MAV2013 Model Method

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MAV2013 Model Method

  1. 1. Bar Model Method in Primary Mathematics 5 Dec 2013 | MAV Annual Conference Dr Yeap Ban Har yeapbanhar@gmail.com Marshall Cavendish Institute Slides are available at www.banhar.blogspot.com The Merlion by Yeap Ken Min
  2. 2. | Hanusek, Jamison, Jamison & Woessmann 2008
  3. 3. “Upon separation from Malaysia in 1965, Singapore was faced with … high levels of unemployment and poverty. 70% of Singapore’s households lived in badly overcrowded conditions, and a third of its people squatted in slums on the city fringes. Unemployment averaged 14%, GDP per capita was less than $2,700, and half of the population was illiterate. “
  4. 4. Seely Place Elementary School, New York  Using concrete and pictorial representations help students acquire abstract ideas
  5. 5. Escuela de Guetamala, Chile 6 6 6 6
  6. 6. Example 0 Typical Word Problems Let’s warm up with a typical textbook problem. Sumin has 1135 local coins. He has three times as many foreign coins as local coins. Sumin puts the coins equally into 5 boxes.
  7. 7. Sumin has 1135 local coins. He has three times as many foreign coins as local coins. number of local coins 1135 number of foreign coins number of foreign coins = 3 x 1135 = 3300 + 105 = 3405
  8. 8. Sumin puts the coins equally into 5 boxes. number of local coins number of foreign coins 3405
  9. 9. Sumin puts the coins equally into 5 boxes. 4540  5 =  There are  coins in each box.
  10. 10. Example 1 Learning Basic Ideas 1 2  3 3
  11. 11. Seely Place Elementary School, New York
  12. 12. Seely Place Elementary School, New York
  13. 13. Example 2 2x 1  5 Learning Basic Ideas 1 5
  14. 14. Example 2 2x 1  5 2x  5 1 Learning Basic Ideas 1 5
  15. 15. Example 3 The ratio of the number of boys to the number of girls in a school is 6 : 5 . There are 1353 children in the school. What questions can we answer?
  16. 16. Example 4
  17. 17. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contains 116 books.
  18. 18. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contains 116 books.
  19. 19. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contains 116 books.
  20. 20. B A C 116 20
  21. 21. B 4 units = 116 - 20 4 units = 96 1 units = 96  4 A 116 - 20 1 units = 20 + 4 = 24 What questions can we answer? C 20
  22. 22. Box B contains twice as many books as Box A. Box C contains 20 more books than Box A. Together, the three boxes contains 116 books. Edgewood Elementary School, New York
  23. 23. x + 2x + x + 20 = 116 4x = 116 – 20 = 96 x = 96  4 = … x A x C Edgewood Elementary School, New York B x x 116 20
  24. 24. Example 5 Homework A challenging problem for Primary 5.
  25. 25. Lesson  Date //
  26. 26. Lesson  Date // 82% 342 76%
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