This paper describes how a constraint dependency grammar (CDG) parser performs a syntactic analysis of a single sentence (as part of a speech recognition system). The paper extends an existing CDG (developed by H. Maruyama) to process a lattice or graph of sentence hypotheses instead of separate text strings. The paper also describes how the CDG…

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…

Two studies are reported that explore the effectiveness of instruction in promoting students' conceptual understanding of the average concept using a leveling model and an open-ended problem-solving approach. One teacher and her 46 sixth-grade students participated in the first study. One year later, the second study was conducted with the same…