An abundance of research exists related to student and school factors that influence student achievement; however, due to the increase in value-added assessment models and the number of states that are instituting such models, there is a significant need to investigate school characteristics and programs that promote academic growth as measured…

This dissertation explores fifth and eighth grade students' interpretations of three kinds of mathematical representations: number lines, the Cartesian plane, and graphs of linear functions. Two studies were conducted. In Study 1, I administered the paper-and-pencil Linear Representations Assessment (LRA) to examine students'…