Websites

Bartering with Aliens
"Anna has just landed on Fortitude, a recently discovered planet inhabited by Fortitudians, who have orange star-shaped bodies with eight arms instead of ten fingers. Her mission is to trade some chocolate, her favorite food on Earth, for “Foco,” an extremely delicious candy made in Fortitude." An online game about base number systems.

Celestial Navigation
"Celestial Navigation is the art and science of finding your way by the sun, moon, stars, and planets, and, in one form or another, is one of the oldest practices in human history. This webpage is an attempt to bring together all of the best Celestial Navigation resources on the internet, with pointers to other resources as well." An enjoyable way to use trigonometry!

Damping Functions
An explanation of damping functions and the "very cool way they are used in music."

Dance of Chance
Fractals in nature. Want to know more about fractals? Check out Fractalus.

Egg Math: Embryo Calculus
"How quickly does a chick embryo grow? Remember that the way any embryo develops is by repeated cell division. It starts off as a single cell which spilts into two. Each of those two cells then splits into two, and so on."

Exploring Pascal's Triangle
Search for patterns in Pascal's triangle.

Fibonacci Numbers and the Golden Section

Knitted Mobius Bands
Learn how to knit a Mobius-band scarf with K6 embedded in it. ("K6 is the complete graph on six vertices; in other words, take 6 points and join each pair of them by an edge. This can be done without crossings on a Mobius band.") Like knitting? Try out these other mathematical knitting projects!

The KnotPlot Site
"Here you will find a collection of knots and links, viewed from a (mostly) mathematical perspective."

Maya Mathematics
" Instead of ten digits like we have today, the Maya used a base number of 20. (Base 20 is vigesimal.) They also used a system of bar and dot as "shorthand" for counting. A dot stood for one and a bar stood for five."

National Library of Virtual Manipulatives

Number Spirals
Interested in curves? Prime numbers? Patterns? Very cool site.

The Pi-Search Page

Riding on Square Wheels
Learn about catenaries in this multimedia presentation.

Special Numbers: Discovering Patters
From the website: "Perfect numbers, palindromic numbers, prime numbers — all of these sets of numbers have properties that make them unique and interesting. In this Exploration, you will explore some of the characteristics and patterns of these Special Numbers."

StarLogo
"StarLogo is a programmable modeling environment for exploring the workings of decentralized systems -- systems that are organized without an organizer, coordinated without a coordinator. With StarLogo, you can model (and gain insights into) many real-life phenomena, such as bird flocks, traffic jams, ant colonies, and market economies."

Traffic Waves
The physics of traffic

Tutorials for the Calculus Phobe
"Learning calculus is pretty tough, and you can forget about reading your textbook to get help. Understanding that enormous tome is just as plausible as whittling a canoe from a giant redwood tree. Welcome to your oasis of understanding. The tutorials that follow explain calculus audio-visually, and are the equivalent of a personal tutoring session. More than just boring lectures, the topics come alive with Flash animation."

Visual Calculus
Tons of great tutorials, this site can be extremely helpful for anyone who's decided to delve into the world of absolute values, derivatives, permutations and matrices.