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

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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?

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

Area of Polygon Number of Dots

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

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

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

Total = 8

Total = 9

Total = 10

Problem 6

Total = 11

Total = 12

Total = 13

Problem 6

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

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 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.

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.

StrategyBar Model

3000 – 90

2910 3 =

2700 210

StrategyBar Model

3x – 2 = 8

Visualization Generalization

Number Sense

Metacognition

Communication

Visuals Manipulative

Anchor Task

Variations

Questions

Utah ASCD Conference

Education

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