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Exploration of college students' problem solving behaviors while verifying trigonometric identities : A mixed method case study
(2013-07)
Topics in trigonometry have not been well-studied, especially with college-level students. Thus, despite providing a venue for important concepts such as notions of proof and algebraic skill, the process of verifying ...
Case studies of instructional practices in proof-based mathematics lectures
(2013-07)
This multi-case study investigates the teaching practices of four instructors who were teaching undergraduate level proof-based mathematics courses using lecture methods. Both interview data with the instructors and several ...
Study on the global regularity for two-dimensional magnetohydrodynamic and Boussinesq equations
(2013-07)
Whether the classical solutions of two-dimensional incompressible ideal MHD equations or inviscid Boussinesq equations can develop a finite time singularity or globally regular for all time from smooth initial data with ...
2D Boussinesq equations with logarithmically super-critical conditions
(2013-07)
This thesis focuses on the regularity problem of two generalized two dimensional Boussinesq equations. The first model contains the critical level of diffusion and a double logarithmically super-critical velocity. The ...