Applied Mathematics Commons^™

Breathing Life Into The Liberal Arts Math Course: Ten Teaching Tips, Mark Colgan

ACMS Conference Proceedings 2007

Teaching the liberal arts math course for general education students presents unique challenges, but the course also offers exciting life applications and opportunities for integrating faith with a variety of creative topics. I try to make the course interesting by actively involving students and relating mathematical topics to their lives. In this paper I will discuss some things I have tried in the liberal arts math course I teach at Taylor University: using students' names, use of undergraduate teaching assistants (T As), group guessing games, handout booklets, hangman, group projects, memory verses, reflection papers, and life lessons.

Six Ways, Yea Seven, That Scripture Is Integral To Our Science And Math Classes, Sean Bird

ACMS Conference Proceedings 2007

This paper looks at the ways the Bible informs mathematics and its role in guiding our stewardship of God’s creation.

Voltaire: A Study In Finding A Needle In A Haystack, Andrew Simoson

ACMS Conference Proceedings 2007

In Euler’s popular notes to a German Princess of 1837, he describes Voltaire as laughing about the idea of a hole going to Earth’s center. Did Voltaire actually write about this idea? Herein we describe the answers to be found upon searching through the huge opus of Voltaire’s written work. The result has links to Newton’s 1687 Principia discoveries and the French Academy’s early eighteenth century international scientific expeditions to Lapland and Peru establishing the veracity of those discoveries.

The Beautiful And Sublime In Mathematics, Paul Zwier

ACMS Conference Proceedings 2007

A précis of Paul Zwier's talk presented at the meetings of the ACMS Conference at Messiah College on June 1, 2007.

Connection-Oriented Computer Science Education, Kim Kihlstrom

ACMS Conference Proceedings 2007

Computers play an important role in every area of our society and are integral in every academic discipline. Today's computer science students need a background that will prepare them for the expanding range of computing opportunities. The opportunities for computer professionals are varied and increasing in diversity. However, undergraduate computer science programs tend to be narrowly focused on programming and related technical skills. Female students in particular tend to be highly interested in exploring connections between computer science and other fields.

How can we leverage these observations at a liberal arts college, where interdisciplinary connections are highly desirable, and where …

Exploring Loci In Geometry, Owen Byer, Deirdre Smeltzer

ACMS Conference Proceedings 2007

No abstract provided.

Introduction (2007), Angela Hare

ACMS Conference Proceedings 2007

Sixteenth Conference of the Association of Christians in the Mathematical Sciences

Table Of Contents (2007), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2007

Sixteenth Conference of the Association of Christians in the Mathematical Sciences

Schedule (2007), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2007

Sixteenth Conference of the Association of Christians in the Mathematical Sciences

An Augustinian Perspective On The Philosophy Of Mathematics, James Bradley

ACMS Journal 2007

From a Christian perspective, both modern and post-modern approaches to the philosophy of mathematics have significant shortcomings. This paper explores an alternative. It summarizes Augustine of Hippo’s views on the four classical themes of the philosophy of mathematics-the ontology of mathematical objects, their epistemology, the nature of truth in mathematics, and how we account for the effectiveness of mathematics in describing the natural world. It then traces what has happened to Augustine’s perspective in the roughly 1600 years since it was written concluding with a discussion of some spiritual and intellectual problems with the currently dominant secular perspective.

Object Information Repository In A Christian Theory Of Technology, Longy O. Anyanwu

ACMS Conference Proceedings 2005

It has not been easy to formulate a stable Christian theory of technology. Nonetheless, some ideas and Christian theories of technology have been fielded by a handful of distinguished Christian scientists and technology experts. Although some of these ideas and theories are substantively at variance, others have sizeable common base. Important, though, is the seeming agreement on the visualization of technology as an object with embedded values and information. With object information repository as the primary focus, this study, therefore, attempts to provoke the consideration of a possible synthesis and agreement on the foundational essence of Christian theory of technology …

The Five Orders Of Ignorance: Knowledge, Ignorance, And The Nature Of Software, Phillip Armour

ACMS Conference Proceedings 2005

Software is not a product, it is a medium in which we store knowledge. As simple as this idea seems, the consequences of it are quite significant. If software is not a product, then software development is not a product of production activity, despite the common practice of managing it as such. Most organizations believe that job of software developers is to build a system that we then ship to a customer. It is not. The system we build and ship to the customer is actually the by-product of the real activity which is learning. Software development is the activity …

Mathematics As Poesis: A Preliminary Project Report, Sam Stueckle, Jeremy Case, Ken Constantine, Troy Riggs

ACMS Conference Proceedings 2005

This paper talks about the various viewpoints of mathematics, beginning with classical perspectives and ending with the idea of poesis, or the theology of math as the art of making.

Integrating Catholic And Marianist Historical Perspectives In A Mathematics Coruse For Elementary Education Majors, Mary Wagner-Krankel

ACMS Conference Proceedings 2005

St. Mary's University in San Antonio recently reaffirmed their distinctive nature as a Catholic university promoting the Marianist tradition. This new affirmation is in response to the smaller number of Marianists serving in teaching and administrative positions on campus. Faculty have been encouraged to explore new ways to integrate Catholic and Marianist values and historical perspectives in their teaching and research. I will discuss some major Catholic mathematicians and some classroom activities that I developed for the course MT3304- Mathematics for the Elementary Teacher.

Does The Success Of Mathematics Defeat Naturalism?, Russell W. Howell

ACMS Conference Proceedings 2005

This paper discusses the arguments for and against Intelligent Design from the perspectives of mathematics.

The Artificial Gravity Pitch, Andrew Simoson

ACMS Conference Proceedings 2005

Toss a ball into the air; we analyze and contrast the resultant trajectories when standing both on the Little Prince’s Asteroid B-612 of 1943 and in Arthur C. Clark’s rotating space ship Discovery of 2001.

Explicit Null Space Of Discrete Laplacian, Hanna Vanderzee

ACMS Conference Proceedings 2005

For a given partial differential equation, such as Poisson’s equation in two dimensions, stipulating the null-space component of the solution is sometimes a useful alternative to specifying boundary conditions in order to determine a unique solution. To implement this approach computationally, we need a sparse and well-conditioned representation of the null space of the relevant differential operator. We discuss how the null-space method works and present an explicit formula for generating a sparse null basis for a uniform, finite-difference discretization of Laplacian operator on the unit square. The formula makes use of a triangular array which has the large Schroeder …

Artificial Intelligence: Can We Create Machines In Our Own Image?, Derek C. Shuurman

ACMS Conference Proceedings 2005

The field of Artificial Intelligence (AI) leads to many questions about what it means to be human. Some researchers claim that inevitably computers will reach a certain threshold of complexity that will enable them to “think” and artificial consciousness will emerge. This speculation, taken a step further, leads some to believe that computer technology will eventually set humans free from the frailty of their bodies and enable them to achieve immortality. Underlying these claims is a reductionistic philosophy about what it means to be human and how one approaches the mind-body problem. Ever since the fall people have wanted to …

Integration Of Faith, Learning, And Christian Vocation With First-Year Mathematics Majors, Doug Phillippy, Angela Hare

ACMS Conference Proceedings 2005

The mission of Messiah College is "to educate men and women toward maturity of intellect, character, and Christian faith, in preparation for lives of service, leadership and reconciliation in church and society". Therefore, as faculty in the Mathematical Sciences Department at this college, how we build maturity in our students, not only a mature mathematical intellect, but also maturity of character and Christian faith, reflects our commitment to the mission of the College. Further, our departmental mission statement includes the objective "to challenge students to live out their faith in their vocation as they become servant leaders in society, church, …

Writing Math Lessons That Integrate Christian Beliefs: The Kuyers Institute Grant Project, Dave Klanderman, Gary Talsma

ACMS Conference Proceedings 2005

In this paper, we describe multiple math lessons designed to incorporate a Christian perspective. A total of nine lessons, some with materials for multiple class sessions, will soon be published by the Kuyers Institute. These lessons are appropriate for use at the middle school and high school level.

A Christian Constructivist? The Impact Of Worldview On Learning Theories And The Mathematics Education Research Community, Jeffrey Barrett, Dave Klanderman

ACMS Conference Proceedings 2005

This paper analyzes the role of worldview and its impact on learning theories within the mathematics education research community. The authors propose a scholarly agenda for engaging this issue in future research projects.

Teaching The History Of Mathematics Using Architecture And Art, Maria Zack

ACMS Conference Proceedings 2005

Point Loma Nazarene University (PLNU) is a Christian university deeply committed to teaching in the liberal arts tradition. As a consequence, all of our students take roughly 64 semester hours of “general education” courses as part of the 128 semester hours required for graduation. One of the challenges of teaching at such an institution is helping students to value the core curriculum. I recently taught “Topics in Mathematics: Mathematics, Art and Architecture.” My goal was to help students see, discuss and understand connections between the mathematics that they were studying and some aspects of the general education core that is …

Mathematics From A World View Perspective, Jonathan Zderad

ACMS Conference Proceedings 2005

No abstract provided.

Artificial Intelligence: Can We Create Machines In Our Own Image?, Derek C. Schuurman

ACMS Conference Proceedings 2005

No abstract provided.

Determinants And Zero Divisors In Rings Of Matrices, Gary L. Raduns, Wolfgang Kappe

ACMS Conference Proceedings 2005

No abstract provided.

The Consequences Of Believing In An Infinite God, John T. Noonan

ACMS Conference Proceedings 2005

No abstract provided.

Technology And Formation: How Does Computing Shape Us?, Cary C. Gray

ACMS Conference Proceedings 2005

No abstract provided.

Nicole Oresme - An Invitation, Fernando Q. Gouvea

ACMS Conference Proceedings 2005

No abstract provided.

Object Information Repository In Christian Theory Of Technology, Longy O. Anyanwu

ACMS Conference Proceedings 2005

No abstract provided.

The Divine Challenge: On Matter, Mind, Math And Meaning, By John Byl, Russell W. Howell

ACMS Conference Proceedings 2005

A book review of The Divine Challenge: On Matter, Mind, Math and Meaning (2004, Banner of Truth Trust) by John Byl.