January 2002: Problems With a Point - Education Development Center, Inc. (EDC)
A collection of problems for students in grades 6-12. Problem sequences are carefully structured to develop new mathematical ideas in the course of practicing old ones, to connect mathematical ideas, and to develop deeper insight into familiar ideas by revisiting them in unfamiliar ways. You can: find problems to foster specific skills; try a guide to preparation for classroom use; read comments about the problems and post your own; check out other readers' favorite problems; suggest a problem for the database; subscribe to the newsletter for recently added problems, extended problem commentary, and selected comments from users; and explore Web links and print resources.
MATHLINE - PBS TeacherSource
A professional development resource for teachers of pre-K-12 mathematics. Based on the National Council of Teachers of Mathematics (NCTM) Standards, MATHLINE brings you videos of classroom educators modeling Standards-based instruction, the corresponding lesson plans, and state and national standards correlation. More Math Concepts organizes the lessons and activities into monthly themes, such as: Mathematics in Transportation, Farming and Gardening, Math and the President, Math and the Movies, Architecture, Music, the Iditarod Sled Race, and more. More Math Challenges offers problems to solve, organized by mathematical subject. Career connections, assessment suggestions, and teaching tips are also available.
Game Theory .net - Mike Shor
A comprehensive resource for teachers and students of game theory. Contribute or browse through lecture notes; find a textbook by level or field; try your hand at a test or quiz; or look for the game theory in your favorite movie. Also includes interactive applets and games, and links to other resources on the web.
Primary Math Activities - Varnelle Moore
Making Mathematics: Mentored Research Projects for Young Mathematicians - Education Development Center, Inc. (EDC)
Three units of lesson plans for grades K-2, designed to introduce basic concepts in measurement, fractions, and geometry. Each lesson includes: an interactive, manipulative-based project; an activity involving technology; pencil and paper practice; and literature connections. Each unit's lessons are aligned with Philadelphia and NCTM Standards. "Teacher Support Extension Ideas" offers links and other ideas.
Get connected! This program matches students and their teachers with professional mathematicians in open-ended mathematics research projects. The site: provides sample projects with a host of supporting materials; suggests research projects and ideas about how to develop them; offers handbooks for students, teachers, mentors, and parents; discusses mathematics research skills and tools; and hosts the "Hard Math Café" discussion area.
String Figures, Mathematics, Origin - Martin Probert
Remember playing cat's cradle when you were young? Ever wonder where it came from? This site provides: a discussion of the math behind the figures ("trivial knot theory"); speculation on how string figures developed; and instructions for making several figures invented by Probert. See also the International String Figure Association's (ISFA) list of other string figure sites.
Topology and Geometry Software - Jeff Weeks
Fun math toys for all ages, from the author of Exploring the Shape of Space (grades 6-10) and The Shape of Space (grades 12-16). Applets and software for various platforms. Play with tic-tac-toe, mazes, and the like, on a torus or Klein bottle. Draw symmetrical patterns based on any of the 17 tiling groups. Kali was designed especially for young children, and high school or college geometry students. Rotate tessellations of the sphere, Euclidean plane, and hyperbolic plane in real time. Also, morph from one tessellation to another in a common symmetry group, or use red-blue glasses to view tessellations in stereoscopic 3D. Explore interactive 3D animations in spherical, flat, and hyperbolic spaces. Create and study hyperbolic 3-manifolds. A page of materials for teachers of grades 6-10 supports the two-week classroom unit Exploring the Shape of Space. Weeks' introductory college-level book The Shape of Space has its own resource page.
NonEuclid - Joel Castellanos, Joe Dan Austin, Ervan Darnell
A Java program offering straightedge and compass constructions in hyperbolic geometry for high school and college students. The site suggests explorations and introduces hyperbolic geometry. Topics include: What is Non-Euclidean Geometry?; The Shape of Space; The Pseudosphere; Parallel Lines; Axioms and Theorems; Area; X-Y Coordinate System; Disk and Upper Half-Plane Models. There is also a section for teachers, motivating non-Euclidean studies. Users may download a compressed version of the program for use offline.
Classroom Calendar - Eisenhower National Clearinghouse (ENC)
A calendar whose days have topic overviews, ready-to-go activities, and math and science curriculum materials. All entries include direct links to Internet sources and are correlated to national science and mathematics standards. New entries are added throughout the year. From ENC's This Week, which also features math, science, and education news items, and a weekly poll.
Count On - Department for Education and Employment, United Kingdom
Activities and resources--some simple and some fancy--for parents, teachers, and students. Resources offers, among other things, guides: to mathematical misconceptions; for parents helping with homework; for promoters of math fairs; and for providers of summer numeracy programs. Numberland features poems, artwork, and number facts about the numbers 1-100. The Matrix includes four interactive galleries: arithmetic aids, geometry tools, practical applications, and mathematical musical instruments and art. Explorer comprises nearly twenty activities and stories. Maths MagNet provides interactive stories for 5-11 year olds. There are also math games and news, a daily puzzle, a searchable dictionary, listings of UK math events, and much more. CountOn is the continuation of Maths Year 2000, the United Kingdom's project celebrating World Mathematical Year 2000.
ProtoZone Inc. Software - Al Jarnow
Shockwave applications for drawing, thinking about, and exploring symmetry, three-dimensional space, logic and memory games, wave forms, and Conway's Game of Life. These applications are excerpts from larger programs, some of which are installed at the Long Island Children's Museum, the National Museum of Science and Industry (London), and the Brooklyn Childrens's Museum.
The Abacus: The Art of Calculating with Beads - Luis Fernandes
A piquant collection of materials about the abacus. Highlights include: A Java applet abacus with calculation tutorial; the history of abaci--earlier forms and development; comparisons between different types of abaci; stories of contests between abacus and calculator and between abacus and Richard Feynman; and resources for teachers.