The purpose of this study is to identify the self-reported research-based instructional and assessment practices used by third through fifth grade teachers among rural school environments in Western Pennsylvania which have attained Adequate Yearly Progress (AYP) pursuant to statewide assessments. Specifically, this study examines the…

The Treatment Integrity Planning Protocol (TIPP) provides a structured process for collaboratively creating a treatment integrity assessment within a consultation framework. The authors evaluated the effect of the TIPP on the implementation of an intervention designed to improve the consistency of students' mathematics performance. Treatment…

Presents an alternative to using a single-class-period test to assess a college student's knowledge in the mathematics area. Evaluation of student mathematical knowledge and understanding of concepts is improved when students are given opportunities to design problems and solutions, applying classroom-acquired knowledge to new situations. Such…

In this article, the authors provide their critique on a set of papers that investigated Mathematics Knowledge for Teachers (MKT) assessment and the underlying theory and characteristics of the validity enterprise. Three types of assumptions and inferences--elemental, structural, and ecological--are discussed in these papers. These assumptions…

In this issue of Measurement: Interdisciplinary Research and Perspectives, Schilling et al. are explicit about the centrality of assessment design and development and psychometric analysis in validation. Schilling and colleagues, Kane (2004, 2006), other contemporary validity theorists and practitioners, and their predecessors typically discuss…

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…

Examines problems of instructional evaluation in urban schools using signal-receptor assessment theory analysis and a new type of test scoring procedure called Modified Confidence Weighted-Admissible Probability Measurement (MCW-APM). Discusses advantages of MCW-APM. (FMW)

The purpose of the Australian conference on mathematical assessment was to address the challenges to traditional methods of assessment that have resulted as part of the call for reform in the mathematics curriculum. The 28 papers presented were: "Who Assesses Whom and To What Purpose?" (Leone Burton; "Assessment of the Learned…

In this journal issue, the authors of the focus articles have provided a suite of very stimulating and thoughtful articles. The overarching purpose of this research is to explore the application of principles derived from the view of validity proposed by Kane (2004) to their research on issues related to the measurement of mathematical knowledge…

The authors of this volume's stimulus papers have taken on the challenge of developing measures of teachers' mathematical knowledge for teaching (MKT). This task involves multiple decisions and considerations, including: (1) How does one specify the body of knowledge being assessed? What warrants are offered for those choices?; (2) How does one…

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 author offers some thoughts on commentator's reactions to the substance of the measures, particularly those about measuring teacher learning and change, based on the major uses of the measures, and because this is a significant challenge facing test development as an enterprise. If teacher learning results in more integrated knowledge or…

In this article, the author echoes his co-author's and colleague's pleasure (Hill, this issue) at the thoughtfulness and far-ranging nature of the comments to their initial attempts at test validation for the mathematical knowledge for teaching (MKT) measures using the validity argument approach. Because of the large number of commentaries they…

This article summarizes the findings of the National Research Council (NRC) report "On Evaluating Curricular Effectiveness" and examines the reviews in middle grades mathematics undertaken by the What Works Clearinghouse (WWC). The NRC report reviewed and assessed 147 key evaluations of 13 National Science Foundation-supported K-12 mathematics…