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## Full-Text Articles in Education

The Role Of Mathematics In Culture, W. James Bradley

#### The Role Of Mathematics In Culture, W. James Bradley

*ACMS Conference Proceedings 1997*

This paper examines theories of the role of mathematics in culture and seeks to understand how a Christian should view the role of mathematics.

Solomon's Sea And The Biblical Π, Andrew Simoson

#### Solomon's Sea And The Biblical Π, Andrew Simoson

*ACMS Conference Proceedings 1997*

From I Kings 7:23, the apparent diameter and circumference of a circular ring are given as 10 and 30 cubits which suggests that the Biblical value of π is 3 rather a number closer to π. However we recount seven different somewhat whimsical explanations as to why this conclusion is overly-hasty.

Mathematics And Values: Can Philosophy Guide Projects?, Michael H. Veatch

#### Mathematics And Values: Can Philosophy Guide Projects?, Michael H. Veatch

*ACMS Conference Proceedings 1997*

The philosophy of mathematics has provided insight on questions of foundations and mathematical truth; however, it has not been very fruitful in guiding the practice of mathematics. This paper attempts to find points of contact between a Christian worldview and the choice of mathematical projects and methods. Three areas are considered: (i) dubitability in current research, (ii) the intrinsic value of contemporary mathematics to contemporary society, and (iii) the affirmation of human value in the use of mathematics. Finally, a framework for valuing mathematics is proposed as an encouragement to think more deeply about how a Christian might choose a …

The Mathematical Sciences And The Mediator Of Creation, W. David Laverell

#### The Mathematical Sciences And The Mediator Of Creation, W. David Laverell

*ACMS Conference Proceedings 1997*

This article stems from a conviction that while the development of a theistic view of the mathematical sciences is a laudable goal and much to be encouraged, it is incumbent upon us to explore every avenue that might lead to a distinctively *Christian* perspective. This leads naturally to a consideration of the unique role played by Christ in Creation, and a convenient framework is provided by seeing Christ as *Mediator of Creation*. We shall discuss the term itself, examine the biblical passages that seem to present the concept, consider the ways these passages have been understood by theologians, and …

Digital Filtering And Smoothing: A Student Simulation Project, Eric Gossett

#### Digital Filtering And Smoothing: A Student Simulation Project, Eric Gossett

*ACMS Conference Proceedings 1997*

A bug tracking problem is used to introduce students to filtering and smoothing real-time data. A predictor-corrector filter/smoother algorithm is developed and a simulation platform is provided so that students can program and test implementations of the filter/smoother. The platform includes the ability to animate the simulation.

The tracking problem: A small computer bug is traveling around the $x-y$ plane trying to avoid detection. We can eliminate the bug if we can produce a reasonably accurate approximation to its trajectory.

We have a bug detecting device which can be pointed at the plane. It can measure the $x$ and $y$ …

A First Draft Of The History Of Acms, Robert Brabenec

#### A First Draft Of The History Of Acms, Robert Brabenec

*ACMS Conference Proceedings 1997*

This paper is a draft of the history of the Association of Christians in the Mathematical Sciences as told by Robert Brabenec.

History And Current Situation Of Russian Church, Ioann S. Goncharov, Gennadiy A. Kalyabin

#### History And Current Situation Of Russian Church, Ioann S. Goncharov, Gennadiy A. Kalyabin

*ACMS Conference Proceedings 1997*

This paper brief outlines the main periods in Russia's Orthodoxy including latest seven decades. In the Appendix a mathematical model is proposed for explaining the Divine Features such as Omniscience, Omnipotence, Predestination, and the free will of men.

Mathematics At Chartres Cathedral, Richard Stout

#### Mathematics At Chartres Cathedral, Richard Stout

*ACMS Conference Proceedings 1997*

Having had several opportunities to travel to France, often with groups of students, our trips have usually included a visit to Chartres, especially to visit the magnificent Gothic cathedral that dominates the town. On a recent visit I was again struck by the beauty, majesty and awe that the cathedral inspires. The building not only does a remarkable job of telling Biblical stories and of enclosing a space conducive to worship, it directs one's eyes and one's spirits upward. This is achieved not only by the beautiful stained glass windows and the striking sculptures, but also by the overall design …

An Investigation Of The Behavior Of Calculus Students Working Collaboratively In An Interactive Software Environment, Angela Hare

#### An Investigation Of The Behavior Of Calculus Students Working Collaboratively In An Interactive Software Environment, Angela Hare

*ACMS Conference Proceedings 1997*

Recent work in the area of cognitive research in mathematics education focuses on detailed examinations of the learning process of students and how this process is affected by current innovations in the classroom, including collaborative learning and the use of computers and interactive software. Much of this work is supported by the learning framework of constructivism, a school of thought which is based on the work and writings of Jean Piaget. Piaget, a French psychologist in the mid-twentieth century, observed the learning behavior of children and concluded that individuals construct their own knowledge by creating mental structures which explain their …

A Tale Of Two Transitions, David Klanderman, Sharon Robbert, Robert Wheeler

#### A Tale Of Two Transitions, David Klanderman, Sharon Robbert, Robert Wheeler

*ACMS Conference Proceedings 1997*

In this paper, we examine transitions to proof courses at two institutions. Bob Wheeler has taught the course at Northern Illinois University. Both Sharon Robbert and Dave Klanderman have taught a related course at Trinity Christian College. We analyze various features of these courses and offer suggestions for other colleges and universities.

Using Java And Html For Linear Algebra Instruction, Jonathan R. Senning

#### Using Java And Html For Linear Algebra Instruction, Jonathan R. Senning

*ACMS Conference Proceedings 1997*

This paper addresses some of the issues involved with using the HTML, JavaScript and Java to develop and serve a sequence of laboratory modules for use in teaching linear algebra. Attention is paid to the rationale for this approach as opposed to the more traditional approach of laboratory exercises executed using MATLAB or some similar computational tool. Several methods to display mathematics with HTML are described. Some implementation detail and a brief description of the HTML and Java based Linear Algebra Visualization Assistant (LAVA) is presented.

Fractal Geometry And Chaos Theory: From Old Problems To New Models And Methods, Terence H. Perciante

#### Fractal Geometry And Chaos Theory: From Old Problems To New Models And Methods, Terence H. Perciante

*ACMS Conference Proceedings 1997*

Fractal geometry and chaos theory are deeply rooted in significant problems in the history of mathematics and science. While mathematicians have geometrical descriptions of space with its properties, scientists have attempted to characterize the physical properties of fundamental entities present in space and time. The separate investigations frequently influenced each other and led to profound theories, answers, and models. However, at the same time new problems repeatedly arose internal to mathematics and externally in the applications to which mathematics was applied. Fractal geometry issues from these antecedents in response to features and processes in nature not easily represented by historical …

Introduction (1997), Association Of Christians In The Mathematical Sciences

#### Introduction (1997), Association Of Christians In The Mathematical Sciences

*ACMS Conference Proceedings 1997*

Eleventh ACMS Conference on Mathematics from a Christian Perspective

Table Of Contents (1997), Association Of Christians In The Mathematical Sciences

#### Table Of Contents (1997), Association Of Christians In The Mathematical Sciences

*ACMS Conference Proceedings 1997*

Eleventh ACMS Conference on Mathematics from a Christian Perspective

Schedule (1997), Association Of Christians In The Mathematical Sciences

#### Schedule (1997), Association Of Christians In The Mathematical Sciences

*ACMS Conference Proceedings 1997*

Eleventh ACMS Conference on Mathematics from a Christian Perspective