MAP101 Fundamentals of Singapore Math              Maui, Hawaii                Yeap Ban Har          Marshall Cavendish In...
Singapore
 Land                                         270 sq miles                                         700 sq km           ...
General Overview of Singapore and its         Education System
General Overview of Singapore and its            Education System Students   500 000 Teachers   30 000 Principals & V...
High achievement was not a given. In 1960,among 30 615 candidates who sat for thefirst Primary School Leaving Examination,...
All major international tests (literacy, science and mathematics) between 1964and 2003 were placed on a common scale. Sele...
Mathematics is “an excellent                                         vehicle for the development and                      ...
Page 4
The brown sugar problemdemonstrates the importance ofvisualization.
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...
Professional Development in London, UK
Escuela de Guetamala, Chile
x + 2x = 12
Fundamentals of Singapore MathInitial Concrete Experiences & Building Conceptual Understanding                        Yeap...
 Relational                                       Understanding                                          R Skemp        ...
Page 5
3 fourths  4 = 12 sixteenths  4                     1    3                                    3 fourths  4 =       ×4  ...
Share 3 fourths equally among 3.3 fourths  3 = 1 fourth
Share 3 fourths equally between 2. 3 fourths  2= 6 eighths  2             Share 3 fourths equally among 4.= 3 eighths   ...
Fundamentals of Singapore MathEmphasis on Number Sense & Visualization             Yeap Ban Har      Marshall Cavendish In...
Student in The Philippines doing long division using number bonds.
Students’ work from Maui, Hawaii
King Solomon Academy, London
King Solomon Academy, London
King Solomon Academy, London
Globe Academy, London
Globe Academy, London
Globe Academy, London
Teaching Multiplication Facts                                Allfarthing Primary School, London
Primary Mathematics (Third Edition)See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore Pr...
Visuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms.     Primary Mathema...
emphasisvisualization
Math in Focus
Math in Focus
Math in Focus
Math in Focus
Math in Focus
Da Qiao Primary School, Singapore
3 units = 181 units = 18  3 = 66 x 8 = 48There were 48 coins at first.                                Page 15
If      can learn                                                         our students must                               ...
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
MAP101 Fundamentals of Singapore Mathematics Curriculum
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MAP101 Fundamentals of Singapore Mathematics Curriculum

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This course was for about 80 teachers in the island of Maui in Hawaii, USA.

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MAP101 Fundamentals of Singapore Mathematics Curriculum

  1. 1. MAP101 Fundamentals of Singapore Math Maui, Hawaii Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  2. 2. Singapore
  3. 3.  Land  270 sq miles  700 sq km introduction  People  5.3 million  GDP per capita  1965 USD500  2011 USD50 000Junyuan Secondary School, Singapore in current USD
  4. 4. General Overview of Singapore and its Education System
  5. 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. 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 achieve the highest grade in each of the four subjects tested. Keon Ming Public School, Singapore
  7. 7. All major international tests (literacy, science and mathematics) between 1964and 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)
  8. 8. Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”. 1982 Ministry of Education Singapore 2006Introduction 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
  9. 9. Page 4
  10. 10. The brown sugar problemdemonstrates the importance ofvisualization.
  11. 11. 110 g 290 g Page 2
  12. 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. 13. Professional Development in London, UK
  14. 14. Escuela de Guetamala, Chile
  15. 15. x + 2x = 12
  16. 16. Fundamentals of 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
  17. 17.  Relational Understanding  R Skemp what & how  Concrete Introduction  J BrunerJunyuan Secondary School, Singapore Page 08 Page 13
  18. 18. Page 5
  19. 19. 3 fourths  4 = 12 sixteenths  4 1 3 3 fourths  4 = ×4 4 = 3 sixteenths
  20. 20. Share 3 fourths equally among 3.3 fourths  3 = 1 fourth
  21. 21. 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
  22. 22. Fundamentals of Singapore MathEmphasis on Number Sense & Visualization Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  23. 23. Student in The Philippines doing long division using number bonds.
  24. 24. Students’ work from Maui, Hawaii
  25. 25. King Solomon Academy, London
  26. 26. King Solomon Academy, London
  27. 27. King Solomon Academy, London
  28. 28. Globe Academy, London
  29. 29. Globe Academy, London
  30. 30. Globe Academy, London
  31. 31. Teaching Multiplication Facts Allfarthing Primary School, London
  32. 32. Primary 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.
  33. 33. Visuals are used to teachconcepts – distributiveproperty of multiplication– without using formalterms. Primary Mathematics (Third Edition)
  34. 34. emphasisvisualization
  35. 35. Math in Focus
  36. 36. Math in Focus
  37. 37. Math in Focus
  38. 38. Math in Focus
  39. 39. Math in Focus
  40. 40. Da Qiao Primary School, Singapore
  41. 41. 3 units = 181 units = 18  3 = 66 x 8 = 48There were 48 coins at first. Page 15
  42. 42. If can learn our students must too.This advertisement by Google says these: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.
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