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What Mathematics Do Students Know and How is that Knowledge Changing? - Evidence from the National Assessment of Educational Progress (Paperback)
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What Mathematics Do Students Know and How is that Knowledge Changing? - Evidence from the National Assessment of Educational Progress (Paperback)
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This volume is intended for researchers, curriculum developers,
policy makers, and classroom teachers who want comprehensive
information on what students at grades 4, 8, and 12 (the grades
assessed by NAEP) can and cannot do in mathematics. After two
introductory chapters on the design of NAEP, the volume contains a
chapter on the challenges in analyzing NAEP data at the item level
followed by five chapters that report 2005 through 2013 student
performance on specific assessment items. These chapters are
organized by content area and then by topic (e.g., understanding of
place value, knowledge of transformations, ability to use metric
and U.S. systems of measurement) and thus provide baseline data on
the proportion of students who are able to complete the mathematics
tasks currently used in the upper elementary, middle, and
high?school mathematics curriculum. Additional chapters focus on
student reasoning, U.S. performance on international assessments,
and using construct analysis rather than percent correct on
clusters of items to understand student knowledge on specific
mathematics topics. Several themes emerge from the volume. One is
that while the rate of improvement in mathematics learning in
grades 4 and 8 has slowed in recent years, it has slowed more on
some topics than others. Another is that relatively minor changes
in wording can have significant effects on student performance and
thus it is difficult to be specific about what students can do
without knowing exactly what questions they were asked. A third
theme is that changes in performance over time can sometimes but
not always be understood in terms of what students are taught. For
example, there were substantial gains on several grade 4 items
requiring understanding of fractions and that is probably because
the amount of instruction on fractions in grades 3 and 4 has been
increasing. In contrast, while relatively few twelfth?grade
students have ever been good at factoring trinomials, performance
on this skill seems to be decreasing. This suggests that while more
students are completing advanced mathematics courses in high
school, these courses are not helping in the area of factoring
trinomials. Finally, there are limitations to using NAEP as a
measure of student performance on the Common Core State Standards.
To the extent that NAEP can be used, however, the NAEP data show a
substantial gap between expectations and performance.
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