Many universities use diagnostic tests to assess incoming students' preparedness for mathematics courses. Diagnostic test results can help students to identify topics where they need more practice and give lecturers a summary of strengths and weaknesses in their class. We demonstrate a process that can be used to make improvements to a mathematics…

Successful early mathematical development is vital to children's later education, employment, and wellbeing outcomes. However, established measurement tools are infrequently used to (i) assess children's mathematical skills and (ii) identify children with or at-risk of mathematical learning difficulties. In response, this pre-registered systematic…

Multiple popular math curriculum-based measures have recently been revised in ways that may improve their utility for universal screening. However, the applied use of these tools has yet to be evaluated independently. We conducted a retrospective analysis of the diagnostic accuracy of prior year statewide test results and aimswebPlus math…

Using data from students in Grades 3-8 in school years 2018-2019 (N = 1,871) and 2021-2022 (N = 1,740), we examined the strength of fall math screening using Measures of Academic Progress (MAP) for predicting end-of-year state math assessment performance levels and whether this prediction varied across English language proficiency (ELP). In…

Drawing from the developmental and cognitive mathematics literature, the purpose of this study was to investigate the reliability, validity, and diagnostic utility of a widely-researched number line task in kindergarten. Specifically, the Number Line Assessment 0-100 (NLA 0-100) as compared to an established kindergarten screening measure was…

Predictive validity considerations in selection dictate choice of the predictor with the highest predictive validity. Implementation of this principle in any specific selection process inevitably entails choice between imperfectly correlated alternative predictors, real or hypothetical, which are equivalent in terms of predictive validity. We show…

Early childhood care and education (ECCE) programs are an important mechanism for supporting foundational skill development and successful progression through later schooling. School readiness assessments that serve as reliable indicators of children's later educational outcomes are most useful for education systems, but little is known about how…

Measuring the implementation fidelity (IF) or integrity of interventions is crucial, otherwise a positive or negative outcome cannot be interpreted. Direct and indirect methods of IF measurement tend to over-emphasize teacher behaviour. This paper focuses on IF measured by student behaviour collected through computers. Attainment was measured by…

The current study examined the criterion validity of a computer adaptive universal screener with an end-of-year state mathematics assessment using extant data provided by a local education agency. Participants included 1,195 third through eighth graders. Correlational analyses were used to report predictive and concurrent validity coefficients for…

The "5Essentials Survey" is one of the few validated instruments to measure school climate. Schools that are strong in at least three of the five essential supports are up to 10 times more likely to experience substantial gains in students' math and reading scores. More than 6,000 schools nationwide have administered the…

Although algebra often functions as a gatekeeper to higher-level mathematics courses and higher education admissions, few quality measures exist for assessing conceptual understanding. This study explored the technical adequacy of three procedural and two conceptual algebra screening measures. We administered three rounds of assessments throughout…

This study analyzed the relationship between benchmark scores from the newly published Dynamic Indicators of Basic Early Literacy Skills Math (i.e., Acadience™) math probes and student performance on math and reading sections of a state-mandated high-stakes test. Participants were 420 students enrolled in third, fourth, and fifth grades in a rural…

The "5Essentials Survey" is one of the few validated instruments to measure school climate. Schools that are strong in at least three of the five essential supports are up to 10 times more likely to experience substantial gains in students' math and reading scores. More than 6,000 schools nationwide have administered the…

Approximately, 283 sixth-grade students completed four randomly generated Math Curriculum-Based Measures (M-CBMs) from interventioncentral.org twice during a fall semester. These M-CBMs measured foundational skills in addition, subtraction, multiplication, and division. We found that using mean fluency or accuracy scores from four M-CBMs produced…

PBIS is has been consistently correlated with reductions in student exclusion including suspensions, expulsions, poor attendance, and high school dropout rates. However, school-wide strategies that do not specifically involve effective instruction in academic areas are unlikely to result in increased academic achievement. To address this reality,…