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  • 1. Experiencing
    Singapore Math
    Singapore Math Symposium
     Birmingham 15 April 2011
    Yeap Ban Har banhar@sg.marshallcavendish.com
    www.marshallcavendish.com/education/mci
  • 2. Experiencing
    Singapore Math
    Session 
     Mathematics as a Thinking Tool
     Importance of Initial Concrete Experiences
    • Emphasis on Conceptual Understanding
    • 3. Slides are available at www.banhar.com
  • mathematics
    a thinking
    tool
  • 4. Revision of the Curriculum
    1992
    2001
    2007
    2013
    thinking
    curriculum and standards
  • 5. TIMSS 2007
    Trends in International Mathematics and Science Studies
    Indonesia
    Thailand
    Malaysia
    Singapore
    International
    Grade 8
    Advanced
    2
    3
    0
    40
    2
    High
    15
    12
    4
    70
    18
    Intermediate
    46
    44
    14
    88
    50
    Low
    75
    66
    48
    97
    82
    Woodlands Primary School
  • 6. TIMSS 2007
    Trends in International Mathematics and Science Studies
    Indonesia
    Thailand
    Malaysia
    Singapore
    International
    Grade 8
    Advanced
    2
    3
    0
    40
    2
    High
    15
    12
    4
    70
    18
    Intermediate
    46
    44
    14
    88
    50
    Low
    75
    66
    48
    97
    82
    Woodlands Primary School
  • 7. TIMSS
    Trends in International Maths and Science Studies
    Sweden
    Median
    U S A
    Japan
    Singapore
    Grade 4
    Advanced
    3
    10
    5
    41
    23
    High
    24
    40
    26
    74
    61
    Intermediate
    69
    77
    67
    92
    89
    Low
    93
    95
    90
    98
    98
    TelokKurau Primary School, Singapore
  • 8. TIMSS
    Trends in International Maths and Science Studies
    Average
    Hong Kong
    Singapore
    Korea
    Taiwan
    Grade 8
    Advanced
    2
    40
    31
    45
    40
    High
    15
    70
    64
    71
    71
    Intermediate
    46
    88
    85
    86
    90
    Low
    75
    97
    94
    95
    98
    Northlight School, Singapore
  • 9. PISA 2009
    Program for International Student Assessment
    14.6% Shanghai and 12.3% Singapore students were at Level 5 and above for all three domains. The international average is 4.1%.
  • 10.
  • 11. Experiencing
    Singapore Math
    See Page 13
    E
    A
    B
    ABCD and EFGH are squares.
    AE, BF, GC and HD are equal in length.
    AE is twice as long as EB.
    What fraction of square ABCB is shaded?
    Grade 6 National Test Item
    Singapore Examination and Assessment Board
    H
    F
    D
    C
    G
  • 12. Experiencing
    Singapore Math
  • 13. Experiencing
    Singapore Math


  • 14. concrete
    introduction
  • 15.
  • 16. See Page 2
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25. See Page 2
  • 26. Experiencing
    Singapore Math
  • 27. Experiencing
    Singapore Math
  • 28.
  • 29. Experiencing
    Singapore Math
  • 30. Experiencing
    Singapore Math
  • 31. Experiencing
    Singapore Math
  • 32. Experiencing
    Singapore Math
  • 33. Princess Elizabeth Primary School
     
    “… in which at some simple level a set of ideas or operations were introduced in a rather intuitive way …”
    Bruner 1975, p.3-4
  • 34. Experiencing
    Singapore Math
  • 35. Experiencing
    Singapore Math
  • 36. Experiencing
    Singapore Math
  • 37.
  • 38.
  • 39.
  • 40. Experiencing
    Singapore Math
  • 41. Experiencing
    Singapore Math
  • 42. Experiencing
    Singapore Math
  • 43. Experiencing
    Singapore Math
    Session 
    • From Concrete to Pictorial
    • 44. The Role of Visuals & Visualization
  • emphasis
    visualization
  • 45. Experiencing
    Singapore Math
    See Page 9
  • 46. Experiencing
    Singapore Math
  • 47. Experiencing
    Singapore Math
  • 48. Experiencing
    Singapore Math
  • 49. Experiencing
    Singapore Math
  • 50. Experiencing
    Singapore Math
  • 51. Experiencing
    Singapore Math
  • 52. Experiencing
    Singapore Math
  • 53. Experiencing
    Singapore Math
  • 54. Experiencing
    Singapore Math
    See Page 8
    Show 2 ½.
    How many halves is equal to 2 ½?
  • 55. Experiencing
    Singapore Math
    See Page 8
  • 56. Experiencing
    Singapore Math
    See Page 6
  • 57. Experiencing
    Singapore Math
    See Page 7
  • 58. Experiencing
    Singapore Math
  • 59. Experiencing
    Singapore Math
  • 60. Experiencing
    Singapore Math
  • 61. Experiencing
    Singapore Math
  • 62. Experiencing
    Singapore Math
  • 63. Experiencing
    Singapore Math
  • 64. Experiencing
    Singapore Math
  • 65. Experiencing
    Singapore Math
  • 66. Experiencing
    Singapore Math
  • 67. Experiencing
    Singapore Math
  • 68. Experiencing
    Singapore Math
  • 69. Experiencing
    Singapore Math
    Da Qiao Primary School
  • 70. Experiencing
    Singapore Math
    Session 
    • Bar Model Method
    • 71. Focus on Thinking and Problem Solving
  • emphasis
    thinking
    The Curriculum (Ministry of Education 2006)
  • 72. Experiencing
    Singapore Math
    Singapore Math in Chile
  • 73. Experiencing
    Singapore Math
  • 74. Experiencing
    Singapore Math
    After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
    2 units = $18
    2 units = $18
    1 unit = $9
    The book costs $9.
  • 75. Experiencing
    Singapore Math
    After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
  • 76. Experiencing
    Singapore Math
    After spending 1/4 of his allowance on a book and 1/2 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
    3 units = $18
    3 units = $18
    1 unit = $6
    The book costs $12.
    2 units = $12
  • 77. Experiencing
    Singapore Math
    After spending 1/4 of his allowance on a book and 1/4 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
    3 units = $18
    1 unit = $6
    4 units = $24
    The book costs $24 ÷ 3 = $8.
    $18
  • 78. Experiencing
    Singapore Math
    Session 
    • Current Developments
    in Mathematics Instruction in Singapore
  • 79. Revision of the Curriculum
    1992
    2001
    2007
    2013
    thinking
    curriculum and standards
  • 80. thinking
    textbooks
  • 81. thinking
    pedagogy
  • 82. PERI Report
    2010
    engagement
    pedagogy
  • 83. engagement
    pedagogy
  • 84. thinking
    national test
    of a group of children are boys.
    of the boys and 210 girls chose to go on a school trip.
    of the children chose not to go on the school trip.
    How many children chose to go on the school trip?

    210
    960 children chose to go.
  • 85. technology
    national test
    A type of candy costs 40 cents each.
    Find the largest number of candies that can be bought with $95.
    $95 ÷ 40 cents = 367.5
    The largest number of candies that can be bought is 367.
  • 86. struggling
    learners
    system-wide strategies
    learning support programs
    foundation programs
  • 87. lessonstudy
    professional development
  • 88. TIMSS
    Trends in International Mathematics and Science Studies
    Grade 4 2003
    Grade 8 2007
    Grade 4 1995
    Grade 8 1999
    38
    40
    Advanced
    38
    42
    73
    70
    High
    70
    77
    91
    88
    Intermediate
    89
    94
    97
    97
    Low
    96
    99
  • 89. Attitude
    Achievement
    Taiwan
    37
    45
    Grade 8
    S Korea
    33
    40
    Singapore
    60
    40
    Hong Kong
    47
    31
    Japan
    30
    26
    Hungary
    30
    10
    England
    40
    8
    International
    54
    2
  • 90. Singapore Math Summer Institute
    Worchester State University, MA      6-8 July 2011
    where content meets pedagogy
    DrYeap Ban Har Dr Richard Bisk  Other Singapore Presenters 
    Contact melissaooi@sg.marshallcavendish.com
    This institute is modeled after teacher professional development in Singapore.