Although much research has been conducted on the psychometric properties of cognitive diagnostic models, they are only recently being used in operational settings to provide results to examinees and other stakeholders. Using this newer class of models in practice comes with a fresh challenge for diagnostic assessment developers: effectively…

We report a multidimensional test that examines middle grades teachers' understanding of fraction arithmetic, especially multiplication and division. The test is based on four attributes identified through an analysis of the extensive mathematics education research literature on teachers' and students' reasoning in this content…

This paper presents a framework to provide a structured approach for developing score reports for cognitive diagnostic assessments ("CDAs"). Guidelines for reporting and presenting diagnostic scores are based on a review of current educational test score reporting practices and literature from the area of information design. A sample diagnostic…

We addressed the challenge of scoring cognitive interviews in research involving multiple cultural groups. We interviewed 123 fourth- and fifth-grade students from three cultural groups to probe how they related a mathematics item to their personal lives. Item meaningfulness--the tendency of students to relate the content and/or context of an item…

This paper describes a comprehensive model of alignment that provides a foundation for meaningful reporting of students' academic progress over time. The model includes both horizontal and vertical alignment as integral parts of the development of content standards, test blueprints, items, item pools, instruments, performance level descriptors,…