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One-To-One Ipad Technology In The Middle School Mathematics And Science Classrooms, Sharon G. Bixler

Theses and Dissertations--Education Sciences

Science, technology, engineering, and mathematics (STEM) education has become an emphasized component of PreK-12 education in the United States. The US is struggling to produce enough science, mathematics, and technology experts to meet its national and global needs, and the mean scores of science and mathematics students are not meeting the expected levels desired by our leaders (Hossain & Robinson, 2011). In an effort to improve achievement scores in mathematics and science, school districts must consider many components that can contribute to the development of a classroom where students are engaged and growing academically. Computer technology (CT) for student use …

Compositional Changes For Reduction Of Polymerisation-Induced Shrinkage In Holo, Dervil Cody, Mohesh Moothanchery, Emilia Mihaylova, Vincent Toal, Svetlana Mintova, Izabela Naydenova

Doctoral

Polymerisation-induced shrinkage is one of the main reasons why many photopolymer materials are not used for certain applications including holographic optical elements and holographic data storage. Here, two compositional changes for the reduction of shrinkage in an acrylamide-based photopolymer are reported. A holographic interferometric technique was used to study changes in the dynamics of the shrinkage processes occurring in the modified photopolymer during holographic recording in real time. Firstly, the effect of the replacement of the acrylamide monomer in the photopolymer composition with a larger monomer molecule, diacetone acrylamide, on polymerisation-induced shrinkage has been studied. A reduction in relative shrinkage …

Jewel, Purse, Trash: Reckoning And Reputation In Othello, Laura Kolb

Publications and Research

This article offers an analysis of Shakespeare’s Othello alongside arithmetic textbooks for merchants and soldiers. It argues that Othello dramatizes a problem that also haunts the pages of these math books: the problem of calculating the value of persons in a society where new forms of commercial credit were unsettling traditional notions of worth grounded in status, military prowess and sexual purity. Othello’s loss of faith in his wife and the disintegration of his sense of self both depend on Iago’s manipulation of two competing models of reputation: one based on martial valor and sexual purity (reputation as honor) and …

Investigating Curriculum Use And Its Impact On Teachers And Their Practice, Tiah B. Alphonso

LSU Doctoral Dissertations

This study provided insights into how upper elementary teachers from three southern school districts used standards based curriculum materials and the resulting changes in their beliefs, knowledge, and practice. Additionally, this study sought to identify whether the following four factors were predictors of change in teacher practice: coherence of the professional development program, opportunities to collaborate, years of teaching experience, and curriculum use. The participating school districts were selected through purposeful sampling with districts being chosen largely based on a strong commitment to implementing Eureka Math in their schools. For comparison purposes, a contrast school district was also included in …

Subgroups Of Finite Wreath Product Groups For P=3, Jessica L. Gonda

Williams Honors College, Honors Research Projects

Let M be the additive abelian group of 3-by-3 matrices whose entries are from the ring of integers modulo 9. The problem of determining all the normal subgroups of the regular wreath product group P=Z₉≀(Z₃ × Z₃) that are contained in its base subgroup is equivalent to the problem of determining the subgroups of M that are invariant under two particular endomorphisms of M. In this thesis we give a partial solution to the latter problem by implementing a systematic approach using concepts from group theory and linear algebra.

New Facets Of The Balanced Minimal Evolution Polytope, Logan Keefe

Williams Honors College, Honors Research Projects

The balanced minimal evolution (BME) polytope arises from the study of phylogenetic trees in biology. It is a geometric structure which has a variant for each natural number n. The main application of this polytope is that we can use linear programming with it in order to determine the most likely phylogenetic tree for a given genetic data set. In this paper, we explore the geometric and combinatorial structure of the BME polytope. Background information will be covered, highlighting some points from previous research, and a new result on the structure of the BME polytope will be given.

A Review Of Secondary Mathematics Textbooks On Families Of Functions, Emily Nyszczy

Williams Honors College, Honors Research Projects

In 2008, twelve commonly used textbooks were studied for their use of technology and content across 5 families of functions: polynomial, rational, exponential, logarithmic, and trigonometric. Since 2008, the Common Core State Standards have been released and many textbook companies have used this as an opportunity to change their textbook content. This study reevaluates new high school algebra and precalculus textbooks across many of the same criterion studied in 2008. Some topics such as increasing and decreasing functions significantly increased their presence in the mathematics textbooks while topics such as sketching graphs has decreased. The reason for this shift in …

Impact Of Instructional Coaches On Elementary Mathematical Achievement, Kayla Marie Hibbard

Online Theses and Dissertations

Since the passage of the Elementary and Secondary Education Act of 1965, school leaders have sought to improve student abilities in both math and reading. Although both subjects have made improvements in both delivery and assessment over the years, mathematics still troubles the nation as students continuously fall short of local, state and federal goals (Darling-Hammond, 1998, 2005; Franke et al., 2005; Johnson & Johnson, 2002).

Instructional coaches have become a norm for many districts across the U. S. as districts seek to draw knowledge and leadership from mastery level teachers as they help improve everyday teaching and student learning. …

Strengthening Elementary Students' Understanding Of Factors, Jordan R. Frotz

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Research on pre-service elementary school teachers’ understanding of the multiplicative structure of the natural numbers demonstrates an under-utilization of unique prime factorization in the identification of a number’s factors. For example, Zazkis and Campbell (1996b) found that a majority of teacher candidates employed trial division to analyze factor-candidates of a number, even when both were presented in prime-factored-form. Recent studies (i.e. Roscoe & Feldman, 2015) have shown that teachers’ understanding of factor can be strengthened by engaging in a sequence of instructional tasks that explore the relationship between a number’s prime factorization and its factors. This study seeks to extend …

Power Distribution And Probabilistic Forecasting Of Economic Loss And Fatalities Due To Hurricanes, Earthquakes, Tornadoes, And Floods In The United States, Scott Edward Baker

Browse all Theses and Dissertations

Traditionally, the size of natural disaster events such as hurricanes, earthquakes, tornadoes, and floods is measured in terms of wind speed (m/sec), energy released (ergs), or discharge (m3/sec). Economic loss and fatalities from natural disasters result from the intersection of the human infrastructure and population with the natural event. This study investigates the size versus cumulative number distribution of individual natural disaster events in the United States. Economic losses are adjusted for inflation to 2014 United States Dollars (USD). The cumulative number divided by the time over which the data ranges is the basis for making probabilistic forecasts in terms …

To The Memory Of R. Freivalds, Efim Kinber

School of Computer Science & Engineering Faculty Publications

The paper contains author’s memories of his mentor and teacher R. M. Freivalds.

Legalization Of Prostitution And Its Impact On The Market For Human Trafficking, Varunavi Newar

Senior Independent Study Theses

No abstract provided.

A Comparative Analysis Of Photon And Electron Wave Functions In Spherically Symmetric Potentials, Michael Bush

Senior Independent Study Theses

No abstract provided.

Optimal Placement Of Family Planning Centers, Kiera Dobbs

Senior Independent Study Theses

This project investigates and begins to solve the problem of access to family planning services in the United States. We research and implement methods in Operations Research to optimize the location of publicly funded family planning centers in the United States by minimizing travel distance. The solution begins with a designated number of family planning centers for the country. An apportionment integer programming algorithm is then exercised to allocate centers to all the states based on population, percent of population in poverty, and state square mileage. At the state level, we use apportionment again to distribute centers to counties. At …

Developing Primary Pre-Service Teachers' Mathematical Content Knowledge During Practicum Teaching, Sharyn L. Livy, Colleen Vale, Sandra Herbert

Australian Journal of Teacher Education

While it is recognised that a teachers’ mathematical content knowledge (MCK) is crucial for teaching, less is known about when different categories of MCK develop during teacher education. This paper reports on two primary pre-service teachers, whose MCK was investigated during their practicum experiences in first, second and fourth years of a four-year Bachelor of Education program. The results identify when and under what conditions pre-service teachers’ developed different categories of their MCK during practicum. Factors that assisted pre-service teachers to develop their MCK included program structure providing breadth and depth of experiences; sustained engagement for learning MCK; and …

Drawing Place Field Diagrams Of Neural Codes Using Toric Ideals, Nida K. Obatake

Master's Theses

A neural code is a collection of codewords (0-1 vectors) of a given length n; it captures the co-firing patterns of a set of neurons. A neural code is convexly realizable in dimension two if there exist n convex sets in the plane so that each codeword in the code corresponds to a unique intersection carved out by the convex sets. There are some methods to determine whether a neural code is convexly realizable; however, these methods do not describe how to draw a realization, that is, a place field diagram of the code. In this work, we construct toric …

Geometric Control Theory: Nonlinear Dynamics And Applications, Geoffrey A. Zoehfeld

Master's Theses

We survey the basic theory, results, and applications of geometric control theory. A control system is a dynamical system with parameters called controls or inputs. A control trajectory is a trajectory of the control system for a particular choice of the inputs. A control system is called controllable if every two points of the underlying space can be connected by a control trajectory. Two fundamental problems of control theory include:

1) Is the control system controllable?

2) If it is controllable, how can we construct an input to obtain a particular control trajectory? We shall investigate the first problem exclusively …

Mathematical Writing Assignment For Deeper Understanding And Process Writing, Colton Magnant, Saeed Nasseh, Teresa Flateby

Mathematical Sciences: Faculty Publications

Brief Description: The broad goals of this writing assignment are two-fold: 1) To delve deeper into the inner workings of a chosen proof and explore fundamental motivation of the chosen result. 2) To enhance student learning in the area of academic writing in the discipline of mathematics.

By walking the students through a process of academic writing, we address the following DQP proficiencies: Specialized Knowledge, Applied and Collaborative Learning and Intellectual Skills - Use of Information Resources, Mathematics-Specific Intellectual and Practical Skills and Communicative Fluency.

Background and context: This assignment has been used in a Mathematical Structures (introduction-to-proofs) course and …

Cluster Algebras And Maximal Green Sequences For Closed Surfaces, Eric Bucher

LSU Doctoral Dissertations

Given a marked surface (S,M) we can add arcs to the surface to create a triangulation, T, of that surface. For each triangulation, T, we can associate a cluster algebra. In this paper we will consider orientable surfaces of genus n with two interior marked points and no boundary component. We will construct a specific triangulation of this surface which yields a quiver. Then in the sense of work by Keller we will produce a maximal green sequence for this quiver. Since all finite mutation type cluster algebras can be associated to a surface, with some rare exceptions, this work …

Impact Of Music Education On Mathematics Achievement Scores Among Middle School Students, Curt Glendale Willis

Walden Dissertations and Doctoral Studies

Music education has been shown to be related to a variety of positive outcomes, including student achievement in math. This study was conducted to explore the relationship between music education and student achievement in math. The framework for the study was Miendlarzweska and Trost's model of musical instrument training. A deidentified archival data set consisting of middle school students' (N = 116) total math scores on the Iowa Assessments was used to determine the impact of music education on students' math achievement, while controlling for students' sex and socioeconomic status. Changes in student achievement were measured by calculating math scores …

Rural High School Mathematics Instructional Practices And Students' Academic College Readiness, Luajean Erna Bryan

Walden Dissertations and Doctoral Studies

Rural high school graduates in the United States lag behind in college math preparedness, therefore prompting researchers to identify instructional practices that would advance student math performance. This quantitative research study investigated specific teacher practices and their correlation with student gains in college math preparedness on the American College Test (ACT). Data were collected using a teacher questionnaire to quantify the level of reform practices among a sample of six math teachers and used ACT pre and posttests to assess 312 11th grade students' gains in college math readiness in a public rural high school in Southeast Tennessee. Correlation analysis …

Teachers' Perceptions Of Manipulatives During Middle School Math Instruction, Angela L. Vizzi

Walden Dissertations and Doctoral Studies

In a Colorado school district, school personnel and parents were concerned that middle school math proficiency levels were low for 2011-2014 and math teachers were not using manipulatives in their classes to increase math performance. The district's math coordinator did not foresee providing specific professional development (PD) for math manipulative use to address these concerns. Without this PD, math teachers may be ill-quipped to teach math concepts when using manipulatives, which, in turn, could lead to further poor math performance. The purpose of this qualitative bounded collective case study was to explore middle school teachers' perceptions of PD and perceived …

Understanding The Relationships Among Students' Goal Orientations, Self-Efficacy, Anxiety, And Accelerated Academic Success In The Redesign Of Developmental Mathematics, Kelly Ann Hogan

Walden Dissertations and Doctoral Studies

The low success rates of increasing numbers of underprepared students taking developmental mathematics classes 'often minority and economically disadvantaged' are challenging community colleges across the United States. These students, who must start in the lowest levels of precollege mathematics courses, are unlikely to pass the first course and earn a credential. Using a mastery goal orientation theoretical framework, a quantitative, survey research design was used to ascertain any correlations between students' goal orientations, self-efficacy, test anxiety, and success in a new model of learning. Survey data were used to answer 3 research questions: (a) the relationship between success and students' …

A Quantitative Quasi-Experimental Study Of An Online High School Mathematics Remediation Program, Terry Meehan

Walden Dissertations and Doctoral Studies

The local problem that drove this study is that a high school in an upper middle class suburban city in Pennsylvania wants to improve its student scores on its end-of-course Algebra 1 Keystone Exam. The purpose of this study was to conduct a quantitative, quasi-experimental assessment of an online high school mathematics remediation program to determine if the remediation program was successful in its endeavor to remediate students. This research study, informed by the self-efficacy and the behaviorist learning theories, attempted to determine whether students who (a) scored below proficient on the May algebra exam and were placed in the …

The Use Of The Problem Solving Method In A Middle School Mathematics Response To Intervention Program, Robbi Nikkole Brown

Walden Dissertations and Doctoral Studies

Response to Intervention (RTI) has primarily been used as an early intervention in the elementary grades to improve the reading of all students; however, in recent years, mathematics has been added to the program and this addition has not been systematically evaluated. Guided by Deno's problem-solving model, the purpose of this qualitative case study was to gain insight on how middle school mathematics teachers use the problem-solving process to design interventions for struggling students and to understand the strategies they used to implement the plan. The research questions addressed how the problem-solving method is used when creating and implementing interventions, …

Student Perceptions Of Flipped Learning In A High School Math Classroom, Daniel Strohmyer

Walden Dissertations and Doctoral Studies

Flipped classrooms are implemented in more schools each year, particularly in courses requiring increased teacher guidance for mastery. While a foundation of research related to pedagogy and academic outcomes exists, research is limited surrounding student perceptions of the social and learning culture during flipped learning. The purpose of this study was to explore high school math students' lived experiences of flipped learning related to content and instruction, critical thinking, and collaboration and interactions. A phenomenological design was employed using a conceptual framework combining cognitive load theory, sociocultural learning theory, and schema theory. Students from two public high schools in the …

Gender Differences, Learning Styles, And Participation In Higher Mathematics, Hilary Elizabeth Seifert

Walden Dissertations and Doctoral Studies

Students' lack of participation in higher-level mathematics courses is a pressing concern. In a small rural district in Alaska, many high school students elect to opt out of taking higher-level mathematics once the minimum requirement is reached. According to Bandura's self-efficacy construct, a learners' motivation is influenced by their self-beliefs and affect towards learning. Moreover, research on student learning experiences in mathematics suggests a gender difference, with girls preferring that less abstract conceptual knowledge be taught through hands-on activities. As mathematics instruction is traditionally taught through lecture and demonstration, both of which are preferences of the assimilator learning style, this …

Predictors Of U.S. Teachers' Use Of Metacognition In Mathematics Instruction, Regina Lewis

Walden Dissertations and Doctoral Studies

American schools have been struggling with improving achievement in science, technology, engineering, and mathematics for decades. For the last four decades, the overall mathematics performance of 17 year-olds on the National Assessment of Educational Progress has not shown any significant improvement. Mathematics teachers can use metacognitive techniques to make immediate adjustments in instruction that may assist students in becoming more skillful problem solvers. The purpose of this study was to provide new knowledge about the potential predictors of mathematics teachers' use of the six subfactors of the Metacognitive Awareness Inventory for Teachers. The inventory was administered to 120 K-12 grade …

How Social Presence On Twitter Impacts Student Engagement And Learning In A Grade 8 Mathematics Classroom, Shelly Vohra

Walden Dissertations and Doctoral Studies

Social media for personal use has evolved rapidly among adolescents, changing the way they communicate with each other. However, little research has been conducted about how teachers use social media in the classroom to improve student learning. The purpose of this qualitative study was to describe how social presence on Twitter impacts student engagement and learning when a mathematics teacher integrates this social media tool into an instructional unit. The conceptual framework was based on social presence theory developed by Short, Williams, and Christie. This qualitative study used a single case study design. Participants included 6 students and 1 classroom …

Junior High School Teachers' Perceptions Of Math Instruction For African American Students, Sandra Denise Richardson

Walden Dissertations and Doctoral Studies

A mathematics achievement gap exists between 8th grade African American students and other ethnic groups. Guided by the conceptual framework of constructivism, the purpose of this case study was to examine 8, Grade 8 math teachers' perceptions of factors contributing to mathematical performance gap in their African American students and what instructional strategies can be used to help reduce the achievement gap in southwest Georgia. Data were obtained through interviews and classroom observations and were coded and analyzed using typological analysis, followed by inductive analysis. The results of the data revealed teachers perceived recruiting and retaining African American teachers and …