Science and Mathematics Education Commons^™

A Tale Of Two Mathematicians, Robert Brabenec

ACMS Conference Proceedings 1991

The goal of this paper is to identify some of the discoveries in mathematics during the period from 1820 to 1875 that have profoundly changed the nature of mathematics. To provide a context for this, the author compares some results of mathematics before the year 1820 with those present after 1875. And to humanize this, the author discusses the details of the life and times of two mathematicians, one who was active before 1820 and one who was active after 1875.

Cantor's Concept Of Infinity: Implications Of Infinity For Contingence, Bruce A. Hedman

ACMS Conference Proceedings 1991

Georg Cantor (1845-1918) was a devout Lutheran whose explicit Christian beliefs shaped his philosophy of science. Joseph Dauben has traced the impact Cantor's Christian convictions had on the development of transfinite set theory. In this paper I propose to examine how Cantor's transfinite set theory has contributed to an increasingly contingent world view in modern science. The contingence of scientific theories is not just a cautious tentativeness, but arises out of the actual state of the universe itself. The mathematical entities Cantor studied, transfinite numbers, he admitted were fraught with paradoxes. But he believed that they were grounded in a …

Using Mathematica To Teach Calculus, Russell W. Howell

ACMS Conference Proceedings 1991

For the past two years Westmont College has been one of the beta test sites for the calculus reform experiment being conducted at the University of Illinois under the direction of Jerry Uhl. Brown, Porta, and Uhl have created text which is integrated with Mathematica, a very powerful symbol manipulation, graphics, and number crunching software package produced by Wolfram Research, Inc. A preliminary version of this text has just been released [2]. We have used the Illinois materials for an honors course of incoming Freshmen with prior calculus experience. The purpose of this paper is to evaluate the curriculum and …

Reviving The Argument From Design: Detecting Design Through Small Probabilities, William A. Dembski

ACMS Conference Proceedings 1991

How small do probabilities of events have to get before we refuse to attribute those events to chance? Smallness of probability is itself not enough since events with extremely small probability occur all the time. But when such events are also prespecified, it becomes difficult to attribute their occurrence to chance. Typically we search for a causal account of how chance was offset. Lacking such a causal story, however, are we still justified in asserting that an extremely improbable prespecified event was not the result of chance? This question is relevant to such diverse areas as prophecy, miracles, parapsychology, gambling, …

Real Number Representations And The Distribution Of Following Segments, C.R. Rosentrater

ACMS Conference Proceedings 1991

No abstract provided.

Mathematical And Religious Knowledge In Nineteenth-Century England, Joan Richards

ACMS Conference Proceedings 1991

No abstract provided.

The Rigorous And The Natural In Eighteenth Century Mathematics, Joan Richards

ACMS Conference Proceedings 1991

No abstract provided.

Discrete Mathematics Versus Calculus - A Modern Day Extension Of The Formalist-Intuitionist Controversy, Marvin L. Johnson, Ph.D

ACMS Conference Proceedings 1991

No abstract provided.

Hexapod Herald - Vol. 2, No. 8, May 31, 1991

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Can Mathematical Methods Yield Theological Truth?, Jan De Koning

ACMS Conference Proceedings 1991

This paper discusses the negative impact mathematical methods in theology can have on the church by looking specifically at Arminius and Voetius, Dutch theologians living in the late sixteenth and early seventeenth century. Both Arminius and Voetius used mathematical methodology, although they came to different conclusions. I think their differences were due to their different worldviews, which in turn were fundamentally influenced by their upbringing. Both theologians, however, made the same mistake with their methodology and the church split because of that mistake.

How Has Christian Theology Furthered Mathematics?, Gene B. Chase

ACMS Conference Proceedings 1991

In revising my Bibliography of Christianity and Mathematics to include material prior to the 20th century, it is difficult to know what to include and what to exclude, since Christian presuppositions informed much scholarship in a vague, cultural sort of way. This paper is a first cut at attempting to narrow down candidates for that Bibliography by looking for specific ways in which Christian theology has furthered mathematics.

C. S. Lewis, George Macdonald, And Mathematics, David L. Neuhouser

ACMS Conference Proceedings 1991

This paper examines the influence and role of mathematics and mathematicians in the stories of George MacDonald and C. S. Lewis.

Introduction (1991), Robert Brabenec

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective

Table Of Contents (1991), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective

Schedule (1991), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1991

An Eighth Conference on Mathematics from a Christian Perspective

Hexapod Herald - Vol. 2, No. 7, May 7, 1991

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The Teaching Of Arithmetic: The Story Of An Experiment, L. P. Benezet

Humanistic Mathematics Network Journal

No abstract provided.

Student Seminars On "Famous Equations", Richard G. Montgomery

Humanistic Mathematics Network Journal

No abstract provided.

The Human/Computer Interface: Their Side Or Ours?, R. S.D. Thomas

Humanistic Mathematics Network Journal

No abstract provided.

An Historical Approach To Precalculus And Calculus, Victor J. Katz

Humanistic Mathematics Network Journal

No abstract provided.

An Alternative Approach To The History Of Mathematics, Claudia Henrion

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics: Contributions By Women, Jacqueline M. Dewar

Humanistic Mathematics Network Journal

No abstract provided.

Augsburg's Humanistic Curriculum Project, Larry Copes, Beverly Stratton

Humanistic Mathematics Network Journal

No abstract provided.

How Mathematics Teachers Use "Writing To Learn", Susan Hunter

Humanistic Mathematics Network Journal

No abstract provided.

On Teaching In The Mathematical Sciences, James M. Cargal

Humanistic Mathematics Network Journal

No abstract provided.

Program Abstracts, 103rd Session, Iowa Academy Of Science, April 19-20, 1991, Iowa Academy Of Science

Iowa Academy of Science Documents

Presentation abstracts from the annual meeting of the Iowa Academy of Science

The Annual Meeting Of The Iowa Academy Of Science April 19-20, 1991 [Program, 103rd Meeting], Iowa Academy Of Science

Iowa Academy of Science Documents

Contents:

Program Summary --- 5
General Session Speakers --- 10
Awards --- 13
Distinguished Fellow --- 13
Distinguished Iowa Scientist --- 14
Symposia Programs --- 15
Poster Session --- 18
Campus Map --- Centerfold
Section Programs --- 19
Agricultural Sciences --- 20
Anthropology --- 21
Botany --- 21
Cellular & Molecular Biology --- 23
Chemical Education --- 27
Chemistry, Inorganic --- 27
Chemistry, Organic --- 29
Conservation --- 31
Earth Science Teaching --- 32
Elementary Science Teaching --- 32
Engineering --- 32
Geology --- 35
Linguistics --- 37
Nursing --- 38
Physics --- 38
Physiology --- 39
Psychology --- 40 …

Hexapod Herald - Vol. 2, No. 6, April 15, 1991

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Teaching Third Grade Math : A Learning Experience, Emily Terte

Graduate Student Independent Studies

This study was based on my experience as a new teacher, teaching math to a group of third graders. The purpose was to examine my methods of planning and teaching in order to better understand how I was learning and changing my views on teaching math. I gathered information by reading educational theorists, observing the children in my group, recording anecdotes and writing about my planning process. I gained inspiration from readings of Piaget's and other cognitive theorists, I gained insights from the ways my children responded to my lessons and I discovered that using manipulatives, examples that the children …

Plate Tectonics, Space, Geologic Time, And The Great Plains: A Primer For Non-Geologists, Robert F. Diffendal Jr.

School of Natural Resources: Faculty Publications

For most Americans, "The Great Plains" evokes images of grasslands, dust storms, prairie fires, Native Americans on horseback, cowboys and wheat lands, and perhaps flat valleys crossed by braided rivers carrying a heavy load of sand and gravel, extremes of weather, and a climate typified by an alternation of droughts and wetter periods. Geologists picture such general images, too, but they also see radical changes in the landscape over periods expressed in millions rather than hundreds of years. Geologically speaking, human activities on the Great Plains are too recent to have much of a place in the broad geologic history …