Catalog of Isohedral Tilings by Symmetric Polygonal Tiles

From the article "One Corona is Enough for the Euclidean Plane" by Doris Schattschneider and Nikolai Dolbilin, published in "Quasicrystals and Discrete Geometry," J. Patera, editor, The Fields Institute for Research in Mathematical Sciences Monograph Series, Vol. 10, AMS, Providence, RI, 1998, pp. 207-246. You may view the deformation of the flexible tilings interactively, using the JavaSketchpad version of the tilings, and/or download the Sketchpad files to your computer.

Corner for Interactive Geometry Software (CIGS)

The Math Forum's main area for resources in support of teaching with dynamic, interactive geometry software such as Cabri Geometry and the Geometer's Sketchpad. Pages include instructional activities and lessons to read on the Web; sketches to study and/or download; a place for questions or conversations on the discussion group geometry-software-dynamic; links to sources of information and downloads of software; and help with configuring your browser and other questions you may have.

Encouraging Mathematical Thinking, Discourse around a Rich Problem

This videopaper by the Math Forum's Bridging Research and Practice Group (BRAP) of teacher practitioners and Math Forum Staff opens a conversation around the use of discourse as a basis for encouraging students' mathematical thinking and supporting teachers' professional growth. Reflecting an attempt to integrate practice and research, it reports on findings culled from discussions of research articles and chapters, classroom practice, and videotapes of classroom teaching, noting links between these findings and research into student learning and instruction. Video clips from the teachers' classrooms illustrate the interventions discussed; a challenge problem and lessons for various levels are detailed; corresponding student predictions are presented; and readers' reactions and input are encouraged throughout.

Exploring Data

Pages for finding and displaying data sets, designed to support workshops on statistics given by the Math Forum for the Urban Systemic Initiative (Philadephia and San Diego). Included are: links by level to relevant statistics Standards (NCTM, California, Philadelphia); lesson plans for collecting, analyzing, and/or displaying data; sources of data sets, general information, courses, and statistics software on the Web; and an "Oceans of Data" page with a data set (diving records) to download, instructions for making ClarisWorks graphs, suggested questions for discussion, and related 'ocean links' (NOAA, SeaWifs, tide tables, etc.).

Famous Problems in the History of Mathematics

Explore the History of Math through some famous problems from antiquity to today. This Math history project was designed by Isaac Reed of Swarthmore College with the assistance of The Math Forum.

Teacher Exchange

The Forum experiments with using the Web for instruction and with involving Forum users in the creation of materials. The goal is to open possibilities for educational materials that combine hypertext, interaction, multi-media, and communication at a distance.

Geometry Turned On

Geometry Turned On: Dynamic Software in Learning, Teaching, and Research, edited by Jim King and Doris Schattschneider, is a book published by the MAA. This site contains the files that accompany the papers in the book, as well as a description of the book and ordering information.

Mathematics and the WWW

This hypertext document by Math Forum Director Gene Klotz outlines his views of the effect of the World Wide Web on mathematics and math education. Although the paper was the basis for a talk given to college mathematicians, it is written for a general audience. Gene's goals: a) to give novices a good overview of the WWW and math; b) to fill in gaps in the knowledge of more advanced users; and c) to examine where we appear to be going. Gene offers controversial conclusions and imagines wonderful and horrible possibilities, along with strategies for seizing opportunities and avoiding pitfalls. A form of this paper was presented at the spring 1997 meeting of the Eastern Pennsylvania and Delaware section of the MAA.

Pascal's Triangle

Pages designed to support workshops given by the Math Forum for the Urban Systemic Initiative (Philadephia and San Diego). Read about the history of Pascal's triangle and learn to construct it; view illustrations of number patterns to be discovered; carry out interactive investigations in Java script or the Geometer's Sketchpad, and explore this famous triangle through lesson plans that feature questions, answers, discussion, and student worksheets.

Swarthmore Project for the Implementation of Mathematical Software on the Web (SPIMSOW)

This Web site is the product of a 1998 summer project investigating current Web-oriented mathematical software. The site explores the capabilites of the new Web versions of Mathematica, Maple, and MathView™, and offers tutorials on configuring the software and creating your own Web notebooks using the software.

Symmetry and Pattern: The Art of Oriental Carpets

In this online exhibit, the study of symmetry is used to analyze patterns in Oriental carpets. A joint project of The Textile Museum and The Math Forum.