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Precovering Dgc-Complexes, Jonathan G. Crosby

College of Graduate Studies: Theses & Dissertations

In this thesis we prove that with the hypotheses that dg e C is injectively resolving and that the class C is closed under arbitrary direct limits we have that the following are equivalent to dgC being covering: Every complex of C-modules is in dg e C and every exact complex of C-modules is in e C.

Compact Filters And The Arzelá-Ascoli Theorem, Nathan Denton Farmer

College of Graduate Studies: Theses & Dissertations

The Arzelà-Ascoli Theorem gives conditions for a set to be compact in a function space, and is a useful theorem for existence proofs in many different mathematical contexts. The most natural structure for Arzelà-Ascoli type theorems is the continuous convergence - which is not necessarily topological even if the underlying base spaces are. Compact filters, on the other hand, are the logical extension of compact sets to filters with similar compactness-type properties. Compact filters have proved to be a useful tool in optimization and analysis. This thesis will show conditions for a filter to be compact on a function space, …

The Diver's Distance, Aristide Zezouma Sanou

College of Graduate Studies: Theses & Dissertations

The visual assessment of clustering tendency (VAT) method, which was developed by J. C. Bezdek, R. J. Hathaway and J. M. Huband uses a reordering of the rows and columns of a dissimilarity matrix; it then displays the ordered dissimilarity matrix (ODM) as a 2D gray-level image called an ordered dissimilarity image (ODI). Al- though successful in determining potential clustering structure of various data sets, the technique offers room for improvement. In this thesis, we propose a new proximity measure called the diver's distance which is defined based on concepts in graph theory. We then theoretically study the diver's distance …

Analysis Of The Family Of Generalized Cumulative Sum Type Control Charts, Wenmin Wang

College of Graduate Studies: Theses & Dissertations

As an aid to the practitioners, various Phase II quality control charts have been developed to monitor for a change in the parameters of the distribution of a quality measurement. In this project, the family of generalized cumulative sum type charts was studied. An equivalent chart version that requires fewer parameters was given. Some useful integral equations were derived for determining the run length distribution of the lower and upper one-sided charts. The Markov chain methods were also given. The parameters unknown version was presented and the performance analysis was studied for the chart for monitoring for a change in …

Cycles, Disjoint Spanning Trees And Orientations Of Graphs, Yanting Liang

Graduate Theses, Dissertations, and Problem Reports (ETD)

A graph G is hamiltonian-connected if any two of its vertices are connected by a Hamilton path (a path including every vertex of G); and G is s-hamiltonian-connected if the deletion of any vertex subset with at most s vertices results in a hamiltonian-connected graph. We prove that the line graph of a (t + 4)-edge-connected graph is (t + 2)-hamiltonian-connected if and only if it is (t + 5)-connected, and for s ≥ 2 every (s + 5)-connected line graph is s-hamiltonian-connected.;For integers l and k with l > 0, and k ≥ 0, Ch( l, k) denotes the collection …

The Relationship Between Student Achievement Of At-Risk Students And The Georgia Performance Standards In Mathematics, Loralee Ann Hill

Dissertations

Educational leaders continue to be challenged in terms of accountability measures for increased student achievement, as mandated by the No Child Left Behind Act of 2001 (NCLB). In particular, schools must show adequate yearly progress (AYP) reaching 100 % proficiency levels for all students in the areas of English language arts and mathematics by 2014. In 2008, the Georgia Performance Standards (GPS) in mathematics were implemented at the high school level. Coupled with this new curriculum, a newly developed Georgia High School Graduation Test (GHSGT) in mathematics was administered in March 2011. The purpose of this study was to add …

Essays On Regular Variations In Classical And Free Setup: Randomaly Weighted Sums, Products In Cevm And Free Subexponentiality., Rajat Subhra Hazra Dr.

Doctoral Theses

In this thesis, we shall be focusing on some problems in probability theory involving regularly varying functions. The theory of regular variations has played an important role in probability theory, harmonic analysis, number theory, complex analysis and many more areas of mathematics. For an encyclopedic treatment of the subject, we refer to Bingham et al. (1987). In probability theory, the limiting behavior of the sums of independent and identically distributed (i.i.d.) random variables is closely related to regular variation. The books by Feller (1971) and Gnedenko and Kolmogorov (1968) give characterizations of random variables in the domains of attraction of …

2012 Sonia Kovalevsky Math For Girls Day Report, Association For Women In Mathematics, Lincoln University Of Missouri, Donna L. Stallings

Math for Girls Day Documents

Report for the 7th Annual Lincoln University Sonia Kovalevsky Math for Girls Day that was held on April 27th, 2012 from 8:00am to 2:00pm on the campus of Lincoln University in Jefferson City, MO.

The Praxis I Math Study Guide Questions And The Praxis I Math Skills Test Questions: A Statistical Study, Mary Elaine Wilkins

Electronic Theses and Dissertations Archive

In 2001, No Child Left Behind introduced the highly qualifiedstatus for k-12 teachers, which mandatedthe successfulscores on a series of high-stakestest; within this series is the Pre-Professional Skills Test (PPST) orPRAXISI. The PPSTmeasures basic k-12 skills for reading, writing, and mathematics.The mathematics sub-test is a national concern because some American high school students may graduate with basic math skills deficits that may prohibit their performance on the PPST. One approach to understanding this national concern is to explore the PPST preparation materials. This study focused on the numbers and operations, Algebra, Geometry and measurement, and data analysis and probability categories …

Are Nfl Athletes Receiving Over-Valued Contracts?, Jason Scott

Honors Projects in Mathematics

Many sport research studies have been conducted that examine the performance of professional athletes and their corresponding effect on franchise winning percentages, team revenues, economic repercussions, performance-based compensation, and much more. Research in the National Football League, however, has been found to be somewhat limited due to the numerous possible positions and resulting vastness of position-specific variables. The NFL lockout in 2011 caused many to question the specific relationship between professional athlete performance and salary distribution. This study’s purpose was to find a collection of variables with which all NFL athletes could be compared, and to identify relationships existing between …

Cost Of Winning: What Contributing Factors Play The Most Significant Roles In Increasing The Winning Percentage Of A Major League Baseball Team?, Patrick Tartaro

Honors Projects in Finance

Over the past decade, discussions of competition disparity in Major League Baseball have been brought to the forefront of many debates regarding the sport. The belief that "large market" teams such as the New York Yankees buy their championships through acquiring star talent at high prices has become a common belief of many followers of the game. This research will answer the pressing question, "What are the most significant factors that correlate to a Major League Baseball Team’s winning percentage?”. I used stepwise regression to identify factors significantly related to winning percentage. Interestingly enough, payroll is not a significant factor …

The Engineering Design Process As A Model For Stem Curriculum Design, Krystal Sno Corbett

Doctoral Dissertations

Engaging pedagogics have been proven to be effective in the promotion of deep learning for science, technology, engineering, and mathematics (STEM) students. In many cases, academic institutions have shown a desire to improve education by implementing more engaging techniques in the classroom. The research framework established in this dissertation has been governed by the axiom that students should obtain a deep understanding of fundamental topics while being motivated to learn through engaging techniques. This research lays a foundation for future analysis and modeling of the curriculum design process where specific educational research questions can be considered using standard techniques. Further, …

How To Reach All Types Of Learners Through The Use Of Manupulatives In Grades Three, Four, And Five, Cadie Fairchild

Mathematics Graduate Theses

This paper is an examination of research concerning the use of manipulatives with third, fourth, and fifth grade mathematics instruction. The research discusses the power of child discovery, stages of representation, using manipulatives to support learning, eliminating manipulatives prematurely, and eliminating negative stereotypes linked to manipulative use. A major concern of teaching with manipulatives is the knowledge of the teacher. An educator’s role is to provide the best learning opportunities for students. Research reviewed for this paper indicates frequent hands on activities using manipulatives. They need to be aware of the many learning stages and how to address each individual …

Some Drivers Of Test Item Difficulty In Mathematics, Ross Turner

OECD Programme for International Student Assessment (PISA)

This paper is one of four contributions to the symposium session at the AERA’s 2012 Annual Meeting titled Exploring Reading and Mathematics Item Difficulty: Teaching and Learning Implications of PISA Survey Data. The author presents a rubric used to analyse mathematics test items developed for use in the OECD’s PISA survey. The rubric focuses on a set of mathematical competencies that are components of mathematical literacy. The work on which this report is based suggests that demand for activation of these competencies functions as a significant driver of item difficulty, which potentially has implications for the teaching and learning of …

An Examination Of The Relationship Between High School Mathematics Teachers' Dispositions And Their Metaphors For Teaching, Lorrie Ogle Bearden

Dissertations, Theses and Capstone Projects (Full IR Collection)

Teachers demonstrating dispositions that lead to effective teaching is a common discourse in mainstream education circles. Consequently, teacher education programs are held accountable for standards that include assessing professional teaching dispositions. In 2008, National Council of Accreditation of Teacher Education (NCATE) published standards in which professional dispositions were clearly defined. Likewise, scholarly work in metaphor research provided an understanding of how teachers conceptualize their most fundamental views and beliefs about aspects of teaching. This mixed methods study examined the relationship between the dispositions and the teaching metaphors of mathematics teachers. The sources for this study included multiple interviews, observations, and …

The Impact Of State Fiscal Effort On Student Achievement Measured By Math Scores From The National Assessment Of Education Progress (Naep), Lorena Leeann Kelly

Educational Leadership & Workforce Development Theses & Dissertations

The current financial state of our nation, in combination with the pressure to meet state accountability testing and a global call for better prepared twenty first century learners, has produced a situation where all levels of government have to make difficult decisions regarding expenditures. In order to ensure that education receives appropriate funding, research is necessary to show a relationship between spending and student achievement. This study examines the effects of sustained increases and decreases in state fiscal effort on student achievement measured by scores from 4th and 8th grade math NAEP scores over an eighteen year period. A quantitative …

Teacher Empowerment In The Implementation Of Response To Intervention: A Case Study, Evie Taff Barge

Doctoral Dissertations and Projects

Response to Intervention (RtI) is a data-driven process that supports the academic needs of students through targeted interventions to address specific identified areas of weakness. When implemented effectively, RtI aids students at the onset of learning concerns and can remediate learning problems which have, in the past, led to students being classified as learning disabled. Few studies have recognized the role of teachers at the frontlines in implementing RtI, and many teachers are struggling with the complicated RtI process. Literacy and mathematics are the academic focuses for RtI in this study due to their importance for success in school and …

The Use Of Non-Cognitives And Learning Strategies As A Predictor For Completion Of Developmental Mathematics At A Community College, Megan Healy

Educational Leadership & Workforce Development Theses & Dissertations

With a large global, national, state, and local drive for post-secondary credentials, higher education institutes are exploring new retention and graduation strategies to meet the needs of the employers and employees. Many students who are unprepared for college level work will enter a community college to take developmental courses. Developmental mathematics has been a large barrier to completion and success in community college.

The purpose of this study was to explore the ability of non-cognitive traits to predict persistence in completion of a developmental math sequence at a community college. Non-cognitive traits were identified from the three components of strategic …

Effects Of A Developmental Boot Camp: Improving Student Performance On A College Placement Test, Heather Hill

Doctoral Dissertations and Projects

Nationwide, students are entering college unprepared for college-level work. Recent high school graduates are placing into developmental courses at an alarming rate. The purpose of this research study is to examine the effect of a developmental boot camp on standardized placement test scores of students enrolling at a community college in North Carolina. The study has a quasi-experimental non-equivalent control group design. Collected data will include participants' scores on the pretest and posttest placement test. A control group of eligible students who chose not to participate will be posttested for comparison. Instruments include ASSET® placement test and Computer-Adaptive Placement Assessment …

Self-Regulated Learning And Mathematics Achievement In A Fourth Grade Classroom, Dawn Eliserio

Master of Education Program Theses

This research examines the relationship between self-regulated learning and mathematics achievement. The sample included 10 students enrolled in fourth grade at a small, private elementary school in the Midwest. During the third quarter of the school year, students were taught methods of learning mathematics through self-regulation. The grades were recorded before the implementation at the conclusion of the second quarter and again at the conclusion of the third quarter once self-regulation was implemented. A t-test was used to compare the mathematics scores. There was no significant difference between the second and third quarter mathematics grades. This is an important result …

Ball Remotality In Banach Spaces And Related Topics., Tanmoy Paul

Doctoral Theses

In this project we aim to study Ball Remotality and densely Ball Remotality of subspaces in Banach spaces. We study this property in many classical spaces of type c0, c,\\â„“p and C(K) where K is a compact Hausdorff space. The said problem also discussed for Banach spaces when considered as a subspace in its bidual. It is observed M-ideals in C(K) are densely ball remotal. It is shown that a particular type of M-ideal in A(K) where K is a Choquet simplex is densely ball remotal.

Differentiated Physical Learning Environment, Alisha Thiessen

Master of Education Program Theses

This research study examines the correlation between student academic growth in mathematics in a differentiated physical learning environment and whether or not a differentiated physical environment affects students’ attitudes in mathematics. Previous studies have shown that students gain a deeper connection to the curriculum and have a greater enjoyment of the subject matter when a subject is differentiated (Sondergeld &Schultz, 2008). This study looks specifically at differentiating only the physical learning environment and how this affects student academic growth and attitude towards in mathematics. This study found no statistical evidence of greater academic achievement for those students who were part …

Book Review: Philosophy Of Science After Feminism By Janet Kourany, Gizem Karaali

Pomona Faculty Publications and Research

Janet Kourany’s book is a strange one: published by Oxford University Press (as a part of its Studies in Feminist Philosophy series), it is an academically oriented book, but reading it, you sense that this is not yet another theoretical monograph. For Kourany has her ax to grind, and more importantly she has a program to promote. The program is for philosophers of science and is motivated and encouraged by the amazing work done in the past few decades by feminist scientists and feminist scholars of science, technology, and society. In the following I will try to explain why I …

Prove It!, Kenny W. Moran

Journal of Humanistic Mathematics

A dialogue between a mathematics professor, Frank, and his daughter, Sarah, a mathematical savant with a powerful mathematical intuition. Sarah's intuition allows her to stumble into some famous theorems from number theory, but her lack of academic mathematical background makes it difficult for her to understand Frank's insistence on the value of proof and formality.

Mathematics In Literature, Donald A. Preece

Journal of Humanistic Mathematics

A lightly edited version of a Public Talk intended for a general audience, this essay examines significant appearances of mathematics, mathematical education, and attitudes to mathematics in, particularly, English and French literature. Both serious and light-hearted sources are considered. No attempt is made to be comprehensive.

Some Aspects Of Toric Topology., Soumen Sarkar Dr.

Doctoral Theses

The main goal of this thesis is to study the topology of torus actions on manifolds and orbifolds. In algebraic geometry actions of the torus (C * ) n on algebraic varieties with nice properties produce bridges between geometry and combinatorics see [Dan78], [Oda88] and [Ful93]. We see a similar bridge called moment map for Hamiltonian action of compact torus on symplectic manifolds see [Aud91] and [Gui94]. In particular whenever the manifold is compact the image of moment map is a simple polytope, the orbit space of the action. A topological counterpart called quasitoric manifolds, a class of topological manifolds …

Interview With Vittorio Addona, Professor Of Mathematics, Vittorio Addona

Math, Stats, and Computer Science Department Oral Histories

No abstract provided.

Computer Aided Geometric Design, Thomas W. Sederberg

Faculty Publications

This semester is the twenty-fourth time I have taught a course at Brigham Young University titled, "Computer Aided Geometric Design." When I first taught such a course in 1983, the field was young enough that no textbook covered everything that I wanted to teach, and so these notes evolved. The field now has matured to the point that several semesters worth of valuable material could be compiled. These notes, admittedly biased towards my own interests, reflect my personal preferences as to which of that material is most beneficial to students in an introductory course. I welcome anyone who has an …

Incorporating Quantitative Reasoning In Common Core Courses: Mathematics For The Ghost Map, John R. Jungck

Numeracy

How can mathematics be integrated into multi-section interdisciplinary courses to enhance thematic understandings and shared common readings? As an example, four forms of quantitative reasoning are used to understand and critique one such common reading: Steven Berlin Johnson’s "The Ghost Map: The Story of London's Most Terrifying Epidemic - and How it Changed Science, Cities and the Modern World" (Riverhead Books, 2006). Geometry, statistics, modeling, and networks are featured in this essay as the means of depicting, understanding, elaborating, and critiquing the public health issues raised in Johnson’s book. Specific pedagogical examples and resources are included to illustrate applications and …

Parts Of The Whole: Learn More, Learn Better, Dorothy Wallace

Numeracy

Building on previous columns in Numeracy, this column analyzes various teaching techniques in terms of their ability to build cognitive schema, extend existing schema, reinforce learning, move mean understanding of a group of students, and reduce variance in understanding of a group. We offer a pedagogical cycle as an example of how to address multiple learning goals using common teaching methods.