Yeap Ban Har gave the Opening Keynote and the Closing Keynote on the first day. He also taught one Core Elective on using bar models to solve challenging problems.

1. Opening Keynote
What to Teach & How to Teach
Key Questions in Singapore Math
Yeap Ban Har
Slides are available at
www.banhar.blogspot.com

2. key focus
of singapore
mathematics

3. problem
solving

4. thinking

5. conceptual
understanding

6. problem
solving
Learning Standards

7. problem
solving
Textbooks

8. Nury 3450
Sue ? 1286

9. Reedley International School, Manila

10. Reedley International School,Reedley International School, Manila
Manila

11. Nury 3450
Sue 1286
2164
3450 – 1286 = 2164 ?? Check
Reedley International School, Manila
Reedley International School, Manila

12. Math Journal
Reedley International School, Manila

13. TV ?
Computer $1950 $250

14. problem
solving
Textbook

16. problem
solving
National Examination

17. 27 x 5 = 100 + 35 = 135
135  3 = 40 + 5 = 45
120 15 There were 45 books on each shelf at first.

18. 27 x 5 = 135

19. 3x = 5(30 – 3)
3x = 5(10 – 1)
3x = 5(9) = 45
x
x
x

20. thinking
problem
solving
conceptual
understanding

21. Concrete  Pictorial  Abstract
Princess Elizabeth Primary School, Singapore
15  3 = 5
symbolic
enactive
iconic
J. Bruner My Pals Are Here! Maths (Second Edition)

22. Primary Mathematics (Standards Edition)

23. My Pals Are Here! Maths (Third Edition)

24. 7 +  = 12
Princess Elizabeth Primary School, Singapore

25. 7 +  = 12

26. 7 +  = 12
Add 3 to get 10
Add 2 to get 12
Princess Elizabeth Primary School, Singapore

27. 7 +  = 12
Add 3 to get 10
Add 2 to get 12
Shaping Maths (Third Edition)

28. 6+2
8+4
2 6

29. My Pals Are Here! Maths (Third Edition)

30. My Pals Are Here! Maths (Third Edition)

33. My Pals Are Here! Maths (Third Edition)