Digital Commons Network^™

Essays In Financial Intermediation., Bappaditya Mukhopadhyay Dr.

Doctoral Theses

No abstract provided.

Spectral Triples And Metric Aspects Of Geometry On Some Noncommutative Spaces., Partha Sarathi Chakraborty Dr.

Doctoral Theses

Quantization of mathematical theories is now more than half a century old idea in mathe- matics. It goes back to Gelfand-Naimarks seminal paper [37] in 1943. As the name suggests noncommutative geometry is the quantization" of differential geometry. It is the study of noncommutative algebras as if they were algebras of functions on spaces like the commuta- tive algebras associated to affine algebraic varieties, smooth manifolds, topological spaces. One can trace its roots in the Gelfand-Naimark theorems (1943, 37]). In modern terminol- ogy their theorem says there is an antiequivalence between the category of (locally) compact Hausdorff spaces and (proper, …

Bounding The Number Of Graphs Containing Very Long Induced Paths, Steven Kay Butler

Theses and Dissertations

Induced graphs are used to describe the structure of a graph, one such type of induced graph that has been studied are long paths.

In this thesis we show a way to represent such graphs in terms of an array with two colors and a labeled graph. Using this representation and the techniques of Polya counting we will then be able to get upper and lower bounds for graphs containing a long path as an induced subgraph.

In particular, if we let P(n,k) be the number of graphs on n+k vertices which contains P_n, a path on n vertices, as …

Taylor: A Magazine For Taylor University Alumni And Friends (Winter 2003), Taylor University

The Taylor Magazine (1963-Present)

The Winter 2003 edition of Taylor Magazine, published by Taylor University in Upland, Indiana.

Resources Related To Mathematics, Art And Nature, Vicki Beitler

Sabbaticals

The purpose of my sabbatical work was to learn about resources related to mathematics and art, nature, music and architecture. These subjects appeal to a wide audience, yet their mathematical connections are often on the periphery of a mathematics student's studies. In this way I planned to increase my knowledge of mathematics but at the same time broaden my understanding of cross-disciplinary subjects.

The Effects Of Providing Mathematical Problem -Posing Experiences For K--8 Pre-Service Teachers: Investigating Teachers' Beliefs And Characteristics Of Posed Problems, Todd August Grundmeier

Doctoral Dissertations

This study incorporated problem posing into a mathematics content course for preservice elementary and middle school teachers by extending George Polya's (1957) problem solving heuristic to include problem re-formulation and by having participants pose problems from sets of given information. The course provided pre-service teachers with a new mathematical perspective and this research examined participants' problem posing, beliefs about mathematics, and beliefs about the teaching and learning of mathematics.

Study participants were enrolled in a mathematics content course for pre-service teachers at the University of New Hampshire. There were twenty students in the course and nineteen agreed to be participants …

A Good Start To Numeracy : Effective Numeracy Strategies From Research And Practice In Early Childhood, Brian Doig, Barry Mcrae, Ken Rowe

Student learning processes

The Commonwealth-funded Project Good Start was a longitudinal study of children during their year before school and the first year of school, involving preschool centres and schools across Australia. It considered the questions: how can effective numeracy programs be identified at both year-before-school and the early years of school; and what constitutes evidence of effectiveness. This report provides a review of the international and Australian research literature on numeracy in early childhood that complements the Department of Education, Science and Training’s major review of the numeracy literature undertaken by Deakin University. It is designed to provide early childhood professionals and …

Improving Aboriginal Numeracy: A Book For Education Systems, School Administrators, Teachers And Teacher Educators, Thelma Perso

Research outputs pre 2011

Aboriginal students have the right to access the same education that is available to non-Aboriginal children in Australian schools. At present, Aboriginal children have access to, the same curriculum that non-Aboriginal students have access to but it may not empower them. This might be for a variety of reasons: their different starting points, learning styles, underlying issues which are impediments to learning, and in particular, their previous experiences may not be understood by their classroom teachers.

Évaluation Du Profil De La Surface Des Pistes De Roulement Du Métro De Montréal, Marc J. Richard

Rapports de recherche scientifique

Introduction

• En juillet 2002, suite à une demande de la Société de transport de Montréal (STM), l’IRSST débutait une étude sur les caractéristiques d’exposition vibratoire des opérateurs de motrices MR-63 et MR-73. Dans le cadre de ce projet, l’IRSST désirait entreprendre des démarches afin de mesurer les profils longitudinaux des pistes de roulement du métro de Montréal. Par conséquent, l’objectif de ce projet consistait à ausculter quelques pistes et à évaluer la qualité du profil des pistes de roulement qui existent actuellement sur le réseau.
• Nous savons que l’uni des pistes constitue l’un des principaux indicateurs de la condition des …

A Unifying Field In Logics: Neutrosophic Logic Neutrosophy, Neutrosophic Set, Neutrosophic Probability (In Traditional Chinese), Florentin Smarandache, Feng Liu

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

D-Log And Formal Flow For Analytic Isomorphisms Of N-Space, David Wright, Wenhua Zhao

Mathematics Faculty Research

Given a formal map of the form terms, we give tree expansion formulas and associated algorithms for the D-Log of and the formal flow . The coefficients that appear in these formulas can be viewed as certain generalizations of the Bernoulli numbers and the Bernoulli polynomials. Moreover, the coefficient polynomials in the formal flow formula coincide with the strict order polynomials in combinatorics for the partially ordered sets induced by trees. Applications of these formulas to the Jacobian Conjecture are discussed.

Boundary Volume And Length Spectra Of Riemannian Manifolds: What The Middle Degree Hodge Spectrum Doesn't Reveal, Carolyn S. Gordon, Juan P. Rossetti

Dartmouth Scholarship

No abstract provided.

The Design Of A Professional Development Program To Train Reading Teachers To Coach Content Area Teachers, Cara Richardson

Abraham S. Fischler College of Education ETD Archive

This applied dissertation was designed to investigate and provide middle school content-area teachers with ongoing support in an effort to foster reading across the curriculum. Mathematics, science, social studies, and language arts teachers participated in a mandatory content area literacy training where they were provided with research-based reading strategies to implement into their classrooms. The requirement to implement these new strategies into their daily instruction seemed overwhelming, which led to reluctance and frustration among many of the teachers.

The development methodology was used to develop the product utilizing a formative and a summative committee. The formative committee gathered data that …

The Negative Impact Of Middle School Mathematics Achievement On Classical High School, William G. Frost

Abraham S. Fischler College of Education ETD Archive

The Massachusetts Comprehensive Assessment System (MCAS) is the Commonwealth of Massachusetts’ version of high stakes assessment testing that has moved to the forefront of education reform over the past decade. True accountability for students and principals is present only at the high school level because students must pass the English language arts and mathematics sections of Grade 10 MCAS to qualify for a diploma.

Archival MCAS data over 4 years of testing reveals 2 inescapable conclusions. First, regardless of level (Grades 4, 8, and 10 are MCAS benchmark years), students have performed significantly better in English language arts than mathematics, …

Program Logic For Automatic Teaching Operations: The Effects Of Plato On High-Stakes Testing In Mathematics, Tammy A. Malich

Abraham S. Fischler College of Education ETD Archive

This applied dissertation describes the use of the Program Logic for Automatic Teaching Operations (PLATO) software to improve student scores on the mathematics high school exit examination in an urban comprehensive high school with a student population of approximately 2,400. Data were collected and analyzed for the same students’ mathematics exit examination scores from their junior year prior to using the PLATO lab and their senior year after using the PLATO lab. A correlation was performed and reported for the time spent in the PLATO laboratory for each student and the increase in his or her mathematics examination score. Student …

Improving Math Scores At Hutto Middle School, Marvin V. Thomas

Abraham S. Fischler College of Education ETD Archive

This applied dissertation was designed to determine if the Pre-Algebra Interactive Computer-Aided Natural Learning Education System (I CAN Learn Education Systems, 1999) could improve 8th-grade students’ performance in math on the Stanford Nine Achievement Test and Criterion Referenced Competency Test. Students are encouraged to become lifelong learners through a self-paced learning environment.

The writer implemented this system to deliver interactive multimedia curricula, enabling each student to learn at his or her own pace. Instruction was delivered to each student through a television-quality video, which is an integral part of every I CAN Learn (I CAN Learn Education Systems, 1999) lesson. …

Implementation Of Measures That Establish An Atmosphere Of Safety, Order, And Discipline On School Grounds, Robert N. Baldwin

Abraham S. Fischler College of Education ETD Archive

This applied dissertation was designed to determine the effects that specific interventions have on student behavior change regarding drug and alcohol use on school grounds. A change in leadership philosophy, drug and alcohol survey results, and school community input were the impetus for a study as to the effectiveness of interventions of behavioral indicators. The researcher was clearly interested in systematically reducing alcohol and other drug use on school grounds in order to promote an environment of high-level learning. School accountability was focused on increasing student achievement levels in English language arts and math. A review of related research substantiated …

Development Of A Plan At Germanna Community College For Responding Quickly To The Training Needs Of Local Business And Industry, Kathleen P. Habel

Abraham S. Fischler College of Education ETD Archive

The purpose of this applied dissertation was to develop a plan for a quick response process to provide timely adult education and training to meet the requirements of business and industry. The plan was developed to ensure that the principles and practices of adult education were included to enhance quality training.

There was no direct linkage at Germanna Community College between adult workforce training and the training requirements of business and industry. Evidence of this need came from two sources. The Fredericksburg Regional Chamber of Commerce conducted focus groups in 2001. These focus groups, along with a Germanna Community College …

Evaluation Of The Math Project At Horace Mann High School, Lula Brooks Reeves

Abraham S. Fischler College of Education ETD Archive

This applied dissertation studied the improvement of student course grades through the math program in 10th grade at Horace Mann High School, Gary, Indiana. In order to improve students' outcomes, strategies using Performance Based Learning, small group instruction and student collaboration were implemented.

The Math Project was implemented with 10th-grade teachers who agreed to participate in this study. The students in the study were a heterogeneously mixed group of students with common scores from the Indiana Statewide Testing for Educational Progress (ISTEP+/state competency) test at the 8th-grade level, common socioeconomic status according to the Federal Lunch Program guidelines, and common …

Improving Science Education For Middle-School Students By Integrating Mathematics Into The Scientific Method Process, Robert L. Wells

Abraham S. Fischler College of Education ETD Archive

This applied dissertation was designed to improve student success in science by integrating mathematics into the scientific method process. Students were routinely asked to perform experiments that required mathematical computations in measurement, numeration, geometry, and statistics; however, they were largely unable to perform these calculations because of their inability to apply mathematical concepts outside the mathematics classroom. The mathematics curriculum did not afford the student the opportunity to apply mathematics to real-life situations, nor did the science curriculum consistently apply mathematics to experiments.

The writer developed a series of science experiments that incorporated these four mathematical concepts into earth science …

Improving The Academic Performance Of Students On The Georgia High School Graduation Assessment Through The Use Of Technology, Vickie Perdue Scott

Abraham S. Fischler College of Education ETD Archive

This applied dissertation was designed to improve the academic performance of students in the Bibb County Public School System taking the Georgia High School Graduation Assessment through the use of technology. An analysis of test results over the last 3 years showed a failure rate of 53% on the Georgia High School Graduation Assessment with the majority of the 1st-time test takers having repeated 1 or more of the Graduation tests.

After reviewing the Spring 2001 Georgia High School Graduation Assessment results, the students’ academic history, and feedback from the faculty and student interviews, the writer implemented an afterschool and …

Improving The Academic Achievement Of Sixth-Grade Students Who Do Not Perform At Grade Level In Mathematics, Eileen M. Bond

Abraham S. Fischler College of Education ETD Archive

This applied dissertation was designed to assist 6th-grade students who were not performing at grade level in mathematics. Students entered the 6th grade with a great disparity of skills and abilities in mathematics and then progressed through the middle school grades unable to complete tasks appropriate to their grade level as outlined by the state-mandated mathematics curriculum. These findings were documented both by report card grades and by standardized test scores.

The writer developed a cross-age tutoring program that paired 6th-grade students with 8th-grade students who were trained as tutors. The program was executed as an extra-subject period to provide …

Wavelet-Based Simulation Of Geological Variables, T. T. Tran

Theses: Doctorates and Masters

This thesis introduces a number of conditional simulation algorithms using wavelet bases. These make use of two orthogonal wavelet bases, the Haar and the Db2 bases. Firstly, two single-level algorithms are introduced, HSIM: with the Haar basis and DB2SIM with the Db2 basis. HSIM reproduces the histogram and semivariogram model of isotropic samples but not the semivariogrnm model of anisotropic samples. DB2SIM reproduces the histogram and semivariogram model in both the isotropic and anisotropic cases but, because of the conditioning method employed, is not as computationally efficient as we would wish. Because of the limitations of HSIM and Db2SIM two …

The Effects Of Science Engineering Mathematics Aerospace Academy (Semaa) Participation On Engagement Rates Of Sixth- And Seventh-Grade Students In Regular Mathematics Classes., Donna R. Carr

Graduate Theses, Dissertations, and Problem Reports (ETD)

The purpose of this study was to investigate the impact of participation in a short-term, co-curricular, mathematics and science program (Science Engineering Mathematics Aerospace Academy, SEMAA) on the engagement rates of sixth and seventh grade students in public school mathematics classes. The outcome variable (engagement) was measured with the Student Record of Behavior at three time intervals. A 22.3 mixed ANOVA design was utilized to investigate three main effects (participation, grade level, and time) and their primary and secondary interactions. Results reflected no discernable impact of the SEMAA program on student engagement rates. Conclusions include alignment of ancillary programs and …

Pattern Recognition For Electric Power System Protection, Yong Sheng

Doctoral Dissertations

The objective of this research is to demonstrate pattern recognition tools such as decision trees (DTs) and neural networks that will improve and automate the design of relay protection functions in electric power systems. Protection functions that will benefit from the research include relay algorithms for high voltage transformer protection (TP) and for high impedance fault (HIF) detection. A methodology, which uses DTs and wavelet analysis to distinguish transformer internal faults from other conditions that are easily mistaken for internal faults, has been developed. Also, a DT based solution is proposed to discriminate HIFs from normal operations that may confuse …

An Extension Of Elton's L(1)(N) Theorem To Complex Banach Spaces, S J. Dilworth, Joseph P. Patterson

Faculty Publications

No abstract provided.

Writing Mathematics-A Nut And A Bolt Of Style, Frank A. Farris

Mathematics and Computer Science

As editor of Mathematics Magazine, I see a lot of manuscripts. Some of them are written with a charming sense of style, but many of them leave me thinking that the author's only concern was to set out the mathematics clearly. This is a fine place to start, but the tradition of the Magazine is to offer things that people will enjoy reading, and this requires more than clarity. Let me explain an important step authors can take in order to make their work more attractive.

Mathematics Form A: Discipline Summary, Curriculum Committee

Curriculum Committee Reports

No abstract provided.

Uncertainty Assessment For Cfd Using Error Transport Equation, Gusheng Hu

Graduate Theses, Dissertations, and Problem Reports (ETD)

While Computational Fluid Dynamics (CFD) is making extensive use of the power of computational technology, it is also facing a serious problem arising from the so-called numerical uncertainty. The overall uncertainty (or the global error) involved in CFD results can be due to different sources mainly contributed by (i) discretization error (or solution error due to incomplete grid convergence), (ii) iteration convergence error, (iii) grid generation errors (skewness, grid aspect and expansion ratio, coordinate transformation etc.), and (iv) round-off errors. In this study an in-depth discussion concerning these issues is presented with an emphasis on the discretization error in regard …

Abstracts Of Papers, 80th Annual Meeting Of The Virginia Academy Of Science, May 22-24, 2002, Hampton University, Hampton, Virginia

Virginia Journal of Science

Abstracts of papers that were presented at the 80th annual meeting of the Virginia Academy of Science.