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Susan Addington is an associate professor of mathematics at California State University, San Bernardino. Her interests include geometry and algebra, the use of computers for mathematical visualization and communication, and math education. Addington is involved in enriching the mathematical education of elementary and middle school students, teachers, and parents through several projects, including The California Math Show, a traveling hands-on exhibit on the idea of symmetry. To reach her, phone (909) 880 5362, fax (909) 880-7119, email, or check her World Wide Web home page

Richard Allen is professor of computer science and mathematics at St. Olaf College in Northfield, MN. One of his major professional interests consists in the development of tutoring systems for learning geometry. At the same time he has worked with teachers and two St. Olaf colleagues during the past ten years in two National Science Foundation funded projects to bring geometry microworlds and geometry tutors into the classroom. A recent publication is "Constraint Based Automatic Construction and Manipulation of Geometric Figures." His phone number is (507) 646 3117 and email address is

Benjamin T. Backus is a graduate student in the Vision Science Program at the University of California at Berkeley. He taught mathematics in middle and high schools from 1989 to 1993 in Oakland, California. Together with his advisor, Martin S. Banks, he has published work in binocular vision and the determination of heading from optic flow. He can be contacted at the U.C. School of Optometry, 360 Minor Hall, Berkeley, CA 94720-2020, email: For those interested in teaching vision through dynamic geometry, he recommends a visit to the web site

Dan Bennett is a mathematics editor at Key Curriculum Press, publishers of The Geometer's Sketchpad. He is author of Exploring Geometry with The Geometer's Sketchpad and Pythagoras Plugged In: Proofs and Problems for The Geometer's Sketchpad. Before beginning work at Key, he was a high school math teacher in San Francisco. He can be reached at Key Curriculum Press, P.O. Box 2304, Berkeley, CA 94702; e-mail:

Kathryn Boehm currently teaches mathematics at Harpeth Hall, a 5-12 independent school for girls in Nashville, TN. She has been teaching geometry for 8 years and has constantly sought ways, such as the use of dynamic Geometry software, to make the ancient subject come alive for her students. She is a member of NCTM and resides at 916 Whiteheath Ct., Nashville, TN 37221. E-mail:

Doug Brumbaugh teaches teachers and believes if he is telling others how to do it, he should be out there doing it. This year he will be teaching two geometry classes using Geometer's Sketchpad in a local school for at-risk students. Doug recently completed a secondary mathematics methods textbook, Teaching Secondary Mathematics, published by Lawrence Erlbaum & Associates. Telephone: (407) 823 2045; email:; web site:

Jere Confrey is an associate professor of mathematics education at Cornell University. Her research has focused on articulating the potential in mathematical ideas of students. History has been an important tool in establishing these alternative approaches. Her recent work with elementary students has focused on the construct of "splitting", establishing it as an independent but complementary idea to "counting." Currently she is co-authoring a multimedia precalculus course incorporating investigations and computer-based software tools. She is a senior editor for Computers and Mathematics Learning in which she co-authored the paper, "A Critique of the Selection of 'Mathematical Objects' as a Central Metaphor for Advanced Mathematical Thinking." Her phone number is (607) 255 1255 and e-mail is

Al Cuoco is Senior Scientist and Director of the Mathematics Initiative at Education Development Center, 55 Chapel Street, Newton MA 02158 ( where he is working on a high school geometry curriculum, Connected Geometry, that makes central use of dynamic visualization. From 1969 until 1993, he taught high school mathematics. His mathematical interests and publications have been in algebraic number theory, but he has slowly learned to appreciate the role of geometry and visualization. His favorite publication in this area is his article in the American Mathematical Monthly (98, 4), described by his wife as "an attempt to explain a number system no one understands with a picture no one can see."

Michael D. de Villiers is associate professor of mathematics education at the University of Durban-Westville, South Africa. His major research areas are geometry, the nature and philosophy of mathematics, and applications of school mathematics. Two recent publications are "An alternative introduction to proof in dynamic geometry", MicroMath, Spring 1995, 14-19 and Some adventures in Euclidean geometry (212 pp), 1996, University of Durban-Westville. Since 1988 he has been editor of Pythagoras, the journal of the Mathematical Association for Mathematics Education of South Africa (AMESA). His fax number is 027-31-8202866 and e-mail is

David Dennis is a professor of mathematics at the University of Texas at El Paso. His research focuses on the history of mathematics and mathematics education. Recently he conducted an extended study of the history of curve-drawing devices and their role in the genesis of calculus. He is currently involved in the Partnership for Excellence in Teacher Education (PETE), an NSF pre-service teacher collaborative to improve the mathematical and scientific preparation of K-12 teachers. Contact: Dept. of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968-0514; Tel: (915) 747 6775, Fax: (915) 747 6502, e-mail:

Tim Garry has been teaching secondary mathematics in international schools in Scotland, Switzerland and Norway for the past eight years. In Fall 1996 he began teaching at the University School of Milwaukee, 2100 W. Fairy Chasm Rd., Milwaukee, WI 53217 (fax: (414) 352 8076). His major interests are integrating graphing calculators and geometry software into the math classroom and sharing ideas with teachers at workshops. For the past two years he has been a member of the European Council of International Schools' (ECIS) Mathematics Committee and editor of The Centroid, the ECIS mathematics newsletter. His e-mail address is:

E. Paul Goldenberg, Senior Scientist at Education Development Center, Inc. (EDC), received his doctorate from the Harvard Graduate School of Education. Author of numerous books and articles on mathematics learning and uses of computers in education, his background includes mathematics coordination for the University of Chicago Laboratory Schools, and extensive teaching in primary, secondary, and graduate school. At EDC, Dr. Goldenberg has been principal investigator of Connected Geometry, a secondary mathematics curriculum project, as well as for a research effort "The Epistemology of Dynamic Geometry," both funded by the NSF. He is also engaged in other research and development efforts in undergraduate mathematics learning.

Catherine A. Gorini teaches mathematics at Maharishi University of Management. Her main interest is in investigating the connections between Maharishi's Vedic Science and mathematics and applying the principles of the development of consciousness to mathematics education. One aspect of her work in this area is in teaching mathematics visually---using art, computer graphics, and models---as a way of appealing to the whole student. Her publications include "An Art Research Project for a Geometry Course'' in PRIMUS, December,1994, and "Symmetry: A Link Between Mathematics and Life" in the Humanistic Mathematics Network Journal, Number 13, May, 1996. She can be reached by telephone (515) 472 1107, fax (515) 472 1123, or email:

Tony Hampson is based in the Faculty of International Education at Cheltenham and Gloucester College of Higher Education, Cheltenham , Glos., England (Tel & Fax 01242 532877), where he advises on quality assurance procedures relating to overseas programmes. He teaches mathematics within the undergraduate programme in Cheltenham and also to teachers in Hong Kong as part of the College's overseas In-Service BEd programme . His professional interest lies in undergraduate curriculum development in Mathematics and, in particular, the design and delivery of courses appropriate for intending teachers.

Fadia Harik is a senior scientist at BBN Systems and Technologies. Her current work and research is in the area of mathematics teaching/learning from a constructivist perspective with particular focus on classroom cultures. She has written curricula for teacher education courses in modern algebra and in dynamic geometry. She is currently directing an NSF teacher enhancement project where a set of video case studies are being developed for use by teachers and teacher educators to unravel the processes of inquiry as well as the obstacles to inquiry in the mathematics classroom at the middle school level. She can be reached by telephone (617) 873 3009, fax (617) 873 2455, and by email:

Douglas Hofstadter is a professor of cognitive science at Indiana University, with connections to several departments including Computer Science and Psychology. A math major at Stanford, he did his Ph.D. in physics at the University of Oregon. He explored number theory using computers in the early 1960's, and fell in love with "experimental mathematics". He never studied geometry at all, but somehow fell in love with it purely on his own in 1992. His love affair with Euclidean and other geometries (including Euclidual, its dual with respect to the self-dual projective geometry), mediated in large part through Geometer's Sketchpad, has been most ardent. He is deeply involved with triangle centers and their complex interrelationships, and has taught several courses on geometry and discovery, called "Circles and Triangles: Diamonds of Geometry" (or "CaT:DoG"). He is working on a book on these topics. Fax: (812) 855 6966; email: or (administrative assistant).

R. Nicholas Jackiw is a software designer at Key Curriculum Press, where he directs ongoing development of The Geometer's Sketchpad software and print projects, and participates in other software development projects. Jackiw's current research focus is on deploying dynamic geometry principles in the area of student-constructed graphs and related visualizations of quantitative information. He may be reached at

Zhonghong Jiang is an assistant professor of mathematics education and computer education at Florida International University. His major research area is the use of technology in mathematics curriculum and instruction. Recent publications include "A Computer Microworld to Introduce Students to Probability" (Jiang & Potter, 1994, in The Journal of Computers in Mathematics and Science Teaching, Vol. 13, No. 2) and "A Brief Comparison between the U. S. and Chinese Middle School Mathematics Curricula" (Jiang & Eggleton, 1995, in School Science and Mathematics, Vol. 95, No. 4). He can be contacted by phone (305) 348 3790, fax (305) 348 2086, and e-mail:

Michael Keyton has been a teacher of mathematics and music history at St. Mark's School of Texas since 1977. He has contributed to several reference works in music; he was an assistant to Nicolas Slonimsky in the production of the 7th and 8th editions of Baker's Biographical Dictionary of Musicians. In addition to his interests in mathematics and music, he was a professional golfer for several years. He studied at Louisiana State University (B.S., 1965; M.S., 1976), Indiana University (M.A., 1967), and the University of North Texas (Ph.D., 1986). He is the author of 92 Geometric Explorations on the TI-92 (Texas Instruments, 1996). His addresses are: 8580 Banff, Dallas, TX 75243; email:

James King has a Ph.D. in mathematics from the University of California at Berkeley has been teaching at the University of Washington since 1975. Since 1991, Jim has been an organizer and instructor in the Park City Mathematics Institute. His research areas include geometry of complex algebraic manifolds and other areas of geometry. He began teaching geometry using computers about ten years ago in a course based on problem-solving with Logo. Since then he has become involved in the use of dynamic geometry software, writing, teaching and organizing courses, workshops, user groups and sessions for college and high school teachers. He is author of Geometry Through the Circle with The Geometer's Sketchpad, Key Curriculum Press, and is currently working on a dynamic geometry project on the World Wide Web. Check out his web page: He can be reached at the University of Washington, Box 354350, Seattle, WA 98195-4350, or by telephone (206) 543 1915, fax (206) 543 0397, or email:

Jean-Marie Laborde, Research Director at CNRS, founded the Laboratoire de Structures Discrètes et de Didactique (LSD2) in 1982; this is a research laboratory within IMAG. He graduated in Mathematics at École Normale Supérieure in Paris in 1969. He earned a Ph.D. (Thèse d'Etat) in computer science at the University of Grenoble in 1977. His work on the Cabri project began in 1981; it was originally envisioned as an environment for graph theory. He has devoted his research efforts to the use of geometric methods for the study of different classes of graphs, especially hypercubes. He is currently involved with several of his PhD students in new developments of Cabri-géomètre. He can be reached at Laboratoire Leibniz - IMAG-Campus, Université Joseph Fourier - CNRS, BP 53 38041 Grenoble cedex 9 FRANCE; by telephone (33) 76 51 46 10 (sec 76 51 46 16), fax 76 51 45 55, or email:

Stuart Levy serves on the technical staff of the Geometry Center at the University of Minnesota, and among other computer-related activities enjoys programming for interactive computer graphics. He is one of the authors of the Geometry Center's Geomview graphical software package. His phone is (612) 624 1867, fax is (612) 625 8083, and prefers e-mail at

Edwin McClintock, professor of mathematics and computer education at Florida International University in Miami, FL, is writing and testing units of mathematics curriculum for middle school through graduate school utilizing Sketchpad in the visualization process. This development relates to a set of grants for which he is principal investigator or co-principal investigator. His phone is (305) 348 2087, fax is (305) 348 3205, and e-mail address is: or

James Morrow, who received his Ph. D. in functional analysis from Florida State University under the direction of W. J. Stiles, directs Mount Holyoke College's SummerMath program, along with his colleague and companion, Charlene Morrow. He is currently working on ways that computer technology, combined with reflection on problem solving, can be used to make sense of mathematics. He enjoys traveling with his dynamic family and watching his daughter, Hannah, learn and grow. He may be reached at SummerMath, Mount Holyoke College, 50 College Street, South Hadley, MA 01075-1441, or by phone (413) 538-2069, or email:

John Olive, an associate professor of Mathematics Education at the University of Georgia, Athens, has been working with students and teachers from kindergarten through college for the past 28 years. He received his Ph.D. from Emory University in 1985. He currently is co-director of two NSF-funded projects: Project LITMUS, a five-year Teacher Enhancement Project, and a research project investigating children's construction of fractions in the context of computer microworlds. He is author of a chapter on teaching and learning with The Geometer's Sketchpad in the book New Directions in Teaching and Learning Geometry, Lawrence Erlbaum Associates, and also has several journal articles on technology and school mathematics. Email or find his web page at

James M. Parks is a professor of mathematics at SUNY-Potsdam, and is currently a visiting lecturer for the MAA. Recent publications include Generic Topology, McGraw-Hill, rev. 1994, and "On Proof and Dynamic Software", Math. in College J., CUNY (to appear). His current interests are in geometry and applications of dynamic geometry software. His email address is

Arnold Perham is a teacher of mathematics and computer science at St. Viator High School, 1213 E. Oakton St., Arlington Hts., IL, 60004. He is particularly interested in using geometry construction software in an experimental setting. He coauthored the text Topics in Discrete Mathematics, Computer Supported Problem Solving, Addison-Wesley, 1993. He also coauthored "Discrete Mathematics and Historical Analysis: A Study of Magellan," Mathematics Teacher 88, (February 1995), pp. 106-112. He can be reached by telephone (847) 392 4050, ext. 226, fax (847) 392 4101, and email:

Bernadette H. Perham, until her death in April, 1996, was a professor in the Department of Mathematical Sciences, Ball State University, Muncie, Indiana. Her main interests included curriculum development and assessment. She was president-elect of the Muncie Branch of the American Association of University Women. In 1991, she received the Ball State University Outstanding Faculty award. She coauthored the text Topics in Discrete Mathematics, Computer Supported Problem Solving, Addison-Wesley, 1993 and also coauthored "Discrete Mathematics and Historical Analysis: A Study of Magellan," Mathematics Teacher 88, (February 1995).

Doris Schattschneider has a Ph.D. in mathematics from Yale University and has taught at Moravian College for over 25 years. Her main research interests are in discrete geometry, especially tiling, and in the visualization of mathematical ideas. She was Senior associate on the Visual Geometry Project, which included the development of the software The Geometer's Sketchpad. She has led workshops for teachers at all levels on the use of dynamic geometry software, and been active as co-organizer and presenter in sessions on dynamic geometry. She is author of more than 40 articles and several books, of which her favorite is Visions of Symmetry: Notebooks, Periodic Drawings, and Related Work of M.C. Escher, W.H. Freeman. She is the recipient of the MAA award for distinguished College or University Teaching of Mathematics. Contact her at Moravian College, 1200 Main St., Bethlehem, PA 18018-6650, or by telephone (610) 861 1373, fax (610) 861 1462, or email:

Heinz Schumann is senior lecturer in the Department of Mathematics and Informatics at the Pedagogical University (PH) Weingarten, D-88250, Germany. He is guest lecturer at the Technical University of Karlsruhe and was a visiting lecturer at the University of Josef Fourier, Grenoble (France). He has written several articles and books on geometry teaching and learning (with or without computers), and has produced educational software. He introduced Cabri Géomètre to German schools, teacher training institutions and universities and with David Green (Loughborough University/England) coauthored the book Discovering Geometry - using Cabri Géomètre. He is guest editor of the International Reviews on Mathematical Education (ZDM). His recent didactical research concerns computer algebra and the use of computers in spatial geometry at secondary school level. Fax: (49)75150200; e-mail:

Laurent Trilling is professor of computer science at the Université Joseph Fourier and head of the PLIAGE group (Programmation Logique Intelligence Artificielle Génie Informatique) in the LSR laboratory (Logiciel Système Réseau) of IMAG, both institutions in Grenoble. His professional research interests include artificial intelligence, constraint logic programming, and intelligent tutoring systems. A recent publication is "Figure Correctness in an Expert System for Teaching Geometry" and "Programmation géométrique, impérative et logique" in Journées francophones des langages applicatifs, collection didactique, INRIA (1996). His phone number is 33-76-82-72-13 and email address is