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1. Professional Development for Singapore Math (Lower Grades) Yeap Ban Har banhar@sg.marshallcavendish.com Pearl City, Hawaii 11 August 2011 JalanBesar PCF Kindergarten, Singapore Presentations are available at www.banhar.blogspot.com

2. Professional Development for Singapore Math (Lower Grades) Day 1 Session 1 Open Lesson Grade 1/2 Adding CPA Approach

4. Manny has 5 cookies. Lasenehas 7 cookies. Trisdynhas 6 cookies.

5. Nanakuli Elementary School, Hawaii, USA

6. Professional Development for Singapore Math (LowerGrades) Day 1 Session 2 Counting Differentiating for Thinking

7. “an excellent vehicle for the development and improvement of a person’s intellectual competence” This is the rationale stated in Singapore Mathematics curriculum document.

9. Professional Development for Singapore Math (LowerGrades) Day 1 Session 3 Counting, Adding, Subtracting CPA Approach

11. Earlybird Kindergarten Mathematics

12. JalanBesar PCF Kindergarten, Singapore

13. concrete pictorial abstract The CPA Approach is one of the fundamentals of Singapore Math.

19. Earlybird Kindergarten Mathematics

20. Earlybird Kindergarten Mathematics

21. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

22. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

23. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

24. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

25. Earlybird Kindergarten Mathematics

26. Earlybird Kindergarten Mathematics

27. Earlybird Kindergarten Mathematics

28. Earlybird Kindergarten Mathematics

29. Earlybird Kindergarten Mathematics

30. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

31. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

32. Earlybird Kindergarten Mathematics

33. Earlybird Kindergarten Mathematics Earlybird Kindergarten Mathematics

34. Earlybird Kindergarten Mathematics

35. Professional Development for Singapore Math (LowerGrades) Day 1 Session 4 Focus on Thinking

36. Method 1 It does not matter what the second digit is. If it is 0 : 60 – 6 If it is 1 : 61 – 7 which should be the same because 61 is 1 more than 60, and 7 is also 1 more than 6. 5 4

37. Method 2 Multiply the first digit by 9 Method 3 The first digit in the final answer is related to the first digit. Also the digits in the final answer sum up to 9. Method 3 Multiply the first digit by 10 and then …