 $200 Double Bubble New Challenge (Math Chat)  Frank Morgan, MAA Online
Challenge: This open problem appears as Conjecture 4.10 in "Component bounds for areaminimizing double bubbles," by Cory Heilmann, Yvonne Lai, Ben Reichardt, and Anita Spielman (NSF "SMALL" undergraduate research Geometry Group report, Williams College,
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 2010 Mathematics Puzzle
For students in grades 312 with a general knowledge of mathematics. Use the digits in the year 2010 and the operations +, , x, ÷, ^ (raised to a power), sqrt (square root), and ! (factorial), along with grouping symbols, to write expressions for the
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 21st Century Educator  David Wees
Wees serves as the learning specialist for information technology at Stratford Hall (Vancouver, BC). His blog posts, which date back to November, 2008, have included "Creating a WiiMote interactive white board at my school for under $50," "Eight Videos
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 21st Century Problem Solving  Howard C. McAllister
Examples of problems solved using reliable problem solving methods; discussion of the principles of reliable problem solving; a FAQ; and an evolving encyclopedia of solved problems in mathematics, physics, and chemistry. The main focus is on precollege
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 21st Century Teachers Network (21CT)  The McGuffey Project
A joint undertaking by several leading education organizations to encourage, recognize, and support educators who are developing skills in new technologies and using them in innovative ways with students and colleagues. This initiative is in support of
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 22nd Annual AMATYC Conference (Mathematics Archives)  John St. Clair, Editor
Presentations and contributed papers on mathematics education, improving quantitative literacy, multimedia in the classroom, realworld activities and applications, and more, from the proceedings of the TwentySecond Conference of the American Mathematical
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 The 24 Game  Suntex International Inc.
A site showing all the editions, challenge rules, tips, hints, and more about the 24 Game. Designed for all ages, play proceeds by creating the number 24 from the four numbers on a game card using addition, subtraction, multiplication, or division. Watch
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 24HourAnswers.com, Inc.  24HourAnswers.com, Inc.
Emailed answers to questions and homework problems, online tutoring, and a section of free SAT math prep packets: 30 highlyfocused skill packets with answer keys and level of difficulty for each problem.
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 24 Theory
This "hobby website" offers JavaScript that calculates, enumerates, and displays all distinct solutions and solvable scenarios to the popular arithmetic card game, as well as interactive tables. 24theory.com also provides an online version of the 24 game
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 A 27Vertex Graph That Is VertexTransitive and EdgeTransitive But Not 1Transitive [PDF]  Peter Doyle
A paper describing a 27vertex graph that is vertextransitive and edgetransitive but not 1transitive. While all vertices and edges of the graph are similar, there are no edgereversing automorphisms. PostScript, source, and PDF picture are available
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 2Learn.org  Linda Blumenthal, Thinkwell Corp.
Offering a variety of products including a comprehensive learning plan, created online. Many free resources for teachers, parents, and students, as well. Math games and tools.
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 2nd Conference for AfricanAmerican Researchers in the Mathematical Sciences (CAARMS)  Rutgers University  DIMACS Center
The 1996 CAARMS conference: announcement, program, how to order the proceedings.
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 2 Pi Productions  Jake Scott
Instructional math rap includes the original songs "Triangle Experts," "Special Right Triangles," "Graphing Trig Functions," "Quadratic Formula," and "The Best Pythagorean Rap Ever." Lyrics include "The cosine is sine with a phase shift of pi/If you think
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 30 Days of Problems for 30 Years of High School Math Competitions  Anne Arundel Community College
Thirty problems and their answers from high school math competitions held at Anne Arundel Community College during the past 30 years.
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 30 Second Challenge: The Fun Way to Learn Mathematics  Norman D. Lock
eBooks (PDF format) that provide an entertaining approach to developing mental arithmetic skills.
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 3.1415926...  TWON, INC.
This visualization of the first four million decimal digits of π shows each of the digits 09 as a different colored pixel. Slide the navigator down to see the numeric "snow" representing the digits 500,001 through 4,000,000; search for any number
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 360 Degree Math  Sean Kavanaugh
"What if there was a way to make the thinking of each student visible to the teacher throughout the lesson?" 360 Degree Math classes begin with the teacher personally greeting each student as she enters the classroom ("The Exchange"); students solving
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 39 ERIC Citations for Block Scheduling  Catholic University of America
These citations are divided into the following categories: Research Reports for Block Scheduling; Identifiers (ERIC controlled vocabulary term); Title Phrase; Free Text Phrase; and Copernican Plan. Directions for ordering ERIC journals and documents cited
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 3D and SIRDS images  Jonathan Bowen
An archive of single image random dot stereo (SIRDS) and other 3D images, together with related information and software. It is available via anonymous FTP. Plain text information on frequently asked questions concerning SIRDS, an index and a README
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 3DCalculator  Andre Bullitt Software
Download a demo (Windows 95), see a short video, or purchase for U.S. $10.00 online.
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 3D Drawing and Geometry  Cathi Sanders
A Math Forum Summer 1998 Institute project that uses examples of paintings, architecture, etc. to analyze different types of 3D drawings, and teaches students how to create them. Careers in 3D drawing that use these techniques, from architecture to
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 3d Etc.  3d Etc, Inc.
OpenGL for XServers  White Pine & Tenon; 3D Explorer and Mechanical Systems (Mathematica plugins).
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 3D Math Explorer  TEBER Engineering & Education Software  Dursun Teber
Graphing software for plotting 2D and 3D data: a computer program that plots 2D and 3D graphs of mathematical functions and curves in unlimited graphing space. Features include 3D curve plotting in real time,
perspective drawing, graph scaling (zooming),
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 3D Modeling, Fabrication and Illustration  Tom Longtin
Mathematically based models and examples of creating accurate patterns for nonconvex polyhedra when material thickness is a concern. Links to illustrations of: Stained Glass Prototypes; VRML; Tensegrity Structures; OcTet Truss Space Frames; Mechanical
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 3D Nauta
A threedimensional spatial, topological problem/game with Web interfaces in Spanish, French, and English. Of two versions of the game, one is accessible
to most people, while the other can be made difficult exponentially. You are invited to order your
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 3D Stars  Free Instructions  James E. Garner
Free instructions for making 3D paper stars, using basket weave technique.
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 3D Strange Attractors and Similar Objects  Tim Stilson
A pictorial archive of "fsh" and polynomial strange attractors, chaosgame objects, and quaternion Julia sets, with links to books about chaos and strange attractors.
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 3DXplorMath  Richard Palais
3DXplorMath creates visualizations of mathematical objects and processes. This tool has builtin algorithms for displaying mathematical objects such as plane curves, space curves, surfaces, conformal maps, polyhedra, ordinary and partial differential
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 The 3n +1 Problem  Darrell Cox
A probabilistic approach to the Collatz conjecture. With references to continuedfraction convergence of log(3)/log(2), mcycles, and other classical approaches to the 3n+1 problem, as well as the MSVC++ C code that confirmed many of Cox's propositions.
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 3rd Conference for AfricanAmerican Researchers in the Mathematical Sciences (CAARMS)  Morgan State University, Baltimore, MD
The 1997 CAARMS conference: announcement, schedule, poster sessions.
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 3TAP (Tableaubased Theorem Prover)  Reiner Hähnle, Bernhard Beckert, Stefan Gerberding
A manyvalued tableaubased theorem prover developed at the University of Karlsruhe. It can be instantiated for arbitrary finitelyvalued firstorder logics, and it can handle equality (twovalued), sorts, and nonclausal input. Source code, a manual,
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 The 3x+1 problem and its generalizations (Organic Mathematics Proceedings)  Jeff Lagarias
The 3x+1 problem, also known as the Collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm, and Ulam's problem, concerns the behavior of the iterates of the function which takes odd integers n to 3n+1 and even integers n to n/2.
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 4000 Years of Women in Science  University of Alabama
Over 125 women scientists from our scientific and technical past, with biographies, references, and photographs. For Mathematicians, see Listing by Discipline.
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 42eXplore  Annette Lamb and Larry Johnson
Web projects that offer definitions, activities, four good starting points, and many more links and resources for thematic topics such as charts and graphs; codes, ciphers and secret messages; fractals, tessellations, geometric shapes, and figures; number
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 42nd International Mathematical Olympiad: Math Expands Horizons  Dr. Walter E. Mientka, Executive Director
This event brings to the USA 500 of the most talented high school age mathematicians from more than 80 countries. Washington, DC, hosts the Olympiad, with opening ceremonies on July 4, 2001. The American mathematics community uses this opportunity to
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 4th Annual Conference for AfricanAmerican Researchers in the Mathematical Sciences (CAARMS)  Rice University, Houston, TX
The 1998 CAARMS conference: schedule, conference attendees contact information. See also http://cm.belllabs.com/who/will/caarms4.html.
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 The 4th Spatial Dimension
An introduction to the visualization of 4 dimensional space. Numerous resources.
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 50 States' Certification Requirements  College of Education, University of Kentucky
Links to teacher certification requirements for all 50 states, as well as a K12 job opportunities database.
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 5½ Examples in Quantum Mechanics  Tom Kirkman
An informal textbook, introducing quantum mechanics with a grounding in classical mechanics. It tries to formulate problems in ways that allow easy translation into Mathematica code. Sets of problems at the end of each "chapter" provide extentions of
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 5 Numbers  Simon Singh and Marcus du Sautoy, BBC Radio 4
Web pages and Real Audio Music downloads of fifteen minutelong radio broadcasts that take a "quirky look" at zero, pi, the golden ratio, i, and infinity. "Hear about the stark reality behind the imaginary number, try a slice of pi, find out about the
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 5 x 5 Magic Squares  H. B. Meyer
An interactive page dedicated to the construction of 5 x 5 magic squares. You may move the numbers manually, watch the computer slowly create a magic square, or have the computer quickly generate a magic square. Requires JavaScript.
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 6+1 Trait Writing (NWREL)  Northwest Regional Educational Laboratory
A scoring guide (rubric) not specifically for mathematical writing, but useful nonetheless. Subjects included: ideas and content, organization, voice, word choice, sentence fluency, and conventions. Also links to other Northwest Regional Educational Laboratory
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 65m.p.h. Speed Limits, Large Primes, and Japanese Exams (Math Chat)  Frank Morgan; Christian Science Monitor
When a state increases a highway speed limit from 55 to 65 miles per hour, by what percent does the road capacity (in cars per hour) change?
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 82 Games  Roland Beech
Indepth statistical coverage and analysis of the National Basketball Association (NBA). The site analyzes teamwide or playerspecific shot selection and shot clock usage, production by position, player pairings, foul drawing, turnovers, and clutch play
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 8 Foxes
A blog in which geometry questions of different levels are posted daily.
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 8 is Great: Math Games
Addition, multiplication, and division practice at the elementary level. Tips and tricks offered for 9 and 11 times tables, factoring a quadratic expression, and generating the Fibonacci sequence. Also includes a sudoku puzzle.
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 8th International Congress on Mathematics Education (ICME)
ICME 8, July 1421, 1996 in Seville, Spain. The Math Forum hosted the Web component of Topic Group 19  ComputerBased Learning Environments. Complete abstracts and list of contributors; Online electronic poster sessions. Part of a larger series of firsthand
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 9th Grade Math Proficiency Test  NASA Lewis Learning Technologies Project
9th Grade Math Practice Questions to test addition, multiplication, wordproblem skills, and basic algebraic skills. Includes answers and explanations. From the Proficiency Building Activities of the NASA Lewis Research Center K12 Program.
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 A1 All Subjects AtHome Tutoring Service®  Raymond La Barbera
Specializes in private, onetoone, athome instruction in all subjects, grades, levels, and tests. Instructions on hiring a tutor; links to tutorials; advice for working with A1 All Subjects, and for starting your own tutoring business.
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 AAA Math  John Banfill
Online interactive lessons, exercises, practice, and games about basic arithmetic concepts and methods, for grades K8. Topics include addition, comparing quantities, counting, decimals, division, estimation, factors, fractions, money, multiplication,
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