Photo:: Catholic High School (Primary) NCTM 2009 Annual Meeting & Exposition Washington D. C.
Every Child Counts  Every Child Can Count Yeap Ban-Har, Ph.D. National Institute of Education Nanyang Technological Univer...
TIMSS 2007 Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4
Curriculum Framework
Every Child Counts
This initiative has been in place since 2005. It provides a roadmap for schools and parents to help each child  maximize h...
Kindergarten is not part of the formal education system in Singapore. As such Grade 1 students have extremely varied compe...
Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4 A c h i e...
By the end of Grade 4, students who still have not mastered the basics have the option to do Foundation Mathematics, inste...
A c h i e v e m e n t  L e v e l s Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 ...
Vision  A mathematics programme that prepares youth at work and in community    Mission To equip students with mathematica...
Every Child Counts
Every Child  Can Count
.. but teachers got to help them
There is no substitute for knowing the number facts.
Photo: PCF Telok Blangah Kindergarten
 
 
Photo: PCF Telok Blangah Kindergarten Number Bonds
One duck is big.  Six ducklings are small. Photo: PCF Telok Blangah Kindergarten Number Bonds
Photo: PCF Telok Blangah Kindergarten Number Bonds
Photo: PCF Telok Blangah Kindergarten Number Bonds
Photo: PCF Telok Blangah Kindergarten Number Bonds
Number Bonds Photo: PCF Telok Blangah Kindergarten
Formal treatment is delayed.   Example:  Addition is done only after children are familiar with number bonds.   Informal T...
Photo: Princess Elizabeth Primary School Informal Treatment
 
Formal treatment is delayed.   Example: The formula to find the area of squares and rectangles are dealt with only at the ...
Formal treatment is delayed.   Example: The idea of division of a whole number / fraction by a fraction is introduced two ...
Visuals
Emphasis on Visualization
Visualization Primary Mathematics Standards Edition
Visualization
Visualization
Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How m...
Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How m...
Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How m...
Princess Elizabeth Primary School Practicing Basics & Engaging in Higher Thinking
Singapore Examination & Assessment Board Expectations
Singapore Examination & Assessment Board
Singapore Examination & Assessment Board
In a box, there are yellow, red and green beads.  1/3 of the beads in the box are yellow. There are 30 more red beads than...
Number Bonds Initial Informal Treatment Visualization Expectations Combining Basics & Higher Thinking Every Child Can Coun...
[email_address] www.banhar.blogspot.com math.nie.edu.sg/T3 “ C hild r e n  a r e  t rul y   t h e  futu r e  o f  o u r  n...
Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence .. Ministry ...
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NCTM Every Child Counts

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NCTM Every Child Counts

  1. 1. Photo:: Catholic High School (Primary) NCTM 2009 Annual Meeting & Exposition Washington D. C.
  2. 2. Every Child Counts Every Child Can Count Yeap Ban-Har, Ph.D. National Institute of Education Nanyang Technological University Singapore [email_address]
  3. 3. TIMSS 2007 Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4
  4. 4. Curriculum Framework
  5. 5. Every Child Counts
  6. 6. This initiative has been in place since 2005. It provides a roadmap for schools and parents to help each child maximize his or her potential in general and do well in chosen field.
  7. 7. Kindergarten is not part of the formal education system in Singapore. As such Grade 1 students have extremely varied competency in English and mathematics. Learning Support in Mathematics caters to students who do not have the basic numeracy experiences for one reason or another. There is a parallel learning support program for English (LSP). Photo: Princess Elizabeth Primary School
  8. 8. Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4 A c h i e v e m e n t L e v e l s
  9. 9. By the end of Grade 4, students who still have not mastered the basics have the option to do Foundation Mathematics, instead of the regular Mathematics program.   Foundation Mathematics allows students in Grades 5 and 6 to revisit the basics they missed in the first four grades using age-appropriate materials and also allows them to acquire sufficient fifth and sixth grade content to proceed to secondary school. Photo: Princess Elizabeth Primary School
  10. 10. A c h i e v e m e n t L e v e l s Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4
  11. 11. Vision A mathematics programme that prepares youth at work and in community   Mission To equip students with mathematical skills and attitudes at vocational level of competency and confidence that can be applied in life.   The four core vocational modules are electrical, mechanical, retail and food preparation.   Photo: Northlight School Students who did not managed to achieve the minimum competencies required to proceed to a course of study in secondary school can enrol in one of two schools - Northlight & Pathway Assumption Schools
  12. 12. Every Child Counts
  13. 13. Every Child Can Count
  14. 14. .. but teachers got to help them
  15. 15. There is no substitute for knowing the number facts.
  16. 16. Photo: PCF Telok Blangah Kindergarten
  17. 19. Photo: PCF Telok Blangah Kindergarten Number Bonds
  18. 20. One duck is big. Six ducklings are small. Photo: PCF Telok Blangah Kindergarten Number Bonds
  19. 21. Photo: PCF Telok Blangah Kindergarten Number Bonds
  20. 22. Photo: PCF Telok Blangah Kindergarten Number Bonds
  21. 23. Photo: PCF Telok Blangah Kindergarten Number Bonds
  22. 24. Number Bonds Photo: PCF Telok Blangah Kindergarten
  23. 25. Formal treatment is delayed.   Example: Addition is done only after children are familiar with number bonds.   Informal Treatment
  24. 26. Photo: Princess Elizabeth Primary School Informal Treatment
  25. 28. Formal treatment is delayed.   Example: The formula to find the area of squares and rectangles are dealt with only at the end of a long unit of area.   Informal Treatment
  26. 29. Formal treatment is delayed.   Example: The idea of division of a whole number / fraction by a fraction is introduced two years before the formal treatment. Informal Treatment
  27. 30. Visuals
  28. 31. Emphasis on Visualization
  29. 32. Visualization Primary Mathematics Standards Edition
  30. 33. Visualization
  31. 34. Visualization
  32. 35. Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How many more postcards than Hazel does Gilbert have at first? Singapore Examination & Assessment Board Hazel Gilbert 20 18
  33. 36. Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How many more postcards than Hazel does Gilbert have at first? Singapore Examination & Assessment Board Hazel Gilbert 20 18 Visualization
  34. 37. Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How many more postcards than Hazel does Gilbert have at first? Singapore Examination & Assessment Board Hazel Gilbert 20 18 Visualization 18
  35. 38. Princess Elizabeth Primary School Practicing Basics & Engaging in Higher Thinking
  36. 39. Singapore Examination & Assessment Board Expectations
  37. 40. Singapore Examination & Assessment Board
  38. 41. Singapore Examination & Assessment Board
  39. 42. In a box, there are yellow, red and green beads. 1/3 of the beads in the box are yellow. There are 30 more red beads than yellow beads. The rest of the 15 beads are green. How many beads are there altogether? Ai Tong Primary School Primary 4 Examination Expectations
  40. 43. Number Bonds Initial Informal Treatment Visualization Expectations Combining Basics & Higher Thinking Every Child Can Count Every Child Counts
  41. 44. [email_address] www.banhar.blogspot.com math.nie.edu.sg/T3 “ C hild r e n a r e t rul y t h e futu r e o f o u r nati o n . “ Irving Harris Bina Bangsa School, Indonesia
  42. 45. Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence .. Ministry of Education 2006

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