Digital Commons Network^™

Temporal Sentiment Mapping System For Time-Synchronized Data, Jiachen Ma

Dissertations (1934 -)

Temporal sentiment labels are used in various multimedia studies. They are useful for numerous classification and detection tasks such as video tagging, segmentation, and labeling. However, generating a large-scale sentiment dataset through manual labeling is usually expensive and challenging. Some recent studies explored the possibility of using online Time-Sync Comments (TSCs) as the primary source of their sentiment maps. Although the approach has positive results, existing TSCs datasets are limited in scale and content categories. Guidelines for generating such data within a constrained budget are yet to be developed and discussed. This dissertation tries to address the above issues by …

Understanding College Students' Use Of Written Feedback In Mathematics, Erin Loraine Carroll

Theses and Dissertations

Many teachers want to help their students develop a growth mindset about their ability to do mathematics. Research has shown, however, that teachers simply do not know how to promote growth mindsets in their classrooms. Existing research suggests that one way teachers can support students' development of a growth mindset is through the written feedback they provide students. This study combines the research done on students' mindsets and written feedback to examine the interaction between student mindset and written feedback by analyzing written feedback provided to students in a College Algebra class and how students used that feedback based on …

Let’S Talk About Math: Exploring How Elementary Teachers Plan And Implement Mathematical Discourse In The Classroom, Anne Robertson Green

Early Childhood and Elementary Education Dissertations

Mathematical discourse is a critical component of effective mathematics instruction, but it remains one of the least implemented strategies in mathematics classrooms. This exploratory case study examined how elementary teachers understand, plan, and implement mathematical discourse practices, with a particular focus on connections to the curriculum. Participants included three kindergarten teachers in an urban-situated elementary school. Data were collected through: two sets of documents, including the provided curriculum and teacher-created lesson plans; two individual, semi-structured interviews with each participant; and two classroom observations of each participant’s mathematics instructional practices. The data were analyzed through the constant comparative method. Interview data …

Ramsey Theory, David Lai

Master's Theses

The Ramsey number $R(r, b)$ is the least positive integer such that every edge 2-coloring of the complete graph $K_{R(r, b)}$ with colors red and blue either embeds a red $K_r$ or a blue $K_b$. We explore various methods to find lower bounds on $R(r,b)$, finding new results on fibrations and semicirculant graphs. Then, generalizing the Ramsey number to graphs other than complete graphs, we flesh out the missing details in the literature on a theorem that completely determines the generalized Ramsey number for cycles.

The Impact Of Virtual Learning Modalities On The Academic Success Of Students In One Arkansas School District, Diane F. Richards

ATU Theses and Dissertations 2021 - Present

The COVID-19 pandemic changed the way Arkansas public schools’ offered students an education. While moving through this pandemic, many Arkansas schools implemented optional methods of delivery for their students. Some schools tried to maintain face-to-face classes, while others offered completely online classes. Still, others offered a hybrid format where students attended some face-to-face classes and online classes. One Arkansas school district offered all three options. School districts need guidance as to which teaching methods worked well. The long-term effects of the educational impact of COVID-19 are not known at this time. Schools could benefit from a guide with useful strategies …

Movement In Math - Integrating Movement-Based Activities Into Kindergarten Math, Katelyn Belch

Masters of Education in Teaching and Learning

Gross-motor movements have shown promising effects on student academic achievement and engagement especially in kindergarten classrooms. The purpose of this study was to examine what happens when movement-based mathematical activities are introduced into a kindergarten math curriculum and its implications on how kindergarteners engage during math time. Using surveys, observational and reflective data, and semi-structured interviews of students and my cooperating teacher, this study aimed to examine student and teacher perceptions of incorporating movement-activities. When movement activities were introduced into math time, the students were more engaged in math. The movement activities served as form of play-based learning and relied …

The Efficacy Of The Covid-19 Vaccine In Mississippi, Ilyse Miriam Levy

Honors Theses

The Efficacy of The COVID-19 Vaccine in Mississippi

(Under the direction of Dr. Xin Dang)

By tracking and analyzing fifty-three weeks of COVID-19 data, this thesis analyzes the efficacy of the COVID-19 vaccine within the State of Mississippi. Over the course of these fifty-three weeks, I have also been able to calculate the confidence intervals for vaccination efficacy and the risk reduction due to vaccination by using data regarding the correlations between deaths and vaccination status, provided to me by the Mississippi Office of Epidemiology. My analysis demonstrates that the COVID-19 vaccine is effective not only in Mississippi but also …

The Cross-Modal Relationship Between Language And Mathematics: A Bi-Directional Training Paradigm, Urvi Maheshwari

Undergraduate Honours Theses

The cross-modal relationship between language and mathematics is extensively debated (see for review, Peng et al., 2020). The present research examined the nature of this cross-modal relationship across three experiments. Experiment 1 examined whether training participants in linguistic problem-solving facilitates performance in mathematical problems. Participants were 156 adults recruited using Amazon Mechanical Turk and randomly assigned to one of three linguistic training conditions (i.e., linguistic reasoning, structural priming, or no-training) and tested on mathematical problems. No significant difference in mathematical performance was found across training conditions [F(2, 153) = 1.69, p = .18]. Experiment 2 examined whether training participants to …

A Computer Programming Intervention For Second Grade Math Students, Eric B. Bagley

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The multiplication algorithms taught to elementary students are made to help students find answers quickly, but why the algorithm works and how it relates to multiplication is not widely known. For example, one intuitive meaning of multiplication is that of iterated, or, repeated, addition. In this paper, we look at the ways a visual, block-based, programming activity uses the concept of iteration to help second-graders learn multiplication. The results of the study observing second-grade students use visual programming and iteration to setup and solve multiplication story problems. We found that generally students enjoyed these activities and found them helpful during …

Exploring Teachers’ Beliefs And Practices On Mathematical Discourse For Diverse Students In Inclusive Classrooms, Gloria A. Carcoba Falomir

UNLV Theses, Dissertations, Professional Papers, and Capstones

The recent implementation of rigorous standards in mathematics education has required shifts in classroom practices. Standards-based instruction places large emphasis on students’ conceptual understanding, requiring them to demonstrate high cognitive levels of mastery of the content through communication of their mathematical reasoning. Teachers and students’ mathematical discursive practices in the classroom can lead to meaningful discussions that integrate students’ explanation, justification, and arguments of ideas or claims and understanding of the content. Research on teachers’ discursive practices has shown that (a) teacher talk tends to dominate classroom instruction and (b) classroom discourse lacks frequent opportunities for teacher-student and peer interactions. …

Positive Solutions To Semilinear Elliptic Equations With Logistic-Type Nonlinearities And Harvesting In Exterior Domains, Eric Jameson

UNLV Theses, Dissertations, Professional Papers, and Capstones

Existing results provide the existence of positive solutions to a class of semilinear elliptic PDEs with logistic-type nonlinearities and harvesting terms both in RN and in bounded domains U ⊂ RN with N ≥ 3, when the carrying capacity of the environment is not constant. We consider these same equations in the exterior domain Ω, defined as the complement of the closed unit ball in RN , N ≥ 3, now with a Dirichlet boundary condition. We first show that the existing techniques forsolving these equations in the whole space RN can be applied to the exterior domain with some …

“I Just Learn Differently”: The Experiences Of Dis/Abled Students Of Color Interpreting And Resisting Normalizing Forces In The Mathematics Classroom, Dina Mahmood

Education (PhD) Dissertations

This critical phenomenological study employs a disabilities studies in education and critical race theory (DisCrit) lens to unpack the learning experiences of seven dis/abled students of color in the secondary mathematics classroom. Based on data collected from individual and group interviews, the counter-stories presented in this study highlight the implicit and explicit ways that the normative forces of ableism and racism circulate in the secondary mathematics classroom. Through their education journey maps, the participants described forms of hyper-labeling, experiences of implicit and explicit biases from teachers and peers, and rigid conceptions of mathematics that constrained their success. The counter-stories are, …

Causalmodels: An R Library For Estimating Causal Effects, Joshua Wolff Anderson

Computational and Data Sciences (MS) Theses

Free and open source software for statistical modeling and machine learning have advanced productivity in data science significantly. Packages such as SciPy in Python and caret in R provide fundamental tools for statistical modeling and machine learning in the two most popular programming languages used by data scientists. Unfortunately, robust tools similar to these are limited in terms of causal inference. The tools in R that exist lack consistent and standardized methodologies and inputs. R lacks a comprehensive package that offers traditional causal inference methods such as standardization, IP weighting, G-estimation, outcome regression, and propensity matching in one common package. …

The Impact Of Discourse On Math Learning In Upper Elementary, Dawn Anderson

Masters of Arts in Education Action Research Papers

Upper-elementary mathematics becomes increasingly complex, and the gap between fluency and ineptitude grows. Considering the importance of math competency, the educator must act to narrow this achievement gap. This six-week action research study examined the effect of the implementation of teaching and encouraging student application of differentiated discourse strategies on mathematical achievement and empowerment on twenty-two nine-to-twelve-year old suburban students. Qualitative and quantitative data analysis yielded three key themes: nominal growth in student achievement, a marked increase in mathematical modeling, and a considerable shift in perception of discourse responsibility, impacting student mindset, behavior, and participation. Findings suggest that student engagement …

Parents And The Evolving Math Curriculum: Supporting One's Student In Elementary Mathematics, Kailyn Heather Scobie

Undergraduate Honors Thesis Collection

The current-day mathematics curriculum is evidently different from the traditional means of teaching math. Due to this, there exist disparities between a child’s math education and their parent or guardian’s math education. This thesis will present firsthand evidence on how these disparities affect a parent’s perception of current-day curriculum, the extent to which parents can support their child in their learning of mathematics at home, and will strive to attend to the needs of both the parents or guardians as well as students in supporting the learning of these new concepts and strategies. With this, the research question asks: What …

Judith Shakespeare's Problem : Ssing Timss To Examine Contextual Indicators In Girls' Mathematics Achievement, Elizabeth Ann S. Kelly

Legacy Theses & Dissertations (2009 - 2024)

Using the Trends in International Mathematics and Science Study Data (TIMSS) 2015 dataset, this study examines 30 different contextual indicators to determine significant predictors of girls’ mathematics achievement globally. The study design employs three nested levels in the hierarchical linear model (individual, classroom, and nation) to analyze cross-national scores and responses to the contextual questionnaires. Additionally, the focus is on girls as a standalone, independent population, not in comparison to boys. This research seeks to understand at which level of society the most variability is found, as well as analyze the comparative effect sizes of various explanatory contextual predictors within …

Mathematical Modeling Suggests Cooperation Of Plant-Infecting Viruses, Joshua Miller, Vitaly V. Ganusov, Tessa Burch-Smith

Chancellor’s Honors Program Projects

No abstract provided.

Delivering On A Promise: A Longitudinal Cohort Study Of Emergent Bilinguals' Academic Achievement In A Utah Dual Language Program, J. Eric Campbell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Emergent bilingual (EB) students are a growing population in the U.S. school system currently comprising over 10% of the total population. U.S. school districts have educated EB students using a myriad of practices, including dual language immersion (DLI). Many studies have looked at the academic achievement of native-Spanish speaking EB students, yet there is a dearth of research on DLI in medium-sized school districts in rural settings. This study focused on native-Spanish speaking EB students in a DLI program in a rural Utah district. Specifically, the study compared student academic achievement in English acquisition, English language arts, mathematics, and grade …

Children's Mathematical Engagement Based On Their Awareness Of Different Coding Toys' Design Features, Joseph S. Kozlowski

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Tangible coding toys have been promulgated as useful learning tools for young children to learn computer science and mathematics concepts and skills. Although research shows coding toys can support mathematics for early childhood aged children, little is known about the specific design features of coding toys that afford mathematical thinking concepts and skills to young children. The purpose of this study was to examine kindergarten-aged children’s awareness of the design features in coding toys and to understand how those design features afford children’s engagement with mathematics. The dataset used for this study was collected as part of design-based research NSF …

The Influence Of A Course On Assessment For Inservice Secondary Mathematics Teachers, Natalie M. Anderson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many mathematics teachers are not prepared to design valid and usable measurements of their students’ mathematical achievements. There are relatively few opportunities for mathematics teachers to improve their assessment literacy. The purpose of this study is to (1) design a course on assessment for inservice mathematics teachers and (2) evaluate the effectiveness of the course. This paper recounts the development of the course and its influence on 16 teachers. Teachers who completed the course submitted a unit outline with learning objectives, a test blueprint, and a unit test. These artifacts influenced my evaluation on the effectiveness of the course. All …

Numerical Methods For Stochastic Stokes And Navier-Stokes Equations, Liet Vo

Doctoral Dissertations

This dissertation consists of three main parts with each part focusing on numerical approximations of the stochastic Stokes and Navier-Stokes equations.

Part One concerns the mixed finite element methods and Chorin projection methods for solving the stochastic Stokes equations with general multiplicative noise. We propose a modified mixed finite element method for solving the Stokes equations and show that the numerical solutions converge optimally to the PDE solutions. The convergence is under energy norms (strong convergence) for the velocity and in a time-averaged norm (weak convergence) for the pressure. In addition, after establishing the error estimates in second moment, high …

A Case Study On Targeted Support Using Tpack Model For Newly Hired Secondary Mathematics Teachers, Kristin Leigh Mckitrick-Rojas

STEMPS Theses & Dissertations

As teachers plan for instruction, technology integration is an important factor in the planning and implementation process. This is become imperative in a virtual learning environment for instructors to be competent (Gregory & Lodge, 2015). Problems exist with integrating technology that aligns with teaching and learning in content areas. Among the many possible factors that contribute to these problems is lack of understanding of technology, lack of support for teachers with technology, everchanging technology tools, inadequate training alignment to instruction, technology training that is not content-specific, lack of support with the integration of technology, pedagogy, and content (Koehler et al., …

Entrepreneurship Education Relation To Mathematical Proficiency Amongst Secondary Youth, Mariam Abdelhamid

STEMPS Theses & Dissertations

Mathematical aptitude in the United States has been a concern over the past few decades, not only from an international perspective but from a student proficiency perspective. This phenomenon is also further negatively impacted due to COVID-19 associated learning loss. Correspondingly, there are calls for students to develop entrepreneurial skills to thrive in the 21st century economy. The purpose of this quasi-experimental study was to examine whether participation in an entrepreneurship class was related to mathematical proficiency (Algebra II) in high school. Data on students from two school districts were used, consisting of 2,741 and 1,172 Algebra II students in …

Parental Involvement - Investigating The Roles, Barriers, And Strategies Of Effective Parent-Teacher Relationships In Middle School Math, Praise-El K. Pelemo

Doctor of Education (Ed.D)

The purpose of this single-instrument qualitative case study was to investigate the roles, barriers, and strategies for effective parent-teacher relationships in middle school mathematics. The focus of this study was the accounts of three parents of middle school mathematics students in independent schools and three middle school math teachers in independent schools on their perception of roles, barriers, and strategies that increase or reduce building effective partnerships. Audio recorded semi-structured interviews were conducted to gather details about participants' lived experiences. The goal of the research was to gain knowledge on current parent, teacher, and school practices on parental involvement and …

Topological And Dynamical Aspects Of Strata Of Differentials, Aaron Calderon

Yale Graduate School of Arts and Sciences Dissertations

The first part of this dissertation investigates the relationship between strata of Abelian differentials and various mapping class groups afforded by means of the topological monodromy representation. We show that the fundamental group of a stratum surjects onto the subgroup of the mapping class group which preserves a fixed framing of the underlying Riemann surface, thereby giving a complete characterization of the monodromy group. In the course of our proof we also show that these "framed mapping class groups" are finitely generated (even though they are of infinite index) and give explicit generating sets. This work was accomplished in collaboration …

Localization And Cantor Spectrum For Quasiperiodic Discrete Schrödinger Operators With Asymmetric, Smooth, Cosine-Like Sampling Functions, Yakir Moshe Forman

Yale Graduate School of Arts and Sciences Dissertations

This dissertation addresses the question of Anderson localization for quasi-periodic discrete Schr\"odinger operators $H = \varepsilon\Delta + V$ with potential $V$ sampled with Diophantine frequency $\alpha$ from an asymmetric, smooth, cosine-like function $v \in C^2(\mathbb{T},[-1,1])$. After reviewing the known results in case $v$ is analytic or symmetric, we develop an inductive analysis on scales, whereby we show that locally the Rellich functions of Dirichlet restrictions of $H$ inherit the cosine-like structure of $v$ and are uniformly well-separated. We utilize this construction to prove almost-sure Anderson localization and Cantor spectrum in our case for sufficiently small interaction $\varepsilon \leq \varepsilon_0(v,\alpha)$.

Uniform Exponential Mixing Of Frame Flows For Congruence Covers Of Convex Cocompact Hyperbolic Manifolds, Pratyush Sarkar

Yale Graduate School of Arts and Sciences Dissertations

The main objective of this thesis is to prove uniform exponential mixing of the frame flow for congruence covers of a hyperbolic manifold $\Gamma \backslash \mathbb H^n$ with respect to the Bowen--Margulis--Sullivan measures, for some convex cocompact thin subgroup $\Gamma$ of an arithmetic lattice in $\SO(n, 1)$. In order to accomplish this, we first need to prove exponential mixing of the frame flow for a single convex cocompact hyperbolic manifold $\Gamma \backslash \mathbb H^n$ as well. The former result extends the work of Oh--Winter who established the $n = 2$ case. The theorems follow from (uniform) spectral bounds for the …

On Integrals Of Matrix Coefficients Associated To Spherical Models, Elad Daniel Zelingher

Yale Graduate School of Arts and Sciences Dissertations

We define a local ingredient of the Ichino-Ikeda conjecture for isometry groups, for representations arising as local components of irreducible automorphic cuspidal representations lying in generic packets, without assuming temperedness everywhere. The representations in consideration are parabolically induced from characters and a tempered representation.

Supplementing Math Instruction In The Elementary Classroom With Cognitively Guided Instruction (Cgi), Wai Yang

School of Education and Leadership Student Capstone Projects

Education in the United States has long used the traditional written algorithm for math. In other countries around the world with high student achievement on international math assessments, different approaches to math instruction are taken. Cognitively guided instruction (CGI) in math is one of the alternative approaches to teaching math in American classrooms. Teachers may sometimes avoid implementing different math instruction approaches in their profession. This capstone sought to answer the research question, How can cognitively guided instruction (CGI) in math supplement current math in the elementary classroom? The result is a collection of nine lessons that address the research …

Motivation In Online Course Design: Action Research Using A Self-Determination Theory-Based Mathematics Unit To Improve Students’ Autonomy, Competence, And Relatedness, Emily Rose Shank

Theses and Dissertations

Strong mathematics achievement is lacking in the United States, with motivation waning especially among mathematics and online students. Online mathematics students, in particular, struggle with self-regulation and self-efficacy (Kim, 2012; Sun & Rueda, 2012). Ryan and Deci (2017), in their well-established and empirical self-determination theory, contended that satisfying the psychological needs of autonomy (involving self-regulation), competence (involving self-efficacy), and relatedness (involving a sense of belonging) creates a suitable environment for integrated extrinsic and intrinsic motivation to thrive. The purpose of this action research was to create and implement a self-determination theory-based online unit on factoring polynomials for mathematics students at …