Education Commons^™

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 …

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.

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.

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 …

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. …

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. …

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.

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 …

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 …

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.

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 …

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 …

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.

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?

Introduction (2009), Terry Perciante

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

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

Schedule (2009), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

Table Of Contents (2009), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2009

Seventeenth Conference of the Association of Christians in the Mathematical Sciences

Koinonia, Connie Horton, Mark Davis, Eric Lowdermilk, Justin Heth, Caleb Farmer, Sharon Virkler, Philip D. Byers, David M. Johnstone, Jeff Rioux, Joshua Canada, Nicole Braddock Bromley, Kim Stave

Koinonia

Best Practices Features
Students of Concern Committee: Coordinating Care, Connie Horton and Mark Davis

Want to Change Student Culture on Your Campus? Do the CORE!, Eric Lowdermilk

Spotlight Features
You Only Get 1 Up, Justin Heth and Caleb Farmer

The Season, Sharon Virkler

Book Reviews
The Future of Christian Learning: An Evangelical and Catholic Dialogue (by Mark Noll and James Turner), reviewed by Philip D. Byers

Restoring Rebecca: A Story of Traumatic Stress, Caregiving and the Unmasking of a Superhero (by Christopher Marchand), reviewed by David M. Johnstone

A Review of Culture Making: Recovering our Creative Calling (by Andy Crouch), …

Assessment Of Living Learning Communities: Models For Campus Collaboration, Anita Henck, Jeffrey Jones

Growth: The Journal of the Association for Christians in Student Development

No abstract provided.

The Church: A Salient Support System For African-American College Students, Odelet Nance

Growth: The Journal of the Association for Christians in Student Development

This article builds on a previous qualitative study examining the role of religion in the lives of five African-American college students at a Predominately White Institution (PWI). Through a constructivist lens, the stories of first-year students revealed how their church informed their college experiences. This article describes how churches provided support for students through the theoretical frameworks illustrated by Alexander Astin, Jacqueline Mattis, and Robert Jagers. Churches and Predominately White Institutions are encouraged to form partnerships to strengthen and enhance support systems for African-American college students.

Research has shown that having an effective support system affects social and academic integration …

Student Affairs Reconsidered: A Look Back, A Response To Barry Loy, David M. Johnstone

Growth: The Journal of the Association for Christians in Student Development

On the tenth anniversary of David Guthrie’s Student Affairs: Reconsidered (SAR), Barry Loy wrote an article entitled: “Student Affairs Reconsidered: A Look Back.” He observed, after identifying a number of seminal works, that many in Christian Student Development have not really engaged or grappled with what it means to be an educator outside of the classroom. In letter format, I have chosen to interact with Barry in his observations with the hope that this is a conversation which is not ignored or forgotten by our colleagues. My purpose is not to disagree but continue the conversation which was started a …

The Moral Idea Of A University: A Case Study, Todd C. Ream, Perry L. Glanzer

Growth: The Journal of the Association for Christians in Student Development

A common moral idea is necessary for not only providing shape to a particular college or university community but also for the cultivation of the virtues amongst students. However, what are the characteristics of an institution that models this type of approach? In order to answer this question, this article describes what we believe is the best exemplar from our study of 156 different Christian colleges and universities. Such a determination was made based upon an analysis of documents (academic catalogs, admissions view books, and student handbooks) gathered from all 156 institutions and then site visits made to nine institutions …

Contributing Factors To Persistence Among African-American And Hispanic Students In Higher Education: A Phenomenological Qualitative Study At A Diverse Small Institution On The East Coast, W. Bernt King

Growth: The Journal of the Association for Christians in Student Development

The purpose for this phenomenological study is to understand the persistence of academically successful African-American and Hispanic students in an ethnically diverse higher education context where services and support targeting minority students do not formally exist. The research for this study has been conducted on campuses where the student body demographics are largely mono-ethnic. It would seem that as institutions of higher education become increasingly diverse, contributing factors to success for students of color may change. Themes that emerged include having a spiritual perspective, having a sense of purpose or the big picture, having support from family, having support from …

Growth No. 8 (2009) - Full Issue

Growth: The Journal of the Association for Christians in Student Development

The full issue of the eighth edition of Growth: The Journal of the Association for Christians in Student Development.

Residential Learning Communities: Facilitating Seamless Learning, Polly Graham

Growth: The Journal of the Association for Christians in Student Development

Research has shown that residential learning communities positively affect student outcomes. This study looked at the literature, finding a basis for this trend and uncovering the current impact residential learning communities are having on higher education. This study sought to challenge Christian higher education administrators and faculty to consider whether residential learning communities fit within their institution’s mission and vision.

The First Year: A Journey Of Meaning, Formation, And Substance, Brad A. Lau

Growth: The Journal of the Association for Christians in Student Development

No abstract provided.

The State Of The University: Academic Knowledges And The Knowledge Of God, David S. Guthrie

Growth: The Journal of the Association for Christians in Student Development

No abstract provided.