Barrett, The Honors College Thesis/Creative Project Collection

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2012 2017

My Barrett Honors Thesis Paper synthesizes three components of my Thesis Project, which demonstrates the process of developing strong research from the beginning stage of investigation of a problem to implementation of an intervention to address that problem. Specifically, I engaged in research on the topic of mathematics and students with autism spectrum disorders (ASD). My review of the literature demonstrated a current dearth in the knowledge on effective interventions in math for this population of students. As part of my project, I developed and implemented an intervention to address the problem and help improve the knowledge base in the ...

Contributors
Cleary, Shannon Taylor, Barnett, Juliet, Farr, Wendy, et al.
Created Date
2015-12

Mathematics education, defined briefly by both students’ understanding and teacher instruction, is a cause for concern in the United States. A 1998 comprehensive study conducted by The Third International Mathematics and Science Study (TIMSS) shows that preadolescent mathematics education is comparatively less effective in this country than it is in other countries. The purposes of the present investigation were to understand why mathematics education has its short-comings in the United States, to analyze the most effective ways to help middle grade students learn mathematics, and to examine instructional methods for improving student understanding. The focus is on effective instructional methods ...

Contributors
Patel, Jay Narendra, Brass, Amber, White, Darcy, et al.
Created Date
2013-05

Dividing the plane in half leaves every border point of one region a border point of both regions. Can we divide up the plane into three or more regions such that any point on the boundary of at least one region is on the border of all the regions? In fact, it is possible to design a dynamical system for which the basins of attractions have this Wada property. In certain circumstances, both the Hénon map, a simple system, and the forced damped pendulum, a physical model, produce Wada basins.

Contributors
Whitehurst, Ryan David, Kostelich, Eric, Jones, Donald, et al.
Created Date
2013-05
Contributors
McKee, Emily, Sande, V. Carla, Ashbrook, Mark, et al.
Created Date
2012-12

Identifying associations between genotypes and gene expression levels using next-generation technology has enabled systematic interrogation of regulatory variation underlying complex phenotypes. Understanding the source of expression variation has important implications for disease susceptibility, phenotypic diversity, and adaptation (Main, 2009). Interest in the existence of allele-specific expression in autosomal genes evolved with the increased awareness of the important role that variation in non-coding DNA sequences can play in determining phenotypic diversity, and the essential role parent-of-origin expression has in early development (Knight, 2004). As new implications of high-throughput sequencing are conceived, it is becoming increasingly important to develop statistical methods tailored ...

Contributors
Malenica, Ivana, Craig, David, Rosenberg, Michael, et al.
Created Date
2012-12

Many programmable matter systems have been proposed and realized recently, each often tailored toward a particular task or physical setting. In our work on self-organizing particle systems, we abstract away from specific settings and instead describe programmable matter as a collection of simple computational elements (to be referred to as particles) with limited computational power that each perform fully distributed, local, asynchronous algorithms to solve system-wide problems of movement, configuration, and coordination. In this thesis, we focus on the compression problem, in which the particle system gathers as tightly together as possible, as in a sphere or its equivalent in ...

Contributors
Daymude, Joshua Jungwoo, Richa, Andrea, Kierstead, Henry, et al.
Created Date
2016-05

There are two types of understanding when it comes to learning math: procedural understanding and conceptual understanding. I grew up with a rigorous learning curriculum and learned math through endless drills and practices. I was less motivated to understand the reason behind those procedures. I think both types of understanding are equally important in learning mathematics. Procedural fluency is the “ability to apply procedures accurately, efficiently, and flexibly… to build or modify procedures from other procedures” (National Council of Teachers of Mathematics, 2015). Procedural understanding may perceive as merely about the understanding of the arithmetic and memorizing the steps with ...

Contributors
Leung, Miranda Wing-Mei, Kurz, Terri, Walters, Molina, et al.
Created Date
2015-12

A working knowledge of mathematics is a vital requirement for introductory university physics courses. However, there is mounting evidence which shows that many incoming introductory physics students do not have the necessary mathematical ability to succeed in physics. The investigation reported in this thesis used preinstruction diagnostics and interviews to examine this problem in depth. It was found that in some cases, over 75% of students could not solve the most basic mathematics problems. We asked questions involving right triangles, vector addition, vector direction, systems of equations, and arithmetic, to give a few examples. The correct response rates were typically ...

Contributors
Jones, Matthew Isaiah, Meltzer, David, Peng, Xihong, et al.
Created Date
2016-12

Division of Labor among social insects is frequently discussed in regards to the colony’s worker population. However, before a colony achieves a worker population, a queen is required to perform all of the tasks necessary for her survival: foraging, building the colony, and brood care. A simple ODE model was developed through the use of a framework of replicator equations in dynamical environments to investigate how queen ants perform and distribute all of the tasks necessary for her and her colony’s survival by incorporating individual internal thresholds and environmental stimulus. Modifications to the internal threshold, risk of performing the task, ...

Contributors
Kincade, Katherine Margaret, Kang, Yun, Fewell, Jennifer, et al.
Created Date
2016-12

Analytic research on basketball games is growing quickly, specifically in the National Basketball Association. This paper explored the development of this analytic research and discovered that there has been a focus on individual player metrics and a dearth of quantitative team characterizations and evaluations. Consequently, this paper continued the exploratory research of Fewell and Armbruster’s “Basketball teams as strategic networks” (2012), which modeled basketball teams as networks and used metrics to characterize team strategy in the NBA’s 2010 playoffs. Individual players and outcomes were nodes and passes and actions were the links. This paper used data that was recorded from ...

Contributors
Mohanraj, Hariharan, Choi, David, Armbruster, Dieter, et al.
Created Date
2013-05

Barrett, the Honors College accepts high performing, academically engaged students and works with them in collaboration with all of the other academic units at Arizona State University. All Barrett students complete a thesis or creative project, supervised and defended in front of a faculty committee. The thesis or creative project allows students to explore an intellectual interest and produce an original piece of scholarly research. The thesis or creative project is a student’s opportunity to explore areas of academic interest with greater intensity than is possible in a single course. It is also an opportunity to engage with professors, nationally recognized in their fields and specifically interested and committed to working with honors students. This work provides tangible evidence of a student’s research, writing and creative skills to graduate schools and/or prospective employers.