MAP202 Teaching of Fractions 1 Hawai'i

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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si.mcinstitute.com.sg

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