Education Commons^™

Log-Concavity And Symplectic Rows, Yi Lin, Álvaro Pelayo

Mathematical Sciences: Faculty Publications

The Duistermaat-Heckman measure of a Hamiltonian torus action on a symplectic manifold (M,ω) is the push forward of the Liouville measure on M by the momentum map of the action. In this paper we prove the logarithmic concavity of the Duistermaat-Heckman measure of a complexity two Hamiltonian torus action, for which there exists an effective commuting symplectic action of a 2-torus with symplectic orbits. Using this, we show that given a complexity two symplectic torus action satisfying the additional 2-torus action condition, if the fixed point set is non-empty, then it has to be Hamiltonian. This implies a classical result …

The Log-Generalized Lindley-Weibull Distribution With Applications, Broderick O. Oluyede, Fedelis Mutiso, Shujiao Huang

Mathematical Sciences: Faculty Publications

A new distribution called the log generalized Lindley-Weibull (LGLW) distribution for modeling lifetime data is proposed. This model further generalizes the Lindley distribution and allows for hazard rate functions that are monotonically decreasing, monotonically increasing and bathtub shaped. A comprehensive investigation and account of the mathematical and statistical properties including moments, moment generating function, simulation issues and entropy are presented. Estimates of model parameters via the method of maximum likelihood are given. Real data examples are presented to illustrate the usefulness and applicability of this new distribution.

A Generalized Class Of Kumaraswamy Lindley Distribution With Applications To Lifetime Data, Broderick O. Oluyede, Tiantian Yang, Bernard Omolo

Mathematical Sciences: Faculty Publications

In this paper, we propose a new class of generalized distributions called the Exponentiated Kumaraswamy Lindley (EKL) distribution, as well as related sub-distributions. This class of distributions contains the Kumaraswamy Lindley (KL), generalized Lindley (GL), and Lindley (L) distributions as special cases. A series expansion of the density is obtained. Statistical properties of this class of distributions, including the hazard and reverse hazard functions, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived among others. The method of maximum likelihood is adopted for estimating the model parameters. Two applications to …

A New Class Of Generalized Power Lindley Distribution With Applications To Lifetime Data, Marvis Pararai, Gayan Warahena-Liyanage, Broderick O. Oluyede

Mathematical Sciences: Faculty Publications

A new class of distribution called the beta-exponentiated power Lindley (BEPL) distribution is proposed. This class of distributions includes the Lindley (L), exponentiated Lindley (EL), power Lindley (PL), exponentiated power Lindley (EPL), beta-exponentiated Lindley (BEL), beta-Lindley (BL), and beta-power Lindley distributions (BPL) as special cases. Expansion of the density of BEPL distribution is obtained. Some mathematical properties of the new distribution including hazard function, reverse hazard function, moments, mean deviations, Lorenz and Bonferroni curves are presented. Entropy measures and the distribution of the order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters. Finally, …

New Families Of Weighted Sum Formulas For Multiple Zeta Values, Yuan Zhao, Jianqiang Zhao

Mathematical Sciences: Faculty Publications

In this paper we use the generating functions and the double shuffle relations satisfied by the multiple zeta values to derive some new families of identities.

A Family Of Multiple Harmonic Sum And Multiple Zeta Star Value Identities, Erin Linebarger, Jianqiang Zhao

Mathematical Sciences: Faculty Publications

In this paper we present a new family of identities for multiple harmonic sums which generalize a recent result of Hessami Pilehrood et al [Trans. Amer. Math. Soc. (to appear)]. We then apply it to obtain a family of identities relating multiple zeta star values to alternating Euler sums. In such a typical identity the entries of the multiple zeta star values consist of blocks of arbitrarily long 2-strings separated by positive integers greater than two while the largest depth of the alternating Euler sums depends only on the number of 2-string blocks but not on their lengths.

Introductory Texts, Georgia Association Of Mathematics Teacher Educators

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

Coverpage

GAMTE Information

Letter from the President

Table of Contents

Paper 1: Engaging In Lesson Study At Georgia College, Angel R. Abney, Brandon Samples, Doris Santarone

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

A lesson study cycle is a professional development process that integrates research and reflection through collaboration. The cycle allows a group to refine a lesson based on these collaboration efforts such as interaction with students and the post-lesson discussion. Secondary pre-service teachers in a mathematics methods course engaged in a lesson study cycle through collaboration between in-service teachers, Georgia College professors, and students in a local high school classroom. We systematically investigated this process to determine that through preparing, enacting and reflecting on their practice, Pre-service Teachers (PST) developed insight, reasoning, and understanding of the mathematics that they taught.

Paper 2: Using Ti-Nspire To Engage Preservice Mathematics Teachers In An Exploratory Geometry Module, Alesia D. Mickle, Pier A. Junor Clarke

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference (2007-2019)

In the mathematics classroom, most preservice mathematics teachers possess basic skills to use technology as an instructional strategy in communicating content standards. However, today’s demands for preservice teachers to engage in a variety of “best teaching practices” in their preservice teaching and edTPA requirements can oftentimes place the acquisition of technical skills and integration of new technology in content curriculum far from the forefront of their minds. Ertmer, Conklin, Lewandowski, Osika, Selo, and Wignall (2003) acknowledged preservice teachers’ desires to gain the adequate technical skills necessary to use technology in teachers’ daily tasks of facilitating and managing their classrooms. They …

Introductory Texts

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

• GAMTE 2015 Officers
• GAMTE 2015 Conference Committee
• GAMTE 2015 Proceeding Committee
• Purposes and Goals of GAMTE
• Letter from the President
• Table of Contents

Engaging In Lesson Study At Georgia College, Angel R. Abney, Brandon Samples, Doris Santarone

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

A lesson study cycle is a professional development process that integrates research and reflection through collaboration. The cycle allows a group to refine a lesson based on these collaboration efforts such as interaction with students and the post-lesson discussion. Secondary pre-service teachers in a mathematics methods course engaged in a lesson study cycle through collaboration between in-service teachers, Georgia College professors, and students in a local high school classroom. We systematically investigated this process to determine that through preparing, enacting and reflecting on their practice, Pre-service Teachers (PST) developed insight, reasoning, and understanding of the mathematics that they taught.

Using Ti-Nspire To Engage Preservice Mathematics Teachers In An Exploratory Geometry Module, Alesia D. Mickle, Pier A. Junor Clarke

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

In the mathematics classroom, most preservice mathematics teachers possess basic skills to use technology as an instructional strategy in communicating content standards. However, today’s demands for preservice teachers to engage in a variety of “best teaching practices” in their preservice teaching and edTPA requirements can oftentimes place the acquisition of technical skills and integration of new technology in content curriculum far from the forefront of their minds. Ertmer, Conklin, Lewandowski, Osika, Selo, and Wignall (2003) acknowledged preservice teachers’ desires to gain the adequate technical skills necessary to use technology in teachers’ daily tasks of facilitating and managing their classrooms. They …

Georgia Southern University Fact Book, Georgia Southern University

Georgia Southern Fact Books (1976-2022)

No abstract provided.

Georgia International Conference On Information Literacy Program [2015], Georgia International Conference On Information Lieracy

Georgia International Conference on Information Literacy

N/A

2015-2016 Senate, Senate Committee, And University Committee Membershiip, Georgia Southern University

Faculty Senate: Membership Lists

No abstract provided.

Faculty Development Committee, 2015-2016

Faculty Senate: Membership Lists

No abstract provided.

Faculty Senate Minutes-2015

Faculty Senate Minutes

No abstract provided.

Graduate Catalog, Georgia Southern University

Graduate Catalogs

No abstract provided.

Has Teacher Tenure’S Time Passed?, Charles J. Russo

Educational Leadership Faculty Publications

A recent trial court order (Vergara v. State of California 2014), which Governor Jerry Brown has already appealed (Nagourney 2014), has sent shock waves through the ranks of teachers and their unions because it threatens what is perhaps educators’ most cherished prize: tenure.

In Vergara, the court invalidated five statutes addressing tenure, procedural safeguards relating to teacher dismissal, and seniority as violating the equal protection clause in the California constitution. The court ruled that the challenged laws “impose a real and appreciable impact on students’ fundamental right to equality of education and that they impose a disproportionate burden on poor …

#Becoming: Emergent Identity Of College Students In The Digital Age Examined Through Complexivist Epistemologies, Paul William Eaton

LSU Doctoral Dissertations

This dissertation explores the possibilities and limitations of conducting research on college student identity in the digital age. Utilizing philosophical theories from complexity theory, post-qualitative research, and new materialisms, I interrogate, question, disrupt, and challenge current theories and models of college student identity, largely developed from a positivist, modernist, empiricist perspective. Conducting research on college student identity in the twenty-first century may benefit from discarding the old ‘developmental’ language of the twentieth century, replacing this discourse and understanding with a language drawn from complexity theory. In this regard, I believe educators, researchers, and practitioners should begin talking about identity emergence …

A Mixed Method Study Of Diagnostic And Adaptive Functioning Challenges In African American Preschool-Aged Children With Autism Spectrum Disorders, Douglene Jackson

Walden Dissertations and Doctoral Studies

Children with Autism Spectrum Disorder (ASD) are known to experience performance and participation challenges, with early diagnosis being critical for improved outcomes. Children from ethnic minority backgrounds tend to receive their diagnoses later, even when symptomatology is similar. This mixed methods study explored symptom severity, functional difficulties, and age at diagnosis for ASD and to describe the functional challenges encountered by preschool-aged children with ASD of African American descent. The International Classification of Functioning, Disability, and Health along with the Model of Human Occupation were the theories used for this study to conceptualize functional challenges and other potential factors. Research …

Clarifying Assessment Outcomes For A University-Based Technology Park, Joaquin Guerra Achem

Walden Dissertations and Doctoral Studies

A private, nonprofit university in Mexico invested millions of U.S. dollars in a strategic initiative to build and operate technology-knowledge transfer parks (TKTP) with the mission of supporting the development of Mexican society's entrepreneurial capabilities. The university, however, lacked an assessment policy for gauging the effectiveness of the TKTP initiative. The purpose of this study was to explore stakeholder values about TKTP effectiveness in order to inform future assessment of TKTPs. The triple helix conceptual framework of collaboration between universities, business and industry, and government informed the design of this study. The central question for this study sought to clarify …

Addressing Higher Education Issues Of Latino Students In Greenville County, South Carolina, Sandra Elizbeth Portillo De Yúdice

Walden Dissertations and Doctoral Studies

Latino college enrollment rates in South Carolina do not reflect the overall increase in the Latino population in the state, which suggests that schools, colleges, and universities may be unprepared to serve the unique needs of Latino students. Consequently, Latino students are less likely to pursue opportunities in higher education than their non-Latino counterparts, which raises significant public policy concerns about equity and the potential economic contributions of the Latino communities. The purpose of this narrative policy analysis (NPA), based upon critical race theory, was to explore the perceptions of Latino students, parents, and advocates related to opportunities in pursuing …

Developmental Students' Perception Of A First Year Learning Community, Dennell Lawrence Smith

Walden Dissertations and Doctoral Studies

This project study was an evaluation of a first year learning community program for community college students enrolled in developmental coursework at a community college in California. The program had never been evaluated. The evaluation used learning community students' and faculty members' perception as a basis for evaluation, specifically concentrating on areas that promoted student success and areas that needed further refinement. Only former program participants and the program faculty members were eligible for the study. Of the 78 eligible participants, responses from 51 students and the 2 faculty members were collected. The theoretical framework was grounded in Tinto's work …

Teacher Use Of Assistive Technology For Students With High Incidence Disabilities In Small Rural Schools, Heather Wood

Walden Dissertations and Doctoral Studies

A significant achievement gap between students with disabilities and their peers without disabilities has led to increased inclusion of students with disabilities in the general education classroom. Assistive technology (AT) has the potential to improve access to the curriculum for students with high-incidence disabilities. Teachers are challenged with learning about, recommending, and implementing AT; yet little is known about how teachers in New Hampshire use AT or the needs for professional development (PD) in AT utilization. The purpose of this intrinsic case study was to understand how teachers in small rural New Hampshire schools utilized AT with students with high-incidence …

Academic Achievement Of Esl Learners At A Teaching Hospital Training Programs, Abdul Fattah Rachdan

Walden Dissertations and Doctoral Studies

Many students in an allied health program at a Middle Eastern Arab university were experiencing difficulties with courses taught in English, resulting in poor academic achievement, low grade point averages, a high failure rate amongst its first year students, and an adverse impact upon a future skilled and educated work force for the region. Tinto's theory of institutional action for students' success served as the conceptual framework for the inquiry that used a qualitative explanatory case study method to examine the experiences of those students who were facing difficulties with their studies. To address questions about why students were failing …

School Climate, Developmental Assets, And Academic Success In Kipp Hispanic Students, Rebecca Elaine Lopez

Walden Dissertations and Doctoral Studies

Hispanic students residing in the United States have historically been the lowest-achieving ethnic group in public schools and have a high dropout rate. A stark comparison to those statistics can be found within the Knowledge is Power Program (KIPP) charter schools in San Antonio, Texas, which have a majority Hispanic student population that is thriving academically and advancing to college. Using the Search Institute's positive youth development theory, the purpose of this study was to (a) quantitatively explore how school climate moderates the relationship between Hispanic student acquisition of developmental assets and academic success at KIPP charter schools from the …

Perceptions Of Parental Involvement Among Rural Parents, Teachers, And Administrators, Sandra Elaine Cheairs

Walden Dissertations and Doctoral Studies

Parents, teachers, and administrators have different perceptions of the importance and effects of parental involvement. A rural school district was experiencing low levels of parental involvement; therefore, to address that problem, the purpose of this concurrent mixed methods study was to explore the experiences and ideas of parents, teachers, and administrators related to parental involvement. The theoretical framework was based on Epstein's 6 types of parental involvement: parenting, communicating, volunteering, learning at home, decision making, and collaborating. Data were collected from parents (n=67), teachers (n=4), and administrators (n= 3) from 5 rural elementary schools. Instruments included Epstein's School and Family …

Positive Behavior Support Systems In A Rural West Texas Middle School, Aaron Scott Hunt

Walden Dissertations and Doctoral Studies

Positive Behavior Support (PBS) programs are being implemented in schools in the United States to support faculty, staff, and students. The purpose of this study was to evaluate a PBS system at a rural west Texas middle school to discover what improvements are necessary for district-wide implementation and sustainability. The study drew on Bandura's social learning theory, which posits that people learn from each other through observation, imitation, and modeling. PBS systems provide the framework for exhibiting specific behavior expectations so students and teachers can get the most from their educational experiences. A program evaluation was completed using discipline data …

Instructional Practices Of English As Second Language Teachers, Karen Ann Wallis

Walden Dissertations and Doctoral Studies

The past decade has seen a significant increase in the emergence of English Language Learners (ELLs) in the United States. Nationally, a disparity in achievement exists between ELLs and non-ELLs. Relatedly, this problem was evident in a northeastern school district, where ELLs had not made Adequate Yearly Progress 2 years in a row. The purpose of this study was to examine how much time English as Second Language (ESL) teachers spend on a variety of best instructional practices. Constructivism, Vygotsky's zone of proximal development, and Tomilinson's differentiated instruction were the frameworks used to guide this research. A within-group design was …