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NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010
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NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010

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NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010

NCTM Annual Meeting & Exposition (Session 1) San Diego 23 April 2010

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  • 1. problems
    from
    singapore
    classrooms
    Dr Yeap Ban Har
    National Institute of Education
    Nanyang Technological University
    Singapore
    banhar.yeap@nie.edu.sg
    www.singaporemath.com
  • 2. Primary Mathematics Standards Edition (Grade 6)
    problems
    to teach new
    concepts or skills
  • 3. Primary Mathematics Standards Edition (Grade 6)
  • 4. Primary Mathematics Standards Edition (Grade 6)
  • 5. Primary Mathematics Standards Edition (Grade 6)
  • 6. Primary Mathematics Standards Edition (Grade 6)
  • 7.
  • 8.
  • 9.
  • 10. Area > 2r2
  • 11. Area < 4r2
  • 12. 2r2 < Area < 4r2
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18. 2r2 < Area < 4r2
  • 19. 2r2 < r2 < 4r2
  • 20. problems
    for students
    to apply what they learn
    Primary Mathematics Standards Edition (Grade 6)
  • 21. Primary Mathematics Standards Edition (Grade 6)
  • 22. Primary Mathematics Standards Edition (Grade 6)
  • 23. Primary Mathematics Standards Edition (Grade 6)
  • 24. Primary Mathematics Standards Edition (Grade 6)
  • 25. Primary Mathematics Standards Edition (Grade 6)
  • 26. Primary Mathematics Standards Edition (Grade 6)
  • 27. Primary Mathematics Standards Edition (Grade 6)
  • 28. Primary Mathematics Standards Edition (Grade 6)
  • 29. Primary Mathematics Standards Edition (Grade 6)
  • 30.
  • 31.
  • 32.
  • 33.
  • 34.
  • 35. 1 h = 60 min
    60 ÷ 4 = 15
    15 x 3 = 45
    ¾ x 60 = 45
    She practiced for 45 minutes.
    Primary Mathematics Standards Edition
  • 36. Mathematical Variation
    16
    Primary Mathematics Standards Edition
  • 37. 16
    Mathematical Variation
    30
    Primary Mathematics Standards Edition
  • 38. Keys Grade School, Manila, The Philippines
  • 39. Keys Grade School, Manila, The Philippines
  • 40. problems
    to teach new
    concepts or skills
    Keys Grade School, Manila, The Philippines
  • 41. Skemp
    Understanding in mathematics
    relational
    (conceptual)
    instrumental
    (procedural)
    conventional
    Teaching for conceptual understanding is given emphasis in Singapore Math.
    Primary Mathematics Standards Edition Grade 6
  • 42. Primary Mathematics Standards Edition Grade 6
  • 43. problems
    to teach new
    concepts or skills
  • 44. 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
  • 45. Mathematical Variation
  • 46. Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence ..
    Ministry of Education 2006
    DaQiao Primary School
  • 47.
  • 48.
  • 49.
  • 50.
  • 51.
  • 52.
  • 53. problems
    from
    singapore
    classrooms
    Dr Yeap Ban Har
    National Institute of Education
    Nanyang Technological University
    Singapore
    banhar.yeap@nie.edu.sg
    Another session by Yeap Ban Har will be presented today at
    Manchester Hyatt Douglas Pavilion A
    3:00 – 4:30
    www.singaporemath.com