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Linear Nearest Neighbor Flocks With All Distinct Agents, Robert G. Lyons
Linear Nearest Neighbor Flocks With All Distinct Agents, Robert G. Lyons
Dissertations and Theses
This dissertation analyzes the global dynamics of 1-dimensional agent arrays with nearest neighbor linear couplings. The equations of motion are second order linear ODE's with constant coefficients. The novel part of this research is that the couplings are different for each agent. We allow the forces to depend on the relative position and relative velocity (damping terms) of the agents, and the coupling magnitudes differ for each agent. Further, we do not assume that the forces are "Newtonian'" (i.e., the force due to A on B equals minus the force of B on A) as this assumption does not apply …
Seventh Grade Mathematics Results In A Standards-Based Learning Environment: Examining Teacher Collaboration And Leadership, Demetria C. Moon
Seventh Grade Mathematics Results In A Standards-Based Learning Environment: Examining Teacher Collaboration And Leadership, Demetria C. Moon
Dissertations and Theses
The pressure on schools to improve student performance in middle school mathematics combined with the movement towards standards-based instruction leaves teachers searching for the most effective instructional practice and administration examining their role in improvement efforts. This study examines the effect on student achievement in middle school mathematics as a function of the quality of teacher collaboration interacting with administration presence during collaboration. This study used a quantitative research design in which seventh-grade mathematics teachers from two different middle schools in the same district with similar demographics taught the same standards-based unit of study and administered a common summative assessment …