Singapore Math Administrators Symposium, Chicago
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This national edition of the symposium was held in Chicago. This was Dr Yeap Ban Har's day-long presentation. Dr Duriya Aziz, Andy Clark, Dr Richard Bisk and Dr Steve Leinwand were among the other ...

This national edition of the symposium was held in Chicago. This was Dr Yeap Ban Har's day-long presentation. Dr Duriya Aziz, Andy Clark, Dr Richard Bisk and Dr Steve Leinwand were among the other presenters.

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Singapore Math Administrators Symposium, Chicago Presentation Transcript

  • 1. Experiencing
    Singapore Math
    Singapore Math Administrators Symposium
     Chicago  27 – 29 January 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
  • mathematics
    a thinking
    tool
  • 3. Revision of the Curriculum
    1992
    2001
    2007
    2013
    thinking
    curriculum and standards
  • 4. 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
    Method Used in Singapore Textbooks
  • 5. Experiencing
    Singapore Math
    A
    C
    B
    In the diagram, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 2 : 1.
    What fraction of square ACEG is shaded?
    Grade 6 National Test Item
    Singapore Examination and Assessment Board 2010
    H
    D
    G
    E
    F
  • 6. Experiencing
    Singapore Math
    A
    C
    B
    H
    D
    G
    E
    F
  • 7. Experiencing
    Singapore Math
    A
    C
    B

    H

    D
    G
    E
    F
  • 8. concrete
    introduction
  • 9.
  • 10.
  • 11.  
    “… in which at some simple level a set of ideas or operations were introduced in a rather intuitive way …”
    Bruner 1975, p.3-4
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24. Experiencing
    Singapore Math
  • 25. Experiencing
    Singapore Math
  • 26. Experiencing
    Singapore Math
  • 27.
  • 28. Experiencing
    Singapore Math
  • 29. Experiencing
    Singapore Math
  • 30. Experiencing
    Singapore Math
  • 31. Experiencing
    Singapore Math
  • 32. Experiencing
    Singapore Math
  • 33. Experiencing
    Singapore Math
  • 34. Experiencing
    Singapore Math
  • 35. Experiencing
    Singapore Math
  • 36.
  • 37.
  • 38.
  • 39. Experiencing
    Singapore Math
  • 40. Experiencing
    Singapore Math
  • 41. Experiencing
    Singapore Math
  • 42. Experiencing
    Singapore Math
    Traditional Gift from Singapore ‘Five Stones’
  • 43.
  • 44. Experiencing
    Singapore Math
    Session 
     From Concrete to Pictorial
  • 45. emphasis
    visualization
  • 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
  • 55. Experiencing
    Singapore Math
  • 56. Experiencing
    Singapore Math
    Session 
    • Bar Model Method
    • 57. Where Does It All Lead To?
  • emphasis
    visualization
  • 58. Experiencing
    Singapore Math
  • 59. Experiencing
    Singapore Math
  • 60. Experiencing
    Singapore Math
    Dolphin show
    1235
    275
    Bird show
    960
    1235 – 275 = ?
    1235 – 235 – 40 =
    960
    1235 + 960 = ?
    2235 – 40 = 2235 – 35 – 5 =
    2195
    2195 people attend both shows.
  • 61. Experiencing
    Singapore Math
    2 units = $24
    2 units = $24
    1 unit = $12
    The book costs $12.
  • 62. Experiencing
    Singapore Math
  • 63. Experiencing
    Singapore Math
    3 units = $24
    3 units = $24
    1 unit = $8
    The book costs $16.
    2 units = $16
  • 64. Experiencing
    Singapore Math
    3 units = $24
    1 unit = $8
    4 units = $32
    The book costs $32 ÷ 3 = $10.67.
    $24
  • 65. emphasis
    variation
  • 66. emphasis
    variation
  • 67. Experiencing
    Singapore Math
    Session 
    • Variation, Not Repetition
    • 68. Teach Less, Learn More
  • Experiencing
    Singapore Math
  • 69.
  • 70.
  • 71. emphasis
    variation
    connections
  • 72. Experiencing
    Singapore Math
  • 73. Experiencing
    Singapore Math
  • 74. Experiencing
    Singapore Math
  • 75. Experiencing
    Singapore Math
  • 76. Experiencing
    Singapore Math
  • 77. Experiencing
    Singapore Math
  • 78. Experiencing
    Singapore Math
  • 79. Experiencing
    Singapore Math
  • 80. Experiencing
    Singapore Math
  • 81. Experiencing
    Singapore Math
  • 82. Experiencing
    Singapore Math
  • 83. Experiencing
    Singapore Math
  • 84. Experiencing
    Singapore Math
  • 85. How to make sure the butterfly cannot flyHow do you get a butterfly?First there is the egg which hatches into a caterpillar. The caterpillar eats and grows. At the right time, it makes a cocoon out of its own body. While in the cocoon, the caterpillar changes into a butterfly.When the butterfly is ready, it starts to break through the cocoon. First a hole appears. Then the butterfly struggles to come out through the hole. This can take a few hours.If you try to "help" the butterfly by cutting the cocoon, the butterfly will come out easily but it will never fly. Your "help" has destroyed the butterfly.The butterfly can fly because it has to struggle to come out. The pushing forces lots of enzymes from the body to the wing tips. This strengthens the muscles, and reduces the body weight. In this way, the butterfly will be able to fly the moment it comes out of the cocoon. Otherwise it will simply fall to the ground, crawl around with a swollen body and shrunken wings, and soon die.If the butterfly is not left to struggle to come out of the cocoon, it will never fly.We can learn an important lesson from the butterfly.If we do not have struggles and challenges in our work, we will never grow strong and capable. If life has no difficulties, we will become weak and helpless.Lim Siong GuanHead, Civil Service
  • 86. Experiencing
    Singapore Math
    Session 
    • Current Developments
    in Mathematics Instruction in Singapore
  • 87. Revision of the Curriculum
    1992
    2001
    2007
    2013
    thinking
    curriculum and standards
  • 88. thinking
    textbooks
  • 89. thinking
    pedagogy
  • 90. PERI Report
    2010
    engagement
    pedagogy
  • 91. engagement
    pedagogy
  • 92. 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.
  • 93. 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.
  • 94. struggling
    learners
    system-wide strategies
    learning support programs
    foundation programs
  • 95. lessonstudy
    professional development
  • 96. Singapore Math Summer Institute
    Worchester State University, MA      6-8 July 2011
    where content meets pedagogy
    DrYeap Ban Har Dr Richard Bisk  Several Other Singapore Presenters 
    Contact melissaooi@sg.marshallcavendish.com