+
Activity
University of Massachusetts

Fractal Project: Exploring Fractals

For Students 9th - 10th
A good beginner's site for fractals - the language is straightforward and requires only minimal experience to be able to understand the topic. (Note: When clicking on links on archived site, they may pause and appear not to be found...
+
Activity
Other

Quantum Object: A 3 D Mobius Strip

For Students 9th - 10th
Highly technical site on the Mobius Strip.
+
Unit Plan
Boston University

Fractal Geometry of the Mandelbrot Set Ii

For Students 9th - 10th
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
+
Handout
Jim Loy

Jimloy.com: Saccheri

For Students 9th - 10th Standards
This site explains the Saccheri quadrilateral and the importance of his work in geometry.
+
Activity
Other

Georgia Tech: The Four Color Theorem

For Students 9th - 10th
An explanation and proof of the Four Color Map Theorem. Includes illustrative images and a plethora of information.
+
Handout
University of St. Andrews (UK)

University of St. Andrews: St. Andrews: History of the Four Color Theorem

For Students 9th - 10th
The University of St. Andrews offers a brief history of the first math problem to be solved with computers.
+
Unit Plan
Boston University

Boston University: Chaos, Fractals and Arcadia

For Students 9th - 10th
This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.
+
Unit Plan
Boston University

Bu: Fractal Geometry of the Mandelbrot Set

For Students 9th - 10th
This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.
+
Handout
Wolfram Research

Wolfram Mathworld: Elliptic Geometry

For Students 9th - 10th Standards
MathWorld offers a brief definition of elliptic geometry and including a brief discussion of its relationship to Euclidean geometry, with links to other related definitions.
+
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Fractals

For Teachers 9th - 10th
This site provides some links to activities and lesson plans dealing with fractals and chaos.
+
Handout
Other

Mathematical the Four Color Theorem and Computer Proof

For Students 9th - 10th
This site describes the role of computer involvement in the four color map theorem.
+
Unit Plan
Other

Eal: Fract Ed

For Students 9th - 10th
A great resource for beginners. The site begins with a definition of iteration of functions, and proceeds from there to discuss fractal dimension.
+
Activity
University of Canterbury

Canterbury: The Konigsberg Bridge Problem

For Students 9th - 10th
An introduction to the Konigsberg Bridge problem and its relationship to network theory.
+
Activity
University of Illinois

University of Illinois Urbana Champaign: Torus Math: Spherical Geometry Demo

For Students 9th - 10th Standards
A java applet on this site illustrates the principles or spherical geometry.
+
Handout
Math Words

Math words.com: Elliptic Geometry

For Students 9th - 10th Standards
The basic definition for what elliptic geometry is is found here.