Utah ASCD Conference

Strategies for
SUCCESS! in
Teaching
Mathematics

Yeap Ban Har

Credit: PCBS de Driemaster, The Netherlands

Strategies for SUCCESS! in Teaching Mathematics

How? Strategies


What? Key Competencies


B A N H A R

Problem 1


B A N H A R

Which letter is
Problem 1 counted 99?


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?


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


Generalization is an
important aspect of
mathematics learning.

Reflect What are some strategies
used to develop this
competency?


Problem 2

Draw polygon with four dots on the sides.


Problem 2

Responses from Participants

5 dots


Problem 2



Area of Polygon Number of Dots

1 0

2 1
Problem 2
3 2
4 3

5 4

6 5

7 6

Does this have an area of 9 square
units?

Does this have an area of 5 square
units?



Visualization in addition
to generalization is an
important aspect of
mathematics learning.
Reflect
What are some strategies
used to develop this
competency?

Approaching Meeting Exceeding

Adding
three one-
digit
numbers
Observe a
Assessment
pattern and
generalize
Articulate
ideas –
orally and
in writing


Problem 3


80 20

100 + 100 + 100 + 60 = 360 60

Problem 3 There are 360 pupils in Badminton Club now.


Divide into 4 equal parts.

Problem 4

What are equal parts?

Problem 4

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


Share 3 fourths equally
among 3.

Problem 5


among 3.

Problem 5

3 fourths  3 = 1 fourth


between 2.

Problem 5

3 fourths  2
= 6 eighths  2
= 3 eighths


among 4.

Problem 5

3 fourths  4
= 12 sixteenths  4
= 3 sixteenths


Problem 6

Arrange the numbers 1, 2,
3, 4 and 5 so that the
vertical total is equal to
the horizontal total.


Total = 8 2

3 1 4
1
Problem 6 5
2 5 3
Total = 9 1
4
2 3 4
Total = 10
5


Total = 11 3

4 2 5
2
Problem 6 6
3 6 4
Total = 12 2
5
3 4 5
Total = 13
6


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


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.


Problem 9

Maths Works (Second Edition) 6B


Problem 9

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


Problem 10

Maths Works (Second Edition) 6B


Edgewood Elementary School, New York

Strategy
Bar Model


Strategy
Bar Model
The first pile has 500 boxes, the second has
1000 and the third has 1500.


10

3000

Strategy
Bar Model


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.


Strategy
Bar Model

Edgewood Elementary School, New York


20 3000

20 50
Strategy
Bar Model


3000 – 90

Strategy
Bar Model
2910  3 = 970

2910

2700 210


970

20 990

20 50 1040
Strategy
Bar Model


What


How

1

5

7

9
3

6
4
2

0
8
Cut the digits out for use in the activities.

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