Teacher Education and Professional Development Commons^™

Logic And Proof For Mathematics: A Twentieth Century Perspective, Calvin Jongsma

ACMS Conference Proceedings 1987

This talk reports on the author's experience in teaching college mathematics students the basics of logic and proof in preparation for their transitioning to upper-level proof-based mathematics courses, following that up with a philosophical and historical analysis of mathematicians' attitudes toward such a project going back to nineteenth- and twentieth-century developments in logic and foundations (De Morgan, Boole, Frege, Russell, and Hilbert). The natural deduction approach to logic and inference developed in the mid-twentieth century by Jaskowski and Fitch is recommended as a much better focused approach for learning how to do proofs in mathematics. This idea is systematically developed …

Riesz Spaces And Their Applications In Economics, Calvin E. Piston

ACMS Conference Proceedings 1987

We will examine an economic model of pure exchange and some results concerning different notions of equilibrium. In particular, we will focus on the role played by the theory of Riesz space.

Variations On A Theme, Robert Creighton Buck

ACMS Conference Proceedings 1987

An autobiographical narration by Robert Creighton Buck, detailing his experiences in the field of mathematics, and the various questions and themes reoccurring in the mathematical sciences.

Another Look At Pick's Theorem, Dale Varberg

ACMS Conference Proceedings 1987

In this paper, the author discusses his experience building a proof for Pick's Theorem and theorem's history.

An Activist Model Of The Metaphysics Of Mathematics, Christopher Menzel

ACMS Conference Proceedings 1987

No abstract provided.

Conic Sections In Ip, Richard Laatsch

ACMS Conference Proceedings 1987

No abstract provided.

3:16 - An Approach To Bible Study, Donald E. Knuth

ACMS Conference Proceedings 1987

No abstract provided.

Introduction (1987), Paul Zwier

ACMS Conference Proceedings 1987

A Sixth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec

Table Of Contents (1987), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1987

A Sixth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec

Proof And Intuition, Michael Detlefsen

ACMS Journal 2004

This paper aims to give a clear exposition of two critiques of logicism. The intuitionist, Brouwer, is best known for rejecting the law of the excluded middle (his "special critique.") The paper argues that Brouwer's "general critique" is deeper and more extensive than this. That is, Brouwer is arguing that mathematical knowledge requires a kind of direct mathematical experience, analogous to sensory experience and this cannot be attained simply by linguistic operations independently of experience. It also discusses Poincare's critiques - that there is a huge difference between genuine mathematical insight and an ability to logically manipulate mathematical truths and …

Attitudes Of Preservice Elementary Teachers Toward Science And The Teaching Of Science, Gregory C. Schaeffer

Masters Theses

The importance of attitude toward the teaching and understanding of science has long been a concern of researchers. Its importance in the schools, as a means to influence academic achievement, continues to be felt. Teachers, often without trying, pass on to their students attitudes about science that are unproductive. It is, therefore, important for teachers to possess attitudes supporting the subjects that they teach. The problem then is determining what factors contribute to these teacher attitudes and how are they passed on to students.

Past research has failed to show conclusively what actually contributes to the creation of positive and …

On Universal Tests For The Truth Of World Views: Their Existence And Identifiability, William Buttelmann, Paul Fienberg

ACMS Conference Proceedings 1985

In his book, Christian Apologetics, Norman Geisler proposes a universal test for the truth of world views. We examine this concept and find that it raises serious difficulties. This paper first presents some basic definitions for "world view" and "truth-value of a world view," then studies the concept of a universal test for the truth of world views in light of these definitions. Geisler has proposed what amounts to a universal decision procedure to determine the truth-value of world views. We show that, in the general case, no such universal decision procedure exists. Whether or not such universal tests for …

Selected Bibliography Of Donald Maccrimmon Mackay, Gene B. Chase

ACMS Conference Proceedings 1985

A selected bibliography of Donald MacCrimmon MacKay, including his written works and biographical sources.

The Significance Of Formally Undecidable Propositions For The Use Of Classical Logic In Theological Arguments, Gordon E. Whitney

ACMS Conference Proceedings 1985

No abstract provided.

Faith And Mathematics - A Different Perspective, James E. Mann, Jr.

ACMS Conference Proceedings 1985

No abstract provided.

Artificial Intelligence? - A Christian Appraisal, Donald M. Mackay

ACMS Conference Proceedings 1985

No abstract provided.

Is Rational Thinking The Best Thinking?, Richard Laatsch

ACMS Conference Proceedings 1985

No abstract provided.

Undergraduate Mathematical Modeling: When And What To Teach, Frank R. Giordano, Maurice D. Weir

ACMS Conference Proceedings 1985

No abstract provided.

Introduction (1985), Robert Brabenec

ACMS Conference Proceedings 1985

A Fifth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec, Wheaton College

Table Of Contents (1985), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1985

A Fifth Conference on Mathematics from a Christian Perspective

Edited by Robert L. Brabenec, Wheaton College

Graduate Bulletin, 1985-1987 (1985), Moorhead State University

Graduate Bulletins (Catalogs)

No abstract provided.

Alternative Concepts Of Geology And Time In Secondary Science Education, Ralph K. Calitri

Critical and Creative Thinking Capstones Collection

This study examines students’ concepts of time and geologic processes and probes for alternative conceptions in these areas which would be of relevance for science education.

High School Faculty Institute For Chemistry Teachers, Babu George

Chemistry & Physics Faculty Publications

The High School Faculty Institute for Chemistry Teachers was established at Sacred Heart University in April 1980 with the long term goal to assist teachers in inspiring students to take up chemistry as a career or to continue studies in chemistry.

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.

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.

Arrogance And Humility In The Philosophy Of Mathematics, James Murdock

ACMS Conference Proceedings 1983

This paper explores the philosophical, sociological, and theological questions related to the field of mathematics and whether or not it is ethical to pursue when its discoveries are used for evil.

An Outline Of A Complementarist Philosophy Of The Sciences, With A Special Reference To Mathematics, Willem Kuyk

ACMS Conference Proceedings 1983

No abstract provided.

A Neuropsychodynamical Theory Of Mathematics Learning, Willem Kuyk

ACMS Conference Proceedings 1983

No abstract provided.

One Possible Outline For A First Undergraduate Course In Philosophy Of Mathematics, Harold Heie

ACMS Conference Proceedings 1983

No abstract provided.

The Role Of Creativity In Mathematics, John M. Dubbey

ACMS Conference Proceedings 1983

No abstract provided.