Arts and Humanities Commons^™

Fire! Lessons Learned And Applied To Computer Systems, Kim P. Kihlstrom

ACMS Conference Proceedings 2009

A wildfire swept through Santa Barbara on November 13, 2008, burning 1940 acres and destroying 230 homes. Nine structures on the Westmont College campus were destroyed as well as fifteen faculty homes near campus. What insights can be drawn from this experience? We will examine some of the lessons that can be applied to the design of intrusion-tolerant computer systems.

Are Mathematical Entities Real?, Phillip E. Lestmann

ACMS Conference Proceedings 2009

This talk will introduce ontological questions related to mathematics. After surveying the views of Plato and Artistotle, other possible philosophical perspectives will be considered including realism, nominalism, conceptualism, and empiricism with their relative strengths and weaknesses. The discussion will conclude with a possible biblical foundation for mathematical ontology.

A Career Preparation Course For Students In Mathematics And Computer Science, Donna Pierce, Peter A. Tucker

ACMS Conference Proceedings 2009

As professors, we all want our students to succeed, and to be motivated to study. We all get questions from students that can be boiled down to, "What can I do with X degree?" Certainly, a quick answer is to point students to career websites, or to send them to the career services department on campus. However, we want to do better than that. We want students to learn how to investigate these future directions, and to have them think about their future more holistically--not just an effort to find a job. To that end, we have developed a course …

History Of Mathematics In The Service Of School Mathematics Education, Calvin Jongsma

ACMS Conference Proceedings 2009

This slide presentation outlines the author's use of history of mathematics in teaching a mathematics-content course to prospective middle school mathematics teachers. A pedagogical rationale for using history of mathematics is given, along with a case study illustrating its use for teaching the topic of ratio and proportion drawing upon the numerical and geometrical theories of such found in Euclid's Elements.

Galileo's Solution To Dante's Riddle, Andrew Simoson

ACMS Conference Proceedings 2009

In Dante’s Inferno, several riddles are posed regarding the relative sizes of ordinary men versus giants versus Lucifer—all of which Galileo solves in his first public lecture—which we review herein.

Sage: Math In Your Dorm Room, From Calculus To Research, Karl-Dieter Crisman

ACMS Conference Proceedings 2009

As computers have revolutionized math research in disciplines as disparate as number theory and bioinformatics, it is natural for us to introduce our students to technology in ways beyond mere homework-checking. However, most familiar programs are either not comprehensive enough to encompass all the math in our curriculum, or are very expensive and accessible only in a lab or with a student license. The open source software package Sage addresses all of these issues.

Sage is suitable for discovery and computation in introductory courses such as calculus or linear algebra, while also being ideal for use in upper-level courses or …

Can Critical Thinking Be Redeemed?, Jeremy Case

ACMS Conference Proceedings 2009

We often claim that mathematics develops critical thinking skills. Critical thinking has many different definitions, but problem solving, deduction, analyzing arguments, and identifying assumptions are all certainly a part of critical thinking. As the trend in higher education moves away from focusing exclusively on content towards assessment and learning outcomes, we can justify our endeavors since mathematics and critical thinking align themselves well.

However, when examining the ultimate purpose of critical thinking in higher education, we must take care. If there is no agreed upon content knowledge in our postmodern age, the focus of education falls elsewhere. How one thinks …

Exploring The Limits Of Computing Through Exhaustive Search, Jeffrey L. Lehman

ACMS Conference Proceedings 2009

Many computing problems can be solved by identifying all possible moves or combinations of events and then picking the best solution. Problems in this domain provide fertile ground for exploring problem representation, storage requirements, and computational complexity. The problems and solution approaches are easy to understand, yet quickly push the memory and storage limits of a personal computer. This paper describes insights from a preliminary investigating of two exhaustive search problems, the 15-puzzle and Rubik’s cube. The insights gained by looking at exhaustive search problems can be integrated into classroom discussions and projects.

Monoids For Math Majors, Brian D. Beasley

ACMS Conference Proceedings 2009

Inspired by an MAA PREP workshop on “The Art of Factorization in Multiplicative Structures”, this paper will treat the basics of congruence monoids and arithmetical congruence monoids with their potential for a Modern Algebra or capstone course.

Supplemental Vocabulary Acquisition In The Desymbol Logic Translator, Darren F. Provine, Nancy Lynn Tinkham

ACMS Conference Proceedings 2009

DeSymbol is a program that translates first-order predicate logic expressions into English. It is designed to help students practice when learning or reviewing symbolic logic: students begin by translating English sentences into symbolic logic notation, and then they can use DeSymbol to translate the logic back into English to check their work.

The newest version of DeSymbol adds the ability for the user to expand the system’s vocabulary, using a web interface. The user can enter new nouns, verbs, or adjectives, specifying each word’s part of speech, its singular and plural forms, and (for verbs) whether the verb takes an …

Professor Peacock's Symbolical Algebra: Glimpses Into The Life And Work Of A Mathematical Reformer, Richard Stout

ACMS Conference Proceedings 2009

In his 1859 obituary of George Peacock (Royal Society of London, 1859),the nineteenth century mathematician and Dean of Ely Cathedral, his friend and long-time colleague J. F. W. Herschel not only lists Peacock's accomplishments as an educator, a churchman, and a mathematician, but also describes a man who embodies warmth and wisdom, the kind of person you would enjoy knowing and having as a colleague. Writing about Peacock in the Memoirs of the Royal Astronomical Society, Augustus DeMorgan echoes these sentiments when he says that "Whenever a man of safe judgment was wanted, who united kindness and courtesy to a …

The Development Of Mathematical And Spiritual Maturity In The Undergraduate Mathematics Curriculum, Angela Hare

ACMS Conference Proceedings 2009

Colleges and universities that teach mathematics have a responsibility to develop in students an appreciation of the powerful tools they are studying in the mathematics curriculum. Beyond this fundamental responsibility, the Christian college or university has the richer task of equipping mathematics graduates to use their mathematical knowledge and skills to sharpen their spiritual insight, to serve others, and to promote justice and freedom in society. The growth in mathematical maturity that occurs during the undergraduate years is an asset that enables Christian students of mathematics to participate in the redemptive work of Jesus Christ through their discipline of study. …

Approximating Sums Of Infinite Series, Kara Garrison, Thomas E. Price

ACMS Conference Proceedings 2009

The Euler-Maclaurin summation formula is frequently used to efficiently estimate sums of infinite series of the form $\sum_{j=1}^{\infty}f(j)$. The purpose of this article is to describe a modification of this numerical technique designed to simplify and reduce the computational effort required to obtain an acceptable estimate of the sum. The modified formula is obtained by replacing $f\left( x\right) $ with an easily constructed polynomial like interpolating function $a\left( x\right) $ designed to simplify the calculation of the integral and derivatives associated with Euler-Maclaurin. This approach provides a more tractable algorithm which can be written as a matrix equation. Examples are …

Integrating Dynamic Software Into Geometry Courses At Middle School, High School, And College Levels: Ten Lesson Plan And Instruction Material Units Incorporating Geometer's Sketchpad Version 4.07, Jamie Blauw, Lauren Zylstra, Dave Klanderman

ACMS Conference Proceedings 2009

This paper explores the use of dynamic geometry software (Geometer's Sketchpad) in the teaching and learning of Geometry at the high school and college level. As part of an honors project, two of the authors created a series of lesson activities to address specific geometric concepts. Each lesson implements Geometer's Sketchpad to create an engaging student-centered learning environment.

A Vision For Acms, James Bradley

ACMS Conference Proceedings 2009

This paper applies McGrath's and Heller's approach to the consideration of mathematics. It assumes that mathematics is not self-interpreting, but that, looked at from a framework informed by the Christian scriptures, it can be seen as having significant meaning and value and a transcendent purpose. In particular, it presents a classical interpretation of mathematics broadly conceived, presents two approaches to providing warrant for such an interpretation, and explores some implications. It argues, by means of the example of the classical interpretation, that the relationship between mathematics and theology is a viable area of scholarly inquiry encompassing profound and fascinating questions. …

In Search Of Old Shanghai (Buildings)

China Beat Blog: Archive 2008-2012

Earlier this week, the Washington Postpublished a fascinating article by Maureen Fan, paired with a very effective video that the same reporter narrates (hat tip to Shanghaiist for bringing both to my attention), that combines architectural and family history. This is because the grandfather of the Post‘s Beijing bureau chief was Robert Fan, a leading local architect who designed, among many other buildings, the one pictured here.

I won’t try to summarize her piece, which is part memoir and part analysis of the fate of buildings her grandfather designed (some of which are shown in the accompanying video), as it …

Arithmetic Sequences, Diophantine Equations And The Number Of The Beast, Bryan Dawson

ACMS Conference Proceedings 2009

Revelation 13:18 invites anyone with "understanding" to "calculate the number of the beast". This session reviews historical attempts using arithmetic sequences and gives conditions by which a name is "beastable" by those methods. Do these approaches make it reasonable to identify the beast based on such calculation alone?

A Quick Way To Find The Arc Length Between Between Two Points Of The Logarithmic Spiral, Peter Rothmaler

ACMS Conference Proceedings 2009

No abstract provided.

Algebra Investigator, Al Hibbard

ACMS Conference Proceedings 2009

No abstract provided.

About Furuta's Inequality And Aluthge Transform On Pseudo-Hilbert Spaces, Loredana Ciudariu

ACMS Conference Proceedings 2009

No abstract provided.

Tetzloff, Doris (Fa 444), Manuscripts & Folklife Archives

Folklife Archives Finding Aids

Finding aid only for Folklife Archives Project 444. Paper: "Folk Cures for Colds, Flu, and Sore Throats" written by Doris Tetzloff for a Western Kentucky University folk studies class.

Toler, Shelly (Fa 446), Manuscripts & Folklife Archives

Folklife Archives Finding Aids

Finding aid only for Folklife Archives Project 446. Paper: "[Supernatural Family Legends Chiefly About One Woman in Louisville, Kentucky]" written by Shelly Toler for a Western Kentucky University folk studies class.

Anida Yoeu Ali Interview, Tymothy Levine

Asian American Art Oral History Project

2009 interview with performance artist Anida Yoeu Ali by Tymothy Levine. For more information on the artist visit: http://atomicshogun.com/

Certain Diagonal Equations Over Finite Fields, Christopher Sze

USF Tampa Graduate Theses and Dissertations

Let F_q^t be the finite field with q^t elements and let F*_q^t be its multiplicative group. We study the diagonal equation ax^q−1 + by^q−1 = c, where a,b and c ∈ F*_q^t. This equation can be written as x^q−1+αy^q−1 = β, where α, β ∈ F ∗ q t . Let Nt(α, β) denote the number of solutions (x,y) ∈ F*_q^t × F*_q^t of x^q−1 + αy^q−1 = β and I(r; a, b) be the number of monic irreducible polynomials f …

Algorithms For Simple Stochastic Games, Elena Valkanova

USF Tampa Graduate Theses and Dissertations

A simple stochastic game (SSG) is a game defined on a directed multigraph and played between players MAX and MIN. Both players have control over disjoint subsets of vertices: player MAX controls a subset V_MAX and player MIN controls a subset V_MIN of vertices. The remaining vertices fall into either V_AVE, a subset of vertices that support stochastic transitions, or SINK, a subset of vertices that have zero outdegree and are associated with a payoff in the range [0, 1]. The game starts by placing a token on a designated start vertex. The token is moved …

Age, Growth, And Reproduction Of Calamus Proridens The Littlehead Porgy, From The Northeast Gulf Of Mexico, Amanda J. Tyler-Jedlund

USF Tampa Graduate Theses and Dissertations

A total of 1814 Calamus proridens ranging from 76 mm - 361mm fork length (FL) were collected and processed along the central and northwest coasts of Florida between 2000 and 2007 to determine size, sex, age, and reproductive condition. Females ranged from 76-297 mm FL (mean FL=156 mm, n=1420), males ranged from 141-361 mm FL (mean FL=244 mm, n=297), and transitionals ranged from 131-307 mm FL (mean FL=207 mm, n=42). Sex ratios sorted by length class, age, and overall were significantly different from the 1:1 ratio for gonochoristic species (P is less than 0.0001). Sagittal otoliths (sectioned and whole) from …

Green Local Governments In Florida: An Analysis Of Sustainability And Green Building Policies, Naimish S. Upadhyay

USF Tampa Graduate Theses and Dissertations

Sustainable development is increasingly being integrated within local government planning across United States. Many communities are attempting to translate this general principle into specific and measurable terms. The urban sustainability planning literature has mostly focused on descriptive case studies of pioneering cities that have been characterized as true innovators in their sustainability efforts. Noticeably absent from the literature, however, has been an examination of the sustainable development claims made by local governments undergoing 'green' certifications. This study evaluates the commitment and efforts of municipalities and counties of Florida within the framework of Florida Green Building Coalition's 'Green …

Donaldson, Gary - Collector (Sc 2266), Manuscripts & Folklife Archives

Manuscript Collection Finding Aids

Finding aid only for Manuscripts Small Collection 2266. Research material consisting chiefly of communications to General Braxton Bragg regarding military operations in Kentucky, September 1862 to April 1863.

Paper Abstracts (2009), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

Introduction (2009), Terry Perciante

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences