This study demonstrates the advantages of using a constrained optimization algorithm to explore the optimal number of prompts, modes of discourse, and raters for achieving an acceptable level of reliability during a direct writing assessment. Writing samples elicited from 50 college students were rated by 3 graduate students and the scores…

Reform efforts in mathematics aim to increase conceptual understanding, an aim that can be supported through concept maps. This study compared the conceptual knowledge of function held by college students in reform and traditional calculus sections at a large state university. Fourteen students from reform sections and 14 from traditional sections…