Teacher Education and Professional Development Commons^™

Abraham Robinson (1918-1974): The Man And The Mathematics, Joseph W. Dauben

ACMS Conference Proceedings 1993

No abstract provided.

Infinity And The Absolute: Insights Into Our World, Our Faith, And Ourselves, Tim Pennings

ACMS Conference Proceedings 1993

No abstract provided.

Devotional Reflections, Jonathan Leech

ACMS Conference Proceedings 1993

No abstract provided.

Georg Cantor And The Battle For Transfinite Set Theory, Joseph Dauben

ACMS Conference Proceedings 1993

Georg Cantor is well known as the founder of transfinite set theory. Equally celebrated, however, are the obstacles he faced in trying to win acceptance for his seemingly unorthodox views, his acrimonious differences with Leopold Kronecker and his unfortunate but progressively debilitating nervous breakdowns that some authors have linked directly to his many problems with set theory. Above all, Cantor's justification of set theory was all the more urgent because of Kronecker's critical denunciation of Cantor's mathematics. In tracing the evolution of Cantorian set theory, it is necessary to examine the opposition it met, and evaluate the technical, philosophical, psychological, …

Table Of Contents (1993), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1993

Paradigm Shifts in the Mathematical Sciences

Schedule (1993), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 1993

Paradigm Shifts in the Mathematical Sciences

Georg Cantor And The Battle For Transfinite Set Theory, Joseph Dauben

ACMS Journal 2004

Georg Cantor is well known as the founder of transfinite set theory. Equally celebrated, however, are the obstacles he faced in trying to win acceptance for his seemingly unorthodox views, his acrimonious differences with Leopold Kronecker and his unfortunate but progressively debilitating nervous breakdowns that some authors have linked directly to his many problems with set theory. Above all, Cantor's justification of set theory was all the more urgent because of Kronecker's critical denunciation of Cantor's mathematics. In tracing the evolution of Cantorian set theory, it is necessary to examine the opposition it met, and evaluate the technical, philosophical, psychological, …

Practice Exercises-For The Georgia Teacher Certification Test In Mathematics, Beverly M. Davis

Theses and Dissertations

Since the Georgia Teacher Testing Program began in 1978, thousands of Georgia teachers and teacher candidates have taken the Georgia Teacher Certification Test (TCT) in mathematics. Although the mathematics test has been found to be valid, reliable, unbiased, and job-related, many test takers fail the test the first time the test is taken and consequently retake the test until a passing score is made or choose not to retake the test.

Multiple choice practice exercises were developed to assist those who are preparing to take this test. These practice exercises are based on objectives, assessment characteristics, and content components outlined …

Teacher Training In Transition, A Commentary On Postgraduate Science Teacher Training In England, Arthur Jennings

Australian Journal of Teacher Education

The radical reforms of recent years have affected all parts of the educational system in England. This paper discusses science teacher education and focuses on changes in teacher training programmes designed to equip teachers for the national curriculum and for work in the climate of greater accountability that now exists. Though the pressure for these changes is domestic it is suggested that the issues are of general significance.

Desired And Achieved Elements In The Science Curriculum, Marilyn L. Hawk

Electronic Theses and Dissertations

The purpose of this study was twofold: Purpose 1 was to determine to what degree the desirable characteristics of a quality science program based upon the national standards as developed by the National Science Teachers Association (NSTA) were actually being achieved as perceived by the public school secondary science teachers and supervisory personnel in Tennessee. Purpose 2 was to determine to what degree the quality components of a good science curriculum based upon the national standards as developed by the National Science Teachers Association (NSTA) were considered to be desirable components of a quality secondary science program by the public …

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.

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

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

Humanistic Mathematics Network Journal

No abstract provided.

Graduate Bulletin, 1991-1993, Moorhead State University

Graduate Bulletins (Catalogs)

No abstract provided.

Calculators In Special Education Mathematics Classes In A Junior High School, Celia M. Hurley

Theses and Dissertations

Very little has been written about the use of calculators by children with exceptional needs, although calculators are already being used by most adults who seldom do any but the simplest calculations by hand (Thorpe, 1988). They use calculators for everything from balancing checkbooks to computing sales tax.

Yet there are teachers and many parents who believe, says Wheatley (1984), that using calculators will lessen the opportunity for students to master basics. They believe that calculators should not be used until children become proficient with paper-and-pencil calculations. Some say that students should become facile in the use of calculators. Still …

Experiences In Gifted Education : Implications For Teaching Strategies For A Clever Country., Lesley Newhouse-Maiden, Malcolm Washbourne

Australian Journal of Teacher Education

In preparation for a workshop at Monash University, where a group of Australian educators were to be involved in writing a book based on their collective wisdom and interest in the fostering of excellence in young people and children in the 1990's, the present writers engaged in a reflective exercise in ascertaining how best to educate our most talented science students. However, in the eventual chapter written by Newhouse et al. (in Goodall and Culhane 1991:70), the theme was related to the concept of empowering a whole school community, 'globally' a far cry from the notion of empowering talented students …

Cooperative Learning On Mathematical Problem Solving: Reflections By A Traditional Teacher And Her Students, Diana Metsisto

Critical and Creative Thinking Capstones Collection

As our society becomes more technologically complex, the educational system preparing our students to become citizens of this society must adapt to met changing demands. Mathematical literacy of the 21st century will require a different model of mathematics education than that which served in the past. This thesis argues for a model of mathematics education which includes as key components: problem solving, question posing, cooperative learning, concrete manipulatives, and teaching for thinking. This new model sets forth guidelines for a facilitative approach to the teaching of mathematics as opposed to the more traditional, authoritative model. This facilitative model is based …

Preparing Teachers To Teach Mathematics Within A Humanistic Perspective, Beatriz S. D'Ambrosio

Humanistic Mathematics Network Journal

No abstract provided.