RSS 1.0Faculty Publications-Mathematics
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On mathematicians’ disagreements on what constitutes a proof
(Taylor & Francis, 2019-04)We report the results of a study in which we asked 94 mathematicians to evaluate whether five arguments qualified as proofs. We found that mathematicians disagreed as to whether a visual argument and a computer-assisted ... -
Parking Functions on Directed Graphs and Some Directed Trees
(2020-06)Classical parking functions can be defined in terms of drivers with preferred parking spaces searching a linear parking lot for an open parking spot. We may consider this linear parking lot as a collection of n vertices ... -
Strategies for Assessing Mathematical Knowledge for Teaching in Mathematics Content Courses
(The University of Montana Department of Mathematical Sciences, 2020-06)In their practice, teachers must not only know how to solve mathematics problems; they must also be able to make sense of students’ mathematical thinking, understand the organization and intent of curricular materials, and ... -
DNA Methylation Heterogeneity Patterns in Breast Cancer Cell Lines
(Libertas Academica, 2016-08)Heterogeneous DNA methylation patterns are linked to tumor growth. In order to study DNA methylation heterogeneity patterns for breast cancer cell lines, we comparatively study four metrics: variance, I (2) statistic, ... -
Preliminary Analysis of Within-Sample Co-methylation Patterns in Normal and Cancerous Breast Samples
(Sage, 2019)DNA methylation plays a significant role in regulating the expression of certain genes in both cancerous and normal breast tissues. It is therefore important to study within-sample co-methylation, ie, methylation patterns ... -
The Rank Function of a Positroid and Non-Crossing Partitions
(Electronic Journal of Combinatorics, 2020-01-10)A positroid is a special case of a realizable matroid that arose from the study of totally nonnegative part of the Grassmannian by Postnikov [13]. Postnikov demonstrated that positroids are in bijection with certain ... -
Short and Long-Term Forecasting Using Artificial Neural Networks for Stock Prices in Palestine: A Comparative Study
(Universita del Salento, 2017-04)To compare the forecast accuracy, Artificial Neural Networks, Autoregressive Integrated Moving Average and regression models were fit with training data sets and then used to forecast prices in a test set. Three different ... -
Regular Numbers and Mathematical Worlds
(Flm Publishing Association, 2016)Rather than describing the challenges of integer learning in terms of a transition from positive to negative numbers, we have arrived at a different perspective: We view students as inhabiting distinct mathematical worlds ... -
Mathematical Modeling Cycles as a Task Design Heuristic
(University of Montana, 2017)There are many approaches to task design (Watson & Ohtani, 2015) from a large number of local and global design heuristics. The purpose of this paper is to present how mathematical modeling cycles, a popular way of describing ... -
Journaling to Support Student Learning: The Case of an Elementary Number Theory Course
(University of Montana, 2019)The use of journals in supporting student learning in elementary number theory is explored. Implications are made for the use of reflective writing for the teaching and learning of proofs and for undergraduate mathematics ... -
Teachers’ Conceptions of Technology, School Policy and Teachers’ Roles When Using Technology in Instruction
(Modestum, 2018)This case study invested effort in capturing individual teachers’ responses to their conceptions of technology and school policy on technology, and how they actually or intentionally used technology, to clarify what roles ... -
The Efficiency of Artificial Neural Networks for Forecasting in the Presence of Autocorrelated Disturbances
(Canadian Center of Science and Education, 2016-02)We compare three forecasting methods, Artificial Neural Networks (ANNs) ANNs), Autoregressive Integrated Moving Average (ARIMA) and Regression models . Using computer simulations, the major finding reveals that in the ... -
The Influence of Early STEM Career Exploration as Related to Motivation and Self-determination Theory
(2018-06)A science, technology, engineering, and mathematics (STEM) summer intervention program is the setting for a career-exploration research study with over 30 adolescent students in a low-income community. Using motivation ... -
Hemimethylation Patterns in Breast Cancer Cell Lines
(Sage, 2019)DNA methylation is an epigenetic event that involves adding a methyl group to the cytosine (C) site, especially the one that pairs with a guanine (G) site (ie, CG or CpG site), in a human genome. This event plays an important ... -
Integrative Analysis of Gene Expression and Methylation Data for Breast Cancer Cell Lines
(BioMed Central Ltd., 2018-06)Background: The deadly costs of cancer and necessity for an accurate method of early cancer detection have demanded the identification of genetic and epigenetic factors associated with cancer. DNA methylation, ...
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Within-sample Co-methylation Patterns in Normal Tissues
(Springer, 2019)Background: DNA methylation is an epigenetic event that may regulate gene expression. Because of this regulation role, aberrant DNA methylation is often associated with many diseases. Within-sample DNA co-methylation ...
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Findings of the Dynamic Geometry Project at Texas State University
(Texas State University, 2016-10)No abstract prepared. -
On the classification and asymptotic behavior of the symmetric capillary surfaces
(Taylor & Francis, 2016-08-17)We consider the symmetric solutions to the Young-Laplace equation, and its extensions past vertical points. We provide a classification of all symmetric solutions using certain families of parameters. This classification ... -
On Floating Equilibria in a Laterally Finite Container
(Society for Industrial and Applied Mathematics, 2016-08)The main contribution of this paper is the precise numerical identification of a model set of parameters for a floating object/container system which admits three distinct equilibrium configurations, two of which are local ... -
Cox Survival Analysis of Microarray Gene Expression Data Using Correlation Principal Component Regression
(The Berkeley Electronic Press, 2007-05-29)Statistical analysis of microarray gene expression data has recently attracted a great deal of attention. One problem of interest is to relate genes to survival outcomes of patients with the purpose of building regression ...
