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Green's Functions Of Discrete Fractional Calculus Boundary Value Problems And An Application Of Discrete Fractional Calculus To A Pharmacokinetic Model, Sutthirut Charoenphon

Masters Theses & Specialist Projects

Fractional calculus has been used as a research tool in the fields of pharmacology, biology, chemistry, and other areas [3]. The main purpose of this thesis is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of drug concentration. In Chapter 1, the Gamma function and its properties are discussed to establish a theoretical basis. Additionally, the basics of discrete fractional calculus are discussed using particular examples for further calculations. …

Game Time: Choosing Apps And Games That Align To The Common Core, Ryan G. Zonnefeld, Valorie L. Zonnefeld

Faculty Work Comprehensive List

No abstract provided.

The Academic Preparation And Background Of Public Secondary Mathematics Teachers In Utah 1966-1967, Charles Martin Crittenden

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

A random survey was conducted to determine the academic preparation and background of the public secondary mathematics teachers in the state of Utah.

The survey indicated that there is a wide variance in the teacher mathematics preparation between the three types of public secondary schools. The class B high schools have a smaller percentage of well prepared mathematics teachers than either the class A high schools or the junior high schools.

The following facts were discovered: (1) 22.03 percent of all the surveyed mathematics teachers had between 1 and 15 quarter hours of college mathematics preparation, (2) 5.22 percent had …

Implementing The Common Core’S Promise Of Bringing Statistical Curricula Into Line With Recommendations Of Nctm, Maa, & Gaise, Beverly Wood, Carl Clark

Publications

We plan to make a case for the necessity of GAISE-aligned college courses in order to prepare future teachers to teach in Common Core K-12 classrooms. Beginning with an overview of the parallel evolutions of Cobb/MAA suggestions - GAISE recommendations for teaching and NCTM process standards - Common Core mathematical practices, we will emphasize that we should be modeling what researchers continually conclude are best practices for teaching/learning across the K-16 continuum. We will provide some examples to illustrate classroom tasks that satisfy both GAISE and Common Core and hope to generate some discussion of other activities already used by …

A Three-Part Study In The Connections Between Music And Mathematics, Molly Elizabeth Anderson

Undergraduate Honors Thesis Collection

The idea for this thesis originated from my fascination with the studies of both music and mathematics throughout my entire life. As a triple major in Middle/Secondary Math Education, Mathematics, and Music, I have learned more than I thought possible of music and math. In proposing this thesis, I desired to use my knowledge of arithmetic and aesthetics to research how music and mathematics are intertwined. I am confident that the following three chapters have allowed me to develop as an academic in both music and mathematics. This thesis serves as a presentation of the connections of music and math …

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

The Impact Of Computer-Adaptive Benchmark Data And Assessment Literacy On Student Achievement And Motivation In Mathematics, Sheryl J. Rushton

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Over the past several decades there has been an emphasis in educational research on student assessment and achievement in mathematics. Formative assessments are designed to inform the instructional decision making process and require assessment literacy to interpret and use data provided by these assessments. Many teachers and students were lacking assessment literacy; therefore, they were unable to adjust their instruction and study habits to increase student performance on summative assessments.

This study investigated the impact Scholastic Math Inventory (SMI) benchmarks and assessment literacy training had on summative assessments and student motivation in mathematics. The researcher analyzed unit posttest scores and …

Middle School Student Perceptions Of Homework In Mathematics, Camille M. Thomas

Honors Scholar Theses

Homework has been a source of debate in schools for the past several decades and will continue to be an important topic in the future. It is a traditional part of education but some debate its importance in the classroom. This study explored student perception of homework and their reported performance in middle school mathematics. The research questions focused on student attitudes about homework, the relationship of students’ self-efficacy and support resources to their homework completion, and the relationship of students’ general level of achievement in mathematics to their attitudes about homework. The study involved a survey of 230 middle …

Common Themes Associated With Teacher-Identified Obstacles To Implementing Change In Mathematics Instruction Attributable To Participation In Mathematics Professional Development, Ronald A. Twitchell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study had three purposes: first, explore any common phenomenon of secondary mathematics teachers’ experience in secondary mathematics professional development (MPD); second, determine if there were positive changes in teacher attitudes after completing secondary MPD; and finally, if a positive change in teacher attitude was identified, describe the shared experiences in secondary MPD to in a way that cannot be revealed through ordinary observations. It was the intent of this study to identify positive changes in teacher attitudes not to measure their magnitude. This study implemented a mixed methods design using descriptive statistics and categorical analysis on data from pre- …

From Graph Coloring To Receptor Clustering, Ye Chen

Graduate Theses, Dissertations, and Problem Reports (ETD)

1. Hued colorings for planar graphs, graphs of higher genus and K4-minor free graphs.;For integers k, r > 0, a (k,r) -coloring of a graph G is a proper coloring of the vertices of G with k colors such that every vertex v of degree d(v) is adjacent to vertices with at least min{lcub}d(v) ,r{rcub} different colors. The r-hued chromatic number, denoted by Xr (G), is the smallest integer k for which a graph G has a ( k,r)-coloring. A list assignment L of G is a function that assigns to every vertex v of G a set L(v) of positive …

2014 Sonia Kovalevsky Math For Girls Day Program, Association For Women In Mathematics, Lincoln University Of Missouri, Kjlu Radio Station, Ameren Ue Callaway Plant Win- Women In Nuclear

Math for Girls Day Documents

9th Annual Lincoln University Sonia Kovalevsky Math for Girls Day program on April 25, 2014.

2014 Sonia Kovalevsky Math For Girls Day Registration Form, Association For Women In Mathematics, Lincoln University Of Missouri, Donna L. Stallings

Math for Girls Day Documents

Registration form for 9th Annual Lincoln University Sonia Kovalevsky Math for Girls Day on April 25, 2014.

Moving Toward Equitable, Accessible, And Relevant Mathematics For All. A Book Review Of Rethinking Mathematics: Teaching Social Justice By The Numbers, Lauren Provost

Democracy & Education

A book review of Rethinking Mathematics: Teaching Social Justice by the Numbers, edited by Eric Gutstein and Bob Peterson.

An Exploration Into The Barriers And Facilitators Experienced By University Graduates With Disabilities Requiring Personal Assistance Services, Norma J. Stumbo, Bradley N. Hedrick, Courtney Weisman, Jay K. Martin

Journal of Science Education for Students with Disabilities

The purpose of this preliminary study was to explore the residual barriers and facilitators for a selected group of individuals with severe physical disabilities who had been afforded a comprehensive set of strategies and services aimed at meeting their basic personal as well as academic needs. Their perceptions of both barriers and facilitators, experienced while in school and post-graduation, were the focus of this qualitative research study. Due to the funding source, differences between individuals who majored in science, technology, engineering, and mathematics (STEM) and non-STEM fields were also explored. Personal interviews were conducted with a stratified random sample of …

Young Named Editor Of Mathematics Research Journal, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Internet Radio: An Analysis Of Pandora And Spotify, Corinne Loiacono

Honors Projects in Mathematics

Unlike traditional stations, internet radio stations try to complete the task of effectively

identifying the individual in their audience and then cater to their musical taste. The

effectiveness of these stations can be analyzed through popular music customization mediums,

such as Pandora and Spotify. This paper seeks to analyze Pandora and Spotify and research

why they are such popular mediums for their users and how effective each site is in satisfying

a need for personalized radio. Specifically, what medium used for internet radio best caters

to the needs of users in terms of website features (extent of personalization and social …

The Impact Of Professional Sports Franchises On Local Economies, Jeffrey Pierro

Honors Projects in Mathematics

There is no doubt that professional sports franchises and stadiums generate a significant amount of economic activity, but is the impact on the local economy positive, negative, or neutral? Studies have shown that, while franchises can give the economy a boost in the short term, there are little to no long-term positive effects. This capstone will examine the trend in public financing of stadiums, look at the impact of stadium location, explore the factors of the economy that are impacted by professional sports franchises, and determine if the effects vary by sport or by region. Several major case studies will …

Active Vs. Passive Portfolio Management, Timothy Greenhill

Honors Projects in Mathematics

In the finance community there is a huge debate about whether or not active portfolio managers can provide better returns than passive managers. While active managers often provide excess returns, the costs of running an active fund offset whatever gains were made in the market. The objective of this report is to figure out whether or not active funds provide larger returns than passive funds on a cost adjusted basis. This report will identify which type of fund is a more cost effective investment, as well as identify different properties of funds and how they operate. The goal of doing …

Relationship Between Classroom Climate, Student Self-Efficacy, And Achievement In The High School Math Classroom, Delaney Carr

Honors Projects in Mathematics

There is a variety of past research regarding the relationship between the mathematics classroom climate and student learning. More specifically, many studies look at how the classroom climate may influence student self-efficacy in math. Furthermore, another quantity of research supports that there is a link between student math self-efficacy and the student’s achievement in the particular subject. The goal of this study is to see if students’ perceptions of their math classroom climate are related to their self-efficacies towards the subject, which therefore affects their achievement in math. It is hypothesized that there is a relationship between the classroom environment …

Mathematics Discipline Assessment Report 2013/2014, Mathematics Discipline

Assessment of Student Learning Reports

No abstract provided.

Fearless Friday: Kirsten Crear, Kirsten Crear

SURGE

Even in her last semester here at Gettysburg, Kirsten Crear ’14 is fearlessly working to make changes for the future of the campus community. This semester, Kirsten introduced a STEMinists club on campus that will give female students who are STEM (an acronym for Science-Technology-Engineering-Mathematics) majors the opportunity to come together and create a community, share and discuss the difficulties they face as women in their fields of study, and support and mentor each other as they prepare to enter their fields.

Kirsten is passionate, driven, and determined, taking the initiative to bring this group of women together on campus …

What Makes A ‘Good’ Definition: Analyzing Students’ Conceptions Of Mathematical Definitions And The Pedagogy Of Definitions In Math Education, Jesse Aston

Seaver College Research And Scholarly Achievement Symposium

What are the key differences between how students view mathematical definitions and how their professors think they do? In this study we follow students during a guided reconstruction exercise in which they create a definition for, in this case, the convergence of a sequence and we record the process on film. Several theoretical frameworks including RME are then used to analyze student responses and behavior throughout the process and determine the difference in perceptions between student and teacher; these differences inform the best method to present definitions to students.

For Each Mathematical Statement, Only Finitely Many Of Its Generalizations Are Useful: A Formal Proof Of E. Bishop's Idea, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Generalization is one of the main mathematical activities. Some generalizations turn out to be useful for working mathematics, while many other generalizations have so far been not very useful. E. Bishop believed that most fruitless-so-far generalizations are hopeless, that every mathematical statement has only a few useful generalizations. In this paper, we show that, under a natural definition of the notion of useful generalization, Bishop's belief can be proven -- moreover, it turns out that for each mathematical statement, only finitely many of its generalizations are useful.

The 'Literacy' Idea, Ross Turner

Assessment GEMS

A central reason why researchers and practitioners refer to domain literacy is to draw attention to the kinds of things students learn in the domain. In a traditional learning domain the focus might be on the acquisition of discrete facts, skills and procedures that have little obvious connection or utility. In a learning domain with a literacy orientation, the focus is on applying the domain’s facts, skills and procedures to support creativity and inventiveness, to solve novel problems and to deal with the kinds of challenges that life presents outside the classroom. In the case of mathematics, for example, a …

The Latin-American Laboratory For Assessment Of The Quality Of Education: Measuring And Comparing Educational Quality In Latin America (Superseded Version), Australian Council For Educational Research

Assessment GEMS

The Laboratorio Latinoamericano de Evaluación de la Calidad de la Educación (Latin-American Laboratory for Assessment of the Quality of Education or LLECE) is the network of national systems for the assessment of education quality in Latin America, created in 1994, and coordinated by UNESCO’s Regional Bureau for Education in Latin America and the Caribbean (OREALC). LLECE’s purpose is to produce data and knowledge that inform educational policy in the region, contribute to capacity building, and serve as a forum for reflection, exchange and generation of new ideas and good practices in education evaluation. LLECE assessments aim to provide information about …

Conditional Tests On Basins Of Attraction With Finite Fields, Ian H. Dinwoodie

Mathematics and Statistics Faculty Publications and Presentations

An iterative method is given for computing the polynomials that vanish on the basin of attraction of a steady state in discrete polynomial dynamics with finite field coefficients. The algorithm is applied to dynamics of a T cell survival network where it is used to compare transition maps conditional on a basin of attraction.

The Efficacy Of Mathematics Education, Eric Geimer

The Transdisciplinary STEAM+ Journal

Evidence supports the notion that mathematics education in the United States is inadequate. There is also evidence that mathematics education deficiencies extend internationally. The worldwide mathematics education deficit appears large enough that improving student performance in this educational problem area could yield great economic benefit. To improve the efficacy of mathematics education, education’s root problems must first be understood. Often supposed educational root problems are considered and contrasted against potential deficiencies of mathematics methodologies and curricula that are based on mainstream educational philosophies. The educational philosophies utilized to form early-grade mathematics methodologies and related curricula are judged to be the …

Math Alumni’S Keystone Computer Solutions: Preparing Youth Of Color For It Professions, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Dynamics Seminar | Dynamics Of Expanding Maps In Heterogeneous Networks, May 12, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Philosophy Of Science Hilbert's Axiomatic Ways Structural And Formal, March 14, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.