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Table 5 Categories in task-1

From: A framework of generating explanation for conceptual understanding based on “semantics of constraints”

 

Number of subjects using category labels (N 1 = 15)

Average size of category (N 2 = 15)

Number of problems accounted for (N = N 1 × N 2 = 225)

Number of problems wrongly accounted for (N* = 225)

Number of problems correctly accounted for (N C = N − N*)

Springs

12

3.1

37

2

35

Free fall, etc.

9

4.1

37

2

35

Collision

12

2.0

24

0

24

Circular motion

12

1.9

23

1

22

Acceleration

3

5.7

17

1

16

Strings

7

2.0

14

0

14

Inclined planes

5

2.2

11

0

11

Balance

5

2.4

12

4

8

Object only

1

5.0

5

0

5

Friction

3

1.7

5

0

5

Second law

2

2.5

5

2

3

Pulleys

1

2.0

2

0

2

Balance of energies

1

4.0

4

2

2

Motion of weight

1

2.0

2

0

2

Energy of falling object

1

3.0

3

2

1

Linear uniform motion

1

1.0

1

0

1

Simple harmonic motion

1

1.0

1

0

1

Terminal velocity

1

1.0

1

0

1

Internal force

1

5.0

5

5

0

Others

1

15

15

2

13