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The publications archived in this Digital Commons@Georgia Southern collection are produced by the faculty of the Department of Mathematical Sciences.
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Submissions from 2023
Individual Difference Correlates of Being Sexually Unrestricted Yet Declining an HIV Test, Nicholas S. Holtzman, Stephen W. Carden, Stacy W. Smallwood, Janice Steirn, and S. Mason Garrison
Impact of designed task-based interventions on K-8 preservice teachers’ knowledge and ability to solve measurement unit conversion problems, Ha Nguyen, Tuyin An, and Eryn Maher
K-8 Preservice Teachers’ Statistical Thinking When Determining Best Measure of Center, Ha Nguyen, Eryn M. Stehr Maher, Gregory Chamblee, and Sharon Taylor
Supporting Spatial Reasoning: Identifying Aspects of Length, Area, and Volume in Textbook Definitions, Eryn M. Stehr Maher and Jia He
Submissions from 2022
Equal or Equitable: Using the Five Practices to Adapt and Implement a Fair Sharing Task, Ha Nguyen and Eryn Stehr Maher
Mathematics Learning, Teaching, and Equity in Policy and Programs: The Case of Secondary Mathematics Teacher Education in the United States, Eryn M. Stehr Maher, Hyunyi Jung, and Jill Newton
Using Desmos to Support Visualizing and Interpreting Mean, Eryn M. Stehr Maher and Ha Nguyen
Small-scale Mentoring Pilot Program for Future K-8 Teachers to Support Math Identities, Eryn M. Stehr Maher, Ha Nguyen, T. An, and Gregory Chamblee
Submissions from 2021
The Exponentiated Half Logistic-Topp-Leone-G Power Series Class of Distributions: Model, Properties and Applications, Fastel Chipepa, Broderick O. Oluyede, Divine Wanduku, and Thatayaone Moakofi
Examining Sigmoid vs ReLu Activation Functions in Deep Learning, Mohammad Anwarul Islam, Hayden Wimmer, and Carl M. Rebman Jr
Teacher Educators Learning with Prospective Teachers: Finding Relevant Mathematics in Our (Their) Lives, Lindsay M. Keazer and Eryn Stehr Maher
Exponentiated Half Logistic-Power Generalized Weibull-G Family of Distributions: Model, Properties and Applications, Broderick O. Oluyede, Fastel Chipepa, and Divine Wanduku
The odd Weibull-Topp-Leone-G power series family of distributions: model, properties, and applications, Broderick O. Oluyede, Fastel Chipepa, and Divine Wanduku
Building proof bridges interactively with Desmos, Eryn Stehr Maher and H. Nguyen
Estimating White Noise Intensity Regions for Comparable Properties of a Class of Seirs Stochastic and Deterministic Epidemic Models, Divine Wanduku
Submissions from 2020
Half Logistic Odd Weibull-Topp-Leone-G Family of Distributions: Model, Properties and Applications, Fastel Chipepa, Divine Wanduku, and Broderick O. Oluyede
Inferring Grandiose Narcissism From Text: LIWC Versus Machine Learning, Andrew D. Cutler, Stephen W. Carden, Hannah L. Dorough, and Nicholas S. Holtzman
Whiteness as a Stumbling Block in Learning to Teach Mathematics for Social Justice, Frances K. Harper, Eryn Stehr Maher, and Hyunyi Jung
A New Generalized Log-Logistic Erlang Truncated Exponential Distribution with Applications, Broderick O. Oluyede, Hameed Abiodun Jimoh, Divine Wanduku, and Boikanyo Makubate
The Exponentiated Generalized Power Series Class of Distributions: Theory, Properties and Applications, Broderick O. Oluyede, Baitshephi Mashabe, Adeniyi F. Fagbamigbe, Boikanyo Makubate, and Divine Wanduku
Elementary Preservice Teachers’ Conceptions of Mean and Median, Eryn Stehr Maher, Gregory Chamblee, H. Nguyen, and C. Smith
Navigating Complexities in Definitions of Length and Area, Eryn M. Stehr Maher and Jia He
Modeling Highly Random Dynamical Infectious Systems, Divine Wanduku
On the almost sure, and pth moment exponential convergence and stochastic exponential stabilities for nonlinear stochastic epidemic models, Divine Wanduku
The stationary distribution and stochastic persistence for a class of disease models: Case study- malaria, Divine Wanduku
Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters, Divine Wanduku, Charles C. Newman, Omotomilola Onaopemipo Jegede, and Broderick O. Oluyede
Some asymptotic properties of SEIRS models withnonlinear incidence and random delays, Divine Wanduku and Broderick O. Oluyede
Submissions from 2019
Cronbach’s Alpha Under Insufficient Effort Responding: An Analytic Approach, Stephen W. Carden, Trevor R. Camper, and Nicholas S. Holtzman
Exploration Using Without-Replacement Sampling of Actions Is Sometimes Inferior, Stephen W. Carden and S. Dalton Walker
The Formation of Thickveins (Tkv) Gradient in Drosophila Wing Disc: A Theoretical Study, Zhan Chen
AP Patterning in the Drosophila Wing Disc I: A Basic Model, Zhan Chen and Yuting Zou
Preparing Pre-Service Teachers to Present at a State Conference, Heidi Eisenreich
The Gamma Logistic Erlang Truncated Exponential Distribution with Applications, Hameed Jimoh, Broderick O. Oluyede, Divine Wanduku, and Boikanyo Makubate
Mathematical Modeling Opportunities Reported by Secondary Mathematics Preservice Teachers and Instructors, Hyunyi Jung, Eryn M. Stehr Maher, and Jia He
Physical and Virtual Manipulation Framework Conceptions of Undergraduate Pre-Service Teachers, Enrique Ortiz, Heidi A. Eisenreich, and Laura Tapp
Definitions and Meaning for Future Teachers in Spatial Measurement: Length, Area, and Volume, Eryn M. Stehr and Jia He
“Big Ideas” in Secondary Mathematics Education Programs, Eryn M. Stehr, Hyunyi Jung, and Jill Newton
Supporting Prospective Teachers’ Development of Relevant and Authentic Mathematics Stories, Eryn M. Stehr and Lindsay M. Keazer
Conceptualizing and Interpreting Mean and Median With Future Teachers, Eryn Stehr Maher, Ha Nguyen, Gregory Chamblee, and Sharon Taylor
The Stochastic Extinction and Stability Conditions for Nonlinear Malaria Epidemics, Divine Wanduku
Submissions from 2018
On Almost Everywhere Divergence of Bochner-Riesz Means on Compact Lie Groups, Xianghong Chen and Dashan Fan
Peripheral Wiener Index of Trees and Related Questions, Ya-Hong Chen, Hua Wang, and Xiao-Dong Zhang
A Multiscale Model for Heterogeneous Tumor Spheroid in Vitro, Zhan Chen and Yuting Zou
Topological Properties of a Class of Self-Affine Tiles in R3, Guotai Deng, Chuntai Liu, and Sze-Man Ngai
Deepening Place Value Understanding in K-2 Through Explanation and Justification, Andria Disney and Heidi Eisenreich
Using School Choice to Connect to Mathematics Learning in a Statistics and Probability Course for K-8 Pre-service Teachers, Ha Nguyen and Heidi Eisenreich
Fractions as Operators: Not Forgotten, Ha Nguyen, Heidi Eisenreich, Eryn M. Stehr, and Tuyin An
Using Google Forms to Inform Teaching Practices, Ha Nguyen, Eryn M. Stehr, Heidi Eisenreich, and Tuyin An
On Quantiles Estimation Based on Different Stratified Sampling With Optimal Allocation, Hani Samawi, Arpita Chatterjee, Jingjing Yin, and Haresh Rochani
Developing Consistent Meanings for Mathematical Connections, Exploration, and Reasoning, Eryn M. Stehr
Essential Aspects of Mathematics as a Practice in Research and Undergraduate Instruction, Eryn M. Stehr and T. An
Selecting, Sequencing, and Connecting: Using Technology to Support Area Measurement Through Tasks, Strategies, and Discussion, Eryn M. Stehr, Jia He, and Ha Nguyen
Messy Lessons: Using Technology and Productive Discussion for Length Measurement, Eryn M. Stehr and Ha Nguyen
Threshold Conditions for a Family of Epidemic Dynamic Models for Malaria with Distributed Delays in a Non-Random Environment, Divine Wanduku
Deepening K-8 Pre Service Teachers' Understanding of Mathematics and Mathematical Feedback, James C. Willingham, Heidi Eisenreich, Casey Hawthorne, and William W. Deleeuw
Submissions from 2017
CAHOST: An Excel Workbook for Facilitating the Johnson-Neyman Technique for Two-Way Interactions in Multiple Regression, Stephen W. Carden, Nicholas S. Holtzman, and Michael J. Strube
CAHOST Facilitating the Johnson-Neyman Technique for Two-Way Interactions in Multiple Regression, Stephen W. Carden, Nicholas Holtzman, and Michael Strube
Small-sample Reinforcement Learning: Improved Policies Using Synthetic Data, Stephen W. Carden and James Livsey
Proper Distance in Edge-Colored Hypercubes, Eddie Cheng, Colton Magnant, and Dhruv Medarametla
A Zariski-Local Notion of F-Total Acyclicity for Complexes of Sheaves, Lars Winther Christensen, Sergio Estrada, and Alina Iacob
Symplectic Meanders, Vincent E. Coll Jr., Matthew Hyatt, and Colton Magnant
Differentiability of Lq-Spectrum and Multifractal Decomposition by Using Infinite Graph-Directed IFSs, Guotai Deng and Sze-Man Ngai
An Exploratory Study on the Influence of Video Clips on Pre Service Teachers' Learning of Fractions, Heidi Eisenreich and Andria Disney
Fractions: Not Always a Two-Way Street, Heidi Eisenreich, Ha Nguyen, and Joy Darley
Totally Acyclic Complexes, Sergio Estrada, Xianhui Fu, and Alina Iacob
Gorenstein Injective Sheaves, Sergio Estrada and Alina Iacob
Gorenstein Projective Precovers, Sergio Estrada, Alina Iacob, and Katelyn A. Coggins
Gorenstein Flat and Projective (Pre)Covers, Sergio Estrada, Alina Iacob, and Sinem Odabasi
Non-Inferiority Test Based on Transformations for Non-Normal Distributions, Santu Ghosh, Arpita Chatterjee, and Samiran Ghosh
Placing Specified Vertices at Precise Locations on a Hamiltonian Cycle, Ronald Gould, Colton Magnant, and Pouria Salehi Nowbandegani
Nature of Mathematical Modeling Tasks for Secondary Mathematics Preservice Teachers, Jia He, Eryn M. Stehr, and Hyunyi Jung
Parts and Subword Patterns in Compositions, Brian Hopkins, Mark Shattuck, Andrew V. Sills, Thotsaporn Thanatipanonda, and Hua Wang
On Two Conjectures About the Proper Connection Number of Graphs, Fei Huang, Xueliang Li, Zhongmei Qin, Colton Magnant, and Kenta Ozeki
Gorenstein Injective Envelopes and Covers Over Two Sided Noetherian Rings, Alina Iacob
Conceptions of Modeling Reported by Instructors in Teacher Preparation Programs, Hyunyi Jung, Eryn M. Stehr, and Jia He
Ghost Series and a Motivated Proof of the Andrews–Bressoud Identities, Shashank Kanade, James Lepowsky, Matthew C. Russell, and Andrew Sills
Forbidden Properly Edge-Colored Subgraphs that Force Large Highly Connected Monochromatic Subgraphs, Robert Katic, Colton Magnant, and Pouria Salehi Nowbandegani
Hodge Theory on Transversely Symplectic Foliations, Yi Lin
Construction of a Full Row-Rank Matrix System for Multiple Scanning Directions in Computed Tomography, Xiezhang Li, James D. Diffenderfer, and Jiehua Zhu
Co-Characterization of Symplectic and Contact Embeddings and Lagrangian Rigidity, Stefan Müller
Geometric Aspects of Representation Theory for DG Algebras: Answering a Question of Vasconcelos, Saeed Nasseh and Sean Sather-Wagstaff
Vanishing of Ext and Tor Over Fiber Products, Saeed Nasseh and Sean Sather-Wagstaff
Structure of Irreducible Homomorphisms to/from Free Modules, Saeed Nasseh and Ryo Takahashi
On Gorenstein Fiber Products and Applications, Saeed Nasseh, Ryo Takahashi, and Keller VandeBogert
The Gamma-Generalized Inverse Weibull Distribution with Applications to Pricing and Lifetime Data, Broderick O. Oluyede, Boikanyo Makubate, Divine Wanduku, Ibrahim Elbatal, and Valeriia Sherina
On Kernel Density Estimation Based on Different Stratified Sampling With Optimal Allocation, Hani M. Samawi, Arpita Chatterjee, Jingjing Yin, and Haresh Rochani
More Efficient Logistic Analysis Using Moving Extreme Ranked Set Sampling, Hani M. Samawi, Haresh Rochani, Daniel F. Linder, and Arpita Chatterjee
Complete Global Analysis of a Two-Scale Network SIRS Epidemic Dynamic Model with Distributed Delay and Random Perturbations, Divine Wanduku
Global Analysis of a Stochastic Two-Scale Network Human Epidemic Dynamic Model with Varying Immunity Period, Divine Wanduku and G. S. Ladde
On Algorithms for Enumerating Subtrees of Hexagonal and Phenylene Chains, Yu Yang, Hongbo Liu, Hua Wang, Ansheng Deng, and Colton Magnant
Multiple Solutions With Constant Sign of a Dirichlet Problem for a Class of Elliptic Systems With Variable Exponent Growth, Li Yin, Jinghua Yao, Qihu Zhang, and Chunshan Zhao
On Stratified Bivariate Ranked Set Sampling with Optimal Allocation for Naïve and Ratio Estimators, Lili Yu, Hani M. Samawi, Daniel Linder, Arpita Chatterjee, Yisong Huang, and Robert L. Vogel
Submissions from 2016
Maximum Wiener Index of Trees With Given Segment Sequence, Eric Ould Dadah Andriantiana, Stephan G. Wagner, and Hua Wang
Applying Linear Controls to Chaotic Continuous Dynamical Systems, James P. Braselton and Yan Wu
Stabilizing the Lorenz Flows Using a Closed Loop Quotient Controller, James P. Braselton and Yan Wu
