State mathematical frameworks such as the one from California highlight slope and the Cartesian connection as important topics in the K-12 mathematics curriculum. Previous research has shown that despite the importance of these topics students continue to struggle with them during their time in high school. Using pairs of beginning algebra students, I collected audio and video data while they worked on a series of multiple representations or traditional tasks. The tasks were created specifically for this study, the problems for which were devised using the students' high school curriculum. This study takes a first step in examining how students think about these concepts while in the midst of working on these tasks. I found that students understand the Cartesian connection from two perspectives, while they understand slope as a number in five different ways.After having been in their beginning algebra class for most of the year, it would be expected that these students would know how to plot points, graph linear equations, and find the slope of lines. On the surface, the Cartesian connectionanbsp;...
|Title||:||Coming to Understand Slope and the Cartesian Connection|
|Author||:||Joseph John Reiken|
|Publisher||:||ProQuest - 2008|