Science and Mathematics Education Commons^™

A Sabbatical Experience: Nurturing A Partnership, R. Michael Krach

Humanistic Mathematics Network Journal

No abstract provided.

Learning To Construct Proofs In A First Course On Mathematical Proof, Peter R. Atwood

Dissertations

This study examined the conceptions o f proof that undergraduate students have upon entry to a transition course on mathematical proof how they develop skill in planning and reporting proofs, obstacles encountered, and effects of instruction on their performance in solidifying schema in proof-planning and proof-reporting.

The subjects were sophomores and juniors (n=16) in a transition course at a large midwestern university. The course was taught by one o f the co-authors o f the text, "Mathematical Proofs" (Chartrand, Polimeni, and Zhang, 1999, in press). Assessment of learning to construct proofs was through quizzes and a final exam developed by …

How Many Blocks To The Empire State Building? : An Original Story, Enakshi Bose

Graduate Student Independent Studies

Presents a children's story for eight and nine year old children that poses several mathematical questions, including the central one of how many blocks it is from the 215th Street subway station in Inwood to the Empire State Building. Photographs and maps enhance the mathematical concepts involved. Discusses the developmental appropriateness of the book's content and how the material meets various standards in mathematics.

The Challenge: The Newsletter Of The Center For Gifted Studies (No. 7,Summer 2001), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

Evolution Of A Scientific Meeting: Eighty Annual Meetings Of The American Society Of Mammalogists, 1919-2000, Hugh H. Genoways, Patricia W. Freeman

University of Nebraska State Museum: Mammalogy Papers

The American Society of Mammalogists has held 80 annual meetings between 1919 and 2000. These meetings have been held in 32 U.S. states, the District of Columbia, Canada, and Mexico. At least 86 people have served as the chair or co-chair of the Local Committee planning the meetings. The number of technical presentations has grown from a low of 17 in 1921 to 340 in 1994. Symposia were an early feature of annual meetings but did not become a regular feature until 1971. Poster presentations were introduced in 1979 and reached a high of 195 posters at the 1994 annual …

Succeed-Sponsored Freshman Year Engineering Curriculum Improvements At Nc State: A Longitudinal Study Of Retention, Matthew W. Ohland, Sarah A. Rajala, Timothy J. Anderson

Sarah A. Rajala

NC State’s involvement in the NSF-sponsored SUCCEED Coalition has led to a number of changes to the freshman year of the engineering curriculum as reported previously (e.g., ASEE 1999, Porter, et al.). An explicit objective of these changes was to retain in engineering those students who were qualified and interested in engineering, but were leaving engineering for other reasons. While a number of isolated innovations have been studied and have demonstrated positive benefit, this study looks at each freshman cohort from 1987 through 1998 to evaluate changes in retention in engineering during that period. Eleven cohorts were studied; five (1987- …

Ec2000 Criterion 2: A Procedure For Creating, Assessing, And Documenting Program Educational Objectives, Michael Carter, Sarah A. Rajala, Rebecca Brent

Sarah A. Rajala

Criterion 2 [Program Educational Objectives (PEO)] is arguably the most important part of ABET EC2000. PEO embody the broad vision for an engineering program that drives the overall accreditation process. They also provide a crucial nexus point for the assessment of each program, the point at which the programmatic issues of the other EC2000 criteria—curriculum, faculty, facilities, etc.—are considered within the larger context of the needs of key constituencies of the program and the mission of the institution. Criterion 2 plays an essential role in EC2000's goal of encouraging continuous improvement in engineering programs and of providing the opportunity for …

Mathematics Memory Verses: Weekly Devotionals For Math Class, Mark Colgan

ACMS Conference Proceedings 2001

Each Monday during the semester I start class with a short devotional on a verse that relates in some way to mathematics. After three weeks I choose one of the three at random for students to write out on their quiz for a possible bonus point. This encourages students to practice memorizing Scripture and it gives us the opportunity to discuss biblical principles that relate to some of the topics we are studying in the course.

I would like to share some of the Bible verses and weekly devotionals I have used in my mathematics classes. These can be organized …

Parables For Mathematicians: With Good News For Curved Beings, Ashley Reiter Ahlin

ACMS Conference Proceedings 2001

Because we often lack the language for talking about such deep matters, the things of God can be hard to understand or talk about. The things that we do see and know were made by the same God of whom we speak. Thus, they are reflections of His nature, purposes, and ways and can help us to think and take about Him. This presentation expresses a parable using the language of math.

Three Problems From Number Theory, Robert Brabenec

ACMS Conference Proceedings 2001

This paper discusses the experiences of Wheaton College mathematics and computer science department colloquium as they explored open-ended problems.

Theism & Mathematical Realism, John Byl

ACMS Conference Proceedings 2001

This paper examines connections between theism and mathematical realism. Mathematical realism, which offers the best account of mathematics, strongly supports theism. Theism, in turn, supports mathematical realism. Theism readily explains the intricate relations between mathematics, matter, and mind. The attributes of the biblical God provide justification for classical mathematics.

What Mathematical Paradoxes Teach Us About Paradoxes In Christianity, Paul Bialek

ACMS Conference Proceedings 2001

In Christian academic circles, we talk about the integration of our faith and learning. That is, we seek to discover and develop connections between our Christian faith and our particular discipline. This is notoriously difficult when the discipline is mathematics. I have found that asking myself these three questions has helped me to integrate my Christian faith with mathematics, although they could be applied to any discipline: (1) How does the fact that I am a Christian affect the way I view mathematics? (2) How does the fact that I am a mathematician affect the way I view Christianity? (3) …

Why Natural Selection Can't Design Anything, William A. Dembski

ACMS Conference Proceedings 2001

In The Fifth Miracle Paul Davies suggests that any laws capable of explaining the origin of life must be radically different from scientific laws known to date? The problem, as he sees it, with currently known scientific laws, like the laws of chemistry and physics, is that they cannot explain the key feature of life that needs to be explained. That feature is specified complexity. Life is both complex and specified. The basic institution here is straightforward. Davies rightly notes, laws (that is, necessities of nature) can explain specification but not complexity. Once life (or more generally some self-replicator) …

The Soviet Concept Of The Correlation Of Forces, James Bradley

ACMS Conference Proceedings 2001

This paper takes a look at the Soviet Union’s accumulation of nuclear weapons during the Cold War and what mathematical strategy they employed to make their choices.

Mathematics As Worship, David J. Stucki

ACMS Conference Proceedings 2001

In keeping with the mission of this organization to explore the relationship of faith to our discipline, I would like to take this opportunity to investigate the relationship, if any, between mathematics and worship. There have been throughout history, at least since Pythagoras, connections made between the mathematical and the theological. Many of these such efforts have followed the Pythagorean cult in deifying number, thus making mathematics the object of worship. Othes have effectively situated theology in subservience to mathematical reason. However, these are not the only alternatives.

Once we admit the possibility of a connection between mathematics and theology, …

On Periodic Points On Maps Of Trees And The Expansive Property, Fred Worth

ACMS Conference Proceedings 2001

In this paper, we consider the expansive property (A homeomorphism, f, of a metric space, X, onto itself is called expansive if there is a positive number, ε, such that if x and y are distinct points of X, then there exists an integer, n = n(x,y), such that d(f n(x), f n(y)) > ε. It should be noted that n may be negative.) and how it relates to shift homeomorphisms of a tree with a single, surjective bonding map. We also consider some results regarding the periodicity of points in self-maps of trees.

Thml: Theological Markup Language For The Christian Classics Ethereal Library, Harry Plantinga

ACMS Conference Proceedings 2001

This document describes the Theological Markup Language (ThML), an XML markup language for theological texts. ThML was developed for use in the Christian Classics Ethereal Library (CCEL), but it is hoped that the language will serve as a royalty-free format for theological texts in other applications. Key design goals are that the language should be (1) rich enough to represent information needed for digital libraries and for theological study involving multiple, related texts, including cross-reference, synchronization, indexing, and scripture references, (2) based on XML and usable with World Wide Web tools, (3) automatically convertible to other common formats, and (4) …

Gravitational Acceleration In Hades, Andrew Simoson

ACMS Conference Proceedings 2001

Does acceleration due to gravity increase or decrease upon descending from Earth’s surface? The answer—as we show—depends on one’s model for Earth’s density. For our Earth, gravity increases before it collapses to zero at Earth center.

Introduction (2001), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2001

Thirteenth ACMS Conference on Mathematics from a Christian Perspective

Schedule (2001), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2001

Thirteenth ACMS Conference on Mathematics from a Christian Perspective

Table Of Contents (2001), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2001

Thirteenth ACMS Conference on Mathematics from a Christian Perspective

Geometry In Action: A Curriculum Unit Utilizing Dynamic Geometry Software To Enhance Students’ Comprehension, Cynthia A. Mignini

Critical and Creative Thinking Capstones Collection

The paper identifies two critical obstacles to student success in a traditional geometry classroom and examines the role dynamic geometry software can play in overcoming these obstacles.

A Geometry Course For Prospective Secondary School Teachers, Jeff Connor, Barbara Grover

Humanistic Mathematics Network Journal

No abstract provided.

The Need To Diversify The Ranks Of Teachers Of Mathematics, Frederick L. Uy

Humanistic Mathematics Network Journal

This paper intends to give rationales for the need to diversify the ranks of teachers of mathematics. It also suggests ideas that we can take to alleviate the situation that we currently are confronting.

Problems In Which Given Information Is Ignored, Howard Wachtel

Humanistic Mathematics Network Journal

A set of problems is presented and discussed for which there is a tendency for students to ignore part of the given information in the problem and to substitute some extraneous assumptions. Typical student reactions are also discussed.

Educating The Public About School Mathematics, Zalman Usiskin

Humanistic Mathematics Network Journal

No abstract provided.

Book Review: The Teaching Gap By James W. Stigler And James Hiebert, Michael L. Brown

Humanistic Mathematics Network Journal

No abstract provided.

Students And Their Learning From Reading, Chris Fenwick

Humanistic Mathematics Network Journal

My aim in this article is to summarize work I have done over the last three years, focusing on the issue of helping students learn from whatever mathematics text they read. Although these types of texts generally contain 3 modes of communication, namely technical English, the language of mathematics itself and diagrams, I will focus this article only on the technical English of such texts. The idea, then, that students can develop techniques and strategies for learning from what they read is generally known as “reading to learn.”

Book Reviews, Lennie Barblett, Tony Fetherston

Australian Journal of Teacher Education

Briggs, F. & McVeity, M. (2000) Teaching Young Children to Protect Themselves. Sydney:NSW: Allen & Unwin.

Robbins. B. (2000). Inclusive mathematics 5-11. London: Continuum.

Program Abstracts, 113th Session, Iowa Academy Of Science, April 20-21, 2001, Iowa Academy Of Science

Iowa Academy of Science Documents

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