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Table 7 Categories in task-2 (SOC)

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

 

Number of subjects using category labels (N 1 = 8)

Average size of category (N 2 = 15)

Number of problems accounted for (N = N 1 × N 2 = 120)

Number of problems wrongly accounted for (N* = 120)

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

Balance of forces

7

4.4

31

5

26

Second law

7

3.6

25

1

24

Conservation of energy

8

4.1

33

12

21

Linear accelerated motion

3

3.3

10

2

8

Conservation of momentum

3

1.3

4

1

3

Acceleration

1

3

3

0

3

Springs

1

3

3

0

3

Pulleys

1

3

3

0

3

Simple harmonic motion and period

2

1

2

0

2

String and tension

1

2

2

0

1

Time

1

2

2

0

2

Friction

1

1

1

0

1

Pendulum

1

1

1

0

1

Collision

2

1

1

0

1