Administrators Symposium at East Brunswick

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This one day event was attended by about 60 educators and adminsitrators form the state of New Jersey.

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Administrators Symposium at East Brunswick

  1. 1. Experiencing Singapore MathExperiencing Singapore Math Newark  East Brunswick Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  2. 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. 3. General Overview of Singapore and its Education System
  4. 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 School,  15 Mixed-Level Schools 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. 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. 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. 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. 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. Page 1
  9. 9. ExperiencingPage 4 Singapore Math
  10. 10. Experiencing Singapore MathExperiencing Singapore Math Spiral Approach Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  11. 11. 543 + 274 = 
  12. 12. 543 + 274 = 
  13. 13. 543 + 274 = 
  14. 14. 543 + 274 = 
  15. 15. 543 + 274 = 
  16. 16. 543 + 274 = 
  17. 17. 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
  18. 18. emphasis spiral
  19. 19. ExperiencingSingapore Math
  20. 20. Experiencing Singapore MathExperiencing Singapore Math Visual Approach Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  21. 21. 110 g 290 g Page 2
  22. 22. 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. ? ?
  23. 23. Experiencing Singapore MathEscuela de Guetamala, Chile
  24. 24. x + 2x = 12 Experiencing Singapore Math
  25. 25. Experiencing Singapore MathKing Solomon Academy, Londo
  26. 26. Edgewood Elementary School, New York
  27. 27. Globe Academy, London Experiencing Singapore Math
  28. 28. Experiencing Singapore Math3x – 2 = 8 Globe Academy, London
  29. 29. 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
  30. 30. Experiencing Singapore Math  Relational Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School,Singapore Page 08 Page 13
  31. 31. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths 3 = 1 fourth Page 5
  32. 32. 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
  33. 33. 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
  34. 34. ExperiencingSingapore Math
  35. 35. ExperiencingSingapore Math
  36. 36. ExperiencingSingapore Math
  37. 37. ExperiencingSingapore Math
  38. 38. ExperiencingSingapore Math
  39. 39. Experiencing Singapore MathJunyuan Secondary School, Singapore  Concrete to Visual  J Bruner visualization  Variation  Z Dienes  Human Intelligences  H Gardner Page 11
  40. 40. Math in Focus Experiencing Singapore Math
  41. 41. ExperiencingMath in Focus Singapore Math
  42. 42. Math in Focus Experiencing Singapore Math
  43. 43. ExperiencingMath in Focus Singapore Math
  44. 44. Math in Focus Experiencing Singapore Math
  45. 45. Experiencing Singapore MathMath in Focus
  46. 46. Math in Focus Experiencing Singapore Math
  47. 47. Math in Focus Experiencing Singapore Math
  48. 48. Math in Focus Experiencing Singapore Math
  49. 49. Math in Focus Experiencing Singapore Math
  50. 50. Math in Focus Experiencing Singapore Math
  51. 51. Experiencing Singapore MathDa Qiao Primary School, Singapore
  52. 52. 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.
  53. 53. Experiencing Singapore MathVisuals are used toteach concepts –distributive property ofmultiplication – withoutusing formal terms. Primary Mathematics (Third Edition)

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