Pearl City Hawaii 8 August 2011

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Thi is Day 1 of a three-day professional development for teachers in Hawaii. Today, we focus on the fundamenatals - thinking and learning theories basic to Singapore Math. There was also an Open Lesson with Grade 4 students.

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Pearl City Hawaii 8 August 2011

  1. 1. Professional Development for <br />Singapore Math (Upper Grades)<br />Yeap Ban Har<br />banhar@sg.marshallcavendish.com<br />Pearl City, Hawaii<br />Day 1<br />8 August 2011<br />Presentations are available at <br />www.banhar.blogspot.com<br />
  2. 2. Professional Development for <br />Singapore Math (Upper Grades)<br />Day 1 Session 1<br />Open Lesson<br />CPA Approach<br />
  3. 3. Nanakuli Elementary School, Hawaii, USA<br />
  4. 4. Nanakuli Elementary School, Hawaii, USA<br />
  5. 5. Nanakuli Elementary School, Hawaii, USA<br />
  6. 6. concrete<br />pictorial<br />abstract<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />Nanakuli Elementary School, Hawaii, USA<br />
  7. 7. Nanakuli Elementary School, Hawaii, USA<br />
  8. 8. concrete<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />
  9. 9. pictorial<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />
  10. 10. pictorial / abstract<br />16<br />16 ÷ 4<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />
  11. 11. pictorial / abstract<br />16<br />3 x 4<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />
  12. 12. abstract<br />4<br />34×16<br /> <br />16<br />16 ÷ 4<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />
  13. 13. abstract<br />4<br />34×16<br /> <br />16<br />3 x 4<br />The CPA Approach is one of the fundamentals of Singapore Math.<br />
  14. 14. Professional Development for <br />Singapore Math (Upper Grades)<br />Day 1 Session 2<br />Examples from Fractions<br />CPA Approach<br />
  15. 15. The Concept of Equal Parts in Fractions<br />
  16. 16. <br />The Concept of Equal Parts in Fractions<br />
  17. 17.
  18. 18. <br />
  19. 19.
  20. 20. conceptual<br />understanding<br />Another emphasis of Singapore Math is the focus on conceptual understanding.<br />
  21. 21. Let’s learn some math…. What can be counted together i.e. added? What can’t?<br />
  22. 22.
  23. 23.
  24. 24. “A curriculum as it develops should revisit these basic ideas repeatedly, building upon them until the student has grasped the full formal apparatus that goes with them.” <br />Jerome Bruner 1960 <br />The Process of Education<br /> <br />One feature of Singapore Math is the spiral approach.<br />
  25. 25. Emphasis on Systematic Variation<br />One feature of Singapore Math is the spiral approach and systematic variation.<br />
  26. 26.
  27. 27.
  28. 28.
  29. 29. This represents 1<br />156 =<br /> <br />116<br /> <br />
  30. 30. This represents 1<br />76 =<br /> <br />
  31. 31. This represents 1<br />76 =<br /> <br />116<br /> <br />
  32. 32. Professional Development for <br />Singapore Math (Upper Grades)<br />Day 1 Session 3<br />Fraction Division <br />CPA Approach<br />

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