id: 06503002
dt: a
an: 2015f.00191
au: Kloosterman, Peter; Walcott, Crystal; Brown, Nathaniel J. S.; Mohr, Doris;
Pérez, Arnulfo; Dai, Shenghi; Roach, Michael; Hall, Linda Dager;
Huang, Hsueh-Chen
ti: Using NAEP to analyze eighth-grade students’ ability to reason
algebraically.
so: Middleton, James A. (ed.) et al., Large-scale studies in mathematics
education. Cham: Springer (ISBN 978-3-319-07715-4/hbk;
978-3-319-07716-1/ebook). Research in Mathematics Education, 179-207
(2015).
py: 2015
pu: Cham: Springer
la: EN
cc: C43 E53 H23 H33 D63 D20
ut: algebra; common core state standards; item level analysis; item response
theory; NAEP; reasoning
ci:
li: doi:10.1007/978-3-319-07716-1_9
ab: Summary: After describing the content and scoring of NAEP mathematics
assessments, this chapter focuses on performance on individual NAEP
items as a means for documenting the algebraic reasoning skills of
eighth-grade students. In general, performance on algebraic reasoning
is similar to performance on the grade 8 mathematics NAEP in recent
years ‒ performance was stable on the majority of items and increased
modestly in the remainder. Many eighth graders can understand and
explain relationships between two variables in different settings and
formats. Many are also able to plot points but few are able to use
slope and intercept or determine which points to plot to connect an
equation and a graph. When it comes to solving word problems involving
linear relationships, it appears that many students employ intuitive
strategies such as guess and check although some are able to use formal
algebraic methods. Logistical and methodological issues that arise when
using NAEP data are also addressed. These issues include adjusting
analyses to account for the sampling method used by NAEP and
limitations in statistical power when working with subsets of the NAEP
data. The chapter closes with examples of the types of statistical
techniques we are using to determine whether clusters of items
developed by analysis of item content are valid from a measurement
perspective.
rv: