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Calgary February 2018Experience the Singapore Method of Teaching Math
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Singapore has not always done well in education.
Since the 1990’s they have been at the top of International Education Studies in most subjects including mathematics.
Why Singapore?
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With an economy completely reliant upon the ability of its human resources, Singapore overhauled its Maths teaching system, drawing from best practice elsewhere in the world.
The UK’s Cockroft report and a similar study in the US had a fundamental influence. Both studies concluded that:
1. Problem solving is at the heart of Mathematics and should be the focus of what is taught in schools.
2. Basic skills in Mathematics should be defined to encompass more than computational facility.
Catalyst for change
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0
25
50
75
100
Advanced Learners High Learners Intermediate Learners
70
25
3
93
80
50
Singapore Alberta (2011)
TIMSS 2015 Grade 4
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0
25
50
75
100
Advanced Learners High Learners Intermediate Learners
69
24
3
94
81
54
Singapore Alberta (2011)
TIMSS 2015 Grade 8
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0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Singapore Alberta (2011)
TIMSS 2015 Grade 4
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The Anchor Taskteaching through a problem
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Make some rectangles
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carefully selected examplesappropriate learning experiences in the right order
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How many flowers are there are in total?
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Guided Practice
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Use the digits 1 - 9
+
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Understandingconventional, procedural and relational understanding
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Sharing a cake
Let us share a cake equally among some friends.
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Sharing a cake
How much cake does everyone get if we sharethree-quarters of a cake amongst 3 friends?
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Sharing a cake
How much cake does everyone get if we sharethree-quarters of a cake amongst 2 friends?
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Representationsspiral approach and careful scaffolding are used to develop
strong foundations
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Count.2
cups
pastries
children
eggs
slices of bread
apples
boys
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5
3 2
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Addition and Subtraction Page 81
Let’s Learn1
2
Use to show the number of pencils.
There are 8 pencils altogether.
5 + 3 = 8 or 3 + 5 = 8
Number of red pencils
Number of blue pencils
Total number of pencils
5 3
?
15 23
?
Draw bars to show each number.
How many pencils do they have altogether?
15 + 23 = 38
They have 38 pencils altogether.
has 15 pencils.
has 23 pencils.
1
T
2
3
+
O
3
8
5
There is not enough space to use !
mathsnoproblem.com
Addition and Subtraction Page 81
Let’s Learn1
2
Use to show the number of pencils.
There are 8 pencils altogether.
5 + 3 = 8 or 3 + 5 = 8
Number of red pencils
Number of blue pencils
Total number of pencils
5 3
?
15 23
?
Draw bars to show each number.
How many pencils do they have altogether?
15 + 23 = 38
They have 38 pencils altogether.
has 15 pencils.
has 23 pencils.
1
T
2
3
+
O
3
8
5
There is not enough space to use !
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There were 88 children at a school sports day. Boys and girls were asked to pair up for a three legged race. One third of the boys paired up with two fifths of the girls. The remainder of the children did not participate in the three legged race.
How many boys were at the school sports day?
How many girls participated in the three legged race?
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The Wise Guysnotable learning theories applied in the teaching of mathematics
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Enactive / Iconic / Symbolic
• Enactive ( concrete representations )
• Iconic ( pictorial representations )
• Symbolic ( abstract representations )
Jerome Bruner
48m ?
80m
8 9
7
7 4
2
2 3
6
+
11
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assimilation and accommodation
Jean Piaget
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Play / Structure / Practice
• Play ( informal )
• Structured learning ( formal )
• Practice
Zoltan Dienes
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mathematical and perceptual variation
Zoltan Dienes
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relational, procedural and conventional understanding
Richard Skemp
They don’t all look the same.
These are not quarters.
I disagree, I think these are quarters.
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1. Visualisation
2. Generalisation
3. Number Sense
4. Metacognition
5. Communication
Core competenciesThese are the 5 attributes that high performing pupils appear to posses
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Calgary February 2018Experience the Singapore Method of Teaching Math
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