Measuring student knowledge and skills

Sumatra
473 606
24.86
27 981
18.99
Kalimantan
539 460
28.32
6 721
4.56
(Borneo)
Sulawesi
189 216
9.93
10 377
7.04
(Celebes)
Bali
5 561
0.30
2 470
1.68
Irian Jaya
421 981
22.16
1 145
5.02
TOTAL
1 905 569
100.00
147 384
100.00
Figure 12.
Example item which requires a constructed response
Indonesia lies between Malaysia and Australia. Some data of the population of Indonesia and its distribution over
the islands is shown in the following table:
One of the main challenges for Indonesia is the uneven distribution of the population over the islands. From the
table we can see that Java, which has less than 7% of the total area, has almost 62% of the population.
Question:
Design a graph (or graphs) that shows the uneven distribution of the Indonesian population.
Source:
de Lange et Verhage (1992). Used with permission.
Surface area
Percentage
Population
Percentage of
Region
(km
2
)
of total area
in 1980 (millions)
total population
Java/Madura
132 187
6.95
91 281
61.87
Sumatra
473 606
24.86
27 981
18.99
Kalimantan
539 460
28.32
6 721
4.56
(Borneo)
Sulawesi
189 216
9.93
10 377
7.04
(Celebes)
Bali
5 561
0.30
2 470
1.68
Irian Jaya
421 981
22.16
1 145
5.02
TOTAL
1 905 569
100.00
147 384
100.00

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Mathematical Literacy
55
OECD 1999
Table 9 shows that the assessment is expected to contain:
– 15 items for each of the two big ideas;
– 21 score points for each of the two big ideas;
– 8 multiple-marker items and 22 single-marker items; and
– 12 score points in Competency Class 1, 20 score points in Competency Class 2, and 10 score points
in Competency Class 3.
Over the longer term OECD/PISA will give greater emphasis to Competency Classes 2 and 3 than is
the case in the first survey cycle, when testing time for mathematics will be very limited.
Table 9.
Recommended number of items and score points across big ideas and competency classes
Change and growth
Space and shape
Item type
Competencies
Competencies
Class 1
Class 2
Class 3
Class 1
Class 2
Class 3
One marker
6(6)
5(5)
6(6)
5(5)
Multiple markers
2(5)
2(5)
2(5)
2(5)
Note:
The numbers in parentheses are the expected number of score points.
(1)
(2)
(3)
Figure 13.
A task with several items
If a figure can be folded so that the two halves lie exactly on top of one another, the folding line is a line
of symmetry.
Question A
Which of the figures below have folding lines of symmetry?
Question B
Draw all the folding lines of symmetry on the square.
Question C
Which of the first eight capital letters of the alphabet have exactly two folding lines of symmetry?
Question D
John said: “I know a rule for being able to tell when a 4-sided figure has a folding line of symmetry. If the
triangles on each side of the line have the same size and shape, it has a folding line of symmetry.” Explain
why you either agree or disagree with John.
(1)
(2)
(3)
Figure 13.