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Full-Text Articles in Science and Mathematics Education

The Activitiy And Application Of Mathematics, R. S. D. Thomas May 1983

The Activitiy And Application Of Mathematics, R. S. D. Thomas

ACMS Conference Proceedings 1983

There are four so-called philosophies of mathematics that I regard as totally discredited, formalism, intuitionism, logicism, and Platonism. It is a common feature of the ism philosophies of mathematics that they do not take the application of mathematics very seriously. This paper examines a view of mathematics that takes applications seriously.


Using Mathematical Concepts To Illustrate Scriptural And Spiritual Ideas, Robert Brabenec May 1983

Using Mathematical Concepts To Illustrate Scriptural And Spiritual Ideas, Robert Brabenec

ACMS Conference Proceedings 1983

Christian mathematics faculty and students respond in differing ways to this idea of applying mathematics to Scripture, and vice-versa. Mathematics is man-made, while Scripture is inspired by God, so they should be disjoint entities. However, it is well known that the Scripture used analogies of familiar human objects and ideas in order to explain spiritual ideas. This paper discusses various mathematical concepts and how they illustrate Scriptural and spiritual ideas.


A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier May 1983

A Comparative Study Of Christian Mathematical Realism And Its Humanistic Alternatives, Paul Zwier

ACMS Conference Proceedings 1983

This paper explores what sort of stance a Christian should have on important mathematical questions such as realism.


Introduction (1983), Robert Brabenec May 1983

Introduction (1983), Robert Brabenec

ACMS Conference Proceedings 1983

No abstract provided.


Table Of Contents (1983), Association Of Christians In The Mathematical Sciences May 1983

Table Of Contents (1983), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1983

A Fourth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec, Wheaton College


Internationales Symposium Über Die Erforschung Biologischer Ressourcen Der Mongolischen Volksrepublik, Michael Stubbe, W. Hilbig, N. Dawaa Jan 1983

Internationales Symposium Über Die Erforschung Biologischer Ressourcen Der Mongolischen Volksrepublik, Michael Stubbe, W. Hilbig, N. Dawaa

Erforschung biologischer Ressourcen der Mongolei / Exploration into the Biological Resources of Mongolia, ISSN 0440-1298

First two paragraphs:

Vom 29. 8. b is 2. 9. 1983 organisierte die Sektion Biowissenschaften der Martin-Luther-Universität gemeinsam mit der Biologischen Gesellschaft der DDR in Halle/ Saale die bisher größte internationale wissenschaftliche Konferenz über die Erforschung biologischer Ressourcen der MVR.

166 Biologen, Fachleute anderer Disziplinen der Naturwissenschaften, der Landwirtschaftswissenschaften und Medizi aus der UdSSR (18), CSSR (15), MVR (13), VR olen (3), Frankreich (2) und der DDR (115) nahmen an diesem Symposium teil, um in einem intensiven Erfahrungsaustausch Fragen der Erforschung der biologischen Ressourcen der MVR zu beraten.


Theology And Philosophy Of Mathematics, Russell V. Benson Jun 1981

Theology And Philosophy Of Mathematics, Russell V. Benson

ACMS Conference Proceedings 1981

This paper examines history and philosophy to explore the answer to the theological question of whether or not Christians should pursue the mathematical sciences.


Some Contributions Of Stanley Jaki To An Understanding Of Mathematics, Paul Devries Jun 1981

Some Contributions Of Stanley Jaki To An Understanding Of Mathematics, Paul Devries

ACMS Conference Proceedings 1981

This paper comments on passages from the books by Stanley L. Jaki, Science and Creation, The Relevance of Physics, and The Road to Science and The Ways to God.


Random Variables And A Sovereign God, Lloyd Montzingo Jun 1981

Random Variables And A Sovereign God, Lloyd Montzingo

ACMS Conference Proceedings 1981

This paper takes a brief look at the history of conflict between the concepts of chance and divine activity. After reviewing some evidence for randomness in the universe, present philosophical and theological views from four different scientists on this subject are presented. The discussion concludes with some questions and observations concerning those questions.


A Response To Professor Poythress’S “Science As Allegory”, Paul Devries Jun 1981

A Response To Professor Poythress’S “Science As Allegory”, Paul Devries

ACMS Conference Proceedings 1981

This paper critiques some of the arguments given by Vern Sheridan Poythress in his paper, Science as Allegory, particularly about the claims that the universe is poetry and that science is poetry.


Probabilistic Ways Of Thinking, Garnet Hauger Jun 1981

Probabilistic Ways Of Thinking, Garnet Hauger

ACMS Conference Proceedings 1981

Events of the tiniest probabilities occur every day, and yet we tend to think of these events as unusual and even miraculous. So what should be a Christian's response to such events? Beginning with some simple concepts of probability, this paper examines the role that chance plays in our lives.


The Development Of Algebraic Structures During The Nineteenth Century, Richard Stout Jun 1981

The Development Of Algebraic Structures During The Nineteenth Century, Richard Stout

ACMS Conference Proceedings 1981

I remember entering the faculty lounge one day while I was in graduate school and hearing a logician chiding some of the algebraists in the room. He said, "Don't you fellows ever get tired of just plus and times?" His remark, said in jest, had more to it than he may have realized. The fact that there is structure to algebra, represented by plus and times, was a vital discovery in the nineteenth century. It would lead algebra away from a reliance on numbers to a much more formal approach, one in which many different types of algebraic structures could …


A Reaction To The Poythress Paper, Paul J. Zwier Jun 1981

A Reaction To The Poythress Paper, Paul J. Zwier

ACMS Conference Proceedings 1981

This paper reacts to the metaphor of Vern Sheridan Poythress’s papers, Science as Allegory, exploring what makes a good metaphor and the quality of argument it produces.


Teaching Mathematics Distinctively, Paul J. Zwier Jun 1981

Teaching Mathematics Distinctively, Paul J. Zwier

ACMS Conference Proceedings 1981

By examining previously used education models, Paul Zwier how he developed his current methods of teaching mathematically distinctively.


An Integration Of Integrations Of Christianity And Mathematics—A Response To Harold Heie, Gene B. Chase Jun 1981

An Integration Of Integrations Of Christianity And Mathematics—A Response To Harold Heie, Gene B. Chase

ACMS Conference Proceedings 1981

There are three general approaches taken to integrate Christianity and Mathematics: the applicational, the incarnation, and the philosophical. This paper discusses these views and responds to the approaches of Harold Heie.


Reality And Imagination In Mathematics And Religion, Dave Neuhouser Jun 1981

Reality And Imagination In Mathematics And Religion, Dave Neuhouser

ACMS Conference Proceedings 1981

What does either reality or imagination have to do with mathematics? What does either reality or imagination have to do with religion? The thesis of this paper is that mathematics and religion, both, should be closely related to reality and that imagination is essential in both areas. In fact, imagination is essential in our attempts to understand reality.


Introduction (1981), Robert Brabenec Jun 1981

Introduction (1981), Robert Brabenec

ACMS Conference Proceedings 1981

A Third Conference on Mathematics from a Christian Perspective


Table Of Contents (1981), Association Of Christians In The Mathematical Sciences Jun 1981

Table Of Contents (1981), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1981

No abstract provided.


Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier Jun 1979

Making Curriculum Decisions And The Nature Of Mathematics, Paul Zwier

ACMS Conference Proceedings 1979

This paper explores the pedagogical decisions made by those teaching mathematics by discussing the various values and priorities of a mathematics course.


Mathematics In The Christian Philosophy Of Life, C. Ralph Verno Jun 1979

Mathematics In The Christian Philosophy Of Life, C. Ralph Verno

ACMS Conference Proceedings 1979

It is universally agreed that mathematics is important, that it is indeed very significant in life. This would be admitted even by those who are ignorant of or who dislike mathematics. There would be much less agreement, however, about why mathematics is important or significant. Such disagreement exists even more among mathematicians and mathematics educators. Unhappily many of the Christians who think about such things (and there are not very many who think about them at all) basically share the utilitarian view of many non-Christian thinkers, although endeavoring to place it within a Christian context. They think it is wonderful …


Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno Jun 1979

Brief Position Paper For Panel Discussion On Relation Of Mathematics And Christianity, C. Ralph Verno

ACMS Conference Proceedings 1979

Some people view a conjoining of Christianity and Mathematics as improper. They miss the point of the relationship. The content of mathematics is not affected by Christianity. The relationship does not concern what, or how (the Christian doesn’t solve equations or differentiate differently), but it concerns why. It concerns such things as the interpretation and appreciation of the beauty, the symmetries, the coincidences, the remarkable properties, man’s creative role, etc. This paper explores the relationship between Christianity and mathematics as part of a panel discussion on the topic.


On Kuyk’S Complementarity In Mathematics, Gene B. Chase Jun 1979

On Kuyk’S Complementarity In Mathematics, Gene B. Chase

ACMS Conference Proceedings 1979

This paper examines Willem Kuyk’s book, Complementarity in Mathematics, and the interplay between the subjects of mathematics.


Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart Jun 1979

Are Mathematical Objects Ontologically Real? Ideas And Suggestions, Frank R. Bernhart

ACMS Conference Proceedings 1979

This essay will consider a few ways that realism in the modern philosophy of mathematics might be understood and defined.


Intuitionism, Terence H. Perciante Jun 1979

Intuitionism, Terence H. Perciante

ACMS Conference Proceedings 1979

Intuitionism derives philosophically from Kant's Conceptualism -- the object of the mathematical knowledge only have reality within the mind, they do not have reality apart from our thinking. This paper examines the nature of intuitionism and its strengths.


Non-Standard Calculus, Ron Friewald Jun 1979

Non-Standard Calculus, Ron Friewald

ACMS Conference Proceedings 1979

This paper is intended to provide a very cursory introduction to how “nonstandard calculus” works, giving a sketch of how elementary calculus can be presented using hyperreal numbers.


Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma Jun 1979

Axiomatic Structure And The Method Of Analysis: Shifting Styles In The History Of Mathematics, Calvin Jongsma

ACMS Conference Proceedings 1979

This article surveys the different views of mathematical methodology that occurred from ancient Greek times through the early modern period up until its codification around 1900. After summarizing the axiomatic approach advocated by Aristotle and implemented in mathematics by Euclid, the talk explores the character of analysis in ancient Greek times, its development into a symbolic algebra by Viete and Descartes, and its expansion into a calculus of fluxions and differentials by Newton and Leibniz. The article concludes by touching on the recovery and transformation of the deductive ideal for mathematics by Pasch, Peano, and Hilbert during the late nineteenth …


Two Philosophical Problems About Mathematics, Stephen Barker Jun 1979

Two Philosophical Problems About Mathematics, Stephen Barker

ACMS Conference Proceedings 1979

Mathematics is a flourishing field of human endeavor, a field that is accorded great respect and high standing. For 2500 years or more, many of the best minds available have worked in this field; and the results produced have indirectly been of enormous value to other fields, such as physics, engineering, architecture, economics, and so on. But with is mathematics about? Physics studies moving bodies; engineering studies bridges; architecture studies buildings; economics studies commercial behavior: here there are phenomena we can point to that constitute the subject matter. But what does mathematics study? If you answer “Numbers”, or “Abstract types …


Introduction (1979), Robert Brabenec May 1979

Introduction (1979), Robert Brabenec

ACMS Conference Proceedings 1979

No abstract provided.


Table Of Contents (1979), Association Of Christians In The Mathematical Sciences May 1979

Table Of Contents (1979), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1979

A Second Conference on the Foundations of Mathematics


A Christian Point Of View, A. Wayne Roberts Apr 1977

A Christian Point Of View, A. Wayne Roberts

ACMS Conference Proceedings 1977

Does the fact that you are a Christian affect the way that you teach mathematics? This paper seeks to answer the question, what contributions can a mathematics teacher in a Christian school make to the distinctive purpose of such a school?