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Full-Text Articles in Higher Education
Approximating Sums Of Infinite Series, Kara Garrison, Thomas E. Price
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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, 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
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
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
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 …
Residential Learning Communities: Facilitating Seamless Learning, Polly Graham
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
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
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.
Deeper Learning In Leadership: Helping College Students Find The Potential Within, Kathryn A. Tuttle
Deeper Learning In Leadership: Helping College Students Find The Potential Within, Kathryn A. Tuttle
Growth: The Journal of the Association for Christians in Student Development
No abstract provided.
Excellence Without A Soul: How A Great University Forgot Education, Rebecca A. Owen
Excellence Without A Soul: How A Great University Forgot Education, Rebecca A. Owen
Growth: The Journal of the Association for Christians in Student Development
No abstract provided.
Campus Crisis Management: A Comprehensive Guide To Planning, Prevention, Response, And Recovery, S. Nicole Hoefle
Campus Crisis Management: A Comprehensive Guide To Planning, Prevention, Response, And Recovery, S. Nicole Hoefle
Growth: The Journal of the Association for Christians in Student Development
No abstract provided.