Programming Experiments
These are some experiments I've made in using the computer to enhance math understanding. Or to give me some programming practice. Or both. Or whatever.
Matrix row operations (php with MathJax)
- Matrix reduction practice
- Solving simultaneous equations by substitution
- Solving simultaneous equations by elimination
Illustrating the Simplex Method (javascript)
So far I've only handled standard maximum problems without anomalies.
(Problems are from whatever Finite Mathematics text we were using at the time.)
Click here to check it out.
Pythagorean Triples (javascript)
Since sometime in Junior High, I've had a fascination with sets of integers that can form the sides of a right triangle. Nothing earth-shattering here, but a little fun producing lots of triples.
- Triple of the Day
- Making Triples (how it's done)
- Pythagorean Triples
- Math Matching Games (Firefox only) - I've been experimenting with Javascript generation of problems rendered in MathML. Here are a couple of pages to try.
- These pages are "proof-of-concept" attempts, not commercial products. Much could be improved and/or added. Hopefully some will.
- This is expected to render correctly on Firefox, but probably not on other browsers.
- Firefox is supporting "presentation markup". I don't know about "content markup".
- There are some quirks in generating MathML with Javascript, especially when creating "entities".
- Yes, I know I'm generating some ill-formed MathML - fighting Javascript and the browser are my current excuses.
The idea is the same for each type of problem - turn the cells green by clicking pairs of cells which are equivalent.
Things to note: