This is Lecture 6 on Day 3 of the three-day institute in Worcester State University.

1. Plenary Lecture 6 Yeap Ban
Har
Strategies for Advanced Learners

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

3. FRAC
TION
the C P A
approach

9. Singapore Math Institute, Hawaii

10. 4 eighteenths
1 fourth 8 9
+
36 36
Primary School Leaving Examination
Singapore Examination and Assessment Board

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

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

13. St Edward’s School, Florida

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

16. It does not
FRAC
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)

18. extend the problem
to increase level of thinking

19. The more advanced learners get to
learn skills that they are not yet good
at e.g. articulation of ideas.
Globe Academy, London

20. Review
Solve 3x = 12 Guided Practice
2x + 1 = 9
Main Task 4x – 1 = 15
Solve 3x + 1 = 16 3x – 2 = 8
2x – 5 = 11
Extension
3x – 1 = 10
3x – 2 = 8
Globe Academy, London

21. deepen students’ thinking
practice process
skills

22. 12 + 34 = 46
What do you notice?

23. get them to generalize
while the rest
consolidate

24. Reedley International School, Manila

25. Reedley International School, Manila

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

27. Math Journal
Reedley International School, Manila

28. use of journaling
to differentiate instruction

29. Susan says that 12 + 3 is the same as 3+ 12
Is she right?
Why? You can write or draw to show me.
Ministry of Education, Singapore

30. Pathlight School, Singapore

31. Pathlight School, Singapore

32. Pathlight School, Singapore

33. Pathlight School, Singapore

34. Pathlight School, Singapore

37. Student B
4770
+3250
$8120
Student A Reedley International School, Manila

38. 4770
-3250
1520
Student C
Reedley International School, Manila
1520
+3250
Student D 4770

39. evaluate other’s solutions
critical thinking

41. Lesson 2 June 18, 2012
Jack $3
Jack
Kyla $2
Kyla
gave
more
had
than

42. problem posing
defining ill-defined problems

43. Lesson 2 June 18, 2012
Open Lesson at Hawaii, USA

46. Assumption English School, Singapore

47. Assumption English School, Singapore

49. Plenary Lecture 6 Yeap Ban
Har
Strategies for Advanced Learners