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Taylor: A Magazine For Taylor University Alumni And Friends (Summer 2002), Taylor University

The Taylor Magazine (1963-Present)

The Summer 2002 edition of Taylor Magazine, published by Taylor University in Upland, Indiana.

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Limits Highlights From Over 2000 Years Of Developments In Calculus Limits, Lauri A. Nevalainen

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

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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 …

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Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

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Is "F" For Function Or Failure?, Rita Puishes

The Prairie Light Review

No abstract provided.

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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. …

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Chebyshev Pseudospectral Methods For Conservation Laws With Source Terms And Applications To Multiphase Flow, Scott Alan Sarra

Graduate Theses, Dissertations, and Problem Reports (ETD)

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 …

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Small Cycle Cover, Group Coloring With Related Problems, Xiangwen Li

Graduate Theses, Dissertations, and Problem Reports (ETD)

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 …

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Edge Coloring Of Simple Graphs And Edge -Face Coloring Of Simple Plane Graphs, Rong Luo

Graduate Theses, Dissertations, and Problem Reports (ETD)

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 …

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Whitney Preserving Maps, Benjamin Espinoza

Graduate Theses, Dissertations, and Problem Reports (ETD)

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 …

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Metaphors Of Mathematics In Corneille's Theater, Nina Ekstein

Modern Languages and Literatures Faculty Research

Mathematical metaphors are a distinctive and characteristic feature of Corneille’s theater, closely tied to his dramatic aesthetics. I divide these metaphors into two groups, identities and combinatorics. The field of identities deals with different kinds of equations, from the level of language, where elements are equated or placed in some other relationship that can be expressed mathematically, to the level of plot, where, for example, the search for identity (e.g. who is Héraclius?) resembles an algebraic equation. Combinatorics involves the arrangements and combinations of elements, and finds its greatest application here in the question of the constitution of couples to …

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Nsu Innovative Teaching In Math 2002, Nova Southeastern University

Abraham S. Fischler College of Education and School of Criminal Justice College Archive

No abstract provided.

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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 …

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Losses Of Equal Value, Michael I. Meyerson

All Faculty Scholarship

No abstract provided.

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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.

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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.

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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.

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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.

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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 …

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High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore

Trotter Review

High-stakes mathematics tests continue to gain popularity in the United States, with an increasing number of states setting the passing of such tests as a high school graduation requirement. Consequently, instruction and instructional content have changed, with teachers emphasizing materials on the test while neglecting other important aspects of learning. The tests have become all-consuming, taking over many students' lives. Yet students are often ill prepared for these tests. This is even more true for African-American students whose cultural and social circumstances make their preparation for high-stakes tests inadequate and ineffective. The author examines six such students - their hopes …

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Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley

Trotter Review

This case study reports on the small group interactions and achievements of Malik, an African American sixth grader, who attended a Maryland elementary school in 1997. Student achievement was measured by the Maryland Functional Mathematics Test (MFMT-I), which was given on a pre/post basis. Students' scores on the MFMT-I were analyzed using the ANOVA. The analysis revealed a significant difference (F = 3-330, p < .05) between the scores of Caucasian (M = 342.12) and African American students (M = 323-56). However, Malik's MFMT-I score rose from 293 to 353. A passing score is 340. This study examines Malik's interactions to ascertain what factors influenced his achievement. The findings are that Malik had a positive attitude about mathematics and a strong command of mathematical and scientific language. Recommendations are that teachers become cultural brokers to help all children learn the "language" of mathematics and encourage all students to become self-advocates to overcome negative social dynamics in small groups.

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Matematik Asas For Higher Education / Young Choon Hoong, Choon Hoong Young

Student Works (2000-2009)

This report was based on the final year project, as a partial requirement for the degree of Computer Science. The title of this project is "Matematik Asas" For Higher Education. This report contains three chapters, which are introduction of this project, literature review and methodology. "Matematik Asas" For Higher Education is a project to create an educational package for student aged 17 and above. The primary objective of this project is to build up interesting educational software to give lesson to students especially in university on Mathematics Asas. This project will mainly focus on multimedia interface to keep attention from …

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Mathematics And The Legal Imagination: A Response To Paul Edelman, Michael I. Meyerson

All Faculty Scholarship

This article, a response to a review by Prof. Paul Edelman of Prof. Meyerson's book "Political Numeracy: Mathematical Perspectives on Our Chaotic Constitution," explains how the study of mathematics can spur creative legal thinking.

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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.

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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 …

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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.

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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.

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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 …

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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.

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Proceedings Of The First International Conference On Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability And Statistics, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In 1960s Abraham Robinson has developed the non-standard analysis, a formalization of analysis and a branch of mathematical logic, that rigorously defines the infinitesimals. Informally, an infinitesimal is an infinitely small number. Formally, x is said to be infinitesimal if and only if for all positive integers n one has xxx < 1/n. Let &>0 be a such infinitesimal number. The hyper-real number set is an extension of the real number set, which includes classes of infinite numbers and classes of infinitesimal numbers. Let’s consider the non-standard finite numbers 1+ = 1+&, where “1” is its standard part and “&” its non-standard part, …

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Full-Text Articles in Entire DC Network

Taylor: A Magazine For Taylor University Alumni And Friends (Summer 2002), Taylor University

The Taylor Magazine (1963-Present)

Limits Highlights From Over 2000 Years Of Developments In Calculus Limits, Lauri A. Nevalainen

Honors Capstones

Cognitive Model Of New Data On Human Problem Solving, Eric Fleischman

Senior Scholar Papers

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

Is "F" For Function Or Failure?, Rita Puishes

The Prairie Light Review

Reduction Of Boolean Networks To Scalar Form., Christopher Farrow

Student Work

Chebyshev Pseudospectral Methods For Conservation Laws With Source Terms And Applications To Multiphase Flow, Scott Alan Sarra

Graduate Theses, Dissertations, and Problem Reports (ETD)

Small Cycle Cover, Group Coloring With Related Problems, Xiangwen Li

Graduate Theses, Dissertations, and Problem Reports (ETD)

Edge Coloring Of Simple Graphs And Edge -Face Coloring Of Simple Plane Graphs, Rong Luo

Graduate Theses, Dissertations, and Problem Reports (ETD)

Whitney Preserving Maps, Benjamin Espinoza

Graduate Theses, Dissertations, and Problem Reports (ETD)

Metaphors Of Mathematics In Corneille's Theater, Nina Ekstein

Modern Languages and Literatures Faculty Research

Nsu Innovative Teaching In Math 2002, Nova Southeastern University

Abraham S. Fischler College of Education and School of Criminal Justice College Archive

Zero-Cycles And K-Theory On Normal Surfaces., Amalendu Krishna Dr.

Doctoral Theses

Losses Of Equal Value, Michael I. Meyerson

All Faculty Scholarship

Integrating Mathematics, Technical Writing Skills And Authentic Assessment Into A Ninth And Tenth Grade Woodshop Curriculum, John Lawrence Mccarley

Graduate Student Projects

Fundamental Theorem Of Algebra, Paul Shibalovich

Theses Digitization Project

Multiple Intelligence Theory And Seventh Grade Mathematics: A Handbook Of Activities, Mechelle Lynn Devries Lalanne

All Graduate Projects

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

Pre-Algebra And Algebra I Class Starters, Lois Martin Serns

Graduate Student Projects

High-Stakes Tests Require High-Stakes Pedagogy, Randy Lattimore

Trotter Review

Why Makik Can "Do" Math: Race And Status In Integrated Classrooms, Jacqueline Leonard, Scott Jackson Dantley

Trotter Review

Matematik Asas For Higher Education / Young Choon Hoong, Choon Hoong Young

Student Works (2000-2009)

Mathematics And The Legal Imagination: A Response To Paul Edelman, Michael I. Meyerson

All Faculty Scholarship

Comparison Of East Asian And Western Culture In Teaching Mathematics: A Model Of Elementary School Mathematics Curriculum, Hui-Nuan Nuang

All Graduate Projects

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

An Integrated Math Curriculum Designed To Develop Problem Solving Skills In Third Grade Students, Nwaynna Bernadette Stewart

All Graduate Projects

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

Integrating Mathematics And Language Arts With Assessment In A Fourth Grade Classroom, Erika Vestad

All Graduate Projects

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

Proceedings Of The First International Conference On Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability And Statistics, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications