Mahasarakham Rajabhat University Day 2
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Rajabhat Maha Sarakham University, like all other Rajabhat Universities in Thailand, grew out of teacher training colleges. Today, RMU is one of two universities in Thailand that offer doctoral degree ...

Rajabhat Maha Sarakham University, like all other Rajabhat Universities in Thailand, grew out of teacher training colleges. Today, RMU is one of two universities in Thailand that offer doctoral degree in mathematics education.

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Mahasarakham Rajabhat University Day 2 Presentation Transcript

  • 1. MahasarakhamRajabhat University
    Transforming The Mathematics Classroom
    Dr Yeap Ban Har
    Principal
    Marshall Cavendish Institute
    Singapore
    Director for Curriculum & Professional Development
    Pathlight School
    Singapore
    12 – 13 August 2010
    Princess Elizabeth Primary School
    CHIJ Our Lady of Good Counsel
    Day 2
    Catholic High School (Primary)
    Keys Grade School, Manila
  • 2. effective
    mathematics
    teaching
    learning theories
    BinaBangsa School, Indonesia
  • 3. Bruner
  • 4. Bruner
    The concrete  pictorial  abstract approach is used to help the majority of learners to develop strong foundation in mathematics.
    Division
    National Institute of Education, Singapore
  • 5.
  • 6.
  • 7. Division
    Princess Elizabeth Primary School, Singapore
  • 8. mathz4kidz Learning Centre, Penang, Malaysia
    bruner’s theory
    concrete
    A lesson from Earlybird Kindergarten Mathematics
  • 9. mathz4kidz Learning Centre, Penang, Malaysia
    concrete
    experiences
  • 10. mathz4kidz Learning Centre, Penang, Malaysia
    from
    concrete
    to
    pictorial
  • 11. from
    pictorial
    to
    abstract
    All Kids Are Intelligent Series
  • 12. mathz4kidz Learning Centre, Penang, Malaysia
    symbols
  • 13. using
    concrete
    materials
    Professional Development in AteneoGrade School, Manila, The Philippines
    Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile
  • 14. Multiplication
    Catholic High School (Primary), Singapore
  • 15. Primary Mathematics (Standards Edition) 2A
    Pictorial Before Abstract
  • 16. bruner
    Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile
  • 17. skemp’s
    theory
    conceptual
    understanding
    BinaBangsa School, Semarang, Indonesia
  • 18. Keys Grade School, Manila, The Philippines
  • 19. Keys Grade School, Manila, The Philippines
  • 20. Skemp
    Understanding in mathematics
    relational
    (conceptual)
    instrumental
    (procedural)
    conventional
    Teaching for conceptual understanding is given emphasis in Singapore Math.
    Pedagogical Principle:
    Skemp
    Primary Mathematics Standards Edition Grade 6
  • 21. skemp
    Scarsdale Middle School, New York
  • 22. Spiral Approach
  • 23. Spiral
    Spiral Within Grade
    Grade 2
    Lesson 1 347 + 129
    Lesson 2 182 + 93
    Lesson 3 278 + 86
    Spiral Between Grade
    Grade 1 Adding up to 100
    Grade 2 Adding up to 1000
    Grade 3 Adding up to 10000
  • 24. Spiral
    Spiral Between Grade
    Grade 2 Add 1/5 and 2/5
    Grade 3 Add 1/5 and 1/10
    Is adding 1/5 and 1/10 the same as adding 1/5 and 3/10?
    Grade 4 Add 3/5 and 4/5
    Add 5/6 and 1/3
    Grade 5 Add 2/5 and 1/4
    Add 4/5 and 3/4
    Add 1 ¾ and 2 ½
  • 25. Spiral Within and Between Grades
  • 26.
  • 27.
  • 28. focus on
    visualization
    bar model method
    Wellington Primary School, Singapore
  • 29. TIMSS 2007
    Trends in International Mathematics and Science Studies
    Average
    Indonesia
    Thailand
    Malaysia
    Singapore
    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
  • 30. mathematics
    education

    an excellent vehicle for the development and improvement of a person’s intellectual competence

    Wellington Primary School, Singapore
    Ministry of Education Singapore 2006
  • 31. Move 3 sticks to get two squares.
  • 32. Move 3 sticks to get two squares.
  • 33. Wellington Primary School, Singapore
  • 34. Wellington Primary School, Singapore
  • 35. Wellington Primary School, Singapore
  • 36. Wellington Primary School, Singapore
  • 37. Wellington Primary School, Singapore
  • 38. Wellington Primary School, Singapore
  • 39. “…development and improvement of a person’s intellectual competencies...” such as visualization
    Singapore Ministry of Education 2006
     
  • 40. Primary Mathematics Standards Edition
  • 41. model method
    in kindergarten
    and early grades
  • 42. Ali has 3 sweets.
    Billy has 5 sweets.
    How many sweets do they have altogether?
  • 43.
  • 44.
  • 45. model method
    in
    upper grades
  • 46. Cheryl has $20 less than David.
    Cheryl and David have $148 altogether,
    Find the amount of money Cheryl has.
    Cheryl
    $148
    20
    David
  • 47. Cheryl has $20 less than David.
    Cheryl and David have $148 altogether,
    Find the amount of money Cheryl has.
    Cheryl
    $148 - $20
    = $128
    20
    David
    $128 ÷ 2 = $64
    Cheryl has $64.
    How about David? $84
  • 48. Cheryl has $20 less than David.
    Cheryl and David have $148 altogether,
    Find the amount of money Cheryl has.
    Cheryl
    $148
    20
    David
  • 49. Cheryl has $20 less than David.
    Cheryl and David have $148 altogether,
    Find the amount of money Cheryl has.
    20
    Cheryl
    $148 + $20 = $168
    20
    David
    $168 ÷ 2 = $84
    David has $84.
    Cheryl has $64.
  • 50.
  • 51.
  • 52.
  • 53. At first Shop A had 156 kg of rice and Shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice that Shop A had was 4 times that of Shop B. How many kilograms of rice did Shop A sell? 
    156 kg
    A
    B
    72 kg
  • 54. At first Shop A had 156 kg of rice and Shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice that Shop A had was 4 times that of Shop B. How many kilograms of rice did Shop A sell? 
    3 units = 156 kg – 72 kg = 84 kg
    1 unit = 28 kg
    Each shop sold 64 kg of rice.
    156 kg
    A
    28
    B
    72 kg
  • 55. Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes.
    What is the mass of Rahim’s clothes?
    What is the mass of the suitcase?
    29 kg
    Siti
    Rahim
    11 kg
  • 56. Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes.
    What is the mass of Rahim’s clothes?
    What is the mass of the suitcase?
    29 kg
    11 kg
    18 kg
    Siti
    2 units = 18 kg
    1 unit = 9 kg
    Rahim
    Rahim’s clothes is 9 kg.
    The suitcase is 2 kg.
    11 kg
    We can also find the mass of Siti’s clothes (27 kg) if required.
  • 57. Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes.
    What is the mass of Rahim’s clothes?
    What is the mass of the suitcase?
    x + y = 11
    x + 3y = 29
    x
    y
    y
    y
    Siti
    2y = 29 – 11 = 18
    x
    y
    Rahim
    y = 18 ÷ 2 = 9
  • 58.
  • 59.
  • 60. engaging
    pedagogies
    bar model method
    RajabhatMahasarakham University, Thailand
  • 61. Start with any number of beans.
    Take turns to remove beans from the table.
    Either take one or two beans.
    The one who take the last one or two beans wins the game!
  • 62. How many npn-congruent quadrilaterals of area 5 square units can be drawn on the geo-paper? The vertices must be on the dots.
    RajabhatMahasarakham University, Thailand
  • 63. RajabhatMahasarakham University, Thailand
  • 64. RajabhatMahasarakham University, Thailand
  • 65. RajabhatMahasarakham University, Thailand
  • 66. RajabhatMahasarakham University, Thailand
  • 67. RajabhatMahasarakham University, Thailand
  • 68. RajabhatMahasarakham University, Thailand
  • 69. RajabhatMahasarakham University, Thailand
  • 70. RajabhatMahasarakham University, Thailand
  • 71. RajabhatMahasarakham University, Thailand
  • 72. RajabhatMahasarakham University, Thailand
  • 73. RajabhatMahasarakham University, Thailand
  • 74.
  • 75. RajabhatMahasarakham University, Thailand