learning & teaching resources

Basic Math/Pre-algebra

perimeter vs. area (App)
virtual manipulatives for various concepts (App)
fraction visualization exercises (App)
virtual pattern blocks for fraction visualization (App)
suggested exercises using pattern blocks
Q & A on fractions, signed numbers, etc.


Trig/Precalculus/Calculus

visualizing trig functions, esp. Going in Circles (App)
sums of sine/cosine waves (App)
sums of sine/cosine waves (App)
virtual "spirograph" [drawing toy] (App)
webMathematica-based symbolic calculations (App)

Statistics/Probability

histograms (App)
visualizing mean and median (App)
the Monty Hall problem (App)

Geometry/Topology

taxicab geometry
spherical geometry
board games on curved surfaces (App) VERY COOL!
regular polyhedra and higher dimensions
Flatland on-line
space-time geometry
knot theory & DNA

Mechanics/Physics

virtual construction set (App) VERY COOL!
virtual matter (download Windows app) VERY COOL!
ideal gas in a box (App)
gas in a box (download Win/DOS app)
relativity courses, tutorials, visualizations, and references

Algorithms/Computing

Tiny Logo interpreter [direct a "turtle" to draw] (App)
The Game of Life [2-D growth simulation] (App)
Floys [flocking, territorial behavior] (App)
Langton's Ant (App)


General/Miscellaneous

math in the news (American Mathematical Society)
mathematical essays (American Mathematical Society)
math e-zine (Cambridge Univ.)
science behind technologies (National Academy of Sciences)

cryptography (number theory)
image compression (wavelets)
GPS--Global Positioning System
Millenium Prize Problems Lectures at the University of Texas
The Poincare Conjecture (Cameron Gordon)
The Birch and Swinnerton-Dyer Conjecture (Fernando Rodriguez-Villegas)
Yang-Mills Existence and Mass Gap (Lorenzo Sadun)
P versus NP (Vijaya Ramachandran)
Navier-Stokes Existence and Smoothness (Luis Caffarelli)
The Hodge Conjecture (Dan Freed)
The Riemann Hypothesis (Jeff Vaaler)
Movies with Math/Physics
Mathematical Ulterior Motives