Digital Commons Network^™

The Relationship Between Students' Act Math Subscores And High School Math Course Completion In Tennessee, Jacob Carver

Ed.D. Dissertations

In 2009, President Barack Obama and legislators passed the American Recovery and Reinvestment Act (ARRA), which financed the Race to the Top Fund. To receive funding from the Race to the Top, Tennessee educators and legislators implemented the Tennessee Diploma Project in 2009. The Tennessee Diploma Project increased graduation requirements for students in terms of coursework and assessments. Tennessee educators and legislators anticipated the increased graduation requirements would increase students’ achievement and ACT scores (college readiness skills). In mathematics, the graduation requirement increased from three high school math courses to four high school math courses: Algebra I, Geometry, Algebra II, …

The Effect Of Comprehensive Instructional Program On Grades 3-8 Student Achievement, Marcia Shortt

Ed.D. Dissertations

Student achievement and the state Standards of Learning testing was a critical criterion for success for school districts, administrators, and teachers. The researcher in this study investigated the efficacy of the Comprehensive Instructional Program in improving student achievement in reading and mathematics and whether school configuration impacted student achievement. The population consisted of all students in District A in Virginia who took achievement tests in reading and math in 2012-2018. The researcher determined there was a significant difference in reading and math scores between pre‑implementation and post-implementation in grades 3-8 as measured by the Virginia Standards of Learning testing program …

Two Way Street: An Applied Research Study On The Effects Of Increased Parent And Community Involvement Activities On Student Academic Growth In Mathematics At South Lee Middle School, Jason Clifton Arledge

Electronic Theses and Dissertations

The purpose of this study was two-fold. The first overarching goal was to increase student academic growth on the Mississippi Academic Assessment Program mathematics assessment to at least 75%. This was attempted through implementation of grade-level Remind services and the Red Raider Family program. The second overarching goal was to create a cycle of continuous improvement through feedback from key stakeholders in the form of surveys, interviews, focus groups, document analysis, and descriptive statistics. South Lee Middle School evaluated each of these initiatives and utilized resources to adjust these programs for use in the 2018-2019 school year.

Cramer Type Moderate Deviations For Random Fields And Mutual Information Estimation For Mixed-Pair Random Variables, Aleksandr Beknazaryan

Electronic Theses and Dissertations

In this dissertation we first study Cramer type moderate deviation for partial sums of random fields by applying the conjugate method. In 1938 Cramer published his results on large deviations of sums of i.i.d. random variables after which a lot of research has been done on establishing Cramer type moderate and large deviation theorems for different types of random variables and for various statistics. In particular results have been obtained for independent non-identically distributed random variables for the sum of independent random to estimate the mutual information between two random variables. The estimates enjoy a central limit theorem under some …

Feedback In The Flipped High School Stem Classroom, Trisha Michele Gilbreath

Electronic Theses and Dissertations

This study examined how much feedback students received in the flipped high school science, technology, engineering and math (STEM) classroom. The flipped classroom is a pedagogical technique where students watch video instruction at home and complete collaborative activities in class. This technique has gained popularity in recent years, especially in STEM classrooms. The literature on the flipped classroom is inconclusive, with studies mainly conducted in higher education. Student and instructor perceptions were often studied, and those perceptions are generally positive about the flipped classroom, though there are concerns to consider. Student performance shows that the flipped classroom is at least …

A Qualitative Study Of Instructional Practices For English Learners In Elementary Mathematics, Katie Corinne Baum

Walden Dissertations and Doctoral Studies

It is important for elementary teachers to provide quality mathematics instruction for English Learner (EL) students to close achievement gaps. Elementary mathematics teachers in the Keystone School District were struggling to implement instructional practices for EL students in mathematics as evidenced by communications with teachers, administrators, and documents from the state-required action plan. The purpose of this study was to explore the instructional practices and the challenges encountered by teachers related to providing mathematics instruction for ELs. The Sheltered Instruction Observation Protocol Model served as the conceptual framework. The research questions focused on the instructional practices that teachers were implementing …

Teachers' Perceptions About Instructing Underachieving K-5 Students On Mathematical Word Problem-Solving, Crystal Yvette Baldwindouglas

Walden Dissertations and Doctoral Studies

The state of Maryland has implemented the Common Core State Standards for Mathematics (CCSSM) operations & algebraic thinking and number & operations-fractions with emphasis on students in Grades K-5 acquiring the ability to solve word problems for state and curriculum math assessments. However, since the implementation of CCSSM, 30% of elementary students in a Maryland school district have demonstrated underachievement (basic or below basic level) on problem-solving sections of the state and school standardized tests. This qualitative case study, guided by Polya's model of the four phases of mathematical problem-solving, was conducted to address this problem. The research questions addressed …

Rural Teachers' Perceptions Of Collaboration And Professional Growth In Mathematics, Katherine M. Burns

University of the Pacific Theses and Dissertations

Teachers are a focal point in rural communities, building educational and cultural connections between the families and schools they serve on a daily basis. At the same time, geography and other constraints can impact rural teachers’ access to professional development and other resources. This mixed methods exploratory study focuses on a two-year professional learning program that supported rural teachers’ (n=38) professional growth in mathematics and encouraged the development of a collaborative Community of Practice spanning 14 elementary school sites in four Northern California counties.

Research methods incorporated a secondary data analysis, as well as the collection of new data. Quantitative …

Road To Regionals: A S.T.E.A.M. Team Novel, Erin Distefano

Children's Book Writing and Illustrating (MFA) Theses

This thesis is composed of two parts. First a full-length realistic fiction Middle Grade novel about a group of five girls who form a S.T.E.A.M. (science, technology, engineering, arts and mathematics) team at their school and compete in multiple tournaments. Through the story they learn not only about themselves, but about each other and help each other to succeed. The second part is a critical paper on how girls are treated in the S.T.E.A.M. world and how more S.T.E.A.M. literature (along with other things) can help to guide girls to more S.T.E.A.M. related fields later in life. It also discusses …

Predictive Validity Of I-Ready Diagnostic Scores For High-Stakes Test Outcomes With Middle School Students : A Program Evaluation, Rachel Eva Aguilar

Legacy Theses & Dissertations (2009 - 2024)

Assessment is a powerful tool that can be utilized to enhance teaching and learning. Within a response-to-intervention (RtI) framework, data collected via assessment are used to measure student proficiency, track progress, and subsequently align instruction with student learning needs. The purpose of this program evaluation was to explore the use of a computer-adaptive testing (CAT) measure, i-Ready Diagnostic, as part of a rural middle school’s assessment process, within an RtI model. This program evaluation sought to gather evidence regarding the ability of different i-Ready reading and math measures, administered in the fall, winter, and spring, to predict student performance on …

Coarse Geometric Coherence, Jonathan Lee Grossman

Legacy Theses & Dissertations (2009 - 2024)

This dissertation establishes three coarse geometric analogues of algebraic coherence: geometric coherence, coarse coherence, and relative coarse coherence. Each of these coarse geometric coherence notions is a coarse geometric invariant. Several permanence properties of these coarse invariants are demonstrated, elementary examples are computed, and the relationships that these properties have with one another and with other previously established coarse geometric invariants are investigated. Significant results include that the straight finite decomposition complexity of A. Dranishnikov and M. Zarichnyi implies coarse coherence, and that M. Gromov’s finite asymptotic dimension implies coherence, coarse coherence, and relative coarse coherence. Further, as a consequence …

Stem Education : A Programmatic And Economic Analysis, Rebecca Kate Laforest

Legacy Theses & Dissertations (2009 - 2024)

Innovations of the 21st century have created a need for a highly skilled and adaptable workforce. In this search, industry representatives are having a difficult time finding highly qualified US candidates. From private firms to public officials and economic analysts to educators, many acknowledge the need to update training and education to better prepare our future workforce. This work will examine the performance of students in the United States, the current employment landscape, the evolution of education in the US, and trends in education to support college and career preparation. This work will then analyze specific facets of new educational …

A First-Year Teacher’S Implementation Of Short-Cycle Formative Assessment Through The Use Of A Classroom Response System And Flexible Grouping, Adrienne Irving Dumas

Electronic Theses and Dissertations

As teachers we are tasked with ensuring that our students are equipped with the skills necessary to not only perform with proficiency on local state and national assessments but also to provide our students with opportunities to develop confidence and competence as learners of mathematics through meaningful challenging and worthwhile activities. As such many teachers have turned to technology and cooperative groups as staples in the classroom. The purpose of this study was to understand how one first-year teacher implemented what she was taught in her undergraduate coursework in teaching two specific units of instruction in two sections of high …

Beta Invariant And Variations Of Chain Theorems For Matroids, Sooyeon Lee

Electronic Theses and Dissertations

The beta invariant of a matroid was introduced by Crapo in 1967. We first find the lower bound of the beta invariant of 3-connected matroids with rank r and the matroids which attain the lower bound. Second we characterize the matroids with beta invariant 5 and 6. For binary matroids we characterize matroids with beta invariant 7. These results extend earlier work of Oxley. Lastly we partially answer an open question of chromatic uniqueness of wheels and prove a splitting formula for the beta invariant of generalized parallel connection of two matroids. Tutte's Wheel-and-Whirl theorem and Seymour's Splitter theorem give …

An Examination Of The Relationship Among The Intentions, Features, Affordances, And Outcomes Of Saturday Academy For Math Professional Development For Mathematics Teachers, Brian Buckhalter

Electronic Theses and Dissertations

Using a design framework to connect the features of SA4M to the affordances reported, participants of SA4M deepened their content knowledge on both conceptual and skill specific levels, and expressed intentions to incorporate many of the tasks from SA4M into their practices. There are implications for those tasked with creating and evaluating professional development for teachers.

Teachers' Perceptions Of The Sustainability Of Mathematics And Science Partnership Professional Development, Robert Harold Alt

Walden Dissertations and Doctoral Studies

The sustainability of improved pedagogy gained through professional development (PD) of mathematics teachers has undergone little empirical study. In a midsized urban school district in the Northeastern United States, all high school mathematics teachers attended a 3-year mandatory PD program. Although an external evaluator studied this program immediately after completion, there had been no longitudinal study of the perceptions of its participants regarding the sustained benefits of the program. This qualitative study offered a follow-up study of the participants in the Math and Science Partnership (MSP) PD program to provide insight to administrators regarding the sustainability of benefits gained through …

Practical Chaos: Using Dynamical Systems To Encrypt Audio And Visual Data, Julia Ruiter

Scripps Senior Theses

Although dynamical systems have a multitude of classical uses in physics and applied mathematics, new research in theoretical computer science shows that dynamical systems can also be used as a highly secure method of encrypting data. Properties of Lorenz and similar systems of equations yield chaotic outputs that are good at masking the underlying data both physically and mathematically. This paper aims to show how Lorenz systems may be used to encrypt text and image data, as well as provide a framework for how physical mechanisms may be built using these properties to transmit encrypted wave signals.

An Investigation Into How Teachers Develop Connected Approaches To School Mathematics, Nicola Jane Trubridge

School of Engineering, Computing and Mathematics Theses

This thesis details the longitudinal case study of a mathematics department as they implemented aspects of the Collaborative Connected Classroom (CCC) Model, a literature informed framework exemplifying teaching for understanding. The CCC Model describes the nature of mathematical activity as: activities build on learners’ prior knowledge; tasks connect different areas of mathematics or connect different ideas using multiple representations; links are made between procedures and concepts; tasks involve making comparisons and application tasks are presented as challenges. A CPD programme was designed to demonstrate the CCC Model to the department through a series of engaging, challenging and inspiring activities. Then, …

Mean Value Theorems For Riemannian Manifolds Via The Obstacle Problem, Brian Benson, Ivan Blank, Jeremy Lecrone

Department of Math & Statistics Faculty Publications

We develop some of the basic theory for the obstacle problem on Riemannian manifolds, and we use it to establish a mean value theorem. Our mean value theorem works for a very wide class of Riemannian manifolds and has no weights at all within the integral.

Stem On A Budget: A Basic Guide For Teaching Stem In Ops Afterschool Programs, Tyrome Williams

Criss Library Faculty Publications

This guide was written with the goal of providing a rough lesson plan, which could act as a supplemental guide for sustainable activities at sites in the Omaha area to better serve their students and children. The STEM lessons I chose in this book are engaging, hold education value, and are cost effective if used properly. This book contains valuable information to supplement STEM learning. Whether you’re a teacher, instructor, supervisor for children, or a substitute; you will always be the most valuable asset in your classroom. This is a free use document and should not be sold for any …

Fourth-Grade Teachers Use Of Mtss-Rti To Teach Mathematical Word Problem-Solving, Theodell Joanna Blake

Walden Dissertations and Doctoral Studies

Schools in Florida used the multitiered system of support response to intervention framework to help students achieve the state and national standards but, in the national report card, 61% of the fourth-graders assessed in mathematics failed to achieve proficiency. Research indicated that the students lacked mathematical word problem-solving skills. The purpose of the qualitative study was to discover how fourth-grade special and general education teachers used the response to intervention framework evidence-based curriculum, instruction, intervention, assessment, and student data to teach math word problem-solving skills to children who have persistent and significant difficulties. Welner'€™s zone of mediation framework and Vygotsky'€™s …

The Encyclopedia Of Neutrosophic Researchers - Vol. 3, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This is the third volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: …

Neutrosophic Triplet Structures - Vol. 1, Florentin Smarandache, Memet Sahin

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory was firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and engineering applications. Since then, the single valued neutrosophic set theory has been extensively studied in books and monographs, the properties of neutrosophic sets …

Sliding Into An Equitable Lesson, Kelley E. Buchheister 6872059, Christa Jackson, Cynthia E. Taylor

Department of Child, Youth, and Family Studies: Faculty Publications

A kindergarten teacher uses Gutierrez's four dimensions of equity to design and facilitate geometry instruction.

Equitable instruction is reflected in how students are positioned in the classroom and how their identities evolve through purposeful interactions that value and recognize the intellectual capacity of each student (Gutiérrez 2013; Lemons-Smith 2008). These integral interactions occur when teachers and students exchange problem-solving strategies, discuss relations among various mathematical representations, and listen to the viewpoints of others (NCTM 2000; 2014).

Modelling Potential Fluctuations In Double Layer Graphene Systems As A Periodic Oscillation In Electron Density & Its Effect On Coulomb Drag, Ryan Bogucki

Williams Honors College, Honors Research Projects

An expression for the drag transresistivity in a graphene double layer system exhibiting potential fluctuations modelled as a periodic oscillation in electron density is derived. Our model starts from the Coulombic interaction and we derive the correlation between a sinusoidal fluctuation in electron density in the first layer and the induced electron density in the second layer. Previous models in the literature have employed an arbitrary correlation between each layer’s electron density, and the model presented is the first attempt in the literature to explicitly derive this correlation. Recent experiments have found that the drag transresistivity in graphene double layers …

Why We Teach Mathematics To Every Student: Determining Impact Of Mathematics On Problem Solving And Logical Reasoning Skills, Megan Marie Harris

Williams Honors College, Honors Research Projects

The purpose of this paper is to dissect why it is important to teach mathematics to every student, even if the student does not plan on pursuing mathematics in his or her career. This paper will describe and test various reasons why mathematics is taught to every student but it will focus on math as a way to help develop and improve problem-solving and logical reasoning skills. An experiment was conducted on a random sample of fourteen University of Akron students who were measured on their problem-solving abilities and critical thinking through playing two games. These students were then compared …

A Self-Contained Course In The Mathematical Theory Of Statistics For Scientists & Engineers With An Emphasis On Predictive Regression Modeling & Financial Applications., Tim Smith

Open Access Textbooks

Preface & Acknowledgments

This textbook is designed for a higher level undergraduate, perhaps even first year graduate, course for engineering or science students who are interested to gain knowledge of using data analysis to make predictive models. While there is no statistical perquisite knowledge required to read this book, due to the fact that the study is designed for the reader to truly understand the underlying theory rather than just learn how to read computer output, it would be best read with some familiarity of elementary statistics. The book is self-contained and the only true perquisite knowledge is a solid …

Barrier Graphs And Extremal Questions On Line, Ray, Segment, And Hyperplane Sensor Networks, Kirk Anthony Boyer

Electronic Theses and Dissertations

A sensor network is typically modeled as a collection of spatially distributed objects with the same shape, generally for the purpose of surveilling or protecting areas and locations. In this dissertation we address several questions relating to sensors with linear shapes: line, line segment, and rays in the plane, and hyperplanes in higher dimensions.

First we explore ray sensor networks in the plane, whose resilience is the number of sensors that must be crossed by an agent traveling between two known locations. The coverage of such a network is described by a particular tripartite graph, the barrier graph of the …

Course Portfolio For Math 872: Topology Ii, Alex Zupan

UNL Faculty Course Portfolios

In this course portfolio, I explore tactics for engaging a group of beginning mathematics graduate students taking the second semester of the first-year sequence in topology. Course objectives include computing algebraic invariants of topological spaces, understanding the Galois correspondence between covering spaces and fundamental groups, and using a range of invariants to distinguish spaces. My main instructional tools include a series of three "Activities" tailored to each student, a project involving computing invariants with the program SnapPy and using homology of covering spaces to distinguish 3-dimensional knots, and individual student board work during class periods. The activities served as benchmarks …

Math 314: Linear Algebra-A Peer Review Of Teaching Project Benchmark Portfolio, Xavier Pérez-Giménez

UNL Faculty Course Portfolios

My intention with this portfolio is to present my approach to teaching Math 314. This is a linear algebra course for senior-year undergraduate students in different STEM programs. The course serves as a transition from computational courses, such as calculus, to more theoretical ones, and exposes students, possibly for the first time, to abstract mathematical objects (such as general vector spaces) and simple proofs. Several lecture-based strategies are discussed and evaluated in connection with student learning outcomes. I also present samples of course materials and student work.