Construct maps are tools that display how the underlying achievement construct upon which one is trying to set cut-scores is related to other information used in the process of standard setting. This article reviews what construct maps are, uses construct maps to provide a conceptual framework to view commonly used standard-setting procedures (the…

The focus article "Road Maps for Learning: A Guide to the Navigation of Learning Progressions" by Black, Wilson, and Yao (this issue) is a veritable tour-de-force, covering a great deal of education ground while spanning the heights from models of the interplay among curriculum, pedagogy, and assessment to interpretations of student responses to…

This paper provides a summary of the authors' attempts to uncover links between their measures, classroom mathematics instruction, and student learning. This paper also provides evidence regarding one central critique of their measures: that multiple-choice assessments cannot validly represent the knowledge, skills, and judgment involved in actual…

The series of articles presented in this journal issue reports a systematic approach to judging the validity of a test within a framework recommended by Kane (2001, 2004a). The authors' approach effectively integrates quantitative and qualitative tools, showing the role of psychometric models in validation, and emphasizes the importance of clearly…

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…

The purpose of this article is to suggest ways of using research on children's reasoning and learning to elaborate on existing national standards and to improve large-scale and classroom assessments. The authors suggest that "learning progressions"--descriptions of successively more sophisticated ways of reasoning within a content domain based on…

Instructionally supportive accountability tests (a) measure students' mastery of only a modest number of extraordinarily important curricular aims; (b) describe what is to be assessed in clear, teacher-palatable language; and (c) report each student's results for every curricular aim assessed. To determine the suitability of such assessments to…