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Parameter Sensitivity Analysis For Co-Mediated Sickle Cell De-Polymerization, Yao Selom Messan

Theses

Sickle cell anemia is an abnormality that causes a deformation in the shape of the red blood cell that hinders the circulation of the red blood cell through the blood vessel. The deformation is caused by the association of monomers to each other to form polymers (polymerization). The oxygenation of the sickle cell may lead to the melting of polymers (depolymerization). Many studies have been conducted to understand the dynamics of depolymerization. This study focuses on the impact of various parameters over the output values in the system of de-polymerization. Both mathematical and statistical approaches for the sensitivity analysis of …

A Twisted Dimer Model For Knots, Heather M. Russell, Moshe Cohen, Oliver Dasbach

Department of Math & Statistics Faculty Publications

We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group.

Bad Boundary Behavior In Star Invariant Subspaces I, William T. Ross, Andreas Hartmann

Department of Math & Statistics Faculty Publications

We discuss the boundary behavior of functions in star invariant subspaces (BH²)¹, where B is a Blaschke product. Extending some results of Ahern and Clark, we are particularly interested in the growth rates of functions at points of the spectrum of B where B does not admit a derivative in the sense of Carathéodory.

A Reduced Set Of Moves On One-Vertex Ribbon Graphs Coming From Links, Heather M. Russell, Susan Abernathy, Cody Armond, Moshe Cohen, Oliver T. Dasbach, Hannah Manuel, Chris Penn, Neal W. Stoltzfus

Department of Math & Statistics Faculty Publications

Every link in R³ can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.

How Teacher Beliefs About Mathematics Affect Student Beliefs About Mathematics, Kelly Smith

Honors Theses and Capstones

No abstract provided.

Integrating Technology And Engineering In A Stem Context, Barry N. Burke, Philip A. Reed, John G. Wells, Robert E. Yager (Ed.), Herbert Brunkhorst (Ed.)

STEMPS Faculty Publications

(First paragraph) Imagine students entering the classroom with an enthusiasm that cannot be contained. They come from all walks of life and with different experiences and backgrounds and are eager to engage in learning. Inspiration and innovation are on their mind. What they learned in their science and math classes is now being applied in another class they take called Technology and Engineering. Opportunity is what they see for their future. Something about connecting all the dots from all their classes propels them to change their outlook, to get involved, to get excited about school and to envision their future.

Re-Analysis Of The World Data On The Emc Effect And Extrapolation To Nuclear Matter, Stacy E. Karthas

Honors Theses and Capstones

The EMC effect has been investigated by physicists over the past 30 years since it was discovered at CERN. This effect shows that the internal nucleon structure varies when in the nuclear medium. Data from SLAC E139 and JLab E03 103 were studied with the Coulomb correction and directly compared. The Coulomb distortion had a greater impact on the JLab data due to slightly lower energies and different kinematics. The EMC ratio was found to have a dependence on a kinematic variable, which was removed when Coulomb corrections were applied. The methodology was developed to apply Coulomb corrections, which had …

Markov Chain Theory With Applications To Baseball, Cal D. Thomay

Senior Independent Study Theses

The applications of Markov chains span a wide range of fields to which models have been designed and implemented to simulate random processes. Markov chains are stochastic processes that are characterized by their memoryless property, where the probability of the process being in the next state of the system depends only on the current state and not on any of the previous states. This property is known as the Markov property. This thesis paper will first introduce the theory of Markov chains, along with explaining two types of Markov chains that will be beneficial in creating a model for analyzing …

Neutrosophic Theory And Its Applications : Collected Papers - Vol. 1, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic Theory means Neutrosophy applied in many fields in order to solve problems related to indeterminacy. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every entity together with its opposite or negation and with their spectrum of neutralities in between them (i.e. entities supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every entity tends to be …

Algebraic Structures On Real And Neutrosophic Semi Open Squares, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Here for the first time we introduce the semi open square using modulo integers. Authors introduce several algebraic structures on them. These squares under addition modulo ‘n’ is a group and however under product  this semi open square is only a semigroup as under  the square has infinite number of zero divisors. Apart from + and  we define min and max operation on this square. Under min and max operation this semi real open square is a semiring. It is interesting to note that this semi open square is not a ring under + and  since …

Collected Papers, Vol. V, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

Inversion Of The Broken Ray Transform, Roman Krylov

Electronic Theses and Dissertations

The broken ray transform (BRT) is an integral of a function along a union of two rays with a common vertex. Consider an X-ray beam scanning an object of interest. The ray undergoes attenuation and scatters in all directions inside the object. This phenomena may happen repeatedly until the photons either exit the object or are completely absorbed. In our work we assume the single scattering approximation when the intensity of the rays scattered more than once is negligibly small. Among all paths that the scattered rays travel inside the object we pick the one that is a union of …

The Correlation Between The Geographical Region Of A High School And The Enrollment Ratio Of Males To Females In Accelerated College-Preparatory Level Mathematics Courses, Mary Anne Latragna

Dissertations

Females, in this modern age of feminism, have excelled in all fields of study and graduate from college in larger numbers than males. However, few women go into the STEM fields (Hill, Corbett, & St. Rose, 2010). To close this gap in mathematics-related fields, it is paramount that high schools produce female students who are advanced in Mathematics. The problem was the underrepresentation of females in mathematical fields of study, with a more pressing issue of underrepresentation of females in college preparatory mathematics classes at the high school level. The purpose of this study was to determine if the geographical …

An Analysis Of Parent, Student, And Staff Satisfaction With Supplemental Educational Services (Ses) To Improve Student Achievement Among At-Risk High School Students In Failing Schools, Cynthia A. Williams-Lanier

Master's Theses and Doctoral Dissertations

The purpose of this study was to examine parent, student, administrator, and staff satisfaction with supplemental education services (SES) provided at a small, nonprofit, community-based, African-centered program (Alkebu-lan Village) that focused on improving English language arts and mathematics achievement among at-risk high school students. Alkebu-lan Village, an SES provider, offered an integrated comprehensive program that combined academic tutoring with breakfast and lunch, as well as social and physical activities. A mixed methods study was conducted to determine if participation in a SES (Alkebu-lan Village) improved high school students’ reading and mathematics achievement. Student records were used to obtain the pre …

Cracking The Code On Stem: A People Strategy For Nevada's Economy Executive Summary, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni

Brookings Mountain West Publications

Nevada has in place a plausible economic diversification strategy—and it’s beginning to work. Now, the state and its regions need to craft a people strategy. Specifically, the state needs to boost the number of Nevadans who possess at least some postsecondary training in the fields of science, technology, engineering, or math—the so-called “STEM” disciplines (to which some leaders add arts and design to make it “STEAM”).

The moment is urgent—and only heightened by the projected worker needs of Tesla Motors’ planned “gigafactory” for lithium-ion batteries in Storey County.

Even before the recent Tesla commitment, a number of the more high-tech …

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

ETSU Faculty Works

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.

Hittingtime And Pagerank, Shanthi Kannan

Master's Theses

In this thesis, we study convergence of finite state, discrete, and time homogeneous Markov chains to a stationary distribution. Expressing the probability of transitioning between states as a matrix allows us to look at the conditions that make the matrix primitive. Using the Perron-Frobenius theorem we find the stationary distribution of a Markov chain to be the left Perron vector of the probability transition matrix.

We study a special type of Markov chain &mdash random walks on connected graphs. Using the concept of fundamental matrix and the method of spectral decomposition, we derive a formula

that calculates expected hitting times …

Measuring Student Satisfaction In Online Math Courses, Antoinette M. Davis

Theses and Dissertations--Curriculum and Instruction

Colleges and universities worldwide have struggled to find a way to measure student satisfaction in online courses. This study examined the growth of math courses that are delivered in the online format. This study aims to address many gaps in the research literature concerning distance education using technology. In particular, it is the intention of this study to investigate satisfaction and performance of students as a result of taking online courses.

There has been an expanding concern over whether students are satisfied and can perform well in courses taken in an online environment. Satisfaction and performance in distance education have …

Mathematics: Creating Value For Engineering Students, Eileen Goold

Conference Papers

While students’ attainment in mathematics and their attitudes about mathematics are strongly inter-related, value is an important concept in mathematics education. It is arguable that lecturers, especially in engineering faculties, know little about the relationships students form with mathematics; for example what value do engineering students place on mathematics learning? Mathematics is often perceived as a difficult subject and it is associated with certainty and with being able to get the right answer. However the narrowness of the assessment process overshadows predictors of achievement behaviour: expectancy (am I able to do the task?) and value (why should I do the …

Investigating Engineering Practice Is Valuable For Mathematics Learning, Eileen Goold

Conference Papers

While engineering mathematics curricula often prescribe a fixed body of mathematical knowledge, this study takes a different approach; second-year engineering students are additionally required to investigate and document an aspect of mathematics used in engineering practice. A qualitative approach is used to evaluate the impact that students’ investigations have on their mathematics learning and whether this approach creates greater value for students compared to curriculum mathematics learning. This article contains an account of students’ engagement with and their emotional responses to their investigations of professional engineers’mathematics usage.The study illustrates the positive changes in students’ mathematics attitudes arising from their insights …

On Crittenden And Vanden Eynden's Conjecture, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

It is possible to cover all (positive) integers with n geometrical progressions of integers? Find a necessary and sufficient condition for a general class of positive integer sequences such that, for a fixed n , there are n (distinct) sequences of this class which cover all integers.

How We Got From There To Here: A Story Of Real Analysis, Eugene Boman, Robert Rogers

Milne Open Textbooks

The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.

This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) …

Supporting Middle School Students With Emotional Or Behavioral Disorders In Blended Learning: A Fraction Intervention Using Virtual Manipulatives, Barbara Serianni

Electronic Theses and Dissertations

Students with emotional or behavioral disorders (EBD) are more likely than other students with disabilities to drop out of school (Blackorby & Wagner, 1996) and suffer societal consequences that include higher probabilities and rates of incarceration, poverty, drug abuse, homelessness, low wages, and unemployment (Bradley, Doolittle, & Bartolotta, 2008; Wagner, 1995). High school graduation is a critical factor to improve post-secondary outcomes for students with EBD; yet it is often mathematics, specifically algebra, that stands in the way of graduation (Blackorby & Wagner). Students with EBD often enter middle school lacking foundational mathematics skills, such as fractions, which sets them …

A Systematic Review Of Research On Successful African American Students In Mathematics: Implications For Seminole High School, Trung Vong

Electronic Theses and Dissertations

The purpose of this study was to synthesize the counter-narratives of mathematically successful African American students. The gap in educational achievement between African American and White students is well documented in the United States, especially in mathematics education. Although Florida Comprehensive Assessment Test scores have increased for both groups at Seminole High School, the gap has remained over 30% for nearly a decade. Most research on this topic has focused on the reasons why African American students fail to achieve. Various individual, social, and organizational factors have been suggested. However, a growing body of research has highlighted the stories of …

How Do District Level And Building Level Leaders Collaborate To Implement Mandated Change?, Gwendolyn Zimmermann

Dissertations

This research study examined how school leaders, in particular the associate superintendent of curriculum and a junior high school principal, in the same district collaborated to plan for and implement mandated change. In this research study, the mandated change was that of the State's adoption of the Common Core State Standards for Mathematics.

This study utilized a case study methodology. The case study included one case of an associate superintendent of curriculum for the district and a junior high school principal located in suburban Cook County bounded within the timeframe of August 2012 to October 2013. The district identified had …

Keeping Your Options Open: An Introduction To Pricing Options, Ryan F. Snyder

Senior Independent Study Theses

An option is a contract which gives the holder of the option the right, but not the obligation, to buy or sell a given security at a given price, which is called the strike price. For example, suppose Yahoo stock is currently trading at $10 per share. A person could buy an option that gives him or her the ability to purchase shares of Yahoo stock for $12 in one year. If the price of Yahoo stock is greater than $12 in one year, the holder of the option will make money. However, he or she will not use the …

A Bayesian Model Of Fertility Decisions In Relationship To Female Labor Force Participation, Rebecca C. Wardrop

Senior Independent Study Theses

Due to the increasing number of women in the labor force, opportunity costs associated with labor force participation are becoming an important factor in fertility decisions. Further, these decisions are assumed to be dynamic as the opportunity costs change as a woman progresses through her career. A Bayesian statistical model , which allows the distribution of the likelihood of having children to be updated as information is gathered, lends itself to the dynamicity of the decision-making process. A generalized model for fertility decisions in terms of labor force participation is created. I also discuss potentials for implementation and furthering the …

The Analytic Hierarchy Process: A Mathematical Model For Decision Making Problems, Giang Huong Nguyen

Senior Independent Study Theses

The ability to make the right decision is an asset in many areas and lines of profession including social work, business, national economics, and international security. However, decision makers often have difficulty choosing the best option since they might not have a full understanding of their preferences, or lack a systematic approach to solve the decision making problems at hand. The Analytic Hierarchy Process (AHP) provides a mathematical model that helps the decision makers arrive at the most logical choice, based on their preferences. We investigate the theory of positive, reciprocal matrices, which provides the theoretical justification of the method …

Generalist And Specialist Pollination Syndromes: When Are They Favoured? A Theoretical Approach To Predict The Conditions Under Which A Generalist Or Specialist Pollination Syndrome Is Favoured., Tyler L. Poppenwimer

Senior Independent Study Theses

No abstract provided.

Valuing Assessment In Teacher Education - Multiple-Choice Competency Testing, Dona L. Martin, Diane Itter

Australian Journal of Teacher Education

When our focus is on assessment educators should work to value the nature of assessment. This paper presents a new approach to multiple-choice competency testing in mathematics education. The instrument discussed here reflects student competence, encourages self-regulatory learning behaviours and links content with current curriculum documents and with collaborative and cooperative learning episodes.