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Fully Coupled Fluid And Electrodynamic Modeling Of Plasmas: A Two-Fluid Isomorphism And A Strong Conservative Flux-Coupled Finite Volume Framework, Richard Joel Thompson Aug 2013

Fully Coupled Fluid And Electrodynamic Modeling Of Plasmas: A Two-Fluid Isomorphism And A Strong Conservative Flux-Coupled Finite Volume Framework, Richard Joel Thompson

Doctoral Dissertations

Ideal and resistive magnetohydrodynamics (MHD) have long served as the incumbent framework for modeling plasmas of engineering interest. However, new applications, such as hypersonic flight and propulsion, plasma propulsion, plasma instability in engineering devices, charge separation effects and electromagnetic wave interaction effects may demand a higher-fidelity physical model. For these cases, the two-fluid plasma model or its limiting case of a single bulk fluid, which results in a single-fluid coupled system of the Navier-Stokes and Maxwell equations, is necessary and permits a deeper physical study than the MHD framework. At present, major challenges are imposed on solving these physical models …


The Impact Of Analyzing Correct Versus Incorrect Student Work Samples On Students’ Learning Mathematics, Lauren Jeneva Moseley May 2013

The Impact Of Analyzing Correct Versus Incorrect Student Work Samples On Students’ Learning Mathematics, Lauren Jeneva Moseley

Doctoral Dissertations

The purposes of this study are to determine if learning differs when calculus learners analyze correct or incorrect work samples and to investigate students’ perceptions of the effect of analyzing work samples on their learning of mathematics. Calculus students were randomly assigned to two groups: one group analyzing correct work samples and one group analyzing incorrect work samples. Data from enrollees in 10 sections of Basic Calculus at a large university was analyzed using ANCOVA, independent-samples t-test, and inductive analysis (Hatch, 2002). Results suggest that when students analyze incorrect work samples of moderate difficulty, they are less likely to …


What Do Students Do In Self-Formed Mathematics Study Groups?, Gillian E. Galle Jan 2013

What Do Students Do In Self-Formed Mathematics Study Groups?, Gillian E. Galle

Doctoral Dissertations

An implicit assumption of many university classes is that students will spend a large amount of time outside the classroom refining their understanding of the material to develop mastery of the concepts. This is especially true in first year mathematics courses at the undergraduate level. However, little is known about what students do to fulfill this didactical contract with their instructors. The currently available research relies primarily on self-reported data from the students collected through questionnaires or interviews. This study sought to start describing what students do while studying mathematics in a self-created group outside of the classroom setting through …


The Multifaceted Nature Of Mathematics Knowledge For Teaching: Understanding The Use Of Teachers' Specialized Content Knowledge And The Role Of Teachers' Beliefs From A Practice-Based Perspective, Lauren E. Provost Jan 2013

The Multifaceted Nature Of Mathematics Knowledge For Teaching: Understanding The Use Of Teachers' Specialized Content Knowledge And The Role Of Teachers' Beliefs From A Practice-Based Perspective, Lauren E. Provost

Doctoral Dissertations

This work investigates middle school teachers' mathematics knowledge for teaching (MKT) as defined by Hill (2007). Within this two-part dissertation, the level of MKT was considered as well as the role of teacher beliefs in actual specialized content knowledge (SCK) use, a specific type of mathematics knowledge for teaching vital in quality mathematics instruction. Additionally, the model of MKT knowledge was explored through confirmatory factor analysis on a large, national dataset of middle school mathematics teacher survey responses involving mathematics knowledge for teaching. SCK was found to be vital in quality mathematics instruction yet not sufficient. Teacher beliefs about the …