Issues concerning the selection of judges for standard setting are discussed. Determining the consistency of judges' recommendations, or their congruity with other expert recommendations, would help in selection. Enough judges must be chosen to allow estimation of recommendations by an entire population of judges. (SLD)

Given the current and widespread practical interest in mathematical understanding, particularly with respect to higher order thinking skills, curriculum reform advocates in many countries cite the need for teaching mathematics with understanding. However, the characterization of understanding in ways that highlight its growth, as well as the…