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FRAC TION  in singapore math                                      Dr Yeap Ban Har                          Marshall Cavend...
This course is in two parts. Today FRAC                                                                we focus on pre-fra...
FRAC TION  in singapore mathSlides are available atwww.banhar.blogspot.com
General Overview of Singapore and its         Education System                             Land                          ...
General Overview of Singapore and its         Education System GDP per capita in current U.S. dollars     1965      $510 ...
General Overview of Singapore and its              Education System Students   500 000 Teachers   30 000 Principals &...
Universities    National Examination                                                   Institutes of                      ...
THINKING SCHOOLSLEARNING NATION         Singapore Ministry of Education 1997
“Mathematics is an excellent vehicle for the developmentand improvement of a person’s  intellectual competencies”         ...
21st Century Competencies FrameworkSingapore Ministry of Education 2011
FRAC TION  in singapore math                     MAP202 TEACHING OF FRACTIONS                          pre-numeracy       ...
Pre-Numeracy Skills  Matching  Sorting / Classifying
1
counting same  units
number bonds         Earlybird Kindergarten Mathematics
Photo: PCF Telok Blangah Kindergarten
adding same units
tens   onesrenaming           1      3
1
1
1
1
1               addingrenaming        same                units
x + 2y      3x            x + 2y   3yx + 2y   3xy
FRAC TION  in singapore math                                      Dr Yeap Ban Har                          Marshall Cavend...
BASIC IDEAS OF FRACTIONS
FRACTIONthe C P Aapproach
FRACTIONthe C P Aapproach
FRACTIONmathematicalvariability
FRACTIONconceptualapproach
FRACTION                       3teaching for   3 fourths                           4meaning
St Edward’s School, Florida
St Edward’s School, FloridaGrade 2concrete pictorial  abstract
FRACIt does not showhalf. What does it   show then?                               TION                                    ...
My Pals Are Here! Mathematics (Second Edition)
St Edward School, Florida                  Initial                 Concrete                Experience                     ...
Eventual  SymbolicRepresentation
My Pals Are Here! Mathematics (Second Edition)
4 eighteenths1 fourth                   8    9                              +                           36   36           ...
Primary 2   3 fifths + 1 fifth3 fourths            Primary 3   3 fifths + 1 tenth3 pieces3 pencils   Primary 4   3 fifths ...
COMPARING FRACTIONS
EQUIVALENT FRACTIONS
Lim Siong GuanHead, Civil Service        Singapore
We    discussed   teaching   We discussed   visualizationmathematics         versus   and         looking       forteachin...
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
MAP202a Teaching of Fractions 1
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MAP202a Teaching of Fractions 1

This course is in two parts. Today we focus on pre-fraction ideas i.e. ideas learnt in the early grades which are important in the learning of fraction as well as basic concept of fractions. We will also examine fraction topics typically taught in lower primary levels i.e. grades one to three.

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MAP202a Teaching of Fractions 1

  1. 1. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute SingaporeSlides are available at yeapbanhar@gmail.comwww.banhar.blogspot.com
  2. 2. This course is in two parts. Today FRAC we focus on pre-fraction ideas i.e. ideas learnt in the early TION grades which are important in the learning of fraction as well as in singapore basic concept of fractions. We math will also examine fraction topics typically taught in lower primary levels i.e. grades one to three. MAP202 TEACHING OF FRACTIONSSlides are available at reviewing fundamentals of singapore mathwww.banhar.blogspot.com
  3. 3. FRAC TION in singapore mathSlides are available atwww.banhar.blogspot.com
  4. 4. General Overview of Singapore and its Education System  Land  700 sq km  People  4.7 million
  5. 5. General Overview of Singapore and its Education System GDP per capita in current U.S. dollars 1965 $510 2010 $43 300
  6. 6. 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.
  7. 7. Universities National Examination Institutes of Poly Technical technics Junior Education Colleges Integrated National Examination Programmes Secondary Schools National Examination Primary SchoolsA detailed schematic diagram of Singapore’s education system is available in Education Statistics Digesthttp://www.moe.gov.sg/education/education-statistics-digest/
  8. 8. THINKING SCHOOLSLEARNING NATION Singapore Ministry of Education 1997
  9. 9. “Mathematics is an excellent vehicle for the developmentand improvement of a person’s intellectual competencies” Singapore Ministry of Education 2006
  10. 10. 21st Century Competencies FrameworkSingapore Ministry of Education 2011
  11. 11. FRAC TION in singapore math MAP202 TEACHING OF FRACTIONS pre-numeracy skillsSlides are available atwww.banhar.blogspot.com
  12. 12. Pre-Numeracy Skills Matching Sorting / Classifying
  13. 13. 1
  14. 14. counting same units
  15. 15. number bonds Earlybird Kindergarten Mathematics
  16. 16. Photo: PCF Telok Blangah Kindergarten
  17. 17. adding same units
  18. 18. tens onesrenaming 1 3
  19. 19. 1
  20. 20. 1
  21. 21. 1
  22. 22. 1
  23. 23. 1 addingrenaming same units
  24. 24. x + 2y 3x x + 2y 3yx + 2y 3xy
  25. 25. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute SingaporeSlides are available at yeapbanhar@gmail.comwww.banhar.blogspot.com
  26. 26. BASIC IDEAS OF FRACTIONS
  27. 27. FRACTIONthe C P Aapproach
  28. 28. FRACTIONthe C P Aapproach
  29. 29. FRACTIONmathematicalvariability
  30. 30. FRACTIONconceptualapproach
  31. 31. FRACTION 3teaching for 3 fourths 4meaning
  32. 32. St Edward’s School, Florida
  33. 33. St Edward’s School, FloridaGrade 2concrete pictorial  abstract
  34. 34. FRACIt does not showhalf. What does it show then? TION opportunities for differentiation It does not show fourth. What does it show then?
  35. 35. My Pals Are Here! Mathematics (Second Edition)
  36. 36. St Edward School, Florida Initial Concrete Experience Subsequent Pictorial RepresentationMy Pals Are Here! Mathematics (Second Edition)
  37. 37. Eventual SymbolicRepresentation
  38. 38. My Pals Are Here! Mathematics (Second Edition)
  39. 39. 4 eighteenths1 fourth 8 9 + 36 36 Singapore Examination & Assessment Board Primary School Leaving Examination
  40. 40. Primary 2 3 fifths + 1 fifth3 fourths Primary 3 3 fifths + 1 tenth3 pieces3 pencils Primary 4 3 fifths + 9 tenths Primary 5 3 fifths + 1 halfFRACTIONspiralapproach
  41. 41. COMPARING FRACTIONS
  42. 42. EQUIVALENT FRACTIONS
  43. 43. Lim Siong GuanHead, Civil Service Singapore
  44. 44. We discussed teaching We discussed visualizationmathematics versus and looking forteaching the ability to patterns. Also we discussedlearn mathematics and generic competencies includingdeveloping the belief metacognition andthat one can figure collaboration.things out by oneself.

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