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|REL 2022120||Community Math Night Facilitators' Toolkit
The Community Math Night Facilitators’ Toolkit is a detailed resource for elementary school educators to plan and implement a Community Math Night event. Community Math Nights use interactive math activities to engage families in building positive math attitudes, facilitate their participation in children’s learning in grades K–5, and build a community of educators, students, families, and other caring adults. This toolkit includes planning and organizational resources, research findings on community engagement and math instruction strategies, and step-by-step instructions and printable materials for the interactive activities. It also includes a workbook that can be used as a professional learning resource on key math-learning research findings and how to apply them in practice.
|NCES 2021077||2020 Long-Term Trend Reading and Mathematics Assessment Results at Age 9 and Age 13
This report presents the results of the National Assessment of Educational Progress (NAEP) long-term trend assessments in reading and mathematics administered during the 2019–20 school year to 9- and 13-year-old students. Long-term trend assessments were first administered in the early 1970s; results are available for 13 reading assessments dating back to 1971 and 12 mathematics assessments dating back to 1973. This report provides trend results in terms of average scale scores, selected percentiles, and five performance levels. Item maps for each age group illustrate skills demonstrated by students when responding to assessment questions. Scale score results are included for students by selected background characteristics (e.g., race/ethnicity, gender, and grade attended). Overall, the 2020 average scores in reading and mathematics for 13-year-olds were higher than the earliest assessments but declined since 2012. Scores for the lowest-performing students (at the 10th percentile) decreased from 2012 at both ages and subjects.
|NCES 2021029||2012–2016 Program for International Student Assessment Young Adult Follow-up Study (PISA YAFS): How reading and mathematics performance at age 15 relate to literacy and numeracy skills and education, workforce, and life outcomes at age 19
This Research and Development report provides data on the literacy and numeracy performance of U.S. young adults at age 19, as well as examines the relationship between that performance and their earlier reading and mathematics proficiency in PISA 2012 at age 15. It also explores how other aspects of their lives at age 19—such as their engagement in postsecondary education, participation in the workforce, attitudes, and vocational interests—are related to their proficiency at age 15.
|NCES 2021036||Mapping State Proficiency Standards onto the NAEP Scales: Results From the 2019 NAEP Reading and Mathematics Assessments
The National Center for Education Statistics (NCES) has periodically published reports using results from the National Assessment of Educational Progress (NAEP) to compare the proficiency standards that states set for their students. Since standards vary across states, the results of the various state assessments cannot be used to directly compare students’ progress. However, by placing a state standard onto the NAEP scale, a common metric for all states, a NAEP equivalent score is produced, which can be compared across states. The last mapping study report released by NCES (NCES 2019-040) compared state proficiency standards for school year 2016-17. The current report highlights the results of mapping state proficiency standards onto the NAEP scales using state assessment results from the 2018–19 school year and the 2019 NAEP assessments for public schools.
|NCES 2021018||The National Indian Education Study 2019
The National Indian Education Study (NIES) utilizes the National Assessment of Educational Progress (NAEP) and contextual questions to describe the condition of education for fourth- and eighth-grade American Indian and Alaska Native (AI/AN) students in the United States. NIES is conducted under the direction of the National Center for Education Statistics on behalf of the U.S. Department of Education’s Office of Indian Education.This report provides:
Results are reported for three mutually exclusive categories of schools as well as for an overall category:
The survey results presented in this report are focused primarily on the responses of fourth- and eighth-grade AI/AN students to selected survey questions. Approximately 7,000 fourth-graders and 6,300 eighth-graders participated in the NIES 2019 student survey. Teachers and school administrators also completed surveys.
Average scores in NAEP reading and mathematics for AI/AN fourth- and eighth- graders from earlier NAEP assessments in 2005, 2007, 2009, 2011, and 2015 are compared to their average reading and mathematics scores in 2019.
The NIES survey questions, as well as the report itself, were created in close collaboration with the NIES Technical Review Panel (TRP). The NIES TRP is composed of AI/AN educational stakeholders from across the country.
|WWC 2021011||University of Chicago School Mathematics Project (UCSMP)
This WWC intervention report summarizes the research on University of Chicago School Mathematics Project (UCSMP), which is a core mathematics curriculum for middle school that includes materials and a routinized instructional approach with an option for teacher training. The curriculum is designed to teach students mathematics concepts, applications, and skills using an inquiry-based approach with a focus on active learning. The report focuses on two UCSMP courses: Pre-Transition Mathematics and Transition Mathematics. Pre-Transition Mathematics teaches arithmetic, algebra, geometry, probability, and statistics. Transition Mathematics teaches more advanced arithmetic, algebra, and geometry, and connects these areas to measurement, probability, and statistics. Based on the research, the WWC found that implementing UCSMP has no discernible effects on general mathematics achievement and no discernible effects on algebra achievement for students in grades 6 to 9, relative to other math curricula used in study schools.
|WWC 2021012||Math Expressions
This WWC intervention report summarizes the research on Math Expressions, a core curriculum for elementary school students that aims to build students' conceptual understanding of mathematics and to develop fluency in mathematical problem solving and computation. The curriculum encourages student learning of mathematics through real-world situations, visual supports such as drawings and manipulatives, multiple approaches to solving problems, and opportunities for students to explain their mathematical thinking. Based on the research, the WWC found that Math Expressions has no discernible effects on general mathematics achievement for students in grades 1 and 2, relative to other math curricula used in study schools.
|WWC 2021006||Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades
The What Works Clearinghouse&TM; (WWC) developed this practice guide in partnership with a panel of experts including educators in both mathematics and special education. The panel distilled recent, rigorous mathematics intervention research into six practice recommendations for educators working with students in grades K-6. The guide can help educators tailor their math instruction approaches and small-group intervention programs and will also be useful to math specialists, math coaches, district and state personnel, and parents.
|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.