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…

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…

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…

Some potential relative advantages of performance assessment strategies over paper-and-pencil tests using short-answer and multiple-choice item formats are discussed. The major advantage of the multiple-choice test is its ability to sample a large number of learning outcomes efficiently. However, performance assessments are increasingly being used…