Based on the results of a generalizability study (G study) of measures of teacher knowledge for teaching mathematics developed at The National Center for Research, on Evaluation, Standards, and Student Testing (CRESST) at the University of California, Los Angeles, this report provides evidence that teachers are better at drawing reasonable…

Generalizing or making claims that extend beyond particular situations is a central mathematical practice and a focus of classroom mathematics instruction. This study examines how aspects of generality are produced through the situated activities of a group of middle school mathematics students working on an 8-week population-modeling project. The…

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…