Core Maths qualifications were introduced into the post-16 curriculum in England in 2014 to help students develop their quantitative and problem-solving skills. Taking the qualification should also give students confidence in understanding the mathematical content in other courses taken at the same time. In this article, we explore whether Core…

The purpose of this National Assessment of Educational Progress (NAEP) Achievement Levels Validity Argument Report is to synthesize evidence currently available to address the validity of the interpretations and uses of the NAEP Achievement Levels. Validity is the extent to which theory and evidence supports or refutes proposed and enacted test…

This research is a developmental research aiming at developing a good mathematical test instrument using polytomous responses based on classical and modern theories. This research design uses the Plomp model, which consists of five stages, (1) preliminary investigation, (2) design, (3) realization/construction, (4) revision, and (5) implementation…

Test developers are continually exploring the possibilities Computer Based Assessment (CBA) offers the Mathematics domain. This paper describes the trial of the Place Value Assessment Tool (PVAT) and its online equivalent, the PVAT-O. Both tests were administered using a counterbalanced research design to 253 Year 3-6 students across nine classes…

Measuring learning outcomes on core skills is key to building evidence on which teaching and learning interventions are most effective, and ultimately informing policy that prioritises these skills, amongst early learners. However, developing national or systems-level assessments pose considerable challenges, including implementing an effective…

Despite the call for an argument-based approach to validity over 25 years ago, few examples exist in the published literature. One possible explanation for this outcome is that the complexity of the argument-based approach makes implementation difficult. To counter this claim, we propose that the Assessment Triangle can serve as the overarching…

We describe the summative assessment component within a K-12 assessment program and our development of a validity argument to support its claims with respect to intended uses and interpretations. First, we describe the "Winsight"® assessment program theory of action, a logic model elucidating mechanisms for how use of the assessment…

Inquiry-oriented teaching is a specific form of active learning gaining popularity in teaching communities. The goal of inquiry-oriented classes is to help students in gaining a conceptual understanding of the material. My research focus is to gauge students' performance and conceptual understanding in inquiry-oriented linear algebra classes. This…

This research synthesizes studies that used a Digitalized Interactive Component (DIC) to assess K-12 student mathematics performance during Computer-based-Assessments (CBAs) in mathematics. A systematic search identified ten studies that categorized existing DICs according to the tools that provided language assistance to students and tools that…

We investigated the use and validity of standardized achievement tests for summative evaluation of 78 educational intervention projects funded by the Institute of Education Sciences (IES) math and science education program. Investigators from 46 projects evaluated curricular interventions with standardized achievement tests as outcome measures.…

Test scoring procedures should align with the intended uses and interpretations of test results. In this paper, we examine three test scoring procedures for an operational assessment of early numeracy, the Early Grade Mathematics Assessment (EGMA). The EGMA is an assessment that tests young children's foundational mathematics knowledge and has…

Federal law requires all public school students in grades three to eight to take an annual assessment in reading and math at the end of the year and requires students to take an assessment once during high school. The goal of this assessment is to measure the extent to which all students are meeting the state's academic standards. These standards…

New Meridian Corporation has developed the "Quality Testing Standards and Criteria for Comparability Claims" (QTS) to provide guidance to states that are interested in including New Meridian content and would like to either keep reporting scores on the New Meridian Scale or use the New Meridian performance levels; that is, the state…

Implications of the multiple-use of accountability assessments for the process of validation are examined. Multiple-use refers to the simultaneous use of results from a single administration of an assessment for its intended use and for one or more additional uses. A theoretical discussion of the issues for validation which emerge from…

The National Assessment of Educational Progress (NAEP) is an integral measure of academic progress over time. It is the largest nationally representative and continuing assessment of what our nation's students know and can do in various subjects such as civics, mathematics, reading, science, technology and engineering literacy, U.S. history, and…