When compared to pre-pandemic scores, results from the 2022 National Assessment of Educational Progress showed the most substantial declines in 4th and 8th grade math achievement on record. More than one-quarter of 4th graders scored below the basic level of achievement. Roughly 4 in 10 8th grade students scored below the basic achievement level.…

In this study we evaluated the stability of item parameters and student scores, using the pre-equated (pre-pandemic) parameters from Spring 2019 and post-equated (post-pandemic) parameters from Spring 2021 in two calibration and equating designs related to item parameter treatment: re-estimating all anchor parameters (Design 1) and holding the…

This volume of PISA examines the readiness of students to engage with learning strategies, to be motivated to learn and to be confident in their abilities and in their capacity to improve their skills and knowledge. Countries like Korea have reduced mathematics anxiety, Portugal excels in critical thinking, and more low-performing students in…

In 2018, the National Science Foundation supported the sixth in a series of surveys through a grant to Horizon Research, Inc. (HRI). This series of studies has been known as the National Survey of Science and Mathematics Education (NSSME). Although not designed primarily as an equity study, the 2018 NSSME+ provides data on some indicators of the…

The Rural Math Innovation Network (RMIN) is a 4-year project that launched in January 2017 after receiving a $2.9 million Investing in Innovation (i3) development grant from the U.S. Department of Education (ED) and matching funds from the private sector. Virginia Ed Strategies and rural local education agencies (LEAs) in Virginia are implementing…

This technical report provides information about the sample, survey instrument, and resultant data for the American Instructional Resources Surveys (AIRS) that were administered to principals and teachers in Spring 2021 via RAND's American Educator Panels. The AIRS focused on instructional resources used and supported in English language arts,…

This report highlights some of the major findings from the 2018 NSSME+. Six major topical areas are addressed: (1) Teacher Background and Beliefs; (2) Science, Mathematics, and Computer Science Professional Development; (3) Science, Mathematics, and Computer Science Courses; (4) Instructional Decision Making, Objectives, and Activities; (5)…

Competence in mathematics is integral to a wide range of disciplines, professions and areas of life. This Eurydice report reveals crucial elements of the policies and practices that shape mathematics instruction in European education systems, focusing on reforms of mathematics curricula, teaching and assessment methods, as well as teacher…

Data from the ALEKS-based placement program at the University of Illinois is presented visually in several ways. The placement exam (an ALEKS assessment) contains precise item-specific information and the data show many interesting properties of the student populations of the placement courses, which include Precalculus, Calculus, and Business…

The Bill and Melinda Gates Foundation has invested in the development and dissemination of high-quality instructional and formative assessment tools to support teachers' incorporation of the Common Core State Standards (CCSS) into their classroom instruction. Lessons from the first generation of standards-based reforms suggest that intense…

Commencing in 2011, the Mathematics Academies Initiative is a series of professional development academies (lasting 1 to 2 years, depending on cohort) with the primary objectives of (a) providing educators with a high quality professional development experience that enhances their mathematical content knowledge and pedagogical skills, and (b)…

A method for the numerical evaluation of the error term in Gaussian quadrature rules is derived by means of Chebyshev polynomials of the first kind.

Many colleges and universities use a mathematics placement process to guide students to the appropriate entry-level mathematics course. The mathematics placement process presented here was developed over a four year period to make placement recommendations to Calculus I, Precalculus, and College Algebra. Placement recommendations are based on the…

Math experts developed Formative Assessment Lessons that teachers can incorporate throughout the year's curriculum. Both tools target the "instructional core." A study by Research for Action (RFA) examining the first year of piloting the Literacy Design Collaborative (LDC) and Math Design Collaborative (MDC) tools (2010-11) found…

This paper describes "The Migration Method," a new technique for graphing a quadratic function (one of the major foundations of undergraduate mathematics) and finding its zeroes. The method promotes a higher degree of conceptualization, reinforces the concept of symmetry, encourages mental visualization, and strengthens the ability to…