National policy and standards documents, including the National Assessment of Educational Progress frameworks, the "Common Core State Standards" and the "Next Generation Science Standards," assert the need to assess critical-analytic thinking (CAT) across subject areas. However, assessment of CAT poses several challenges for…

Authentic and direct assessment of performance and products are examined in light of contrasting functions and purposes with implications for validation, especially those of specialized validity criteria for performance assessment. The roles of positive and negative consequences of validation are underscored, along with the need for evidence of…

Schilling et al. (this issue) have done a commendable job in illustrating a comprehensive process of validating assessments of teacher knowledge (and, more broadly, other types of tests as well). On one hand, the concrete illustration of a process that often remains murky and incomplete is profoundly heartening, as it provides a rigorous model for…

Four major problem areas inhibit the standardized assessment of critical thinking (CT): (1) content validity; (2) construct validity; (3) technical jargon; and (4) background knowledge. Practical examples of framing multiple-choice items for assessment are suggested. In the area of content validity, new agreement about the definition of CT now…

Teacher knowledge has been of theoretical and empirical interest for over two decades, and development of measures is overdue. The researchers represented in this volume have been breaking new ground by developing a measure of mathematical knowledge for teaching (MKT) without guiding precedents, and in the face of differing perspectives on teacher…

Operating from multiple literature bases in cognitive psychology, mathematics education, and theoretical and applied psychometrics, Schilling, Hill and their colleagues provide a systemic approach to studying the validity of scores of mathematical knowledge for teaching. This system encompasses an array of task formats and methodologies. The…