mci - worchester state university singapore math institute plenary lecture 3
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Day 3
Day 3 Program
Pedagogy StrandHelping the Average and Low- Achieving Students Learn Mathematics
Content StrandFractions
Classroom Sessions 1Fractions
Classroom Sessions 2Mental Strategies / Bar Model
Institute Closes
PLENARY LECTURE 3 YEAP BAN HAR
Helping The Average and Low-Achieving LearnersLEARN MATHEMATICS
Slides are available at www.banhar.blogspot.com
and Marshall Cavendish Institute’s Facebook
“Un plan de estudios de la manera que se desarrolla debe revisar estas ideas básicas en varias ocasiones, construyéndose sobre ellos hasta que el estudiante ha comprendido todo el aparato formal que conllevan”. (Bruner 1960 en El Proceso de la Educación).
.
“A curriculum as it develops should revisit this basic ideas repeatedly, building upon them until the student has grasped the full formal apparatus that goes with them.” (Bruner 1960 in The Process of Education).
Advanced
Intermediate
Low
High
Gra
de 4
19
95
38
70
89
96
TIMSSTrends in International Mathematics and Science Studies
Gra
de 8
19
9942
77
94
99
Gra
de 4
20
03
Gra
de 8
20
07
38
73
91
97
40
70
88
97Balestier Hill Primary School, Singapore
Advanced
Intermediate
Low
High
Ind
onesi
a
Th
aila
nd
2 30
15 124
46 4414
75 6648
Grade 8
Sembawang Secondary School, Singapore
TIMSS 2007Trends in International Mathematics and Science Studies
Mala
ysi
a
Sin
gapor
e
402
7018
8850
9782
Inte
rnati
onal
Advanced
Intermediate
Low
High
US
A
MA
5 2210
26 6340
67 9277
90 9997
Grade 4
TIMSS 2007Trends in International Mathematics and Science Studies
MN
18
55
85
97
Inte
rnati
onal
Sin
gapor
e
41
72
92
98St Edwards School, Florida, USA
Advanced
Intermediate
Low
High
US
A
MA
2 166
15 5231
46 8267
75 9592
Grade 8
TIMSS 2007Trends in International Mathematics and Science Studies
MN
8
41
81
97
Inte
rnati
onal
Sin
gapor
e
40
70
88
97
Advanced
Intermediate
Low
High
US
A
MA
2 2210
15 6340
46 9277
75 9997
Grade 4
TIMSS 2007Trends in International Mathematics and Science Studies
MN
18
55
85
97
Inte
rnati
onal
Sin
gapor
e
40
70
88
97St Edwards School, Florida, USA
Advanced
Intermediate
Low
High
US
A
MA
2 2210
15 6340
46 9277
75 9997
Grade 4
TIMSS 2007Trends in International Mathematics and Science Studies
MN
18
55
85
97
Inte
rnati
onal
Sin
gapor
e
40
70
88
97St Edwards School, Florida, USA
At Entry Point
Globe Academy, London, UK
Building Confidence
Globe Academy, London, UKBuilding Students’ Capacity to LearnConcrete Materials Independence
Globe Academy, London, UK
Globe Academy, London, UKBuilding Teachers’ Capacity to ObserveObservation Conversation
Learning Support Program in Singapore
Princess Elizabeth School, Singapore
At Intermediate Point
Globe Academy, London, UK
Globe Academy, London, UK
Concrete, Visual Approach
88
11 units = 88
1 unit = 88 ÷ 11 = 8
6 units = 6 x 8 = 48
5 units = 5 x 8 = 40
The two numbers are 40 and 48.
King Solomon Academy, London, UK
Foundation MathematicsProgram in Singapore
Pathlight School, Singapore
Pathlight School, SingaporeHigh Expectations
Bukit View Primary School, Singapore
Pathlight School, Singapore
Pathlight School, Singapore
Pathlight School, Singapore
The Importance of Concrete, Visual Approach.
In this lesson study, the construction of model was done in a concrete manner but the calculation was not.
Observe the effects on students who were not entirely successful.
From a Classroom Learning Session
Pears and apples costs the same.The total cost of 2 apples and 5 pears is $5.60.Find the cost of each fruit.
Cost of pears
Cost of apples
$5.60
From a Classroom Learning Session
A pear costs twice as much as an apple.The total cost of 2 apples and 5 pears is $7.20.Find the cost of each fruit.
Cost of pears
Cost of apples
$7.20
From a Classroom Learning Session
2 pears cost as much as 3 apples.The total cost of 2 apples and 5 pears is $5.70.Find the cost of each fruit.
Cost of pears
Cost of apples
$5.70
From a Classroom Learning Session
2 pears cost as much as 3 apples.The total cost of 2 apples and 5 pears is $5.70.Find the cost of each fruit.
Cost of pears
Cost of apples
$5.70
19 units = $5.70
1 unit = $5.70 ÷ 19 = $0.3 An apple costs 60 cents and a pear cost 90 cents.
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