Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

NCTM2011 Morning Session

1,579 views

Published on

This was presented at the NCTM Annual Meeting and Exposition. It provides participants with features of math program that make mathematics accessible to average and struggling learners.

Published in: Education
  • Be the first to comment

  • Be the first to like this

NCTM2011 Morning Session

  1. 1. Making Mathematics Accessible<br />The Singapore Method<br />DrYeap Ban Har<br />Marshall Cavendish Institute<br />Singapore<br />banhar@sg.marshallcavendish.com<br />Slides are available at www.banhar.blogspot.com<br />
  2. 2. MCI-WSU Singapore Math Summer Institute 6 – 8 July 2011<br />Comprehensive program taught collaboratively by Singapore mathematics educators and WSU’s professors.<br />
  3. 3. makes abstract concepts accessible to learners who are not yet ready for abstraction<br />The CPA Approach<br />Focus on Thinking<br />builds fundamental intellectual competencies required for learners to handle abstraction<br />
  4. 4. Grade 2<br />Multiplication<br />Example<br />Singapore<br />
  5. 5. Woodlands Primary School, Singapore<br />Grade 2<br />Multiplication<br />
  6. 6. Pictorial<br />to<br />Symbolic<br />Concrete to Pictorial<br />Symbolic<br />Reference: Primary Mathematics<br />
  7. 7. Reference: Math in Focus <br />
  8. 8. Reference: Math in Focus <br />
  9. 9. Grade 4<br />Division of Large Numbers<br />Example<br />Philippines<br />
  10. 10. Keys Grade School, Manila, The Philippines<br />
  11. 11. Grade 8<br />Volume of Pyramid<br />Example<br />Indonesia<br />
  12. 12. BinaBangsa School, Semarang, Indonesia<br />
  13. 13. Grade 2<br />Fractions<br />Example<br />Florida<br />
  14. 14. St Edward’s School, Vero Beach, Florida<br />
  15. 15.
  16. 16. Initial Concrete Experience<br />Subsequent Pictorial Representation<br />
  17. 17. Eventual Symbolic Representation<br />
  18. 18.
  19. 19. Primary 6<br />Circumference of Circles<br />Example<br />Singapore<br />
  20. 20. Fuchun Primary School, Singapore<br />
  21. 21. Fuchun Primary School, Singapore<br />
  22. 22. Kindergarten<br />Subtraction<br />Example<br />Malaysia<br />
  23. 23. mathz4kidz Learning Centre, Penang, Malaysia<br />bruner’s theory<br />concrete<br />
  24. 24. mathz4kidz Learning Centre, Penang, Malaysia<br />concrete<br />experiences<br />
  25. 25. from<br />concrete<br />to<br />pictorial<br />Reference: Earlybird Kindergarten Mathematics<br />
  26. 26. from<br />pictorial<br />to<br />abstract<br />Reference: All Kids Are Intelligent Series<br />
  27. 27. mathz4kidz Learning Centre, Penang, Malaysia<br />symbols<br />
  28. 28. Primary 1<br />Division<br />Example<br />Singapore<br />
  29. 29.
  30. 30. Reference: My Pals Are Here! Maths<br />
  31. 31. Reference: Primary Mathematics (Standards Edition)<br />
  32. 32. Reference: Primary Mathematics (Standards Edition)<br />
  33. 33. Scarsdale Middle School, New York<br />
  34. 34.
  35. 35. Primary 5<br />Multiplication of Fractions<br />Example<br />Singapore<br />
  36. 36. Da Qiao Primary School, Singapore<br />
  37. 37. Allan spent ¼ of his allowance on a gift and ¼ of the remainder on a book. The book cost $18. Find the amount of Allan’s allowance.<br />Allan’s allowance = 4 x $24 = $96<br />$72 ÷ 3 = $24<br />4 x $18 = $72<br />
  38. 38. Student’s Initial Solution<br />Student’s Alternate Solution<br />
  39. 39. The Curriculum (Ministry of Education 2006)<br />
  40. 40. The Curriculum (Ministry of Education 2006)<br />
  41. 41. The Curriculum (Ministry of Education 2006)<br />
  42. 42. makes abstract concepts accessible to learners who are not yet ready for abstraction<br />The CPA Approach<br />Focus on Thinking<br />builds fundamental intellectual competencies required for learners to handle abstraction<br />
  43. 43. MCI-WSU Singapore Math Summer Institute 6 – 8 July 2011<br />Comprehensive program taught collaboratively by Singapore mathematics educators and WSU’s professors.<br />

×