Fractions, decimals and

percentages 6.11.2014

What does the National

Curriculum say?

Visualisation in Mathematics- FDP

1

32

4

1

3 6

10

15 21

A B

C

D

E

A memorable picture?

Fractions, Decimals and Percentage

• In small groups come up with a statement

defining visualisation in simple terms

A Powerful Force

‘Imagery is a powerful force for perception and

understanding. Being able to “see” something mentally is

a common metaphor for understanding it. An image may

be of some geometrical shape, or of a graph or diagram,

or it may be some set of symbols or some procedure.’

Open University

What’s your current practise?

Activity

Answers

Numbers –

Eight, five, four, nine, one, seven, six, ten, three, two

Months –

April, August, December, February, January, July, June, March, May, November, October, September

Using a counting stick to Visualise…

https://www.ncetm.org.uk/resources/43609

Fractions of shapes challenges . . .

The Two-Jars Puzzle

Given a 5-litre and a

3-litre jar and an unlimited

supply of water, how

do you measure out 4 litres

exactly?

Building a picture of equivalence

1 2 3

4

2/4, 1/4, 3/1 . . . .. ………

Introducing decimals

through

Gattegeno charts. . .http://www.numbergym.co.uk/hosting/NGS/NG_GatChartExpl.html

http://www.taw.org.uk/lic/itp/dec_num_line.html

Number lines

Introducing percentages. . .

Would you rather…

½ of £750

10% of £3000

1/8 of £800

3/10 of £2700

http://uk.pinterest.com/cece09/fractions-decimals-

percents/

Resources

NNS Shape and Space booklet

•Beam – ‘Eyes closed’

•Nunes (2006) Fractions: Difficult but crucial in

mathematics learning

•Anita Straker – ‘Talking Points in Mathematics’

•Maths Trails - Visualisation

•Talk for maths – mind’s eye

•Open University – Learning Space – ‘Using

Visualisation in Mathematics Teaching’

http://uk.pinterest.com/cece09/fractions-decimals-

percents/