ACMS Conference Proceedings 1977-2009
Comprehensive Table of Contents

Wheaton College (2009) Introduction Conference Program 17th ACMS Conference Schedule p. 1 Abstracts for Invited Talks p. 3 Abstracts for Contributed Papers p. 5 Contributed Papers A Vision for ACMS p. 7 James Bradley, Calvin College (emeritus) Exploring the Limits of Computing Through Exhaustive Search p. 16 Jeffrey L. Lehman, Huntington University Algebra Investigator p. 25 Al Hibbard, Central College Sage: Math in Your Dorm Room, from Calculus to Research p. 31 Karl-Dieter Crisman, Gordon College Fire! Lessons Learned and Applied to Computer Systems p. 35 Kim P. Kihlstrom, Westmont College Supplemental Vocabulary Acquisition in the Desymbol Logic Translator p. 41 Darren F. Provine and Nancy Lynn Tinkham, Rowan University Monoids for Math Majors p. 45 Brian D. Beasley, Presbyterian College Unwind with Knots p. 50 Catherine Crockett, Point Loma Nazarene University About Furuta's inequality and Aluthge transform on pseudo-Hilbert spaces p. 61 Loredana Ciurdariu, "Polytehnica" University of Timișoara Approximating Sums of Infinite Series p. 74 Kara garrison and Thomas E. Price, The University of Akron A Quick Way to Find Arc Length Between Two Points of the Logarithmic Spiral p. 84 Peter Rothmaler, College of DuPage The Heavens and the Scriptures in the Eyes of Johannes Kepler p. 89 Dale L. McIntyre, Grove City College The Development of Mathematical and Spiritual Maturity in the Undergraduate Mathematics Curriculum p. 105 Angela Hare, Messiah College Arithmetic Sequences, Diophantine Equations and the Number of the Beast p. 115 Bryan Dawson, Union University Professor Peacock’s Symbolical Algebra: Glimpses into the Life and Work of a Mathematical Reformer p. 122 Richard Stout, Gordon College Galileo’s Solution to Dante’s Riddle p. 132 Andrew Simoson, King College Toward a Christian Modal Structuralism p. 140 Walter J. Schultz, Northwestern College Can Critical Thinking be Redeemed p. 150 Jeremy Case, Taylor University History of Mathematics in the Service of School Mathematics Education p. 158 Calvin Jongsma, Dordt College Integrating Dynamic Software into Geometry Courses at Middle School, High School, and College Levels: Ten Lesson Plan and Instruction Materials Units Incorporating Geometer’s Sketchpad p. 161 Jamie Blauw, Lauren Zylstra, and Dave Klanderman, Trinity Christian College Are Mathematical Entities Real? p. 166 Phillip E. Lestmann, Bryan College A Career Preparation Course for Students in Mathematics and Computer Science p. 172 Donna Pierce and Peter A. Tucker, Whitworth University Discussing Vocation as a Part of a Senior Capstone Class p. 183 Maria Zack, Point Loma Nazarene University 2009 ACMS Conference Photograph p. 213 List of Participants p. 192

Messiah College (2007) Introduction p. 3 Conference Program p. 4 Parallel Session Schedule p. 7 Christian Perspective: Mathematics and Computer Science Chaos Theory and Metaphysical (In) Determinism p. 9 Tim Rogalsky, Canadian Mennonite University Integrating Moral and Spiritual Themes in Middle School and High School Mathematics Teaching Units p. 21 Dave Klanderman, Trinity Christian College, and Sean Bird, Convenant Christian High School Portrayals of Mathematicians in Culture p. 26 Jeremy Case, Taylor University Six Ways, Yea Seven, that Scripture is Integral to our Science and Math Classes p. 29 Sean Bird, Covenant Christian High School The God-Fearing Life of Leonhard Euler p. 35 Dale McIntyre, Grove City College Computer Science Connection-Oriented Computer Science Education p. 47 Kim Kihlstrom, Westmont College Integrating Ethics into the Database Course With a Focus on Data Modeling and Normalization p. 61 James F. Glasgow, Malone College Curricular Issues Breathing Life into the Liberal Arts Math Course: Ten Teaching Tips p. 74 Mark Colgan, Taylor University Tanzania, Mathematics, and Me: Reflections from my work with Tanzanian Teachers p. 78 Mandi Maxwell, Trinity Christian College Teach a Course in the Math of Voting and Choice p. 85 Karl-Dieter Crisman, Gordon College Write about Mathematicians in Non-Major Courses p.89 Karl-Dieter Crisman, Gordon College Mathematics Bach (to the Calculus of) Variations p. 92 Charles Hampton, The College of Wooster Counting Tulips: Three Combinatorial Proofs p. 102 Eric Gossett, Bethel University Exploring Loci In Geometry p. 114 Owen Byer and Deidre Smeltzer, Eastern Menonite University Mathematical Knowledge and Liebniz’ Epistemology p. 141 Jonathan Zderad, Northwestern College Optimize Your Math Services Through Networking p. 148 Patrice Conrath, Bethel University Trigonometry Without Sines and Geometry Without Angles p. 150 Phillip Lestmann, Bryan College Mathematics Aesthetics The Beautiful and Sublime in Mathematics p. 162 Paul Zweir, Calvin College Philosophy and Mathematics An Augustinian Perspective on the Philosophy of Mathematics p. 163 James Bradley, Calvin College Modeling Growth in Christian Evangelism p. 173 Marvin Bittinger, Indiana University / Purdue University Rules and Insights: Connecting the Mathematical and Linguistic Abilities of C.S. Lewis p. 183 Kim Jongerius, Northwestern College Vocation and the Ordinary Christian p. 190 Greg Crow and Maria Zack, Point Loma Nazarene University Voltaire: A Study in Finding a Needle in a Haystack p. 204 Andrew Simoson, King College List of Participants p. 211 Conference Photograph p. 213

Huntington University (2005) Introduction p. 7 Conference Program p. 9 Invited Address Nicole Oresme and His Mathematics p. 17 Fernando Q. Gouvêa, Colby College Philosophy and Mathematics Review of John Byle's Book Entitled The Divine Challenge p. 37 Russ Howell, Westmont College Mathematics from a World-View Perspective p. 41 Jonathan Zderad, Northwestern College Does the Success of Mathematics Defeat Naturalism? p. 55 Russell W. Howell, Westmont College Mathematics as Poesis: A Preliminary Project Report p. 63 Sam Stueckle, Trevecca Nazarene University, Troy Riggs, Union University, and Jeremy Case and Ken Constantine, both of Taylor University Jesus, Plato, Math, and Theology p. 71 Paul Moffet, Canadian Mennonite University (student) Christian Perspective and Mathematics and Computer Science Bibliography of Christianity & Mathematics p. 81 Gene B. Chase, Messiah College The Consequences of Believing in an Infinite God p. 89 John Noonan, Mount Vernon Nazarene University Reflections upon the Relationship Between Mathematical and Biblical Truth p. 93 Dale McIntyre, Grove City College Integration of Faith, Learning, and Christian Vocation with First-Year Mathematics Majors p. 99 Doug Phillippy & Angela Hare, both of Messiah College A Christian Constructivist? The Impact of Worldview on Learning Theories and the Mathematics Education Research Community p. 109 Dave Klanderman, Trinity Christian College and Jeffrey Barrett, Illinois State University Call for a Non-Euclidean, Post-Cantorian Theology p. 115 Saburo Matsumoto, The Master's College Blaise Pascal - Mathematician, Mystic, and Disciple p. 137 Tim Rogalski, Canadian Mennonite University Filtering the Bible and Filtering Spam p. 145 Gene B. Chase, Messiah College History of Mathematics Integrating Catholic and Marianist Historical Perspectives in a Mathematics Course for Elementary Education Majors p. 159 Mary Wagner-Krankel, Saint Mary's University Teaching the History of Mathematics Using Architecture and Art p. 173 Maria Zack, Point Loma Nazarene University James Clerk Maxwell and Why Read Biographies p. 179 Sean Bird, Covenant Christian High School VI.31: A Generalization of the Pythagorean Theorem p. 193 Tim Sipka, Alma College Mathematics Determinants and Zero Divisors in Rings of Matrices p. 199 Gary Raduns, Roberts Wesleyan College Visualizing the Fourth Dimension p. 205 Steven Lay, Lee University The Artificial Gravity Pitch p. 217 Andrew Simoson, King College Explicit Null Space of the Discrete Laplacian p. 229 Hanna VanderZee, University of Illinois - UC The Other Side of the Equation: De-simplification, a Prerequisite for Calculus p. 237 Stephen Brown, Olivet Nazarene University Computer Science The Five Orders of Ignorance: Knowledge, Ignorance, and the Nature of Software p. 243 Phil Armour, Corvus International inc/Number Six Software Asserting CS != Can't Socialize: Building Community in a Computer Science Program p. 249 Kim Kihlstrom, Westmont College Object Information Repository in Christian Theory of Technology p. 259 Longy O. Anyanwu, Trinity Christian College Artificial Intelligence: Can we Create Machines in Our Own Image? p. 271 Derek Schuurman, Redeemer University College Technology and Formation: How Does Computing Shape Us? p. 277 Cary G. Gray, Wheaton College Curricular Issues A Christian Perspective for a First Course in Calculus p. 285 Darrell E. Allgaier, Grove City College Writing math lessons that integrate Christian beliefs: The Kuyers Institute Grant Project p. 289 Dave Klanderman, Trinity Christian College, & Gary Talsma, Calvin College List of Participants p. 295 Conference Photograph p. 299

Point Loma Nazarene University University (2003) Introduction, p. 5 Conference Program p. 7 Invited Address Light Meals and Morsels from Mathematics Magazine p. 10 Paul Zorn, St. Olaf College Christian Perspectives Making Connections: Using Analogies to Enrich Understanding of Mathematical Ideas and Biblical Truths p. 17 Ron Benbow, Taylor University A Christian Perspective on Mathematics - History of Mathematics and Study Guides p. 27 Johan H. de Klerk, Potchefstroom University General-Education Mathematics Course from a Christian Perspective p. 34 Saburo Matsumoto, The Master's College Mathematics, Science, and George MacDonald p. 46 David L. Neuhouser, Taylor University The Inverse Problem: Christianity through a Mathematical Lens p. 59 Sharon K. Robbert, Trinity Christian College Non-Random Equidistant Letter Sequence Extensions in Ezekiel p. 69 Richard E. Sherman, Consulting Actuary and Nathan Jacob, Bar-llan University Mathematics and the Love of God: An Introduction to the thought of Simone Weil p. 89 Scott Taylor, UCSB Creationism - A Viable Philosophy of Mathematics p. 98 Jonathan Zderad, Northwestern College Talks in Computer Science A Christian Appraisal of Stephen Wolfram's A New Kind of Science p. 110 Gene B. Chase, Messiah College Artificial Service vs. Artificial Servants p. 120 Wayne Iba, Westmont College Men Are From The Server Side, Women Are From The Client Side - A Biblical Perspective On Men, Women and Computer Science p. 126 Kim Potter Kihlstrom, Westmont College Mathematical Gems Linear Regression as a 1-Variable Optimization Exercise p. 138 Ken Constantine, Taylor University A Pseudo-History of Number Systems (or The Way Mathematicians Wish the Number Systems Had Been Invented Because It Makes a More Cohesive Story) p. 142 Richard Laatsch, Miami University (RT) Some Fibonacci Gems p. 143 Peter Rothmaler, College of DuPage Talks in Mathematics Mathematical Models and Reality p. 146 John Byl, Trinity Western University What is Random Event? A Project for Finite Math or Statistics p. 162 Jeremy Case, Taylor University The Search for the Real Josephus Problem p. 66 Eric Gossett, Bethel College Slippery Order: Mathematical Alternatives to Blind Chance and Necessity p. 173 Troy Riggs, Union University A Greater Tantalizer p. 178 Andrew Simoson, King College Talks in Mathematics Education Learning To Construct Proofs In A First Course On Mathematical Proof p. 188 Peter R. Atwood, Cornerstone University Exploiting the Confidence Interval-Hypothesis Test Equivalence in Basic Statistics Classes p. 197 Ken Constantine, Eastern Nazarene College Integrating Laptops into a Mathematics Curriculum p. 201 Dr. Mary Wagner-Krankel, St. Mary's University Saturday Sermon Text SOS Checks and Career Management p. 206 Russell W. Howell, Westmont College List of Participants p. 211

Calvin College (2001) Introduction, p.3 Conference Program, p.5 Invited Address Why Natural Selection Can't Design Anything, p.9 William Dembski, Baylor University and the Discovery Institute Christian Perspective on Mathematics Theism and Mathematical Realism, p.33 John Byl, Trinity Western University Mathematics as Worship, p.49 David Stucki, Otterbein College Integration of a Christian Perspective in the Mathematical Sciences, p.57 Johan de Klerk, Potechefstroom University What Mathematical Paradoxes Teach Us About Paradoxes in Christianity, p.67 Paul Bialek, Trinity International University Parables for Mathematicians: (with Good News for Curved Beings), p.73 Ashley Reiter Ahlin, University of Chicago Mathematics Memory Verses: Weekly Devotionals for Math Class, p.79 Mark Colgan, Taylor University Talks from Teaching Experiences Three Problems from Number Theory, p.83 Robert Brabenec, Wheaton College Mathematics Study Abroad Trips, p.91 Maria Zack, Point Loma Nazarene University Talks with a Mathematical Focus Gravitational Acceleration in Hades, p.97 Andrew Simoson, King College On Periodic Points of Maps of Trees and the Expansive Property, p.109 Fred Worth, Henderson State University The Soviet Concept of Correlation of Force, p.115 James Bradley, Calvin College A Paper from Computer Science ThML: Theological Markup Language for the Christian Classics Ethereal, p.123 Library, Harry Plantinga, Calvin College Abstracts of Other Talks, page 139 List of Participants, page 144

Gordon College (1999) INTRODUCTION CONFERENCE PROGRAM ABSTRACTS OF INVITED PAPERS "Euler's Sums and Euler's Crumbs", p.1 William Dunham, Muhlenberg College "The Calvin Center Writing Project", p.3 PAPERS WITH A PHILOSOPHICAL EMPHASIS "The Deconstruction of Mathematics", p.7 David Stucki, Otterbein College "Determinism, Chaos, and the Meaning of Randomness, or Quantum Theory and the Sovereignty of God", p.22 John Wicks, North Park University PAPERS WITH A CHRISTIAN EMPHASIS "Willing the Will of God", p.42 Harold Heie, Center for Christian Studies "Can Mathematics Be Taught in a Christian Way?", p.59 Johan H. de Klerk, Potchefstroom University "Lewis Carroll: Author, Mathematician, and Christian", p.64 David L. Neuhouser, Taylor University, page 64 PAPERS ON MATHEMATICAL TOPICS "Hyperbolic Geometry and Poincare's Half-Plane Model", p.81 Robert Frank, Seton Hill College "Using Mathematica to Explore Abstract Algebra", p.96 Al Hibbard, Central College "Noncommutative Algebraic Geometry", p.111 Dennis Keller, University of Michigan "Tracking the Trochoid on Safari", p.115 Andrew Simoson, King College "On the Solutions of a Family of Sextic Thue Equations", p.129 Alain Togbe, Greenville College REPORTS ON SOME EXPERIENCES "A Mathematician at the Science and Theology Book Club", p.138 Greg Crow, Point Loma Nazarene University "Doubt and Certainty-A Book and Idea Review", p.141 Richard Laatsch, Miami University (Ohio) "Teaching Linear Algebra and Abstract Algebra With Two Way Video and Audio", p.146 Edward Reinke, Concordia University (Nebraska), page 146 BOOK REVIEWS "Fashionable Nonsense: Postmodern Intellectuals' Abuse of Science", p.148 Alan Sokal and Jean Bricmont reviewed by David J. Stucki, Otterbein College "An Imaginary Tale: The Story of ?-1", p.149 Paul J. Nahin reviewed by Michael O'Leary, Concordia University (Illinois) "Revolutions in Mathematics", p.150 edited by Donald Gillies reviewed by Kevin Vander Meulen, Redeemer College "The Man Who Loves Only Numbers: The Story of Paul Ernos and the Search for Mathematical Truth", p.151 Paul Hoffman reviewed by Maria Zack, Point Loma Nazarene University "The Language of Mathematics: Making the Invisible Visible", p.153 Keith Devlin reviewed by Charles Hampton, The College of Wooster "Virtual Gods: The Seduction of Power and Pleasure in Cyberspace", p.155 edited by Tal Brooke reviewed by Jonathan R. Senning, Gordon College "The Number Sense: How the Mind Creates Mathematics", p.157 Stanislas DeHaene reviewed by Mary Vanderschoot, Concordia College (Minnesota) "Math: Facing an American Phobia", p.159 Marilyn Burns reviewed by Stephen L. Brown, Olivet Nazarene University "The Philosophy of Mathematics", p.166 W.S. Anglin reviewed by Richard D. Rockwell, Pacific Union College LIST OF CONFERENCE DELEGATES, p.167 CONFERENCE PHOTOGRAPH, p.171

Wheaton College (1997) INTRODUCTION CONFERENCE SCHEDULE INVITED PAPERS "Circles of the Gods: Copernicus, Kepler, and the Ellipse", p.1 Owen Gingerich, Smithsonian Astrophysical Observatory and Harvard University "Hypothesis, Proof, and Censorship or How Galileo Changed the Rules of Science", p.7 Owen Gingerich, Smithsonian Astrophysical Observatory and Harvard University PAPERS ON TEACHING "A Tale of Two Transitions", p.17 David Klanderman, Trinity Christian College, Sharon Robbert, Trinity Christian College, and Robert Wheeler, Northern Illinois University "An Investigation of the Behavior of Calculus Students Working Collaboratively in an Interactive Software Environment", p.31 Angela Hare, Messiah College "Teaching Generalization and Reduction through an Elementary Probability Problem" , p.51 Erlan Wheeler, Carthage College PAPERS WITH AN INTEGRATIVE THEME "The Mathematical Sciences and the Mediator of Creation", p.56 W. David Laverell, Calvin College "The Role of Mathematics in Culture", p.66 W. James Bradley, Calvin College "Mathematics and Values: Can Philosophy Guide Projects?", p.76 Michael H. Veatch, Gordon College "Solomon's Sea and the Biblical II", p.91 Andrew Simoson, King College "Mathematics at Chartres Cathedral", p.100 Richard Stout, Gordon College PAPERS OF A TECHNICAL NATURE "Fractal Geometry and Chaos Theory: From Old Problems to New Models and Methods", p.105 Terence Perciante, Wheaton College "Hyperbolic Geometry with the Geometer's Sketchpad", p.116 Robert Frank, Seton Hill College "On Binary Quadratic Forms", p.135 Alain Togbe, University Laval (Quebec) "Digital Filtering and Smoothing", p.146 Eric Gossett, Bethel College "Exploring Various Methods of Interpolation", p.163 Mark Roberts, Southwest Baptist University "Using Java and HTML for Linear Algebra Instruction", p.177 Jonathan R. Senning, Gordon College, page 177 PAPERS WITH AN HISTORICAL THEME "History and Current Situation of the Russian Church", p.185 Gennadiy A. Kalyabin, Samara State Aerospace University "First Draft of the History of ACMS", p.196 Robert Brabenec, Wheaton College LIST OF CONFERENCE DELEGATES, p.201 CONFERENCE PHOTOGRAPHS, p.205

Taylor University (1995) INTRODUCTION CONFERENCE SCHEDULE INVITED PAPERS "Statistics, Mathematics, and Teaching", p.1 David S. Moore, Purdue University "Improving the Teaching of Mathematics", p.20 David S. Moore, Purdue University PAPERS ON MATHEMATICS "A Course in Mathematical Recreations", p.33 Richard Laatsch, Miami University "On the Miracle of the Multiplication of the Loaves and Fishes", p.40 Andrew Simoson, King College "Experimenting with the Calculus Laboratory Setting", p.50 Glen Van Brummelen, The King's University College "The Intermediate Value Theorem", p.59 Dale Varberg, Hamline University PAPERS ON COMPUTER SCIENCE "What Does a Computer Program Mean?", p.64 Gene Chase, Messiah College "Parallel Processing in the Undergraduate Curriculum", p.93 Bill Toll, Taylor University PAPERS ON STATISTICS "From Data to Develop Mathematical Models", p.97 Philip Carlson, University of Minnesota "Drawing the Boundaries: Mathematical Statistics in Twentieth Century America", p.108 Patti Hunter, University of Virginia PAPERS ON CHRISTIANITY AND EDUCATION "Mathematics and Theological Beliefs: A Cognitive Science Perspective", p.118 Ron Benbow, Taylor University "Constructivism, Mathematics Education, and Christianity", p.131 Tad Watanabe, Towson State University PAPERS ON THE HISTORY OF MATHEMATICS "Katz's Book", p.143 Bill Anglin, McGill University "The 25 Greatest Mathematicians", p.164 Robert Brabenec, Wheaton College "Mathematics from the Viewpoint of Science in Context", p.175 Johan DeKlerk, Potchefstroom University LIST OF CONFERENCE DELEGATES, p.183 CONFERENCE PHOTOGRAPH, p.187

Westmont College (1993) INTRODUCTION CONFERENCE SCHEDULE ABSTRACTS INVITED PAPERS "Georg Cantor and the Battle for Transfinite Set Theory", p.1 Joseph W. Dauben, CUNY "Abraham Robinson (1918-1974): The Man and His Mathematics", p.23 Joseph W. Dauben, CUNY CONTRIBUTED PAPERS--TECHNICAL "Knuth's (1, 2, 1) Unstacking", p.57 Paul Zwier, Calvin College "Using MATLAB and Mathematica in Numerical Analysis", p.67 John Mathews, Cal State Fullerton "Using Maple to Teach Calculus", p.81 Ken Rietz, Asbury College CONTRIBUTED PAPERS--GENERAL "A Conjectured Paradigm Shift in 21st Century Mathematics Pedagogy", p.85 Paul Isihara, Wheaton College "Infinity and the Absolute", p.91 Tim Pennings, Hope College "Devotional Reflections", p.103 Jonathan Leech, Westmont College "A New Look at an Old 3:16", p.107 Russell Howell, Westmont College LIST OF DELEGATES, p.111 CONFERENCE PHOTOGRAPH

Wheaton College (1991) INTRODUCTION CONFERENCE SCHEDULE INVITED PAPERS Introduction, p.1 "The Rigorous and the Natural in Eighteenth Century Mathematics", p.3 Joan Richards, Brown University "Mathematical and Religious Knowledge in Nineteenth Century England", p.23 Joan Richards, Brown University "Cantor's Concept of Infinity", p.61 Bruce Hedman, Univ. of Connecticut at Hartford CONTRIBUTED PAPERS--TECHNICAL "Using Mathematica to Teach Calculus", p.79 Russell Howell, Westmont College "Real Number Representations and the Distribution of Following Segments", p.90 Ray Rosentrater, Westmont College "Revising the Argument from Design", p.101 William Dembski, Northwestern University CONTRIBUTED PAPERS--GENERAL "Discrete Mathematics Versus Calculus", p.146 Marvin Johnson, College of Lake County "A Tale of Two Mathematicians--Fourier and Cantor", p.154 Robert Brabenec, Wheaton College "C.S. Lewis, George MacDonald and Mathematics", p.167 David Neuhouser, Taylor University "Can Mathematical Methods Yield Theological Truth?", p.176 Jan de Koning, University of Toronto "How Has Christian Theology Furthered Mathematics?", p.191 Gene Chase, Messiah College LIST OF DELEGATES, p.209 CONFERENCE PHOTOGRAPH BOARD MEMBERS PHOTOGRAPH

Messiah College (1989) INTRODUCTION, p.1 SCHEDULE, p.2 MAIN ADDRESS "The Fourth Dimension and the Theology of Edwin Abbott Abbott", p.3 Thomas F. Banchoff BIBLIOGRAPHIES Thomas Francis Banchoff, p.11 Edwin Abbott Abbott, p.13 CHRISTIANITY AND MATHEMATICS "Luzin & Florensky: Mathematician and Theologian in 20th Century Russia", p.16 Charles Ford "Newton and Saccheri: Case Studies of the Interplay of Mathematics and Religion", p.26 Tommy Leavelle "St. Augustine's Mathematical Realism", p.38 Paul Zwier "Beauty in Mathematics: Some Theological Implications", p.57 David Neuhouser "Teaching a Seminar on Mathematics and the Christian Faith", p.64 David Lavarell & Carl Sinke "Mathematics between the Lines of Ecclesiastes", p.71 Donald Josephson MATHEMATICS "The Bisexual Galton-Watson Branching Process", p.89 David M. Hull "Simulated Annealing on NP-Complete Problems", p.104 Russell Howell COMPUTER SCIENCE "Tutorial on Prolog", p.124 Russell C. Bjork MATHEMATICS EDUCATION "Mathematical Modeling", p.145 Jefferson Hartzler "Written Assignments in College Freshman and Sophomore Mathematics Courses", p.153 Jean Alliman "Writing Across the Curriculum Using Statistics", p.156 Carlos A. Pereria "Using Writing in the Mathematics Classroom", p.159 Barbara Rose PICTURED: All attendees, p.175 LIST OF ATTENDEES, page 177 PHOTOS Edwin Abbott Abbott Thomas F. Banchoff Executive Committee of the ACMS

Calvin College (1987) PREFACE, p.1 MAIN ADDRESS "3:16--An Approach to Bible Study", p.3 Donald E. Knuth, Stanford University PHILOSOPHICAL PAPERS "A Philosophical Analysis of Formalism", p.27 Michael Detlefsen, Notre Dame University "An Activist Model of the Metaphysics of Mathematics", p.55 Christopher Menzel, Texas A&M University "Observations on Mathematics and the Christian Faith", p.73 David Laverell and Carl Sinke, Calvin College MATHEMATICAL PAPERS "Conic Sections in lp", p.87 Richard Laatsch, Miami University of Ohio "Riesz Spaces and Their Applications in Economics", p.97 Calvin Piston, John Brown University "Another Look at Pick's Theorem", p.109 Dale Varberg, Hamline University GENERAL PAPERS AND PRESENTATIONS "Mathematical Reflections: Standing on the Shoulders of Giants", p.119 Karl J. Smith, Santa Rosa Junior College "Logic and Proof for Mathematicians: A Twentieth Century Prospective", p.135 Calvin Jungsma, Dordt College "Computer Science in Liberal Arts Colleges", p.145 James Bradley, Calvin College "The Role of Computer Science in a Liberal Arts College", p.149 Russell C. Bjork, Gordon College "Variations on a Theme", p.155 R. Creighton Buck, University of Wisconsin LIST OF CONFERENCE DELEGATES

King's College (1985) PREFACE, p.1 MAIN ADDRESS "Artificial Intelligence?--A Christian Appraisal", p.3 Donald M. MacKay University of Keele, England "Selected Bibliography of Donald M. MacKay", p.31 compiled by Gene B. Chase OTHER PAPERS "On Universal Tests for the Truth of World Views: Their Existence and Identifiability", p.35 William Buttelmann and Paul Feinberg "Is Rational Thinking The Best Thinking?", p.53 Richard Laatsch "Faith and Mathematics--A Different Perspective", p.59 James Mann "The Significance of Formally Undecideable Propositions for the Use of Classical Logic in Theological Arguments", p.65 Gordon E. Whitney "Undergraduate Mathematical Modeling: When and What to Teach", p.71 Frank Giordano and Maurice Weir "Panel on Computer Science Accreditation", p.77 CONSTITUTION AND BYLAWS OF ACMS, p.79 LIST OF CONFERENCE DELEGATES, p.83

Wheaton College (1983) PREFACE, p.1 MAIN ADDRESSES "A Neuropsychodynamical Theory of Mathematics Learning", p.3 Willem Kuyk, University of Antwerp "An Outline of a Complementarist Philosophy of the Sciences, with a Special Reference to Mathematics", p.19 Willem Kuyk, University of Antwerp OTHER PAPERS "The Activity and Application of Mathematics", p.37 R.S.D. Thomas, University of Manitoba "Arrogance and Humility in the Philosophy of Mathematics", p.49 James Murdock, Iowa State University "A Comparative Study of Christian Mathematical Realism and its Humanistic Alternatives", p.75 Paul Zwier, Calvin College DISCUSSION GROUPS SUMMARIES "Using Mathematical Concepts to Illustrate Scriptural and Spiritual Ideas", p.87 Robert L. Brabenec, Wheaton College "The Role of Creativity in Mathematics", p.91 John M. Dubbey, Polytechnic of the South Bank, London "One Possible Outline for a First Undergraduate Course in Philosophy of Mathematics", p.97 Harold Heie, Northwestern College, Iowa "Discussion on Morris Kline's book Mathematics: The Loss of Certainty", p.119 Calvin Jongsma, Dordt College LIST OF CONFERENCE DELEGATES, p.121

Wheaton College (1981) PREFACE, page 1 MAIN ADDRESSES "Science as Allegory", p.3 Vern Poythress Response, p.25 Paul deVries "Mathematics as Rhyme", p.29 Vern Poythress Response, p.43 Paul Zwier OTHER PAPERS "Mathematics: Freedom Within Bounds", p.47 Harold Heie "An Integration of Integrations of Christianity and Mathematics" - A Response to Harold Heie, p.79 Gene Chase "Random Variables and a Sovereign God", p.91 Lloyd Montzingo "Reality and Imagination in Mathematics and Religion", p.99 David Neuhouser DISCUSSION GROUP SUMMARIES "Theology and the Philosophy of Mathematics", p.113 Russell Benson "Communicating Spiritual Insights in Mathematics Classes", p.119 Verbal Snook "Teaching Mathematics Distinctively", p.123 Paul Zwier "Probabilistic Ways of Thinking", p.133 Garnet Hauger "Some Contributions of Stanley Jaki to an Understanding of Mathematics", p.139 Paul deVries "Introduction to Computer Science", p.145 Millard Niver "Microcomputers in Mathematics and Science Courses", p.149 Carlos Pereira "The Development of Algebraic Structures During the Nineteenth Century", p.153 Richard Stout BIBLIOGRAPHY OF CHRISTIANITY AND MATHEMATICS, p.159 DIRECTORY OF NAMES, p.171

Wheaton College (1979) PREFACE, p.1 MAIN ADDRESSES "Axiomatic Structure and the Method of Analysis: Shifting Styles in the History of Mathematics", p.3 Calvin Jongsma "Two Philosophical Problems about Mathematics", p.29 Dr. Stephen Barker PAPERS FROM DISCUSSION GROUPS "Non-Standard Calculus", p.41 Dr. Ron Friewald "Implications of Recent Developments in Philosophy of Science for an Axiological Approach to Foundations of Mathematics", p.61 Dr. Harold Heie "Intuitionism", p.69 Dr. Terence Perciante "On Kuyk's Complementarity in Mathematics", p.75 Dr. Gene Chase "Are Mathematical Objects Ontologically Real?", p.79 Dr. Frank Bernhart PANEL DISCUSSION ON RELATION OF MATHEMATICS AND CHRISTIANITY Brief position paper, p.89 C. Ralph Verno Copies of 2 articles from Torch and Trumpet, p.91 C. Ralph Verno "Mathematics and Christian Faith--Some Personal Perceptions", p.99 Richard Laatsch PAPERS ON TEACHING "Making Curriculum Decisions and the Nature of Mathematics", p.105 Dr. Paul Zwier "Logic in the Mathematics Curriculum", p.117 Dr. Nigel Cutland "Math and Society: An Introduction to Mathematical Thought", p.121 Dr. Verbal Snook "Computer Usage in the College Curriculum", p.139 Dick Wood ANNOTATED BIBLIOGRAPHY PROJECT, p.145 DIRECTORY OF NAMES, p.147

Wheaton College (1977) INTRODUCTION, p.1 "The Historical Shaping of the Foundations of Mathematics", p.3 Robert Brabenec, Wheaton College SESSION 1: TWENTIETH CENTURY ISSUES "Recent Problems in the Foundations of Mathematics", p.15 Terence H. Perciante, Wheaton College "Recent Parallels Between the Philosophy of Science and Mathematics", p.27 Joseph Spradley, Wheaton College "Wanted: Christian Perspectives in the Philosophy of Mathematics", p.39 Arthur F. Holmes, Wheaton College SESSION 2: THE NATURE OF MATHEMATICAL TRUTH "Of Men, Models, and Mathematics", p.49 Charles Hatfield, University of Missouri at Rolla "Formalizing the Liar Paradox", p.63 Frank Meyer, Bethel College, St. Paul, Minnesota "Skolem's Paradox and the Predestination/Free-Will Discussion", p.75 Gene B. Chase, Messiah College SESSION 3: THE EXISTENCE OF MATHEMATICAL OBJECTS "Epistemology to Ontology", p.83 Charles R. Hampton, The College of Wooster "Existence in Mathematics", p.89 Willis Alberda, Dordt College "A Brief Introduction to Godel's Theorems", p.95 Michael Detlefsen, University of Minnesota--Duluth "Current Work on Mathematical Truth", p.109 Michael Detlefsen, University of Minnesota--Duluth SESSION 4: THE CONCEPT OF THE INFINITE "God: All Sufficient or Infinite", p.121 Thomas E. Iverson, Central College "Infinity & Reality", p.127 John W. Warner, The College of Wooster SESSION 5: APPLICATION TO TEACHING "Getting Their Interest--Initiating Students Into The Study of Foundational Issues in Mathematics", p.141 Harold Heie, Gordon College "The Foundations of Mathematics and the Mathematics Curriculum", p.151 Bayard Baylis, The King's College "A Christian Point of View", p.161 A. Wayne Roberts, Macalester College VITA OF SPEAKERS, p. 169 DIRECTORY OF INTERESTED INDIVIDUALS, p. 173