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NAEP Analysis and Scaling → Estimation of NAEP Score Scales → NAEP Scales → Scale Composition by Item Type for New and Trend Blocks → Mathematics Assessment Subscale Composition for New and Previously Administered Blocks at Grade 4

NAEP Technical DocumentationMathematics Assessment Subscale Composition for New and Previously Administered Blocks at Grade 4

Each mathematics assessment includes blocks of new items and blocks of items from previous assessments. For the new items and for the previously administered items in each mathematics scale, the number of multiple-choice, dichotomously scored constructed-response and polytomously scored constructed-response items are provided at grade 4. The item counts are available for each scale as defined in the final Item Response Theory (IRT) scales.

Subscale composition for new blocks as defined after scaling, grade 4 mathematics combined national and state main assessment, by item type: 2009
Subscale Multiple-choice items Dichotomously scored constructed-response items Polytomously scored constructed-response items
Scaled Dropped Scaled Dropped Polytomous uncollapsed Dichotomous collapsed Polytomous collapsed Dropped
NOTE: "Dropped" denotes items that were deleted from the final scaling. "Collapsed" denotes items that had categories that were combined and recoded for scaling. Some items were administered previously under different contexts.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
Total 30 0 2 0 15 0 0 0
Number sense, properties, and operations 9 0 2 0 7 0 0 0
Measurement 7 0 0 0 1 0 0 0
Geometry 5 0 0 0 2 0 0 0
Data analysis, statistics, and probability 5 0 0 0 1 0 0 0
Algebra 4 0 0 0 4 0 0 0

Subscale composition for previously administered blocks as defined after scaling, grade 4 mathematics combined national and state main assessment, by item type: 2009
Subscale Multiple-choice items Dichotomously scored constructed-response items Polytomously scored constructed-response items
Concurrent Split Dropped Concurrent Split Dropped Polytomous uncollapsed Dichotomous collapsed Polytomous collapsed Split Dropped
NOTE: "Concurrent" denotes items that were scaled as common items across assessment years. "Split" denotes items that were scaled as different items in each assessment year. "Dropped" denotes items that were deleted from the final scaling. "Collapsed" denotes items that had categories that were combined and recoded for scaling.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
Total 78 0 0 10 0 0 20 1 3 0 0
Number sense, properties and operations 29 0 0 4 0 0 8 0 1 0 0
Measurement 19 0 0 1 0 0 4 0 0 0 0
Geometry 12 0 0 0 0 0 5 1 0 0 0
Data analysis, statistics, and probability 9 0 0 2 0 0 1 0 1 0 0
Algebra 9 0 0 3 0 0 2 0 1 0 0

Block composition, grade 4 mathematics combined national and state assessment, by item type and block: 2009
Block Total number of items Number of multiple-choice items
Number of polytomously-scored constructed-response items
2-category 3-category 4-category 5-category
NOTE: For a small number of constructed-response items, adjacent categories were combined.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 Mathematics Assessment.
Total 159 108 12 31 2 6
M3 15 10 1 3 0 1
M4 15 11 1 3 0 0
M5 15 7 2 5 1 0
M6 16 13 1 2 0 0
M7 15 9 2 3 1 0
M8 19 13 2 3 0 1
M9 16 11 0 4 0 1
M10 16 12 2 1 0 1
M11 16 10 0 5 0 1
M12 16 12 1 2 0 1

Last updated 07 January 2016 (GF)