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Articles 1 - 24 of 24
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Pattern Recognition For Electric Power System Protection, Yong Sheng
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 …
Uncertainty Assessment For Cfd Using Error Transport Equation, Gusheng Hu
Uncertainty Assessment For Cfd Using Error Transport Equation, Gusheng Hu
Graduate Theses, Dissertations, and Problem Reports
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 …
An Examination Of Gender Differences In Today's Mathematics Classrooms: Exploring Single-Gender Mathematics Classrooms, Celeste E. Dunlap
An Examination Of Gender Differences In Today's Mathematics Classrooms: Exploring Single-Gender Mathematics Classrooms, Celeste E. Dunlap
Master of Education Research Theses
Much research identifies a gender gap in mathematics, and some research points to single-gender math classrooms as a solution to the math gender divide. The author conducted a seven week study in which she divided fifty fifth grade students into singlegender mathematics classes. She wanted to examine if single-gender math classes affected the math achievement and attitudes of her female students. Upon completion of the study the author found there was no statistical significance in the girls’ achievement between a single-gender classroom and a coeducational classroom. There was a significant difference in the girls’ perceptions as to how they best …
Cognitive Model Of New Data On Human Problem Solving, Eric Fleischman
Cognitive Model Of New Data On Human Problem Solving, Eric Fleischman
Senior Scholar Papers
During the educational process there are a multitude of strategies that educators may employ in order to maximize learning among their pupils. For symbolic problem-solving skills (such as mathematics), a particularly effective technique is to have students study worked-out example problems and unworked practice problems. Research shows that students who explain parts of worked examples to themselves learn more effectively than students who do not. This is called the self-explanation effect (Chi et al., 1989; Fergusson Hessler & de Jong, 1990; Pirolli & Bielaczyc, 1989). In summary, this research proved that students learn most effectively by studying examples when they …
Reduction Of Boolean Networks To Scalar Form., Christopher Farrow
Reduction Of Boolean Networks To Scalar Form., Christopher Farrow
Student Work
This thesis explores methods for finding cycles in synchronous Boolean networks. There is a brief survey the functional iteration method for finding cycles in a synchronous Boolean network. This method can, in theory, completely describe a Boolean network, but is inefficient and unfeasible in practice, especially for large networks. A more direct computational approach, referred to as the computational iterative method, is introduced and the results of this method as applied to three node synchronous Boolean networks are presented. This analysis reveals interesting behavior about these simple networks that in some cases can be generalized to networks of any size. …
Small Cycle Cover, Group Coloring With Related Problems, Xiangwen Li
Small Cycle Cover, Group Coloring With Related Problems, Xiangwen Li
Graduate Theses, Dissertations, and Problem Reports
Bondy conjectured that if G is a simple 2-connected graph with n ≥ 3 vertices, then the edges of G can be covered by at most 2n-33 cycles. In Chapter 2, a result on small cycle cover is obtained and we also show that the result is as best as possible.;Thomassen conjectured that every 4-connected line graph is hamiltonian. In Chapters 3 and 4, we apply Catlin's reduction method to study cycles in line graphs. Results about hamiltonian connectivity of line graphs and 3-edge-connected graphs are obtained. Several former results are extended.;Jaeger, Linial, Payan and Tarsi introduced group coloring in …
Chebyshev Pseudospectral Methods For Conservation Laws With Source Terms And Applications To Multiphase Flow, Scott Alan Sarra
Chebyshev Pseudospectral Methods For Conservation Laws With Source Terms And Applications To Multiphase Flow, Scott Alan Sarra
Graduate Theses, Dissertations, and Problem Reports
Pseudospectral methods are well known to produce superior results for the solution of partial differential equations whose solutions have a certain amount of regularity. Recent advances have made possible the use of spectral methods for the solution of conservation laws whose solutions may contain shocks. We use a recently described Super Spectral Viscosity method to obtain stable approximations of Systems of Nonlinear Hyperbolic Conservation Laws. A recently developed postprocessing method, which is theoretically capable of completely removing the Gibbs phenomenon from the Super Spectral Viscosity approximation, is examined. The postprocessing method has shown great promise when applied in some simple …
Whitney Preserving Maps, Benjamin Espinoza
Whitney Preserving Maps, Benjamin Espinoza
Graduate Theses, Dissertations, and Problem Reports
We connect Whitney levels and continuous functions between continua to obtain the new notion of Whitney preserving maps. We introduce the basic properties of Whitney preserving maps. We give conditions on a continuum X in order that a Whitney preserving map f from X to the unit interval is a homeomorphism, and we give examples to show the conditions are necessary and that the result is false when the range of the map is the unit circle. Concerning the structure of any continuum X, we show that if A is a continuous decomposition of X into nondegenerate terminal continua, then …
Edge Coloring Of Simple Graphs And Edge -Face Coloring Of Simple Plane Graphs, Rong Luo
Edge Coloring Of Simple Graphs And Edge -Face Coloring Of Simple Plane Graphs, Rong Luo
Graduate Theses, Dissertations, and Problem Reports
We prove that chie( G) = Delta if Delta ≥ 5 and g ≥ 4, or Delta ≥ 4 and g ≥ 5, or Delta ≥ 3 and g ≥ 9. In addition, if chi(Sigma) > 0, then chie( G) = Delta if Delta ≥ 3 and g ≥ 8 where Delta, g is the maximum degree, the girth of the graph G, respectively.;It is proved that G is not critical if d¯ ≤ 6 and Delta ≥ 8, or d¯ ≤ 203 and Delta ≥ 9. This result generalizes earlier results.;Given a simple plane graph G, an edge-face k-coloring of …
Zero-Cycles And K-Theory On Normal Surfaces., Amalendu Krishna Dr.
Zero-Cycles And K-Theory On Normal Surfaces., Amalendu Krishna Dr.
Doctoral Theses
The main theme of this thesis is to study the theory of algebraic cycles on singular varieties over a field. This has been studied before extensively by Collins, Barbieri-Viale, Levine, Srinivas among several others. Our interest in this thesis is to address some well known problems in the theory of zero-cycles over nominal varieties. The use of K- theoretic techniques in our proofs illustrate the interplay between the study of algebraic cycles and algebraic K-theory.For a quasi-projective surface X over a field k, we define FA,(X) to be the subgroup of the Grothendieck group Ko(X) of vector bundies generated by …
Pre-Algebra And Algebra I Class Starters, Lois Martin Serns
Pre-Algebra And Algebra I Class Starters, Lois Martin Serns
Graduate Student Projects
Mathematics has always been important, but never more than today. Math curriculums have been revised throughout the United States to better prepare students for success. The math class of today must offer an environment in which students can work individually and in cooperative groups on meaningful, real-life problems. Teachers need to make the most of the class time they have. Using a math starter problem or activity can help achieve this goal. A wide variety of activities not only improve the quality of learning in the classroom, but will also capture the interest of the student in math class. These …
Integrating Mathematics, Technical Writing Skills And Authentic Assessment Into A Ninth And Tenth Grade Woodshop Curriculum, John Lawrence Mccarley
Integrating Mathematics, Technical Writing Skills And Authentic Assessment Into A Ninth And Tenth Grade Woodshop Curriculum, John Lawrence Mccarley
Graduate Student Projects
For this project an integrated woodshop curriculum containing elements of procedural writing and mathematics instruction was created. The curriculum design was based on the constructivist concept that students learn more efficiently when personal meaning is attached to the content presented. That concept was used to connect mathematics and writing to realistic applications in a woodshop setting. Support for integration of various content areas into a single curriculum is supported in the academic literature. Specific exercises to attain specific outcomes are discussed in the literature, and adaptations of those processes were incorporated in the project.
Comparison Of East Asian And Western Culture In Teaching Mathematics: A Model Of Elementary School Mathematics Curriculum, Hui-Nuan Nuang
Comparison Of East Asian And Western Culture In Teaching Mathematics: A Model Of Elementary School Mathematics Curriculum, Hui-Nuan Nuang
All Graduate Projects
The purpose of this project was to compare cross-cultural mathematics teaching in the elementary schools in East Asian and Western countries, particularly focused on Taiwan and the United States. Another purpose was to design and develop a common mathematics curriculum program for elementary schools to use in both environments. To accomplish this purpose, a review and comparison of current research and literature regarding current curriculum and teaching practice of mathematics in Taiwan and the United States was conducted. Additionally, related information from selected sources was obtained and analyzed.
Multiple Intelligence Theory And Seventh Grade Mathematics: A Handbook Of Activities, Mechelle Lynn Devries Lalanne
Multiple Intelligence Theory And Seventh Grade Mathematics: A Handbook Of Activities, Mechelle Lynn Devries Lalanne
All Graduate Projects
Multiple intelligence theory was investigated; a description and history of the theory, as proposed by Howard Gardner, is provided. The multiple intelligence theory as it relates to education, particularly mathematics education, was reviewed. A handbook of activities was created to provide a resource for seventh grade teachers that will assist in the application and integration of mathematics across the range of multiple intelligences in their classroom. Assessments that resemble the Washington Assessment of Students Leaming are included, in order to develop skills necessary to meet the Essential Academic Leaming Requirements of Washington.
A Model Mathematics Thinking Skills Curriculum For Elizabeth Blackwell Elementary School In Sammamish, Washington In The Lake Washington School District, Stacy S. Murphy
A Model Mathematics Thinking Skills Curriculum For Elizabeth Blackwell Elementary School In Sammamish, Washington In The Lake Washington School District, Stacy S. Murphy
All Graduate Projects
The purpose of this project was to develop a model Mathematics Thinking Skills Curriculum for Elizabeth Blackwell Elementary in Sammamish, Washington, in the Lake Washington School District, aimed at sixth grade mathematics classrooms. To accomplish this purpose, a review of related literature and research was conducted and utilized to develop unit and lesson plans for a model mathematics thinking skills curriculum. Students were given sample problems from the units and comparisons were made between teaching mathematics with thinking skills and traditional methods. The results support the hypothesis that mathematics concepts are better understood when combined with thinking skills and the …
Forming Partnerships With Parents Through A Series Of Interactive Home-Based Activities Delivered Through The Use Of Personal Computers, Michael P. Stark
Forming Partnerships With Parents Through A Series Of Interactive Home-Based Activities Delivered Through The Use Of Personal Computers, Michael P. Stark
All Graduate Projects
A project was implemented in which parents and students were encouraged to collaborate on a series of interactive mathematics activities designed to be completed in the home. yth grade math students along with their parents completed problem-solving activities on personal computers. Students with no access to computers at home were able to borrow Apple iBook laptop computers from the local school district. The activities were all designed to help students in preparation for the ylh grade mat WASL. The project also contained many resources for parents, including WASL related resources as well as resources on parental involvement at home.
An Integrated Math Curriculum Designed To Develop Problem Solving Skills In Third Grade Students, Nwaynna Bernadette Stewart
An Integrated Math Curriculum Designed To Develop Problem Solving Skills In Third Grade Students, Nwaynna Bernadette Stewart
All Graduate Projects
The effectiveness of a curriculum integrating math, manipulative use, writing, drama and the visual arts was examined. The information gathered through research articles and case studies was used to create an integrated math program. The focus of the project is to strengthen problem solving and critical thinking skills of third grade students. The project is designed to supplement materials and textbooks teachers are currently using in their classrooms. Implications for future areas of research are discussed.
A Model Geometry And Probability Supplimental Curriculum For Fourth Grade Students In Alignment With The Washington State Essential Academic Learning Requirements For Mirror Lake Elementary School, Federal Way School District, Federal Way, Washington, Melanie Jane Strey
All Graduate Projects
The purpose of this project was to develop and implement a model supplemental geometry and probability curriculum for Mirror Lake Elementary in the Federal Way School District, Federal Way, Washington. To accomplish this purpose, a review of related literature was conducted. Additionally, related information and materials from selected sources was obtained and analyzed. Control Groups were formed to test district provided curriculum and district provided curriculum with supplemental units. The results showed greater student academic gains when the district provided curriculum was supplemented with additional material.
A Model Mathematics Problem Solving Curriculum For Randle Elementary School In Randle, Washington In The White Pass School District, Randy A. Torrey
A Model Mathematics Problem Solving Curriculum For Randle Elementary School In Randle, Washington In The White Pass School District, Randy A. Torrey
All Graduate Projects
The purpose of this project was to design and develop a model fifth grade mathematics curriculum, in alignment with Washington State Essential Academic Leaming Requirements, for the White Pass School District in Washington. To accomplish this purpose, a review of cun-ent research and literature was conducted and used to develop unit and lesson plans for a model problem solving mathematics curriculum. The results support the hypothesis that mathematic concepts are better understood when problem solving skills are used. Implications for using problem solving skills in a mathematics cuniculum are discussed.
Integrating Mathematics And Language Arts With Assessment In A Fourth Grade Classroom, Erika Vestad
Integrating Mathematics And Language Arts With Assessment In A Fourth Grade Classroom, Erika Vestad
All Graduate Projects
The purpose of this project was to develop a unit integrating language arts, mathematics, and Washington Assessment of Student Learning (WASL) practice items for use in a fourth grade classroom in the Yakima School District in Yakima, Washington. This unit allows teachers to better use the W ASL practice items assigned by the district. It also helps students prepare for the WASL and teaches life-long skills. To accomplish this purpose. current literature was reviewed. Additionally, related information from selected sources was obtained and analyzed. Current literature and related sources were synthesized into an integrated unit on measurement and geometry to …
The Effectiveness Of An Interactive Multimedia Learning Explanation On Baccalaureate Nursing Students' Mathematical Achievement And Self-Efficacy, Margaret Hansen Maag
The Effectiveness Of An Interactive Multimedia Learning Explanation On Baccalaureate Nursing Students' Mathematical Achievement And Self-Efficacy, Margaret Hansen Maag
Master's Theses
Digitized thesis
Fundamental Theorem Of Algebra, Paul Shibalovich
Fundamental Theorem Of Algebra, Paul Shibalovich
Theses Digitization Project
The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.
The Relationship Between Estimation Skill And Computational Ability Of Students In Years 5, 7 And 9 For Whole And Rational Numbers, Phuntsho Dolma
The Relationship Between Estimation Skill And Computational Ability Of Students In Years 5, 7 And 9 For Whole And Rational Numbers, Phuntsho Dolma
Theses: Doctorates and Masters
This study explored the relationship between estimation skill and computational ability for whole and rational numbers. The methods carried out were both quantitative as well as qualitative and data were collected from three primary schools along with their associated high school in the Perth area. The year levels chosen were 5, 7 and 9. There were two classes from each chosen primary school representing Year 5 and Year 7 and three classes of Year 9 from the high school. The total number of students involved was 91, 77 and 73 from the three respective year levels. Instruments used for collecting …
The Computation Choices Made By Students In Years 5 To 7, Paul Swan
The Computation Choices Made By Students In Years 5 To 7, Paul Swan
Theses: Doctorates and Masters
This study was designed to explore the computation choices made by 78 students in Years 5 to 7. The ability to choose and use a repertoire of computation methods is an important goal of mathematics education. While one might expect to find a great deal of research outlining the computation choices students make and why they make them, this was not the case; and as such it was decided to explore what computation choices students make and why they make them.