Question 7: 1/2 □ 1/4

Pre-service teachers

N = 71

Teachers N = 149

Justification

%

N

%

N

Correctly answered

Pre-service teachers

68

Teachers

120

None given.

19.7

14

49.7

74

The sequence of numbers.

18.3

13

2.7

4

A quarter plus a quarter equals half.

11.3

8

2.0

3

Because half is greater than a quarter.

32.4

23

12.8

19

Based on number of items.

14.1

10

13.4

20

Incorrectly answered

Pre-service teachers

3

Teacher

29

None given.

0

0

14.1

21

The ¼ is larger according to the picture but ½ is larger according to quantity.

4.2

3

0

0

Based on graphic property.

0

0

0.7

1

We never learned fractions.

0

0

4.7

7