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Full-Text Articles in Physical Sciences and Mathematics
Cluster Algebras And Maximal Green Sequences For Closed Surfaces, Eric Bucher
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 …
Writing In The Geometry Classroom, Amy Lynn Rome
Writing In The Geometry Classroom, Amy Lynn Rome
LSU Master's Theses
This study sought a time-efficient way to implement writing in ninth-grade Geometry. Students wrote responses to five expository writing prompts spread out over the spring semester of the 2014-2015 school year. Students’ first attempts were graded and returned to them along with feedback in the form of a teacher-written exemplar. Students rewrote assignments to improve their grades. All first and second attempts were collected and evaluated. We found that students were more successful after seeing the exemplar. Moreover, on assignments occurring later in the semester, more students were able to score in the top categories of the writing assignments on …
Metacognition And Its Effect On Learning High School Calculus, Bonnie Sue Bergstresser
Metacognition And Its Effect On Learning High School Calculus, Bonnie Sue Bergstresser
LSU Master's Theses
The following paper discusses the effect of metacognitive training sessions on students’ calculus retention. Students in two high school classes participated. The students in both classes were then given lessons on a chapter without metacognitive training and lessons on a subsequent chapter with training in a set of metacognitive skills. After the latter chapter students scored higher on a post-test and expressed desire to incorporate the skills they learned into their other classes.
Exploring Student Perseverance In Problem Solving, Angelique Renee (Treadway) Duncker
Exploring Student Perseverance In Problem Solving, Angelique Renee (Treadway) Duncker
LSU Master's Theses
ABSTRACT Many high school Geometry students lack the perseverance required to complete complex and time-consuming problems. This project tests the hypothesis that if students were provided with a means of organizing their problem solving work they will be less apt to quit when faced with complex and time-consuming mathematical problems. This study involved students enrolled in 10th grade Geometry and 10th grade Honors Geometry in two similar high schools. After trying unsuccessfully to implement methods adapted from an engineering workshop, I designed a graphic organizer that was simple to use and acceptable to the students. Ultimately, I did not detect …
Determining Impact: Using Formative Evaluation In A Professional Development Program For Teachers Of Mathematics And Science, Tiah B. Alphonso
Determining Impact: Using Formative Evaluation In A Professional Development Program For Teachers Of Mathematics And Science, Tiah B. Alphonso
LSU Master's Theses
The purpose of this study was to evaluate a professional development (PD) program for middle and high school teachers of mathematics and science which is funded by a $5 million National Science Foundation grant. The evaluation was internal and formative in nature and took place in two separate phases. The focus of the evaluation was not only on program improvement but also to extend the body of existing knowledge in the area of teacher professional development. Both the needs of project stakeholders and the findings of previous research in the areas of professional development and program evaluation were drawn on …
Artin-Schreier Families And 2-D Cycle Codes, Cem Guneri
Artin-Schreier Families And 2-D Cycle Codes, Cem Guneri
LSU Doctoral Dissertations
We start with the study of certain Artin-Schreier families. Using coding theory techniques, we determine a necessary and sufficient condition for such families to have a nontrivial curve with the maximum possible number of rational points over the finite field in consideration. This result produces several nice corollaries, including the existence of certain maximal curves; i.e., curves meeting the Hasse-Weil bound.We then present a way to represent two-dimensional (2-D) cyclic codes as trace codes starting from a basic zero set of its dual code. This representation enables us to relate the weight of a codeword to the number of rational …
Period Relations For Picard Integrals Defined On A Special Class Of Kaehler Manifolds., Joseph Clement Wilson
Period Relations For Picard Integrals Defined On A Special Class Of Kaehler Manifolds., Joseph Clement Wilson
LSU Historical Dissertations and Theses
No abstract provided.
A Necessary And Sufficient Condition That A Set Be Homeomorphic To A Plane Region Bounded By A Finite Number Of Nonintersecting Circles., Robert Lloyd Broussard
A Necessary And Sufficient Condition That A Set Be Homeomorphic To A Plane Region Bounded By A Finite Number Of Nonintersecting Circles., Robert Lloyd Broussard
LSU Historical Dissertations and Theses
No abstract provided.
The Field Of Values Of A Matrix., John Cecil Currie
The Field Of Values Of A Matrix., John Cecil Currie
LSU Historical Dissertations and Theses
No abstract provided.
Foundations Of Differential Geometry., Frank Atkinson Rickey
Foundations Of Differential Geometry., Frank Atkinson Rickey
LSU Historical Dissertations and Theses
No abstract provided.