wsu singapore math summer institute plenary lecture 6

49
Plenary Lecture 6 Yeap Ban Har Strategies for Advanced Learners www.banhar.blogspot.com

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This is the plenary lecture by Yeap Ban Har on Day 3 of the institute. Each day began with a plenary lecture on content and another one on pedagogy.

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Page 1: WSU Singapore Math Summer Institute Plenary Lecture 6

Plenary Lecture 6 Yeap Ban HarStrategies for Advanced Learners www.banhar.blogspot.comDifferentiating Instruction Using Singapore Math

Page 2: WSU Singapore Math Summer Institute Plenary Lecture 6

My Pals Are Here! Maths (Second Edition)

Page 3: WSU Singapore Math Summer Institute Plenary Lecture 6

F R A CT I O N the C P Aapproach

Page 4: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 5: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 6: WSU Singapore Math Summer Institute Plenary Lecture 6
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Page 8: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 9: WSU Singapore Math Summer Institute Plenary Lecture 6

Singapore Math Institute, Hawaii

Page 10: WSU Singapore Math Summer Institute Plenary Lecture 6

1 fourth

4 eighteenths

+ 8 36

9 36

Primary School Leaving ExaminationSingapore Examination and Assessment Board

Page 11: WSU Singapore Math Summer Institute Plenary Lecture 6

Initial Concrete

Experience

Subsequent Pictorial

Representation

Eventual Symbolic

Representation

My Pals Are Here! Maths (Second Edition)

St Edward’s School, Florida

Page 12: WSU Singapore Math Summer Institute Plenary Lecture 6

Eventual Symbolic

Representation

My Pals Are Here! Maths (Second Edition)

Page 13: WSU Singapore Math Summer Institute Plenary Lecture 6

St Edward’s School, Florida

Page 14: WSU Singapore Math Summer Institute Plenary Lecture 6

St Edward’s School, Florida

Grade 2concrete pictorial abstract

Primary Mathematics (U.S. Edition)

Page 15: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 16: WSU Singapore Math Summer Institute Plenary Lecture 6

It does not show half.

What does it show then?

It does not show fourth. What does it show

then?

F R A CT I O N opportunities for differentiation

Primary Mathematics (U.S. Edition)

Page 17: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 18: WSU Singapore Math Summer Institute Plenary Lecture 6

extend the problemto increase level of thinking

Page 19: WSU Singapore Math Summer Institute Plenary Lecture 6

The more advanced learners get to learn skills that they are not yet good at e.g. articulation of ideas.

Globe Academy, London

Page 20: WSU Singapore Math Summer Institute Plenary Lecture 6

3x – 2 = 8

ReviewSolve 3x = 12

Main TaskSolve 3x + 1 = 16

Extension3x – 1 = 10

Guided Practice2x + 1 = 94x – 1 = 153x – 2 = 82x – 5 = 11

Globe Academy, London

Page 21: WSU Singapore Math Summer Institute Plenary Lecture 6

deepen students’ thinkingpractice process

skills

Page 22: WSU Singapore Math Summer Institute Plenary Lecture 6

12 + 34 = 46

What do you notice?

Page 23: WSU Singapore Math Summer Institute Plenary Lecture 6

get them to generalizewhile the rest consolidate

Page 24: WSU Singapore Math Summer Institute Plenary Lecture 6

Reedley International School, Manila

Page 25: WSU Singapore Math Summer Institute Plenary Lecture 6

Reedley International School, Manila

Page 26: WSU Singapore Math Summer Institute Plenary Lecture 6

Nury

Sue

3450

1286

2164

3450 – 1286 = 2164 ??

Check

Reedley International School, Manila

Page 27: WSU Singapore Math Summer Institute Plenary Lecture 6

Reedley International School, Manila

Math Journal

Page 28: WSU Singapore Math Summer Institute Plenary Lecture 6

use of journalingto differentiate instruction

Page 29: WSU Singapore Math Summer Institute Plenary Lecture 6

Ministry of Education, Singapore

Susan says that 12 + 3 is the same as 3+ 12Is she right?Why? You can write or draw to show me.

Page 30: WSU Singapore Math Summer Institute Plenary Lecture 6

Pathlight School, Singapore

Page 31: WSU Singapore Math Summer Institute Plenary Lecture 6

Pathlight School, Singapore

Page 32: WSU Singapore Math Summer Institute Plenary Lecture 6

Pathlight School, Singapore

Page 33: WSU Singapore Math Summer Institute Plenary Lecture 6

Pathlight School, Singapore

Page 34: WSU Singapore Math Summer Institute Plenary Lecture 6

Pathlight School, Singapore

Page 35: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 36: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 37: WSU Singapore Math Summer Institute Plenary Lecture 6

Student A

Student B

4770+3250$8120

Reedley International School, Manila

Page 38: WSU Singapore Math Summer Institute Plenary Lecture 6

Student C

Student D

4770-3250 1520

1520+3250 4770

Reedley International School, Manila

Page 39: WSU Singapore Math Summer Institute Plenary Lecture 6

evaluate other’s solutions critical thinking

Page 40: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 41: WSU Singapore Math Summer Institute Plenary Lecture 6

Lesson 2 June 18, 2012

Jack

Kyla

had

$2

more

than

Jack

Kyla

gave

$3

Page 42: WSU Singapore Math Summer Institute Plenary Lecture 6

problem posingdefining ill-defined problems

Page 43: WSU Singapore Math Summer Institute Plenary Lecture 6

Lesson 2 June 18, 2012

Open Lesson at Hawaii, USA

Page 44: WSU Singapore Math Summer Institute Plenary Lecture 6
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Assumption English School, Singapore

Page 47: WSU Singapore Math Summer Institute Plenary Lecture 6

Assumption English School, Singapore

Page 48: WSU Singapore Math Summer Institute Plenary Lecture 6
Page 49: WSU Singapore Math Summer Institute Plenary Lecture 6

Plenary Lecture 6 Yeap Ban HarStrategies for Advanced Learners www.banhar.blogspot.comDifferentiating Instruction Using Singapore Math