Plenary Lecture 6 Yeap Ban HarStrategies for Advanced Learners www.banhar.blogspot.comDifferentiating Instruction Using Singapore Math
My Pals Are Here! Maths (Second Edition)
F R A CT I O N the C P Aapproach
Singapore Math Institute, Hawaii
1 fourth
4 eighteenths
+ 8 36
9 36
Primary School Leaving ExaminationSingapore Examination and Assessment Board
Initial Concrete
Experience
Subsequent Pictorial
Representation
Eventual Symbolic
Representation
My Pals Are Here! Maths (Second Edition)
St Edward’s School, Florida
Eventual Symbolic
Representation
My Pals Are Here! Maths (Second Edition)
St Edward’s School, Florida
St Edward’s School, Florida
Grade 2concrete pictorial abstract
Primary Mathematics (U.S. Edition)
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)
extend the problemto increase level of thinking
The more advanced learners get to learn skills that they are not yet good at e.g. articulation of ideas.
Globe Academy, London
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
deepen students’ thinkingpractice process
skills
12 + 34 = 46
What do you notice?
get them to generalizewhile the rest consolidate
Reedley International School, Manila
Reedley International School, Manila
Nury
Sue
3450
1286
2164
3450 – 1286 = 2164 ??
Check
Reedley International School, Manila
Reedley International School, Manila
Math Journal
use of journalingto differentiate instruction
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.
Pathlight School, Singapore
Pathlight School, Singapore
Pathlight School, Singapore
Pathlight School, Singapore
Pathlight School, Singapore
Student A
Student B
4770+3250$8120
Reedley International School, Manila
Student C
Student D
4770-3250 1520
1520+3250 4770
Reedley International School, Manila
evaluate other’s solutions critical thinking
Lesson 2 June 18, 2012
Jack
Kyla
had
$2
more
than
Jack
Kyla
gave
$3
problem posingdefining ill-defined problems
Lesson 2 June 18, 2012
Open Lesson at Hawaii, USA
Assumption English School, Singapore
Assumption English School, Singapore
Plenary Lecture 6 Yeap Ban HarStrategies for Advanced Learners www.banhar.blogspot.comDifferentiating Instruction Using Singapore Math
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