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 assessments, by item type and subscale: 2011

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), 2011 Mathematics Assessment.
Total	21	0	3	0	5	0	1	0
Number sense, properties, and operations	8	0	1	0	2	0	1	0
Measurement	4	0	0	0	2	0	0	0
Geometry	4	0	0	0	0	0	0	0
Data analysis, statistics, and probability	3	0	1	0	0	0	0	0
Algebra	2	0	1	0	1	0	0	0

Subscale composition for previously administered blocks as defined after scaling, grade 4 mathematics combined national and state assessments, by item type and subscale: 2011

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 the same 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), 2011 Mathematics Assessment.
Total	89	0	0	8	0	0	30	0	1	0	0
Number sense, properties and operations	32	0	0	4	0	0	13	0	0	0	0
Measurement	20	0	0	1	0	0	5	0	0	0	0
Geometry	14	0	0	0	0	0	5	0	0	0	0
Data analysis, statistics, and probability	12	0	0	1	0	0	2	0	1	0	0
Algebra	11	0	0	2	0	0	5	0	0	0	0

Block composition, grade 4 mathematics combined national and state assessments, by item type and block: 2011

Block	Total number of items	Number of multiple-choice items	Number of 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), 2011 Mathematics Assessment.
Total	158	110	9	32	1	6
M3	15	10	1	3	0	1
M4	15	11	1	3	0	0
M5	15	10	1	3	0	1
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	15	11	0	4	0	0
M11	16	10	0	5	0	1
M12	16	12	1	2	0	1

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