1. Strategies for
SUCCESS! in
Teaching
Mathematics
Yeap Ban Har
Credit: PCBS de Driemaster, The Netherlands

2. Strategies for SUCCESS! in Teaching Mathematics
How? Strategies

3. Strategies for SUCCESS! in Teaching Mathematics
What? Key Competencies

4. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

5. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

6. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

7. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

8. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

9. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

10. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

11. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

12. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

13. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

14. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

15. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

16. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

17. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

18. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

19. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

20. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

21. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

22. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Problem 1

23. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
Which letter is
Problem 1 counted 99?

24. Strategies for SUCCESS! in Teaching Mathematics
B A N H A R
1 2 3 4 5 6
11 10 9 8 7
12 13 14 15 16
Problem 1
21 20 19 18 17
22 23 24 25 26
31 30 29 28 27
32 33 34 35 36
Which letter in your
name is counted 99?

25. Strategies for SUCCESS! in Teaching Mathematics
Number of Which Letter?
Letters
6 3rd
Problem 1 3 3rd
7 3rd
5 3rd
4 3rd
Which letter in your
name is counted 99? 8 1st

26. Strategies for SUCCESS! in Teaching Mathematics
Generalization is an
important aspect of
mathematics learning.
Reflect What are some strategies
used to develop this
competency?

27. Strategies for SUCCESS! in Teaching Mathematics
Problem 2
Draw polygon with four dots on the sides.

28. Strategies for SUCCESS! in Teaching Mathematics
Problem 2
Responses from Participants
5 dots

29. Strategies for SUCCESS! in Teaching Mathematics
Problem 2
Responses from Participants

30. Strategies for SUCCESS! in Teaching Mathematics
Area of Polygon Number of Dots
1 0
2 1
Problem 2
3 2
Responses from Participants
4 3
5 4
6 5
7 6

31. Does this have an area of 9 square
units?
Does this have an area of 5 square
units?
Responses from Participants

32. Strategies for SUCCESS! in Teaching Mathematics
Visualization in addition
to generalization is an
important aspect of
mathematics learning.
Reflect
What are some strategies
used to develop this
competency?

33. Strategies for SUCCESS! in Teaching Mathematics
Approaching Meeting Exceeding
Adding
three one-
digit
numbers
Observe a
Assessment
pattern and
generalize
Articulate
ideas –
orally and
in writing

34. Strategies for SUCCESS! in Teaching Mathematics
Problem 3

35. Strategies for SUCCESS! in Teaching Mathematics
80 20
100 + 100 + 100 + 60 = 360 60
Problem 3 There are 360 pupils in Badminton Club now.

36. Strategies for SUCCESS! in Teaching Mathematics
Divide into 4 equal parts.
Problem 4
What are equal parts?

37. Problem 4

38. Problem 4

39. Problem 4

40. Problem 4
Thank you for sharing this – which was an option given
to challenge advanced students.

41. Strategies for SUCCESS! in Teaching Mathematics
Share 3 fourths equally
among 3.
Problem 5

42. Strategies for SUCCESS! in Teaching Mathematics
Share 3 fourths equally
among 3.
Problem 5
3 fourths  3 = 1 fourth

43. Strategies for SUCCESS! in Teaching Mathematics
Share 3 fourths equally
between 2.
Problem 5
3 fourths  2
= 6 eighths  2
= 3 eighths

44. Strategies for SUCCESS! in Teaching Mathematics
Share 3 fourths equally
among 4.
Problem 5
3 fourths  4
= 12 sixteenths  4
= 3 sixteenths

45. Strategies for SUCCESS! in Teaching Mathematics
Problem 6
Arrange the numbers 1, 2,
3, 4 and 5 so that the
vertical total is equal to
the horizontal total.

46. Strategies for SUCCESS! in Teaching Mathematics
Total = 8 2
3 1 4
1
Problem 6 5
2 5 3
Total = 9 1
4
2 3 4
Total = 10
5

47. Strategies for SUCCESS! in Teaching Mathematics
Total = 11 3
4 2 5
2
Problem 6 6
3 6 4
Total = 12 2
5
3 4 5
Total = 13
6

48. Strategies for SUCCESS! in Teaching Mathematics
Numbers Total Number in the Middle
1,2,3,4,5 8 1
9 3
10 5
Problem 6 2,3,4,5,6 11 2
12 4
13 6
2
3,4,5,6,7
3 6 4
91,92,93,94,95
5

49. Strategies for SUCCESS! in Teaching Mathematics
Problem 7
Pick any two digits. They must be different. Make the
largest possible number. Make the smallest possible
number. Find their difference.
Tell me the ones digit in the difference.

50. Strategies for SUCCESS! in Teaching Mathematics
Problem 9
Maths Works (Second Edition) 6B

51. Strategies for SUCCESS! in Teaching Mathematics
Problem 9
Maths Works (Second Edition) 6B

52. Strategies for SUCCESS! in Teaching Mathematics
Problem 9

53. Strategies for SUCCESS! in Teaching Mathematics
Problem 9

54. Strategies for SUCCESS! in Teaching Mathematics
Problem 9

55. Strategies for SUCCESS! in Teaching Mathematics
ABCD is a square.
So, AB = BC
MN = AB and PQ = BC
So, MN = PQ
It is given that PQ = MQ and
NQ
Problem 9 So, MNQ is equilateral
triangle.
Angle MQN = 60o
Angle PQN = 30o
PQN is isosceles triangle.
Angle QPN = 75o
Angle MPN = 150o

56. Strategies for SUCCESS! in Teaching Mathematics
Problem 10
Maths Works (Second Edition) 6B

57. Strategies for SUCCESS! in Teaching Mathematics
Problem 10
Maths Works (Second Edition) 6B

58. Strategies for SUCCESS! in Teaching Mathematics
Edgewood Elementary School, New York
Strategy
Bar Model

59. Strategies for SUCCESS! in Teaching Mathematics
Strategy
Bar Model
The first pile has 500 boxes, the second has
1000 and the third has 1500.

60. Strategies for SUCCESS! in Teaching Mathematics
Edgewood Elementary School, New York
Strategy
Bar Model

61. Strategies for SUCCESS! in Teaching Mathematics
10
3000
Strategy
Bar Model

62. Strategies for SUCCESS! in Teaching Mathematics
3000 – 10
Strategy
Bar Model
2990  5 = ?
2990  10 = 299
The first pile has 608 boxes,
the second has 598 and the
third has 1794.

63. Strategies for SUCCESS! in Teaching Mathematics
Strategy
Bar Model
Edgewood Elementary School, New York

64. Strategies for SUCCESS! in Teaching Mathematics
20 3000
20 50
Strategy
Bar Model

65. Strategies for SUCCESS! in Teaching Mathematics
3000 – 90
Strategy
Bar Model
2910  3 = 970
2910
2700 210

66. Strategies for SUCCESS! in Teaching Mathematics
970
20 990
20 50 1040
Strategy
Bar Model

76. 3x – 2 = 8

77. Strategies for SUCCESS! in Teaching Mathematics
What

78. Strategies for SUCCESS! in Teaching Mathematics
How

80. 1
5
7
9
3
6
4
2
0
8
Cut the digits out for use in the activities.