Probability is generally considered one of the most challenging areas to teach in mathematics education due to its intricate nature. However, the simulation-based teaching method can increase students' accessibility significantly to the probability problems because it enables students to resolve the problems with minimal mathematical skills. By…

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…

"Achieving Fluency" presents the understandings that all teachers need to play a role in the education of students who struggle: those with disabilities and those who simply lack essential foundational knowledge. This book serves teachers and supervisors by sharing increasingly intensive instructional interventions for struggling students on…

We propose the development of a "population" of high-quality assessment tasks that cover the performance goals set out in the "Common Core State Standards for Mathematics." The population will be published. Tests are drawn from this population as a structured random sample guided by a "balancing algorithm."

The growing prominence of high-stakes exit examinations has made questions about their effects on student outcomes increasingly important. We take advantage of a natural experiment to evaluate the causal effects of failing a high-stakes test on high school completion for the cohort scheduled to graduate from Massachusetts high schools in 2006.…

This Research Brief presents a method for predicting 10th grade Florida Comprehensive Assessment Test (FCAT) success from 6th grade FCAT performance. A simple equation provides the most probable single score prediction, and give-or-take error margins define high and low probability zones for expected 10th grade scores. In addition, a double-entry…

This article explores an application of combinations, geometric series, and elementary probability that arises in a Biblical setting. Describes examples of the applications such as the use of "urim and thummin." (YP)

Experiments that assign intact groups to treatment conditions are increasingly common in social research. In educational research, the groups assigned are often schools. The design of group-randomized experiments requires knowledge of the intraclass correlation structure to compute statistical power and sample sizes required to achieve adequate…

There is a strong and consistent relationship between PSAT/NMSQT scores and AP Examination grades for nearly all courses--higher scores on the PSAT/NMSQT indicate a higher probability of success on AP Examinations. PSAT/NMSQT verbal or mathematics scores are often more highly related to AP Examination grades than overall high school GPA, number of…