# STATEMENT ON THE NATION'S REPORT CARD:

*2011 NAEP Mathematics and Reading*

## Jack Buckley »Read Bio

### Commissioner

National Center for Education Statistics

Today I am releasing the results of the 2011 reading and mathematics assessments from the National Assessment of Educational Progress—the Nation's Report Card. This assessment was given earlier this year to fourth- and eighth-grade students across the country. Today's results are for the nation and the states. We also assessed reading and mathematics in 21 large urban districts around the country and those results will be released soon. In addition, we assessed writing at grades 8 and 12 in 2011 and science at grade 8 and will have the results from those assessments in 2012.

The reading and mathematics assessments were administered in early 2011. We had very large samples for the two assessments, with a total of about 422,000 fourth-graders and 343,000 eighth-graders.

We have results for the nation for both public and private school students. At the state level, we have public school results only, for all 50 states, along with the District of Columbia and the Department of Defense school system, which are treated as states for comparison purposes.

We report student performance in two ways: scale scores and achievement levels.

NAEP scale scores indicate what students know and can do, and are reported on a scale ranging from zero to five hundred for mathematics and reading.

Achievement levels were developed by the National Assessment Governing Board. They set standards for what students should know and be able to do. For each subject and for each grade, the Governing Board has established standards for Basic, Proficient, and Advanced performance. Ultimately, the goal is to have all students performing at or above the Proficient level.

When comparing scores and other NAEP results we only discuss differences that are statistically significant. For the most part, we will compare students' performance in 2011 with scores from the last assessment in 2009, and the earliest assessment, whose date can vary by assessment. according to both assessment and grade.

**Demographics**

In addition to scores, the reports also have information regarding how much the demographic distributions of students have changed since 1990, when the first in the current series of NAEP mathematics assessments was administered. White students constituted 75 percent of grade 4 students in 1990. Twenty-one years later, they constitute 54 percent of the whole. The percentage of Black students has declined as well, though not nearly as much, while the percentages of Hispanic and Asian students have increased dramatically. America's student population looks very different today than it did 21 years ago.

More recently, there has been another demographic change—an increase in the percentage of grade 4 students coming from lower-income families, as measured by eligibility for free or reduced-price school lunches under the National School Lunch Program. Since 2003, the eligible percentage has grown from 40 to 49 percent. For grade 8, the changes are similar. Mathematics

**Mathematics**

Students were assessed in five mathematical content areas: number properties and operations; measurement; geometry; data analysis, statistics and probability; and algebra. These content areas were established by the NAEP Mathematics Framework developed by the National Assessment Governing Board. We have separate scores for each content area, which we combine to create an overall mathematics score.

The grade 4 assessment included a greater proportion of questions in the Number Properties and Measurement content areas, while at grade 8 there was more emphasis on other areas, Algebra in particular. This reflects the general pattern of instruction at the two grades.

**Grade 4 Results**

**Grade 4 Results**

At grade 4, the average score of 241 was the highest to date. Scores have risen 28 points since 1990, and 1 point since 2009.

Student performance by percentile shows us the improvement of scores over time for lower-, middle-, and higher-performing students. Scores have increased since 1990 for students at the five percentiles that represent these levels of performance: 10th, 25th, 50th, 75th, and 90th percentiles. Since 2009, scores increased for all students except those at the10th percentile.

In terms of the three achievement levels, percentages of students who performed at or above Proficient and at Advanced were higher in 2011 than in any previous assessment. Percentages at or above Basic were higher than in 1990, but not higher than in 2009.

Beginning in 2011, NAEP is using a revised list of categories for race/ethnicity, developed for the federal government by the Office of Management and Budget. The old "Asian/Pacific Islander" category is being split into two categories: "Asian" and "Native Hawaiian/Other Pacific Islander." We will continue to use the old category when making comparisons to assessments prior to 2011. In addition, a new category, "Two or more races," includes students who were previously described as "Unclassified."

Asian students account for about 5 percent of the total fourth-grade student population, while Native Hawaiian/Other Pacific Islander students constitute less than a half a percent. Students of two or more races constitute about 2 percent of all fourth-graders.

The average score for Asian fourth-graders—257—was higher than the score for any other group in 2011.

**--Score Gaps**

In 2011, both White and Black students at grade 4 had the highest scores to date. The 25-point gap between these groups in 2011 was narrower than the 32-point gap in 1990, but not significantly different from the 26-point gap in 2009.

In 2011, the score for Hispanic fourth-graders was also higher than in any previous mathematics assessment. The 20-point gap for 2011 was not significantly different from the 20-point gap in 1990 or the 21-point gap in 2009.

The full report has complete gap information for both grades and subjects.

**--State Performance, 2009-2011**

Several states' scores changed from 2009 to 2011. Fourth graders in nine states had higher mathematics scores than in 2009—Rhode Island, Maryland, the District of Columbia, Alabama, Georgia, New Mexico, Arizona, Wyoming, and Hawaii. Average scores declined in one state, New York. In the remaining 42 states, scores were not significantly different from 2009.

**Grade 8 Results**

**Grade 8 Results**

At grade 8, the average score of 284 was the highest to date. Scores have risen 21 points since 1990, and 1 point since 2009.

Looking at student performance by percentile, we see that scores have increased since 1990 for students at all five percentiles. Since 2009, scores increased for students at the 25th and 50th percentiles.

Percentages of students who performed at or above Proficient were higher in 2011 than in any previous assessment year, rising from 15 percent in 1990 to 35 percent in 2011. Percentages at or above Basic and at Advanced were higher than in 1990, but not significantly different from 2009.

**--Score Gaps**

In 2011, the score for Hispanic eighth-graders was higher than in any previous mathematics assessment. The 23-point gap for 2011 was not significantly different from the 24-point gap in 1990, but it was narrower than the 26-point gap in 2009. There was no significant change in the White-Black score gap. There was a 1-point male-female gap in 2011, in favor of male students. Scores for both male and female students were higher in 2011 than in 1990, but only female students showed an increase over 2009.

**--State Performance, 2009-2011**

In 2011, eighth-graders in 13 states had higher mathematics scores than in 2009. In Rhode Island, the District of Columbia, New Mexico, and Hawaii, scores were also higher at grade 4. Average scores declined in Missouri. In the remaining 38 states and jurisdictions, scores were not significantly different than in 2009.

**--Coursetaking**

We asked eighth-grade students taking the NAEP mathematics assessment to name the mathematics course they are currently taking. In 2011, 34 percent of students reported taking an algebra 1 course, while 23 percent reported they took introduction to algebra or pre-algebra, and 25 percent said they took basic or general eighth-grade math. The average score of those who took algebra 1 was 25 points higher than the score of those who said they were taking basic or general eighth-grade math.

When comparing mathematics coursetaking according to race/ethnicity, 45 percent of Asian students said they were taking algebra 1, compared to 13 percent who said they were taking basic math. In contrast, about the same percentages of Black students said they were taking algebra 1 and basic math, and the same was true for Hispanic students.

**Reading**

In the 2011 reading assessment, students were asked to read both literary and informational texts. The two types were given equal weight at grade 4, while at grade 8 the balance was shifted in favor of informational texts.

Students answered questions based on these texts that reflected three distinct reading processes—the kinds of thinking that underlie reading comprehension. After reading each passage, students were asked to locate and recall, to integrate and interpret, or to critique and evaluate. At grade 4, locate and recall received more emphasis than critique and evaluate, while at grade 8 the reverse was true.

**Grade 4 Results**

**Grade 4 Results**

Grade 4 Results At grade 4, the average score of 221 was no higher than in 2009 but 4 points higher than in 1992.

The results for student performance by percentile show no increase since 2009 for any of the five percentiles. Scores have increased since 1992 for all five percentiles.

Achievement level results show the same pattern as scale scores—no increases since 2009 for any group, but increases since the first assessment year for all groups. The percentage at Advanced has risen by 2 percentage points since 1992, by 5 points for those at or above Proficient and also by 5 points for those at or above Basic.

**--Score Gaps**

In 1992, White students scored 8 points higher than Asian/Pacific Islander students. In 2011, Asian/Pacific Islander students scored 4 points higher than White students, reversing the gap.

In 2011, scores for students eligible for free lunches, eligible for reduced-price lunches, and not eligible for the National School Lunch Program were all higher than in any previous year, going back to 2003. Average scores for all three groups were higher in 2011 than in 2009 as well, even though the overall grade 4 score for this period did not change. This is because a higher percentage of students were in the lower-performing eligible groups in 2011 than in 2009, and although the scores for these students increased, they were too low to allow the overall average score to increase.