The following citations represent the full-text presentations by the department’s faculty during their employment with Georgia Southern. For the full list of a faculty member’s publications and presentations, visit his or her SelectedWorks site.

Only faculty with Selectedworks pages are included in this list. If you are a Georgia Southern faculty member, please review the SelectedWorks handout for instructions on how to create your site. You have the option to create it yourself or have the library staff create one for you.

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Submissions from 2018

Using Google Forms to Inform Teaching Practices, H. Nguyen, Heidi Eisenreich, and Eryn M. Stehr

Essential Aspects of Mathematics as a Practice in Research and Undergraduate Instruction, Eryn M. Stehr and T. An

Submissions from 2017

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Some Blow-Up Rates of Solutions to Nonlinear Schrödinger Equations With Rotations, Nyla Basharat, Yi Hu, and Shijun Zheng

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Making Sense to Explore: Teaching Area With Coherence, Heidi Eisenreich, Juli Dixon, and Janet Andreasen

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Combinatorics of n-Colored Cyclic Compositions, Meghann M. Gibson, Daniel Gray, and Hua Wang

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Random Graphs and L-Connectivities, Ran Gu, Xiaofeng Gu, Yongtang Shi, and Hua Wang

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Completing the Incomplete: Making Sense of Completing the Square Using Manipulatives, Erhan Haciomeroglu, Heidi Eisenreich, and Aline Abassian

Nature of Mathematical Modeling Tasks for Secondary Mathematics Preservice Teachers, J. He, Eryn M. Stehr, and H. Jung

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Bounds for Blow-Up Solutions to Nonlinear Schrödinger Equations in Two Dimensions, Yi Hu

Conceptions of Modeling Reported by Instructors in Teacher Preparation Programs, H. Jung, Eryn M. Stehr, and J. He

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Spectral Asymptotics of a Class of One-Dimensional Fractal Laplacians, Sze-Man Ngai

Spectral Asymptotics of Fractal Laplace and Schrödinger Operators, Sze-Man Ngai

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Spectral Asymptotics of Some One-Dimensional Fractal Laplacians, Sze-Man Ngai

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Spectral Dimension of a Class of One-Dimensional Fractal Laplacians, Sze-Man Ngai

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Preservice Teachers’ Conceptions and Misconceptions of Physical and Virtual Manipulatives, Enrique Ortiz and Heidi Eisenreich

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Rogers–Ramanujan Type Partition Identities, Andrew V. Sills

Developing Consistent Meanings for Mathematical Connections, Exploration, and Reasoning, Eryn M. Stehr

Using Open Applet Tasks to Support Discussion of Area Measurement, Eryn M. Stehr

Using Technology for Mathematical Learning: Immediate Grades or Mathematical Consequences, Eryn M. Stehr

Algebra as a Tool: Making Connections in Teacher Preparation, Eryn M. Stehr, H. Jung, and J. Newton

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Pattern Packing: Questions and Observations, Hua Wang

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Minimal Mass-Energy Dynamics for Rotating BEC, Shijun Zheng

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Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity, Shijun Zheng

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Symplectic and Contact Imprimitivity, Francois Ziegler

Submissions from 2016

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Conceptual and Procedural Understanding: Prospective Teachers’ Interpretations and Applications, Janet Andreasen, Erhan Haciomeroglu, and Heidi Eisenreich

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Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation, Nyla Basharat, Yi Hu, and Shijun Zheng

Markov Decision Processes and Reinforcement Learning, Stephen W. Carden

Markov Decision Processes and Reinforcement Learning, Stephen W. Carden

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Streamlining the Johnson-Neyman Technique for Two-Way Interactions, Stephen W. Carden

A Hierarchical Bayesian Model for the Reliability of Repairable Systems, Arpita Chatterjee

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A Note on Dirichlet Process Based Semiparametric Bayesian Models, Arpita Chatterjee

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A Semiparametric Bayesian Approach to Borrow Information from Historical Control Data in Two Arm Clinical Trials, Arpita Chatterjee

Bayesian Modeling for Sparse Data, Arpita Chatterjee

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Connecting Fraction Manipulatives to Context, Heidi Eisenreich

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Parent Workshops on 2nd, 3rd, and 4th Grade Whole Number Operation Tasks, Heidi Eisenreich

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What Have I Done? Connecting Fraction Manipulatives to Context, Heidi Eisenreich

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Parent Workshops Focused on Mathematics Knowledge for Parenting (MKP): Shifting Beliefs About Learning Mathematics, Heidi Eisenreich and Janet Andreasen

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Helping Preservice Teachers Make Sense of Whole Number Concepts and Operations: Working in Base 8, Heidi Eisenreich, Janet Andreasen, and Katie Harshman

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Comparing Fractions: Using Strategies and Discourse to Develop Conceptual Understanding, Heidi Eisenreich and Bhesh R. Mainali

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Gorenstein Projective (Pre)Covers, Michael J. Fox

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Plane Binary Trees and Superpatterns for Layered Permutations, Daniel Gray

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l-Connectivity and l-Edge-Connectivity of Random Graphs, Ran Gu, Xiaofeng Gu, Yongtang Shi, and Hua Wang

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Making Sense of Quadratic Equations, Erhan Haciomeroglu, Heidi Eisenreich, and Aline Abassiyan

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Preservice Teachers’ Acceptance of Number Concepts Instruction in Base 8, Katie Harshman and Heidi Eisenreich

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Sharp Condition on Global Well-Posedness for Nonlinear Schrödinger Equations With Rotation, Yi Hu, Nyla Basharat, and Shijun Zheng

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Fourier Restriction and Exponential Sum Estimates, Yi Hu and Xiaochun Li

Totally Acyclic Complexes, Alina Iacob

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Polynomial Approximation on a Sparse Grid, Scott N. Kersey

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Solving Inequality Constrained Spline Optimization Problems, Scott N. Kersey and Joshua A. Holloway

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A One-Step Per Iteration Full-Newton-Step Infeasible Interior-Point Method for LCP, Goran Lesaja

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A Second Order Cone Formulation of Continuous CTA Model, Goran Lesaja

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Full-Newton-Step Infeasible Interior-Point Method for LCP That Requires Only One Step Per Iteration, Goran Lesaja

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Teaching with Technology: GeoGebra Exploration, Bhesh R. Mainali and Heidi Eisenreich

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Spectral Asymptotics of One-Dimensional Fractal Laplacians in the Absence of Second-Order Identities, Sze-Man Ngai

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The Multifractal Formalism and Spectral Asymptotics of Self-Similar Measures With Overlaps, Sze-Man Ngai

Wave Propagation Speed on Fractals, Sze-Man Ngai

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Wave Propagation Speed on Fractals, Sze-Man Ngai

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Using Formative Assessment with Pre-Service Teachers to Develop a Conceptual Knowledge of “Arithmetic & Algebraic” Fractions and Operations, Ha Nguyen

Name That Fraction!, Ha Nguyen and Joy W. Darley

The Fraction Dilemma: The Ambiguous Whole, Ha Nguyen and Joy W. Darley

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The Burr XII-Weibull Poisson Distribution: Theory and Applications, Broderick O. Oluyede

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A New Class of Distributions for Survival and Lifetime Data Analysis: Theory and Applications, Broderick O. Oluyede, Baitshephi Mashabe, Adeniyi F. Fagbamigbe, and Shujiao Huang

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Pre-Service Teachers’ Implementation of Physical and Virtual Manipulatives, Enrique Ortiz, Heidi Eisenreich, and Laura Tapp

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Alignment of Lecture and Lab in Introductory Microbiology and Biology Courses: Analysis of Current Practices, Andrea Rediske, Malcolm Butler, Stephen Sivo, Morgan McAfee, and Heidi Eisenreich

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Attitudes of Instructors Towards the Importance and Necessity of Alignment of Topics in Lecture and Lab in Introductory Microbiology and Biology Courses, Andrea Rediske, Morgan McAfee, Heidi Eisenreich, Stephen Sivo, and Malcolm Butler

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A Classical Q-Hypergeometric Approach to the A2^(2) Standard Modules, Andrew V. Sills

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Euler-Type Partition Recurrences, Andrew V. Sills

On Chaos Stabilization in Nonlinear Autonomous Discrete Dynamical Systems, Alexander M. Stokolos

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On Chaos Stabilization in Nonlinear Autonomous Discrete Dynamical Systems, Alexander M. Stokolos

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On Some Applications of Complex Analysis in Non-Linear Dynamics, Alexander M. Stokolos

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On Some Polynomials in Complex Variable, Alexander M. Stokolos

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Selected Problems of Non-Linear Dynamics, Alexander M. Stokolos

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Extremal Ratio Questions in Binary Trees, Hua Wang

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Trees With Given Degree Sequence and the Maximum Wiener Index, Hua Wang

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Patterns and Parts in Compositions: Enumeration and Bijection, Hua Wang, Brian Hopkins, Mark Shattuck, Andrew V. Sills, and Thotsaporn Thanatipanonda

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Minimal Mass-Energy Dynamics for Solitons Arising in Mathematical Physics, Shijun Zheng

Analysis of Generalized l₁ Greedy Algorithm for CT Image Reconstruction, Jiehua Zhu

Image Reconstruction in Computed Tomography, Jiehua Zhu

Submissions from 2015

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Reinforcement Learning for Categorical Data and Marginalized Transition Models, Stephen W. Carden

Estimating Distribution Function Based on Stratified Ranked Set Sampling, Arpita Chatterjee

Using Formative Assessment to Foster a Growth Mindset for Learning Fraction Operations, Joy W. Darley, Ha Nguyen, and Olufunke Adefope

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Introduction to Superpatterns, Daniel Gray

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Superpatterns and Generalizations of Layered Permutations, Daniel Gray, Matthew R. Just, and Hua Wang

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Gorenstein Flat and Projective (Pre)Covers, Alina Iacob

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Gorenstein Flat Preenvelopes, Alina Iacob

Gorenstein Projective Precovers, Alina Iacob

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Gorenstein Projective Precovers, Alina Iacob

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Gorenstein Projective Precovers, Alina Iacob

Gorenstein Projective Precovers over GF-Closed Rings, Alina Iacob

Gorenstein Projective Precovers over GF-Closed Rings, Alina Iacob

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Permutations Containing Large Number of a Prescribed Pattern, Matthew Just and Hua Wang

Discrete Blending, Scott N. Kersey

Interpolation from the Sum of Tensor Product Spaces, Scott N. Kersey

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Polynomial Approximation on Quasi-Uniform Grids, Scott N. Kersey

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An Improved Feasible Full Nesterov-Todd Interior-Point Algorithm for Symmetric Optimization, Goran Lesaja

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An Improved Infeasible Full Nesterov-Todd Interior-Point Algorithm for the Linear Complementarity Problem over Symmetric Cones, Goran Lesaja

Lq-Spectrum and Multifractal Formalism of a Class of Self-Similar Measures of General Finite Type, Sze-Man Ngai

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Topological Properties of a Class of Self-Affine Tiles in R3, Sze-Man Ngai

Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part I: Connectedness, Sze-Man Ngai

Topological Properties of a Class of Three Dimensional Self-Affine Tiles, Part II: Homeomorphism to a Round 3-Ball, Sze-Man Ngai