utah ascd conference
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Strategies for SUCCESS! in
Teaching Mathematics
Yeap Ban Har
Credit: PCBS de Driemaster, The Netherlands
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Strategies for SUCCESS! in Teaching Mathematics
How? Strategies
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Strategies for SUCCESS! in Teaching Mathematics
What? Key Competencies
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
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Strategies for SUCCESS! in Teaching Mathematics
Problem 1
B A N H A R
Which letter is counted 99?
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Strategies for SUCCESS! in Teaching Mathematics
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?
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Strategies for SUCCESS! in Teaching Mathematics
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?
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Strategies for SUCCESS! in Teaching Mathematics
Reflect
Generalization is an important aspect of mathematics learning.
What are some strategies used to
develop this competency?
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Strategies for SUCCESS! in Teaching Mathematics
Problem 2
Draw polygon with four dots on the sides.
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Strategies for SUCCESS! in Teaching Mathematics
Problem 2
5 dots
Responses from Participants
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Strategies for SUCCESS! in Teaching Mathematics
Problem 2
Responses from Participants
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Strategies for SUCCESS! in Teaching Mathematics
Problem 2
Area of Polygon Number of Dots
1
2
3
4
5
6
7
0
1
2
3
4
5
6
Responses from Participants
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Responses from Participants
Does this have an area of 9 square units?
Does this have an area of 5 square units?
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Strategies for SUCCESS! in Teaching Mathematics
Reflect
Visualization in addition to generalization is an important aspect of mathematics learning.
What are some strategies used to
develop this competency?
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Strategies for SUCCESS! in Teaching Mathematics
Assessment
Approaching
Meeting Exceeding
Adding three one-digit numbers
Observe a pattern and generalize
Articulate ideas – orally and in writing
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Strategies for SUCCESS! in Teaching Mathematics
Problem 3
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Strategies for SUCCESS! in Teaching Mathematics
Problem 3
2080
60100 + 100 + 100 + 60 = 360
There are 360 pupils in Badminton Club now.
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Strategies for SUCCESS! in Teaching Mathematics
Problem 4
Divide into 4 equal parts.
What are equal parts?
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Problem 4
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Problem 4
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Problem 4
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Problem 4
Thank you for sharing this – which was an option given to challenge advanced students.
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Strategies for SUCCESS! in Teaching Mathematics
Problem 5
Share 3 fourths equally among 3.
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Strategies for SUCCESS! in Teaching Mathematics
Problem 5
Share 3 fourths equally among 3.
3 fourths 3 = 1 fourth
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Strategies for SUCCESS! in Teaching Mathematics
Problem 5
Share 3 fourths equally between 2.
3 fourths 2 = 6 eighths 2= 3 eighths
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Strategies for SUCCESS! in Teaching Mathematics
Problem 5
Share 3 fourths equally among 4.
3 fourths 4 = 12 sixteenths 4= 3 sixteenths
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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.
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Strategies for SUCCESS! in Teaching Mathematics
Problem 6
2
1
5
43
1
3
5
42
1
5
4
32
Total = 8
Total = 9
Total = 10
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Strategies for SUCCESS! in Teaching Mathematics
Problem 6
3
2
6
54
2
4
6
53
2
6
5
43
Total = 11
Total = 12
Total = 13
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Strategies for SUCCESS! in Teaching Mathematics
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
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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.
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Strategies for SUCCESS! in Teaching Mathematics
Problem 9
Maths Works (Second Edition) 6B
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Strategies for SUCCESS! in Teaching Mathematics
Problem 9
Maths Works (Second Edition) 6B
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Strategies for SUCCESS! in Teaching Mathematics
Problem 9
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Strategies for SUCCESS! in Teaching Mathematics
Problem 9
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Strategies for SUCCESS! in Teaching Mathematics
Problem 9
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Strategies for SUCCESS! in Teaching Mathematics
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
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Strategies for SUCCESS! in Teaching Mathematics
Problem 10
Maths Works (Second Edition) 6B
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Problem 10
Strategies for SUCCESS! in Teaching Mathematics
Maths Works (Second Edition) 6B
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Strategies for SUCCESS! in Teaching Mathematics
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
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Strategies for SUCCESS! in Teaching Mathematics
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.
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Strategies for SUCCESS! in Teaching Mathematics
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.
Edgewood Elementary School, New York
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Strategies for SUCCESS! in Teaching Mathematics
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
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Strategies for SUCCESS! in Teaching Mathematics
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.
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Strategies for SUCCESS! in Teaching Mathematics
StrategyBar Model
Edgewood Elementary School, New York
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.
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50
Strategies for SUCCESS! in Teaching Mathematics
StrategyBar Model
3000
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.
20
20
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Strategies for SUCCESS! in Teaching Mathematics
StrategyBar Model
3000 – 90
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.
2910 3 =
2910
2700 210
970
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50
Strategies for SUCCESS! in Teaching Mathematics
StrategyBar Model
970
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.
20
20
990
1040
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3x – 2 = 8
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What
Strategies for SUCCESS! in Teaching Mathematics
Visualization Generalization
Number Sense
Metacognition
Communication
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How
Strategies for SUCCESS! in Teaching Mathematics
Visuals Manipulative
Anchor Task
Variations
Questions
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1 2
3 4
5 6
7 8
9 0
Cut t
he d
igits
out
for u
se in
the
activ
ities
.
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