This article provides teachers with a toolkit for assessing students in the context of data-based individualization (DBI) in mathematics. Assessing students is a critical component of DBI because it provides teachers with information about what they may need to modify in their instructional programs. In this article, we provide teachers with…

To support continuous professional development model in the teaching and learning of mathematics, many districts and schools have begun hiring elementary mathematics coaches and/or specialists (MCSs). However, limited large-scale empirical research exists that determines how the use of MCSs affect student learning and achievement. Kristin E.…

In March 2020, the National Center for Special Education Research (NCSER) virtually convened a group of experts to discuss gaps in research on eighth grade mathematics for students with disabilities (SWD) that could be addressed with the NAEP process data and data science techniques for this research. Invited experts also provided recommendations…

This is the technical appendix for the report "Gaining Momentum: Refining Corequisite Learning Support to Boost Student Success in the First Year and Beyond" which seeks to develop a body of actionable information about how to refine learning support, close equity gaps, and promote strong momentum toward success for community college…

Item response models typically assume that the item characteristic (step) curves follow a logistic or normal cumulative distribution function, which are strictly monotone functions of person test ability. Such assumptions can be overly-restrictive for real item response data. We propose a simple and more flexible Bayesian nonparametric IRT model…

Identifying schools that are beating the odds--schools that are exceeding academic performance expectations, given the composition of their student body--can lead to promising practices that other schools serving similar populations can implement. Regional Educational Laboratory Northeast & Islands used data on high-poverty high schools in…

In this work we introduce the system for adaptive practice of foundations of mathematics. Adaptivity of the system is primarily provided by selection of suitable tasks, which uses information from a domain model and a student model. The domain model does not use prerequisites but works with splitting skills to more concrete sub-skills. The student…

The National Assessment of Educational Progress (NAEP) is the only continuing and nationally representative measure of trends in academic achievement of U.S. elementary and secondary school students in various subjects. For more than four decades, NAEP assessments have been conducted periodically in reading, mathematics, science, writing, U.S.…

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

The Southeast Comprehensive Center (SECC) at SEDL, an affiliate of American Institutes for Research (AIR), partnered with the Alabama State Department of Education (ALSDE) in 2014 to assist in evaluating Alabama Plan 2020, mainly focusing on learners and the graduation rate. SECC provided professional development and analytic technical assistance…

Data analysis plays an important role in people's lives. Citizens need to be able to conduct critical analyses of statistical information in the work place, in their personal lives, and when portrayed by the media. However, becoming a conscientious consumer of statistics is a gradual process. The experiences that students have with data in the…

One of the most difficult tasks that classroom teachers face is finding ways to reach all their students and match each student's level of mathematical readiness and performance to the skills they are required to teach. In classrooms and schools, current federal and state requirements have increased the emphasis on accountability for improved…

An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, such as students clustered in classes. For each subject, a latent process is used to represent the characteristic of interest (e.g., ability) conditional on the effect of the cluster to…

This first article of the special issue presents theoretical and methodological considerations about longitudinally investigating curricular effects on the teaching and learning of mathematics in a cultural context. In particular, in this article, we discuss seven issues related to the investigation of curricular effects on the teaching and…

The "PISA 2012 Technical Report" describes the methodology underlying the PISA 2012 survey, which tested 15-year-olds' competencies in mathematics, reading and science and, in some countries, problem solving and financial literacy. It examines the design and implementation of the project at a level of detail that allows researchers to…