Mathematical conjectures and theorems are most often of the form P(x) ? Q(x), meaning ?x,P(x) ? Q(x). The hidden quantifier ?x is crucial in understanding the implication as a statement with a truth value. Here P(x) and Q(x) alone are only predicates, without truth values, since they contain unquantified variables. But standard textbook…

In Winter 2021-2022, the Nebraska Student-Centered Assessment System (NSCAS) assessments are administered in ELA and mathematics in Grades 3-8. In Spring 2021-2022, the NSCAS assessments are administered in English language arts (ELA) and mathematics in Grades 3-8 and in science in Grades 5 and 8. The purposes of the NSCAS assessments are to…

In Fall and Winter 2022-2023, the NSCAS assessments were administered in ELA and mathematics for grades 3-8. In Spring 2022-2023, the NSCAS assessments were administered in English language arts (ELA) and mathematics for grades 3-8 and in science for grades 5 and 8. The purposes of the NSCAS assessments are to measure and report Nebraska students'…

Evidence-based approaches to assessment design, development, and administration provide a strong foundation for an assessment's validity argument but can be time consuming, resource intensive, and complex to implement. This article describes an evidence-based approach used for one assessment that addresses these challenges. Evidence-centered…

In order to comply with the regulations put forth by the Elementary and Secondary Education Act (ESEA), as amended by the Every Student Succeeds Act (ESSA), states are required to submit evidence associated with their statewide accountability systems to the United States Department of Education (ED) for peer review. Some states have elected to…

In order to comply with the regulations put forth by the Elementary and Secondary Education Act (ESEA), as amended by the Every Student Succeeds Act (ESSA), states are required to submit evidence associated with their statewide accountability systems to the United States Department of Education (ED) for peer review. Thirty-eight states submitted…

Across Europe we can observe the reinforcement of monolingual education policies, despite increasing multilingualism. Recent research has shown that the emphasis is on language proficiency in the socially dominant language. This is viewed as the key to educational success. The use of other languages or linguistic repertoires is not valued in…

This primer should provide the reader with a deeper understanding of the concept of test validity and will present the recent available validity evidence on the relationship between SAT® scores and important college outcomes. In addition, the content examined on the SAT will be discussed as well as the fundamental attention paid to the fairness of…

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…

Males have significantly higher average scores than females on the SAT I quantitative section, which is designed to predict first-year college success in mathematics. However, it has been shown that gender gaps in performance on the SAT I have little to do with college readiness; rather they are due to the misaligned content of the instrument, as…

This paper introduces a variation on the post-test only cohort control design and addresses questions concerning both the methodological credibility and the practical utility of employing this design variation in evaluations of large-scale complex professional development programmes in mathematics education. The original design and design…

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 Mathematics Performance Expectations (MPE) define the content and level of achievement students must reach to be academically prepared for success in entry-level, credit-bearing mathematics courses in college or career training. They were developed through a process that involved faculty from Virginia's two- and four-year colleges and…

The National Assessment Governing Board adopted a Program of Preparedness Research in March 2009. Several categories of research studies were recommended to produce results for reporting 12th grade preparedness for the 2009 grade 12 National Assessment of Educational Progress (NAEP) in reading and mathematics. The categories included content…

Through a synthesis of test publisher norms and national longitudinal datasets, this study provides new national norms of academic growth in K-12 reading and math that can be used to reinterpret conventional effect sizes in time units. We propose d' a time-indexed effect size metric to estimate how long it would take for an "untreated"…