Fuzzy Logic in Student Modeling - Advances in Personalized Web-Based Education - page 57

Table 2.9 Kate's progress
Domain concepts Learner's knowledge

Interaction I ( μ Un , μ MKn ,
μ Kn , μ L , μ A )

Interaction II ( μ Un , μ MKn ,
μ Kn , μ L , μ A )

1.1 Constants and variables (0, 0, 0, 0, 1) (0, 0, 0, 0, 1)

(0, 0, 0, 0, 1) (0, 0, 0, 0, 1)

1.2 Assignment statement

(0, 0, 0, 0.02, 0.098) (0, 0, 0, 0.02, 0.098)

1.3 Arithmetic operators

1.4 Comparative operators (0, 0, 0, 0, 1) (0, 0, 0, 0, 1)

(0, 0, 0, 0, 1) (0, 0, 0, 0, 1)

1.5 Logical operators

1.6. Mathematic functions (0, 0, 0, 0.12, 0.88) (0, 0, 0, 0.12, 0.88)

1.7 Input-output statements (0, 0, 0, 0, 1) (0, 0, 0, 0, 1)

(0, 0, 0, 0, 1) (0, 0, 0, 0, 1)

2.1 A simple program's
structure

3.1 If statement (0, 0, 0, 0.3, 0.7) (0, 0, 0, 0.3, 0.7)

(0, 0, 0, 0.4, 0.6) (0, 0, 0, 0.4, 0.6)

3.2 If…else if

(0, 0, 0, 0.1, 0.9) (0, 0, 0, 0.1, 0.9)

3.2.1 Finding max, min

3.3 Nested if statement (0, 0, 0, 0.4, 0.6) (0, 0, 0, 0.4, 0.6)

(0, 0, 0, 0.73, 0.27) (0, 0, 0, 0.73, 0.27)

4.1 For statement

(1, 0, 0, 0, 0) (0, 0, 0, 0.8, 0.2)

4.2 Calc. sum in a for loop

4.3 Counting in a for loop (1, 0, 0, 0, 0) (0.55, 0, 0, 0.36, 0.09)

(1, 0, 0, 0, 0) (0.19, 0, 0, 0.648, 0.162)

4.4 Calc. avrg in a for loop

(0, 0, 0, 0.67, 0.33) (0, 0, 0, 0.67, 0.33)

4.5 Calc. max/min in a for
loop

5.1 While statement (1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

(1, 0, 0, 0, 0) (0, 0, 0, 0.8, 0.2)

5.2 Calc. sum in a while loop

(1, 0, 0, 0, 0) (0.55, 0, 0, 0.36, 0.09)

5.3 Counting in a while loop

5.4 Calc. avrg in a while loop (1, 0, 0, 0, 0) (0.61, 0, 0, 0.312, 0.078)

(0, 0, 0, 0.67, 0.33) (0, 0, 0, 0.67, 0.33)

5.5 Calc. max/min in a while
loop

(1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

5.6 Do…until

6.1 One-dimension arrays (1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

(1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

6.2 Searching

(1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

6.3 Sorting

6.4 Two-dimensions arrays (1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

(1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

6.5 Processing per rows

(1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

6.6 Processing per column

6.7 Processing of diagonals (1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

(1, 0, 0, 0, 0) (1, 0, 0, 0, 0)

7.1 Functions

and 20 % 'Assimilated', KL(C 5.3 ) becomes 36 % 'Learned' and 9 % 'Assimilated'
(the rest 55 % of the particular concept remains 'Unknown') and KL(C 5.4 )
becomes 31.2 % 'Learned' and 7.8 % 'Assimilated' (the rest 61 % of the particular
concept remains 'Unknown') (Interaction II of Table 3.3 ). Therefore, the increase
of Kate's knowledge level on C 4.2 improves automatically her knowledge level