Teachers Talking About Teaching Mathematics

Led by Susan WallRegional Coordinator Yorkshire & Humber NCETM

NCETM small grant project – Maths Collaboration Project (KS2/3)

East Hull Mathem

atics Collabor

ation Project

Wilberforce Sixth Form College

Andrew Marvell Business and

Enterprise College

Thanet Primary School

Spring Cottage Primary SchoolSimon Dav

e

Joanne, Layton, Gillian

Susan, Teresa

What is the same and what is different?

This polygon is regular.

This polygon has exactly one obtuse

angle.

The diagonals of this polygon

are perpendicular.

This polygon has at least one pair of

parallel sides.

This is a trapezium.

This polygon has exactly 2

lines of symmetry.

These lines are perpendicular.

This shape has a diagonal.

This shape does not have a diagonal.

This is an angle.

This is not a proper angle.

This is a regular.

This is not regular.

For 1/5 they colour 5 in.

They think that 1/2 and 2/1 are the same.

Saying double top and bottom for equivalent fractions is confusing because they associate doubling as getting bigger.

What is a fraction?

What do students understand by a fraction?

What are the essentials in order to understand fractions?

8 out of 27 year 4/5 children thought the shaded area was one half of the shape.

15 out of 27 year 4/5 children thought the shaded area was one quarter of the shape.

7 out of 27 year 4/5 children thought this was true.

1

2

2

1

3 out of 12 year 12 students thought this was true.

13 out of 27 year 4/5 children thought this was true.

4 out of 12 year 12 students thought this was true.

3

12

1 is bigger than

13 out of 27 year 4/5 children answered NO.

4 out of 12 year 12 students answered NO.

3

1

2

1

4

1

6

15

1

8

1

7

1

are all fractions. Do you know any more?If so then write them down :

‘Growth last quarter was 3.1%. It was actually a four month quarter.’

Justin King

Chief Executive of Sainsbury’s

Radio 4

10th October 2007

2

2

6sisin

xn

x

23

6

3

6

3

6

x

x

x

x

56

56

6

56

6322

64

)2)(1()2)(1( 2

32

xxx

xx