood Elementary School, New York
- 17. Globe Academy, London Experiencing Singapore Math
- 18. Experiencing Singapore Math3x – 2 = 8 Globe Academy, London
- 19. Experiencing Singapore Math Relational Understanding R Skemp what & how Concrete Introduction J BrunerJunyuan Secondary School,Singapore Page 08 Page 13
- 20. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths 3 = 1 fourth Page 5
- 21. 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
- 22. 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
- 23. ExperiencingSingapore Math
- 24. ExperiencingSingapore Math
- 25. ExperiencingSingapore Math
- 26. ExperiencingSingapore Math
- 27. ExperiencingSingapore Math
- 28. Experiencing Singapore MathJunyuan Secondary School, Singapore Concrete to Visual visualization J Bruner Human Intelligences H Gardner Page 11
- 29. King Solomon Academy, London
- 30. Experiencing Singapore MathKing Solomon Academy, London
- 31. Singapore Math ExperiencingKing Solomon Academy, London
- 32. Experiencing Singapore MathGlobe Academy, London
- 33. Experiencing Singapore MathGlobe Academy, London
- 34. Experiencing Singapore MathGlobe Academy, London
- 35. Experiencing Singapore Math on Patterns Fundamentals of Singapore Math Focus Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 36. Page 3
- 37. C H E R Y L
- 38. C H E R Y L1
- 39. C H E R Y L 2
- 40. C H E R Y L 3
- 41. C H E R Y L 4
- 42. C H E R Y L 5
- 43. C H E R Y L 6
- 44. C H E R Y L 7
- 45. C H E R Y L 8
- 46. C H E R Y L 9
- 47. C H E R Y L
- 48. C H E R Y L
- 49. C H E R Y L
- 50. C H E R Y L
- 51. C H E R Y L
- 52. C H E R Y L Which letter is 99?
- 53. D A V I D
- 54. Experiencing Singapore MathDa Qiao Primary School, Singapore
- 55. Emphasis on Generalization My Pals Are Here! Mathematics (Second Edition) Explicit instruction to engage in higher-order competencies such as to look for a pattern.
- 56. Emphasis on Generalization My Pals Are Here! Mathematics (Second Edition) There are sections devoted to higher-order thinking which includes pattern observation.
- 57. Page 6
- 58. Experiencing Singapore MathJunyuan Secondary School, Singapore Mathematical patterns and Practices “Mathematically generalization proficient students look closely to discern a pattern or structure.”
- 59. Experiencing Singapore Math Fundamentals of Singapore Math Challenging WordProblems using Bar Models Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 60. 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. ? ?
- 61. ExperiencingPage 15 Singapore Math
- 62. ExperiencingPage 15 Singapore Math
- 63. Math in Focus Grade 1 Experiencing Singapore Math
- 64. Experiencing Singapore Math Math in Focus Grade 2Escuela de Guetamala, Chile
- 65. One day, 543 cars and 274 buses pass through a toll booth.How many cars and buses pass through the toll booth? Math in Focus Grade 2 cars 543 buses 274 543 + 274 = cars buses 543 274
- 66. Lesson 6 June 20, 2012 Carl $4686 Ben
- 67. Differentiated instruction for students who have difficulty with standardalgorithms. Use number bonds.
- 68. 2x + x = 4686 3x = 4686Students in Grade 7 may use algebra to deal with such situations. Barmodel is actual linear equations in pictorial form.
- 69. Lesson June 18, 2012 Jack $3 Jack Kyla $2 Kyla gave more had than
- 70. Lesson June 18, 2012 Open Lesson at Hawaii, USA
- 71. Lesson June 18, 2012 What if KylaStory 1 had thisJack had $3. amount before?Jack gave Kyla $2more. Jack Kyla Before $3 $1 $5 $19 After $1 $3 $7 ?
- 72. Lesson June 18, 2012Story 2Kyla had $3 more than Jack. Who had more moneyJack $2 afterwards? How muchKyla $3 more?Jack gave Kyla $2.
- 73. Kyla had $3 more than Jack.Jack gave Kyla $2.How much more did Kyla have than Jack? Students in Grade 6 may use algebra to deal with Story 2. Kyla had $(x + 3) Jack had $x Then, Jack had $(x – 2) And Kyla had $(x + 5) Kyla had $(x + 5) – $(x – 2) or $7 more than Jack.
- 74. Lesson July 23, 2012 In the end ... At first …Alice 20Betty 10Charmaine Dolly
- 75. Lesson 7 June 18, 2012
- 76. Experiencing Singapore MathJunyuan Secondary School, Singapore Concrete to visualization Visual and managing J Bruner Human information Intelligences H Gardner
- 77. can learn. Our students must too.Google learns from typos and spelling mistakes we all make when searching to help give youquicker and more accurate search results. So if you type ‘grizzly pears’, we can guess that youprobably meant ‘grizzly bears’.Goggle does not have a degree in English. We can do this because over the years we’vestudied how people search and learned what the most common errors are. So it’s good toknow that all those little mistakes aren’t made in vain.
- 78. Experiencing Singapore MathExperiencing Singapore Math July 23, 2012 Minnesota Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com

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