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.…

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)…

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…

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…

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…

The effect of a self-directed mathematics program on the math achievement of students who are gifted and talented (GT) was evaluated. An instructional management system, Accelerated Math (Advantage Learning Systems, 1998a), was used to assign instruction, monitor student progress, and provide teachers with the information they needed to…

A point "E" inside a triangle "ABC" can be coordinatized by the areas of the triangles "EBC," "ECA," and "EAB." These are called the barycentric coordinates of "E." It can also be coordinatized using the six segments into which the cevians through "E" divide the sides of "ABC," or the six angles into which the cevians through "E" divide the angles…

Motivation and affect have mostly been studied separately, but both research and practical experience suggest that they are reciprocal features of learning experiences and should be studied together. The present research examines the relationships among cognition, motivation and affect in fifth- and sixth-grade children during mathematics classes…

This short note introduces an interesting random walk on a circular path with cards of numbers. By using high school probability theory, it is proved that under some assumptions on the number of cards, the probability that a walker will return to a fixed position will tend to one as the length of the circular path tends to infinity.

Identified teacher decisions related to achievement gains by implementing the National Council of Teachers of Mathematics' Standards. Results indicated that there was correlation between time span and problem solving gain as well as computation achievement gain, and the number of times teachers chose to use manipulatives to teach. (MOK)