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Louisiana State University

Theses/Dissertations

2016

Mathematics

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Investigating Curriculum Use And Its Impact On Teachers And Their Practice, Tiah B. Alphonso Jan 2016

Investigating Curriculum Use And Its Impact On Teachers And Their Practice, Tiah B. Alphonso

LSU Doctoral Dissertations

This study provided insights into how upper elementary teachers from three southern school districts used standards based curriculum materials and the resulting changes in their beliefs, knowledge, and practice. Additionally, this study sought to identify whether the following four factors were predictors of change in teacher practice: coherence of the professional development program, opportunities to collaborate, years of teaching experience, and curriculum use. The participating school districts were selected through purposeful sampling with districts being chosen largely based on a strong commitment to implementing Eureka Math in their schools. For comparison purposes, a contrast school district was also included in …


Cluster Algebras And Maximal Green Sequences For Closed Surfaces, Eric Bucher Jan 2016

Cluster Algebras And Maximal Green Sequences For Closed Surfaces, Eric Bucher

LSU Doctoral Dissertations

Given a marked surface (S,M) we can add arcs to the surface to create a triangulation, T, of that surface. For each triangulation, T, we can associate a cluster algebra. In this paper we will consider orientable surfaces of genus n with two interior marked points and no boundary component. We will construct a specific triangulation of this surface which yields a quiver. Then in the sense of work by Keller we will produce a maximal green sequence for this quiver. Since all finite mutation type cluster algebras can be associated to a surface, with some rare exceptions, this work …