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Proceedings Of The Eighth Annual Meeting Of The Georgia Association Of Mathematics Teacher Educators Introductory Texts

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

• GAMTE 2014 Officers
• GAMTE 2014 Conference Committee
• GAMTE 2014 Proceedings Committee
• Purposes and Goals of GAMTE
• Letter from the President

A Proposed Pedagogical Approach For Preparing Teacher Candidates To Incorporate (Academic) Language, Woong Lim, Lynn Stallings

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

The edTPA is a performance-based assessment that aims to measure teacher candidates’ readiness for teaching. Beginning in the fall of 2015, this assessment will be a mandatory requirement for those seeking certification in Georgia. General agreement exists in the field of education about the basic knowledge and skills essential for beginning teachers to demonstrate in classroom teaching. Does edTPA measure the knowledge and skills essential for beginning mathematics teachers in particular? Assuming that edTPA can successfully measure that knowledge and skills for beginning teachers, the use of the assessment could be valuable.

One of the critical components of edTPA is …

Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Differences In Beliefs Across A Series Of Four Mathematics Content Courses, Susanna Molitoris Miller, Caitlin Walkey

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

College students often ask questions such as, “Why do I have to take this class? Is there a point to it?” For Early Childhood Education (ECE) majors these questions may often take on a slightly different form, wondering, “How can I incorporate this information into my classroom?” or “Do I understand this well enough to teach this to my students?” It is especially important for pre- service teachers to feel confident working with the mathematical content that they are learning and for them to believe that they can successfully teach that same information to a group of students. Swackhamer, Koellner, …

Do You See What I See? Deepening Teachers’ Understanding Of Linear Equations Through Student Interviews, Tamara Pearson, Kelli L. Nipper, Catherine Matos

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

Many teachers have trouble transitioning their students between natural recursive thinking about the data and algebraic notation for representing linear functions (Zazkis & Liljedahl, 2002).

In this study, we interviewed eighteen middle school students to see how they used prior instruction to think about a geometric pattern and construct its corresponding linear equation. All students

were given the same task to complete and were questioned about their thinking during the interview.

We found that the recording of pattern recognition plays a substantial part in helping students recognize and write explicit patterns. By having students decompose the total perimeter into how …

Caep, Nctm, And Secondary Mathematics Program Revisions, Dianna J. Spence

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

Eight assessments were developed for CAEP (formerly NCATE) and NCTM recognition of our secondary mathematics program. These assessments include internship work samples, field evaluations, and candidate portfolios addressing content knowledge, pedagogical methods, and mathematics technology. Based on data collected from these assessments, alongside ongoing evaluation of the program, several curriculum and program revisions were implemented, including: 1) development of mathematics content-specific courses in classroom management, assessment, and secondary curriculum; 2) restructuring of a senior seminar course in mathematics education; and 3) an increased content focus in probability and statistics. The adoption of new NCTM standards in the CAEP review process …

A Mathematics Teacher’S Journey Of Identity Construction And Change, Anthony B. Stinson

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

Despite some gains, improving mathematics instruction remains an area of concern in the United States. The implementation of the Common Core Standards and the challenge of teaching the 21st Century student require mathematics teachers to examine their pedagogy to determine if they need to change or improve their practices. This paper provides a personal account of my journey when determining my identity as a mathematics teacher and how constructing my identity helped in changing and improving my practices as a mathematics teacher. The study was done using autoethnography, a burgeoning research method, and identity theory. This study has the goals …

2014 Georgia Southern Football Full Media Guide, Georgia Southern University

Men's Football Records

• Georgia Southern Football 2014 Information Guide

Georgia Southern University Fact Book, Georgia Southern University

Georgia Southern Fact Books (1976-2022)

No abstract provided.

2014-2015 Senate, Senate Committee, And University Committee Membershiip, Georgia Southern University

Faculty Senate: Membership Lists

No abstract provided.

At A Glance: Georgia Southern University

Georgia Southern at a Glance (2011-2016)

No abstract provided.

Tybee Island: Historic Homes And Flood Insurance Rates, Nicolette Pistone, Annie Williams, Erica Carter

Georgia Municipal Association Practicum (2013-2022)

No abstract provided.

Star Formation And The Interstellar Medium In Nearby Tidal Streams (Saints): Spitzer Mid-Infrared Spectroscopy And Imaging Of Intergalactic Star-Forming Objects, Sarah J.U. Higdon, James L. Higdon, B. J. Smith, M. Hancock

Physics & Astronomy: Faculty Publications

A spectroscopic analysis of 10 intergalactic star-forming objects (ISFOs) and a photometric analysis of 67 ISFOs in a sample of 14 interacting systems is presented. The majority of the ISFOs have relative polycyclic aromatic hydrocarbon (PAH) band strengths similar to those of nearby spiral and starburst galaxies. In contrast to what is observed in blue compact dwarfs (BCDs) and local giant H ii regions in the Milky Way (NGC 3603) and the Magellanic Clouds (30 Doradus and N 66), the relative PAH band strengths in ISFOs correspond to models with a significant PAH ion fraction (3.7, i.e., enhanced non-stellar emission, …

Generating Surfaces Of Variable Eccentricity Within A Ray Tracer, Joshua A. Smith

College of Graduate Studies: Theses & Dissertations

Polynomial surfaces used in ray tracing have recently been improved upon allowing for three dimensional applications. Among these are surfaces that have a varying eccentricity. This paper will discuss a method for finding real roots of polynomials [allowing us to create these surfaces]. First, we will give the reader a basic comprehension of the workings of a ray tracer, a general understanding of three dimensional polynomial surfaces, how this newly implemented root finder functions, and how these concepts enable us to create surfaces of variable eccentricity. Then, examples will be provided to demonstrate the capabilities of the program.

Classworks As A Means To Gaining Equity In The General Education Math Classroom: Perceptions Of Students Receiving Special Education Services, Diane Marshall

College of Graduate Studies: Theses & Dissertations

With the importance of math steadily increasing, researchers in the field of special education have made efforts to increase the performance of students with disabilities (Fuchs et al., 2008; Gersten, Jordan, & Flojo, 2005). Despite the deficits these students face, the trend has been for many years that most students with disabilities in math receive their instruction in the general education classroom. The purpose of this study was to examine the perceptions that students receiving special education services have regarding the effectiveness of Classworks, a computer-assisted instructional program, in helping them gain equity in the general education math classroom. Critical …

Selection Of Step Size For Total Variation Minimization In Ct, Anna N. Yeboah

College of Graduate Studies: Theses & Dissertations

Medical image reconstruction by total variation minimization is a newly developed area in computed tomography (CT). In compressed sensing literature, it hasbeen shown that signals with sparse representations in an orthonormal basis may be reconstructed via l1-minimization. Furthermore, if an image can be approximately modeled to be piecewise constant, then its gradient is sparse. The application of l1-minimization to a sparse gradient, known as total variation minimization, may then be used to recover the image. In this paper, the steepest descent method is employed to update the approximation of the image. We propose a way to estimate an optimal step …

Precise Partitions Of Large Graphs, Pouria Salehi Nowbandegani

College of Graduate Studies: Theses & Dissertations

First by using an easy application of the Regularity Lemma, we extend some known results about cycles of many lengths to include a specified edge on the cycles. The results in this chapter will help us in rest of this thesis. In 2000, Enomoto and Ota posed a conjecture on the existence of path decomposition of graphs with fixed start vertices and fixed lengths. We prove this conjecture when |G| is large. Our proof uses the Regularity Lemma along with several extremal lemmas, concluding with an absorbing argument to retrieve misbehaving vertices. Furthermore, sharp minimum degree and degree sum conditions …

An Investigation Of Sensitivity Of An F Test In Locating Change Points In Linear Regression, Jing Sun

College of Graduate Studies: Theses & Dissertations

Change point is a statistic phenomenon, which has many direct applications in climatology, bioinformatics, finance, oceanography and medical imaging. In this thesis, we investigate the sensitivity of the F-test for detecting change points in linear regression, using a two-phase linear regression model. it offers an effective method to detect "undocumented" change points using a form of an F-test. Using simulated data, we explore its sensitivity and accuracy with respect t different parameters in the model.

Neuromodulation Based Control Of Autonomous Robots On A Cloud Computing Platform, Cameron Muhammad

College of Graduate Studies: Theses & Dissertations

In recent years, the advancement of neurobiologically plausible models and computer networking has resulted in new ways of implementing control systems on robotic platforms. The work presents a control approach based on vertebrate neuromodulation and its implementation on autonomous robots in the open-source, open-access environment of robot operating system (ROS). A spiking neural network (SNN) is used to model the neuromodulatory function for generating context based behavioral responses of the robots to sensory input signals. The neural network incorporates three types of neurons- cholinergic and noradrenergic (ACh/NE) neurons for attention focusing and action selection, dopaminergic (DA) neurons for rewards- and …

An Examination Of The Correlation Between The Seven Critical Leadership Functions And Middle School African-American And Hispanic Student Achievement, Shannon A. Flounnory

College of Graduate Studies: Theses & Dissertations

This quantitative study examined possible correlations between each of the seven critical leadership functions and achievement in the areas of mathematics for eighth grade African-American and Hispanic students. The 117 participants included school leaders and students from 12 of the 19 middle schools in a metropolitan school district in the southeastern region of the United States. Principals from the middle schools in the district distributed the Critical Leadership Functions Questionnaire to members of their leadership team (e.g., assistant principals, school counselors, department chairs, etc.). CRCT scores measured student achievement. The researcher conducted a correlation study, using Pearson’s multivariable correlation data …

Comparing K Population Means With No Assumption About The Variances, Tony Yaacoub

College of Graduate Studies: Theses & Dissertations

In the analysis of most statistically designed experiments, it is common to assume equal variances along with the assumptions that the sample measurements are independent and normally distributed. Under these three assumptions, a likelihood ratio test is used to test for the difference in population means. Typically, the assumption of independence can be justified based on the sampling method used by the researcher. The likelihood ratio test is robust to the assumption of normality. However, the equality of variances is often difficult to justify. It has been found that the assumption of equal variances cannot be made even after transforming …

Structure Vs. Properties Using Chemical Graph Theory, Tabitha N. Williford

College of Graduate Studies: Theses & Dissertations

Chemical graph theory began as a way for mathematicians to bring together the areas of the Physical Sciences and Mathematics. Through its use, mathematicians are able to model chemical systems, predict their properties as well as structure-property relationships. In this dissertation, we consider two questions involving chemical graph theory and its applications. We first look at tree-like polyphenyl systems, which form an important family of compounds in Chemistry, particularly in Material Science. The importance can be seen in LEDs, transmitters, and electronics. In recent years, many extremal results regarding such systems under specific constraints have been reported. More specifically are …

Elements Of Convergence Approach Theory, William D. Trott

College of Graduate Studies: Theses & Dissertations

We introduce two generalizations to convergence approach spaces of classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other. Characterizations are obtained for two alternative extensions of reg- ularity to convergence-approach spaces: regularity and strong regularity. Along the way, we give a brief overview of the theory of convergence spaces and of convergence approach spaces.

Afraid To Be A Nerd: Effects Of Nerd Stereotypes On Women’S Math Performance, Jennifer Chau

College of Graduate Studies: Theses & Dissertations

The purpose of this research was to examine whether nerd stigma affects math performance. Specifically, it was hypothesized that women exposed to the nerd stigma would perform worse on a mathematics test than women not exposed to the nerd stigma. The current study also aimed to compare the effects of the nerd stigma on women’s math performance with the effects of gender stereotype threat. Gender identity, nerd identity, and fear of social exclusion were examined as possible mediating and moderating variables. Results did not support that nerd stigma affected math performance in either men or women, thus mediational analyses were …

Adaptive State Feedback Control Of Lorenz Systems To Its Non-Trivial Equilibrium, Anh V. Tran

College of Graduate Studies: Theses & Dissertations

The complex Lorenz system is a simplified nonlinear dynamical system, which is derived from the Navier-Stokes equations that govern a closed thermal convection loop. The Lorenz system is chaotic for large Rayleigh number. In this chaotic regime, we implement a linear state feedback controller to stabilize the state trajectory at its original nontrivial equilibrium. The state variable for feedback is easily measurable. The system is proved to be globally asymptotically stable with a optimal feedback gain. The stability bound is improved over the previous result. We also established globally stability of the adaptively control system, where the system parameters are …

Curiosity Killed The Cat: Investigating A Link Between Curiosity And Risk-Taking Propensity, Carolyn E. Gibson

College of Graduate Studies: Theses & Dissertations

Curiosity, or the drive for information and experiences that motivates exploration, plays a role in intellectual development. Curiosity is perhaps essential to education and intellectual achievement, but curiosity research is limited. Curiosity has been thought a motivation for learning and a cause of non-sanctioned behaviors and behavioral disorders. This prompts a connection with decision-making, specifically risky decision-making, perhaps with curiosity as a motivating force. In Experiment 1, college students were primed with curiosity, then participated in a lab-based behavioral measure of risk-taking, the Balloon Analogue Risk Task, and answered self-report inventories concerning risk-taking and curiosity. In Experiment 2, 4th and …

Epistasis In Predator-Prey Relationships, Iuliia Inozemtseva

College of Graduate Studies: Theses & Dissertations

Epistasis is the interaction between two or more genes to control a single phenotype. We model epistasis of the prey in a two-locus two-allele problem in a basic predator- prey relationship. The resulting model allows us to examine both population sizes as well as genotypic and phenotypic frequencies. In the context of several numerical examples, we show that if epistasis results in an undesirable or desirable phenotype in the prey by making the particular genotype more or less susceptible to the predator or dangerous to the predator, elimination of undesirable phenotypes and then genotypes occurs.

A Constructive Proof Of The Borel-Weil Theorem For Classical Groups, Kostiantyn Timchenko

College of Graduate Studies: Theses & Dissertations

The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (``Theorem of the Highest Weight''). In this thesis we turn the tables and show that, at least in the case of the classical groups $G = U(n)$, $SO(n)$ and $Sp(2n)$, the Borel-Weil construction can be used to quite explicitly prove existence of an irreducible representation having highest weight $\lambda$, for each dominant integral form $\lambda$ on the Lie algebra of a maximal torus of $G$.

Statistical Analysis Of Unreplicated Factorial Designs Using Contrasts, Meixi Yang

College of Graduate Studies: Theses & Dissertations

Factorial designs can have a large number of treatments due to the number of factors and the number of levels of each factor. The number of experimental units required for a researcher to conduct a $k$ factorial experiment is at least the number of treatments. For such an experiment, the total number of experimental units will also depend on the number of replicates for each treatment. The more experimental units used in a study the more the cost to the researcher. The minimum cost is associated with the case in which there is one experimental unit per treatment. That is, …

The Screen Speaks: Disability, Media & Schooling, Alicia S. Campbell

College of Graduate Studies: Theses & Dissertations

As society becomes more technological on a daily basis, we are heavily influenced by the steady influx of information we receive from various types of media. This dissertation will investigate the relationship between our investments with popular media, particularly film, and with teachers’ perceptions of students with disabilities in secondary schools. I will first look at how disability is viewed in society, discussing both the more traditional models that are moral, medical and rehabilitative in nature and the more contemporary social model. I will explore the history of disability in society, schooling, and film and uncover patterns that illustrate the …