Mathematical knowledge for teaching (MKT) measures have been widely adopted by researchers. Critics have debated the value of such measures and questioned the type of knowledge that these access. This article reports on a study where the challenges in measuring teachers' knowledge were illuminated through investigating relationships between the…

Presents a discussion of trying to best account for the variation resulting from guessing on a multiple-choice exam. A mathematical process is given to determine the amount of variance that could be added or subtracted from a student's score to account for guessing. Examples are provided. (MVL)

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…