1. Keynote
Teaching Through Problem Solving
Make Textbook Pages Come Alive
Yeap Ban Har
Slides are available at
www.banhar.blogspot.com

2. key focus
of singapore
mathematics

3. problem
solving
Learning Standards

4. Divide the square into 4
equal parts

5. Divide the square into 4
equal parts

6. Divide the square into 4
equal parts

7. Divide the square into 4
equal parts

8. Divide the square into 4
equal parts

10. Divide the square into 4
equal parts

11. Pathlight School, Singapore

12. My Pals Are Here! Maths (Second Edition)

14. Singapore Math Institute, Hawaii

15. St Edward’s School, Florida
Initial
Concrete
Experience
Subsequent
Pictorial
Representation
My Pals Are Here! Maths (Second Edition)
Eventual
Symbolic
Representation

16. My Pals Are Here! Maths (Second Edition)
Eventual
Symbolic
Representation

17. St Edward’s School, Florida

18. St Edward’s School, Florida
Grade 2
concrete pictorial  abstract
Primary Mathematics (U.S. Edition)

20. FRAC
It does not show
half. What does it
show then? TION
opportunities for
differentiation
It does not show
fourth. What does it
show then?
Primary Mathematics (U.S. Edition)

22. thinking
problem
solving
conceptual
understanding

25. 2 4 6 8
  
3 6 9 12

26. 6 1

12 ??
6 2 6 3
 
12 ?? 12 ??

27.     


28. Method 2
3 6

4 8
Method 3
1 1

4 8
Method 1
What if …?
10 8
11 9

29. Method 1
Method 2
Write all as twelfth
Method 3
Compare to half

30. 62=3

31. 62=3

32. 62=3
3 1
3   3 1
4 3

33. Primary Mathematics (Standards Edition)

34. thinking
problem
solving
conceptual
understanding