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


Problem 1

B A N H A R


Problem 1

B A N H A R

Which letter is counted 99?


Problem 1

B A N H A R1 2 3 4 5 6

11 10 9 8 7

12 13 14 15 16

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?


Problem 1

Number of Letters Which Letter?

6

3

7

5

4

8

3rd

3rd

3rd

3rd

3rd

1st

Which letter in your name is counted 99?


Reflect

Generalization is an important aspect of mathematics learning.

What are some strategies used to

develop this competency?


Problem 2

Draw polygon with four dots on the sides.


Problem 2

5 dots

Responses from Participants


Problem 2



Problem 2

Area of Polygon Number of Dots

1

2

3

4

5

6

7

0

1

2

3

4

5

6



Does this have an area of 9 square units?

Does this have an area of 5 square units?


Reflect

Visualization in addition to generalization is an important aspect of mathematics learning.

What are some strategies used to

develop this competency?


Assessment

Approaching

Meeting Exceeding

Adding three one-digit numbers

Observe a pattern and generalize

Articulate ideas – orally and in writing


Problem 3


Problem 3

2080

60100 + 100 + 100 + 60 = 360

There are 360 pupils in Badminton Club now.


Problem 4

Divide into 4 equal parts.

What are equal parts?

Problem 4

Problem 4

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


Problem 5

Share 3 fourths equally among 3.


Problem 5


3 fourths 3 = 1 fourth


Problem 5

Share 3 fourths equally between 2.

3 fourths 2 = 6 eighths 2= 3 eighths


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.


Problem 6

2

1

5

43

1

3

5

42

1

5

4

32

Total = 8

Total = 9

Total = 10


Problem 6

3

2

6

54

2

4

6

53

2

6

5

43

Total = 11

Total = 12

Total = 13


Problem 6

2

6

5

43

Numbers Total Number in the Middle

1,2,3,4,5 8 1 9 3 10 5 2,3,4,5,6 11 2 12 4 13 6

3,4,5,6,7

91,92,93,94,95


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


Problem 9

ABCD is a square.So, AB = BCMN = AB and PQ = BCSo, MN = PQ

It is given that PQ = MQ and NQSo, MNQ is equilateral triangle.

Angle MQN = 60o

Angle PQN = 30o

PQN is isosceles triangle.Angle QPN = 75o

Angle MPN = 150o


Problem 10



StrategyBar Model

3000 boxes are arranged in three piles.The second pile has twice as many boxes as the first. The third pile has 3 times as many boxes as the first.

Edgewood Elementary School, New York


StrategyBar Model

3000 boxes are arranged in three piles.The second pile has twice as many boxes as the first. The third pile has 3 times as many boxes as the first.

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


StrategyBar Model

3000 boxes are arranged in three piles.The first pile has 10 more boxes than the second pile. The second pile has 3 times as many boxes as the third.



StrategyBar Model

3000

3000 boxes are arranged in three piles.The first pile has 10 more boxes than the second pile. The third pile has 3 times as many boxes as the second.

10


StrategyBar Model

3000 – 10

3000 boxes are arranged in three piles.The first pile has 10 more boxes than the second pile. The third pile has 3 times as many boxes as the second.

2990 5 = ?

2990 10 = 299

The first pile has 608 boxes, the second has 598 and the third has 1794.


StrategyBar Model


3000 boxes are arranged in three piles.The second pile has 20 more than the first pile. The third pile has 50 more than the second pile.

50


StrategyBar Model

3000


20

20


StrategyBar Model

3000 – 90


2910 3 =

2910

2700 210

970

50


StrategyBar Model

970


20

20

990

1040

3x – 2 = 8

What


Visualization Generalization

Number Sense

Metacognition

Communication

How


Visuals Manipulative

Anchor Task

Variations

Questions

1 2

3 4

5 6

7 8

9 0

Cut t

he d

igits

out

for u

se in

the

activ

ities

.

Utah ASCD Conference

Education

Transcript of Utah ASCD Conference