F R A CT I O N in singapore
m a t hDr Yeap Ban Har
Marshall Cavendish Institute Singapore
[email protected] are available at
www.banhar.blogspot.comHawa
i’i
Marshall Cavendish Institute www.mcinstitute.com.sg
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More information at
F R A CT I O N in singapore
m a t h
Slides are available at
www.banhar.blogspot.com
MAP202 TEACHING OF FRACTIONS
Singapore Ministry of Education 2006
“Mathematics is an excellent vehicle for the development
and improvement of a person’s intellectual competencies”
Fuchun Primary School, Singapore Keys Grade School, The Philippines
King Solomon Academy, London
Archipel-basisschool Tweemaster-
Kameleon,The Netherlands
F R A CT I O N in singapore
m a t h
Slides are available at
www.banhar.blogspot.comHawa
i’i
MAP202 TEACHING OF FRACTIONS
equal parts
F R A CT I O N the C P Aapproach
My Pals Are Here! Mathematics (Second Edition)
When 1 is divided into equal parts, we can name the parts and count the number of parts. 3 fifths, 3
sevenths, 3 tenths – a ll can be dealt with the same way we deal with 3.
F R A CT I O N mathematical
variability
F R A CT I O N conceptualapproach
F R A CT I O N teaching for
meaning3 fourths 3
4
Initial Concrete
Experience
Subsequent Pictorial
RepresentationMy Pals Are Here! Mathematics (Second Edition)
St Edward School, Florida
Eventual Symbolic
Representation
My Pals Are Here! Mathematics (Second Edition)
St Edward’s School, Florida
St Edward’s School, Florida
Grade 2concrete pictorial abstract
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
F R A CT I O N the C P Aapproach
F R A CT I O N the C P Aapproach
One participant explained it this way – from previous examples, we know that the triangles are all equal parts and they are in fact 1 fourth each. Thus, the green ‘arrow’ must be one fourth too! What do you think about your friend’s explanation?
Singapore Examination & Assessment BoardPrimary School Leaving Examination
1 fourth
4 eighteenths
+ 8 36
9 36
17 36
=
F R A CT I O N in singapore
m a t h
Slides are available at
www.banhar.blogspot.comHawa
i’i
MAP202 TEACHING OF FRACTIONS
relevant ideas from whole
numbers
counting same units
Earlybird Kindergarten Mathematics
adding same units
1
tens ones
1 3renaming
1
1
1
1
1
renaming
adding same units
F R A CT I O N in singapore
m a t h
Slides are available at
www.banhar.blogspot.comHawa
i’i
MAP202 TEACHING OF FRACTIONS
add and subtract
F R A CT I O N spiralapproach
3 fourths3 pieces3 pencils
3 fifths + 1 fifth
3 fifths + 1 tenth
3 fifths + 9 tenths
3 fifths + 1 half
Primary 2
Primary 3
Primary 4
Primary 5
My Pals Are Here! Mathematics (Second Edition)
1
3 fifths + 1 fifth
Grade 2
My Pals Are Here! Mathematics (Second Edition)
11 half + 1 fourth
Grade 3
My Pals Are Here! Mathematics (Second Edition)
1
3 fifths + 4 fifths
Grade 4
My Pals Are Here! Mathematics (Second Edition)
11 half + 4 fifths
Grade 5
F R A CT I O N systematicvariation
3 fifths + 1 fifth
1 half + 1 fourth
3 fifths + 4 fifths
1 half + 4 fifths
F R A CT I O N spiralapproach
3 fifths - 1 fifth
3 fifths - 1 tenth
3 fifths - 3 tenths4 fifths - 1 half
Primary 2
Primary 3
Primary 4Primary 5
8 fifths - 1 tenthPrimary 4
F R A CT I O N number
sense
2
11
5
13
2
11
5
13
5
11
5
13
10
11
5
13
2
11
5
13
10
15
10
32
2
11
5
13
2
11
5
13
2
11
5
13
10
51
10
122
COMPARING FRACTIONS
Developing Number Sense• Choose numbers to
encourage thinking, not brute computation
• Use mental strategies• Always also for alternate
methods in doing computations to make students dig deep into their cognitive resources.
EQUIVALENT FRACTIONS