Utah ASCD Conference

Strategies for SUCCESS! in Teaching Mathematics Yeap Ban HarCredit: PCBS de Driemaster, The Netherlands

Strategies for SUCCESS! in Teaching Mathematics How? Strategies

Strategies for SUCCESS! in Teaching Mathematics What? Key Competencies

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

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

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?

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

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

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

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

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

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

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

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?

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

Strategies for SUCCESS! in Teaching Mathematics Problem 3

Strategies for SUCCESS! in Teaching Mathematics 80 20100 + 100 + 100 + 60 = 360 60Problem 3 There are 360 pupils in Badminton Club now.

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

Problem 4

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

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

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

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

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

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.

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

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

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 3,4,5,6,73 6 4 91,92,93,94,95 5

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

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

Strategies for SUCCESS! in Teaching Mathematics Problem 9

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

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

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

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

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

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

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.

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

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

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

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

3x – 2 = 8

Strategies for SUCCESS! in Teaching Mathematics What

Strategies for SUCCESS! in Teaching Mathematics How

1 5 79 3 6 4 20 8 Cut the digits out for use in the activities.

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Utah ASCD Conference

by Jimmy Keng on Nov 04, 2011

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Utah ASCD Conference — Presentation Transcript