1. Experiencing Singapore MathsMerton, London October 2012Yeap Ban HarMarshall Cavendish Institute Singapore
[email protected] Slides are available atwww.banhar.blogspot.com 2. “Singapore” by Yeap Ken Min 3. ExperiencingSingapore Math Land 270 sq miles 700 sq kmintroduction People 5.3 million GDP per capita 1965 USD500 2011 USD50 000Junyuan Secondary School, Singaporein current USD 4. General Overview of Singapore and its Education System 5. General Overview of Singapore and itsEducation 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 SchoolsThe data refers to 1-12 school system. Pre-school is not part of the formal educationsystem. The data excludes post-secondary education system which includes institutesof 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 achievethe highest grade in each of the four subjects tested.Keon Ming Public School, Singapore 7. ExperiencingSingapore MathAll major international tests (literacy, science and mathematics) between 1964and 2003 were placed on a common scale. Selected countries shown in the table. Score1960-1970s 1980s1990s 2000s500Japan JapanJapan Japan KoreaKorea Korea Hong KongSingapore Hong KongHong Kong Singapore400Thailand SingaporeMalaysiaMalaysia ThailandThailandThailandThe Philippines300 Indonesia IndonesiaThe 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”.1982Ministry of Education Singapore 2006Introduction of Singapore mathematicstextbooks as they are known today. 2001Introduction of textbooks published by1992private publishers and approved byIntroduction of Problem- Ministry of Education. Solving Curriculum 2007 New editions of textbooks are 1997 published with the introduction of the Thinking Schoolsrevised curriculum. Learning Nation2013 New editions of textbooks arepublished with the revision of thecurriculum. Page 1 9. ExperiencingPage 4 Singapore Math 10. Experiencing Singapore Math AchievementAttitude Singapore71 41 Hong Kong67 40 Taiwan 50 24Grade 4 Japan62 23Kazakhstan89 19England 62 16 Russia 80 16International 72 5 11. Experiencing Singapore Math AchievementAttitude Taiwan 37 45S Korea 33 40 Singapore60 40Grade 8 Hong Kong47 31 Japan30 26Hungary 30 10England 40 8International 54 2 12. ExperiencingSingapore Math Mean Shanghai600Singapore562Hong Kong55515 year-olds S Korea 546 Taiwan543 Finland 541 Liechtenstein 536 International 496 13. ExperiencingSingapore Math 14. 110 g290 g Page 2 15. 2 units = 290 g – 110 g = 180 g1 units = 180 g 2 = 90 g110 g3 x 90 g = 270 gBella puts 270 g sugar on the dish. ?? 16. Experiencing Singapore MathProfessional Development at Merton, London 17. ExperiencingSingapore MathEscuela de Guetamala, Chile 18. x + 2x = 12 ExperiencingSingapore Math 19. ExperiencingSingapore MathGlobe Academy, London 20. Edgewood Elementary School, New York Singapore Math Experiencing 21. Experiencing Singapore MathExperiencing Singapore MathInitial Concrete Experiences & Building Conceptual UnderstandingYeap Ban HarMarshall Cavendish Institute
[email protected] Slides are available atwww.banhar.blogspot.com 22. ExperiencingSingapore Math Relational Understanding R Skempwhat & how Concrete Introduction J BrunerJunyuan Secondary School, SingaporePage 08Page 13 23. ExperiencingPage 5 Singapore Math 24. ExperiencingSingapore Math 25. Experiencing Singapore Math3 fourths 4 = 12 sixteenths 4 133 fourths 4 = ×44= 3 sixteenths 26. ExperiencingSingapore MathProfessional Development at Merton, 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 MathUsing bar model to introduce solvingalgebraic equationsSolve 7 – 3y = 1 . 7 3y 1 30. Experiencing Singapore Math Experiencing Singapore MathEmphasis on Number Sense & Visualization Yeap Ban HarMarshall Cavendish Institute
[email protected] are available at www.banhar.blogspot.com 31. ExperiencingSingapore Math 32. ExperiencingSingapore Math 33. ExperiencingSingapore Math 34. ExperiencingSingapore Math 35. King Solomon Academy, London 36. Experiencing Singapore MathKing Solomon Academy, London 37. Singapore Math ExperiencingKing Solomon Academy, London 38. ExperiencingGlobe Academy, LondonSingapore Math 39. ExperiencingGlobe Academy, LondonSingapore Math 40. ExperiencingGlobe Academy, LondonSingapore Math 41. ExperiencingSingapore Math 42. Experiencing Singapore MathTeaching Multiplication FactsAllfarthing Primary School, London 43. Math in Focus ExperiencingSingapore Math 44. ExperiencingMath in FocusSingapore Math 45. Math in Focus ExperiencingSingapore Math 46. ExperiencingMath in FocusSingapore Math 47. Math in FocusExperiencing Singapore Math 48. ExperiencingSingapore MathMath in Focus 49. Math in Focus ExperiencingSingapore Math 50. Math in Focus ExperiencingSingapore Math 51. Math in Focus ExperiencingSingapore Math 52. Math in Focus ExperiencingSingapore Math 53. Math in Focus ExperiencingSingapore Math 54. ExperiencingSingapore MathDa Qiao Primary School, Singapore 55. Experiencing Singapore MathPrimary 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. 56. ExperiencingSingapore MathVisuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms. Primary Mathematics (Third Edition) 57. emphasisvisualization 58. ExperiencingSingapore Math3 units = 181 units = 18 3 = 66 x 8 = 48There were 48 coins at first.Page 15 59. ExperiencingSingapore Math