9
|
NATIONAL ASSESSMENT GOVERNING BOARD
multiple unspecifed operations. Students might be
asked to show or explain their work, but are not
expected to justify it mathematically.
Sample Question:
9. Lines
a
and
b
are parallel to each other.
Line
c
is perpendicular to these lines.
Jan correctly draws lines
a, b,
and
c
.
Which of these could be Jan’s drawing?
A.
B.
C.
D.
a
b
c
a
b
c
a b
c
c
a
b
High-complexity questions
make heavy demands
on students to use reasoning, planning, analysis,
judgment, and creative thought. Students may need
to justify mathematical statements, construct a
mathematical argument, or generalize from specifc
examples. Questions at this level take more time than
those at other levels due to the demands of the task
rather than the number of parts or steps.
Sample Question:
Question Formats
The careful selection of questions is central to
the development of the NAEP Mathematics
Assessment. Since 1992, the assessment has used
three formats or question types: multiple choice,
short constructed response, and extended constructed
response. Testing time on NAEP is divided evenly
between multiple-choice questions and both types
of constructed-response questions, as shown on
the next page.
12. Mr. Jones picked a number greater than 100.
He told Gloria to divide the number by 18.
He told Edward to divide the number by 15.
Whose answer is greater?
❍
Gloria’s
❍
Edward’s
Explain how you know this person’s answer
will always be greater for any number that
Mr. Jones picks.
The careful selection of questions is central to the
development of the NAEP Mathematics Assessment.