Experiencing                                       Singapore MathExperiencing Singapore Math      Newark  East Brunswick ...
Experiencing                                                          Singapore Math                               Land  ...
General Overview of Singapore and      its Education System
General Overview of Singapore and        its Education System Students   500 000 Teachers   30 000 Principals & Vice-...
High achievement was not a given. In1960, among 30 615 candidates whosat for the first Primary School LeavingExamination, ...
Experiencing                                                                                                Singapore Math...
"Solving problems is central to mathematical proficiencyand is articulated to a varying degree across theinternational cur...
Experiencing                                                                                      Singapore Math          ...
ExperiencingPage 4         Singapore Math
Experiencing                                  Singapore MathExperiencing Singapore Math         Spiral Approach         Ye...
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
37 + 24 = 
37 + 24 = 
37 + 24 = 
One day, 543 cars and 274 buses pass through a toll booth.How many cars and buses pass through the toll booth?            ...
emphasis  spiral
ExperiencingSingapore Math
Experiencing                                  Singapore MathExperiencing Singapore Math         Visual Approach         Ye...
110 g        290 g   Page 2
2 units = 290 g – 110 g = 180 g            1 units = 180 g   2 = 90 g110 g            3 x 90 g = 270 g            Bella pu...
Experiencing                              Singapore MathEscuela de Guetamala, Chile
x + 2x = 12                 Experiencing              Singapore Math
Experiencing                  Singapore MathKing Solomon Academy, Londo
Edgewood Elementary School, New York
Globe Academy, London                           Experiencing                        Singapore Math
Experiencing                                     Singapore Math3x – 2 = 8             Globe Academy, London
Experiencing                                                                   Singapore Math            Experiencing Sing...
Experiencing                                               Singapore Math                              Relational        ...
Experiencing                                    Singapore MathShare 3 fourths equally among 3.3 fourths 3 = 1 fourth      ...
Experiencing                                                               Singapore MathShare 3 fourths equally between 2...
Experiencing                                                 Singapore Math12 cookies   412 pieces    412 sixteenths    41...
ExperiencingSingapore Math
ExperiencingSingapore Math
ExperiencingSingapore Math
ExperiencingSingapore Math
ExperiencingSingapore Math
Experiencing                                                       Singapore MathJunyuan Secondary School, Singapore      ...
Math in Focus                   Experiencing                Singapore Math
ExperiencingMath in Focus                Singapore Math
Math in Focus                   Experiencing                Singapore Math
ExperiencingMath in Focus                Singapore Math
Math in Focus              Experiencing           Singapore Math
Experiencing                Singapore MathMath in Focus
Math in Focus                   Experiencing                Singapore Math
Math in Focus                   Experiencing                Singapore Math
Math in Focus                   Experiencing                Singapore Math
Math in Focus                   Experiencing                Singapore Math
Math in Focus                   Experiencing                Singapore Math
Experiencing                                    Singapore MathDa Qiao Primary School, Singapore
Experiencing                                                                              Singapore Math                  ...
Experiencing                                Singapore MathVisuals are used toteach concepts –distributive property ofmulti...
New Jersey Singapore Math Administrators Symposium East Brunswick
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New Jersey Singapore Math Administrators Symposium East Brunswick

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This symposium was for educators and administrators in New Jersey. A separate symposium was held the day before for Newark Public Schools.

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New Jersey Singapore Math Administrators Symposium 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 SecondarySchool, 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  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. 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. 37 + 24 = 
  18. 18. 37 + 24 = 
  19. 19. 37 + 24 = 
  20. 20. 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
  21. 21. emphasis spiral
  22. 22. ExperiencingSingapore Math
  23. 23. 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
  24. 24. 110 g 290 g Page 2
  25. 25. 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. ? ?
  26. 26. Experiencing Singapore MathEscuela de Guetamala, Chile
  27. 27. x + 2x = 12 Experiencing Singapore Math
  28. 28. Experiencing Singapore MathKing Solomon Academy, Londo
  29. 29. Edgewood Elementary School, New York
  30. 30. Globe Academy, London Experiencing Singapore Math
  31. 31. Experiencing Singapore Math3x – 2 = 8 Globe Academy, London
  32. 32. 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
  33. 33. Experiencing Singapore Math  Relational Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School,Singapore Page 08 Page 13
  34. 34. Experiencing Singapore MathShare 3 fourths equally among 3.3 fourths 3 = 1 fourth Page 5
  35. 35. 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
  36. 36. 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
  37. 37. ExperiencingSingapore Math
  38. 38. ExperiencingSingapore Math
  39. 39. ExperiencingSingapore Math
  40. 40. ExperiencingSingapore Math
  41. 41. ExperiencingSingapore Math
  42. 42. Experiencing Singapore MathJunyuan Secondary School, Singapore  Concrete to Visual  J Bruner visualization  Variation  Z Dienes  Human Intelligences  H Gardner Page 11
  43. 43. Math in Focus Experiencing Singapore Math
  44. 44. ExperiencingMath in Focus Singapore Math
  45. 45. Math in Focus Experiencing Singapore Math
  46. 46. ExperiencingMath in Focus Singapore Math
  47. 47. Math in Focus Experiencing Singapore Math
  48. 48. Experiencing Singapore MathMath in Focus
  49. 49. Math in Focus Experiencing Singapore Math
  50. 50. Math in Focus Experiencing Singapore Math
  51. 51. Math in Focus Experiencing Singapore Math
  52. 52. Math in Focus Experiencing Singapore Math
  53. 53. Math in Focus Experiencing Singapore Math
  54. 54. Experiencing Singapore MathDa Qiao Primary School, Singapore
  55. 55. 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.
  56. 56. Experiencing Singapore MathVisuals are used toteach concepts –distributive property ofmultiplication – withoutusing formal terms. Primary Mathematics (Third Edition)

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