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|NCES 2021009||Digest of Education Statistics, 2019
The 55th in a series of publications initiated in 1962, the Digest's purpose is to provide a compilation of statistical information covering the broad field of education from prekindergarten through graduate school. The Digest contains data on a variety of topics, including the number of schools and colleges, teachers, enrollments, and graduates, in addition to educational attainment, finances, and federal funds for education, libraries, and international comparisons.
|NCES 2021021||TIMSS 2019 U.S. Highlights Web Report
The Trends in International Mathematics and Science Study (TIMSS) 2019 is the seventh administration of this international comparative study since 1995, when it was first administered. TIMSS is administered every 4 years and is used to compare the mathematics and science knowledge and skills of 4th and 8th-graders over time. TIMSS is designed to align broadly with mathematics and science curricula in the participating countries. The results, therefore, suggest the degree to which students have learned mathematics and science concepts and skills likely to have been taught in school. In 2019, there were 64 education systems that participated in TIMSS at the 4th grade and 46 education systems at the 8th grade.
The focus of this web report is on the mathematics and science achievement of U.S. students relative to their peers in other education systems in 2019. Changes in achievement over the last 24 years, focusing on changes since 2015 and 1995, are also presented for the U.S. and several participating education systems. In addition, this report describes achievement gaps within the United States and other education systems between top and bottom performers, as well as among different student subgroups.
In addition to numerical scale results, TIMSS also reports the percentage of students reaching international benchmarks. The TIMSS international benchmarks provide a way to understand what students know and can do in a concrete way, as each level is associated with specific types of knowledge and skills.
|NCES 2020090||2019 NAEP Mathematics and Reading Assessments: Highlighted Results at Grade 12 for the Nation
These online Highlights present overviews of grade 12 results from the NAEP 2019 mathematics report and the 2019 reading report. Highlighted results include key findings at the national level only. Results are presented in terms of average scale scores and percentages of students performing at the three NAEP achievement levels: NAEP Basic, NAEP Proficient, and NAEP Advanced. Highlighted results include performance data for demographic student groups, five selected percentiles, and NAEP survey questionnaires.
The 2019 average score was lower for reading and not significantly different for mathematics compared to average scores for these subjects in 2015. Over the long term, the national average score for reading was lower compared to the first assessment year (1992), whereas over the long term, the 2019 mathematics score was not significantly different from the score in 2005.
Highlighted results include responses of students and schools to survey questionnaires designed to collect information about students’ educational experiences and opportunities to learn both inside and outside of the classroom and twelfth-graders' postsecondary plans.
Full results for each subject are available in the 2019 NAEP Mathematics Report Card and the 2019 NAEP Reading Report Card.
|NCES 2020134||Process Data File of the 2017 NAEP Mathematics Assessment: Grade 8 Released Items
As schools in the United States are increasingly using digital technology in the classroom to teach and assess students, the National Assessment of Educational Progress (NAEP) has moved forward to align with these practices. NAEP’s transition from paper-based to digitally based administration provides an engaging assessment experience for students and aligns with the delivery mode of many other large-scale assessments. Importantly, this transition to digitally based assessment (DBA) also allows NAEP to use tools available in digital platforms to measure content in new ways; to use assistive technology to provide enhanced accommodations for students with special needs; and to collect new types of data that deepen our understanding of what students know and can do, including how they engage with new technologies to approach problem solving.
In 2017, the NAEP mathematics assessment was administered for the first time as a DBA at grades 4 and 8. The digital platform allowed for the collection of new data within the testing system, including information on how students used onscreen tools to develop their responses to the assessment questions. These new data are called response process data. To further enrich our understanding of what students know and can do in the digital environment, response process data from the 2017 NAEP grade 8 mathematics assessment are now available for secondary analysis.
NAEP DBAs offer far more flexibility in meeting the needs of different students. The DBAs include Universal Design Elements, or built-in features that make it possible for more students to participate without special accommodation sessions. Onscreen tools are also available for students to use in their problem solving. The goal is for all students to have a seamless assessment administration, regardless of their ability.
|REL 2021038||Algebra I and College Preparatory Diploma Outcomes among Virginia Students Who Completed Algebra I in Grades 7–9
In Virginia, 52 percent of students graduated from high school with a college preparatory diploma in 2019. However, 31 percent of economically disadvantaged students and 15 percent of English learner students graduated with a college preparatory diploma. Recognizing the importance of mathematics in preparing students for college and careers, Virginia leaders are seeking to improve mathematics instructional programs and associated policy. As one part of their effort, this study was designed to learn more about Algebra I and graduation outcomes among students with similar mathematics proficiency in grade 5 who completed Algebra I in grade 7, 8, or 9 in Virginia. Using data from the Virginia Longitudinal Data System, the study followed a population of 61,200 students who were in Virginia public schools in grade 5 in 2009/10 and who graduated in 2016/17. Results describe students' prior mathematics performance, Algebra I performance, and college preparatory diploma attainment based on the grade level in which they completed Algebra I. The analyses used descriptive statistics and cross-tabulations of the overall study population as well as students identified as economically disadvantaged and English learner students. Fewer than half the students who completed Algebra I in grade 9 earned a college preparatory diploma, even when they earned advanced scores on the grade 5 mathematics assessments. Economically disadvantaged students who scored at the advanced level on the grade 5 mathematics assessment and completed Algebra I in grade 7 had an Algebra I pass rate that was 10 percentage points lower than that of the overall study population, and a rate of earning a college preparatory diploma 18 percentage points lower than that of the overall study population. Similar gaps in performance existed when economically disadvantaged students completed Algebra I in grade 8 or 9.
|REL 2020039||The Reliability and Consequential Validity of Two Teacher-Administered Student Mathematics Diagnostic Assessments
Several school districts in Georgia currently use two teacher-administered diagnostic assessments of student mathematical knowledge as part of their multi-tiered system of support in grades K-8. These assessments are the Global Strategy Stage (GloSS; New Zealand Ministry of Education, 2012) and the Individual Knowledge Assessment of Number (IKAN; New Zealand Ministry of Education, 2011). However, little is known about the inter-assessor reliability and consequential validity of these assessments. Inter-assessor reliability indicates whether two teachers obtain the same score for a student after administering the test on two occasions, and consequential validity explores perceptions of the value of using the assessments. Rather than rely on occasional testimonials from the field, decisions about using diagnostic assessments across the state should be based on psychometric data from an external source. Districts not currently using the GloSS and IKAN have indicated that they would consider using them to assess students’ current level of mathematical understanding and determine appropriate levels of instruction and intervention, if they were proven to be reliable and valid diagnostic assessments. This study found that the inter-assessor reliability for the GloSS measure and the IKAN Counting Interview is adequate. The inter-assessor reliability for the IKAN Written Assessment (one of the two components of the IKAN) is inadequate, and additional attention must be directed toward improving training for this measure so that reliability can be established. Teachers indicated that they found the data from the GloSS and IKAN assessments more useful than screening data currently in use for guiding decisions about how to provide intervention. Although teachers interviewed in the study’s focus groups expressed strong support for using both assessments, they reported in the study survey that the GloSS is more useful than the IKAN because it addresses students' solution strategies, which most other mathematics measures do not assess. Teachers did express some criticisms of both assessments; for example, they felt the IKAN Written Assessment should be untimed and that the GloSS should include familiar vocabulary.
|REL 2020023||What Grade 7 Foundational Knowledge and Skills Are Associated with Missouri Students' Algebra I Achievement in Grade 8?
Algebra I is considered a gateway course for advanced math. Consequently, there has been a trend toward enrolling students in Algebra I earlier in the middle grades in order to increase opportunities for students to take more advanced math courses in high school. The challenge for educators lies in determining which students are ready to take Algebra I in middle school and which students need more time to develop foundational knowledge and skills before taking Algebra I. To inform strategies that address this challenge, educators from the Missouri Department of Elementary and Secondary Education partnered with Regional Educational Laboratory Central to investigate the specific foundational knowledge and skills that are associated with achievement in Algebra I. This study examined whether student knowledge in five domains of math assessed in grade 7 was associated with Algebra I achievement. The study found that students’ scores in all five of the grade 7 domains were related to Algebra I achievement, but their performance in the expressions, equations, and inequalities domain was most strongly related. The number sense and operations domain was more strongly associated with Algebra I achievement for English learner students than it was for students without this designation. No clear differences in these associations were found between students who were receiving special education services and those who were not.
|NCES 2020068||Process Data From the 2017 NAEP Grade 8 Mathematics Assessment
This report describes the contents of the first-ever NCES release of a response process dataset from the National Assessment of Educational Progress (NAEP). Response process data are the data generated from students’ interactions with a digitally based assessment. The data include the time students spend on assessment items; their keypresses as they progress through the assessment; how they use onscreen tools made available to all learners (such as the calculator); and the use of accommodations (for example, text-to-speech). The response process dataset files will be released as a restricted-use data (RUD) package including the response process data, as well as linked datasets on students’ responses to assessment items and their demographics and accommodation information. Data will be available only for students who were assessed using assessment items that were released to the public from the 2017 grade 8 mathematics assessment. People interested in accessing the data must obtain a restricted-use data license from NCES.
|NCES 2020037||From Algebra to Zoology: How Well Do Students Report Mathematics and Science Coursetaking?
This study measures the validity of the mathematics and science coursetaking information reported by high school students by comparing it to information obtained from the NAEP High School Transcript Study (HSTS). The HSTS is an administrative data collection of transcripts belonging to high school graduates who took the NAEP twelfth-grade mathematics and science assessments. The HSTS provides NAEP with an opportunity to compare the official coursework recorded on students’ high school transcripts to their self-reported high school coursetaking and identify any differences. Such differences are important to consider when exploring the relationship between student reported coursetaking and other measures of student educational performance, such as NAEP twelfth-grade assessment scores.
|NCES 2020047||U.S. PIAAC Skills Map: State and County Indicators of Adult Literacy and Numeracy
The U.S. PIAAC Skills Map allows users to access estimates of adult literacy and numeracy proficiency in all U.S. states and counties through heat maps and summary card displays. The Skills Map also includes state- and county-level estimates for six age groups and four education groups. It also provides estimates of the precision of its indicators and facilitates statistical comparisons among states and counties. The users guide explains reporting practices and statistical methods that are needed to accurately use these state and county estimates and it provides examples of common uses.
|NCES 2020225||Program for the International Assessment of Adult Competencies (PIAAC): State and County Estimation Methodology Report
This report describes the statistical methodology used to produce estimates of average scores and high, middle, and low proficiency levels of adult skills for every state and county in the United States.
|WWC 2020005||Intervention Report: Fraction Face-Off! Primary Mathematics
This What Works Clearinghouse (WWC) intervention report summarizes research on Fraction Face-Off!, a supplemental math program designed to assist fourth-grade students with solving fraction problems. The WWC reviewed eligible research on Fraction Face-Off! and found that this program may increase fourth-grade student achievement in geometry and measurement, numbers and operations, and general mathematics skills.
|NCES 2020051||U.S. Performance on the 2015 TIMSS Advanced Mathematics and Physics Assessments: A Closer Look
“U.S. Performance on the 2015 TIMSS Advanced Mathematics and Physics Assessments: A Closer Look” expands upon the results described in NCES’ initial "Highlights" report on TIMSS Advanced. This new report provides in-depth analyses that (1) examine the demographics, school characteristics, and coursetaking patterns of the small subset of U.S. 12th-graders taking the TIMSS Advanced assessments; (2) describe the extent to which the topics assessed in the study were covered in the curricula of the advanced mathematics and physics courses taken by U.S students; (3) provide detailed performance data within content domains for student subgroups and overall; and (4) illustrate student performance with example items.
This report uses data from the 2015 Trends in International Mathematics and Science Study Advanced (TIMSS Advanced), an international assessment that measures advanced mathematics and physics achievement in the final year of secondary school. TIMSS Advanced is sponsored by the International Association for the Evaluation of Educational Achievement (IEA) and conducted in the United States by NCES.
|NCES 2020009||Digest of Education Statistics, 2018
The 54th in a series of publications initiated in 1962, the Digest's purpose is to provide a compilation of statistical information covering the broad field of education from prekindergarten through graduate school. The Digest contains data on a variety of topics, including the number of schools and colleges, teachers, enrollments, and graduates, in addition to educational attainment, finances, and federal funds for education, libraries, and international comparisons.
|NCES 2020166||Highlights of U.S. PISA 2018 Results Web Report
This web report provides key comparative information on the reading, mathematics, and science literacy performance of 15-year-old students in the United States and 77 other participating education systems. The Program for International Student Assessment (PISA) is sponsored by the Organization for Economic Cooperation and Development (OECD) and focuses on students as they are nearing the end of compulsory schooling. PISA is conducted every 3 years, with 2018 being the latest round.
In PISA 2018, the major domain was reading literacy, although mathematics and science literacy were also assessed. In addition to national average scores, PISA also provides insight into the percentage of students who reach each of the PISA proficiency levels.