Math Forum Highlights
- 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
- 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: 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
- 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
- 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
- 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.