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'…

Due to the challenges of the No Child Left Behind Act of 2001, many schools and school districts are implementing after-school tutoring programs to provide students additional instruction to score proficient or better in reading and mathematics. This doctoral study analyzed the effects of the ABC Middle School Educational Assistance Program…