Thoughts from a 21st century educator.
I was inspired by an algebra puzzle, done similar to this one, so I decided to build my own.
Also, I've got a quadratic equation version of the same puzzle available here:
The following constructions are all conic sections (as I was teaching this section to my 10th grade students) and are 'quick and dirty' constructions of conic sections. All you need to do in the examples is drag the point C left and right to see the shapes show up.
You can use this applet to show your students how to examine cubic polynomials and determine the effect of changing the 4 coefficients of the equation [tex]f(x)=ax^3+bx^2+cx+d[/tex].
In this applet, we can see visually what happens when we multiply two complex numbers (each of which has a length of 1). Vector u, and vector v are multiplied to give vector w.
Try dragging B and C, the endpoints of v and u respectively to try and see what the result of the multiplication of two complex numbers is.
[graph xmin="-7" xmax="11" ymin="-10" ymax="20"]x^2+4x[/graph]
This applet shows you how the distance formula varies as you change the position of the points.
Drag A or B and see the effect on the distance formula.
I've written a series of scripts which:
1. Create a new Countdown puzzle each week.
2. Create a user form so that users can enter their solutions and have them checked.
3. Let the user know whether or not their solution is valid, and if it is, enter them into the database of solvers. It then displays a quick table of the top 10 solutions.
You can try it out here.
This is a very simple script which allows you to create mathematical networks (or graphs). To create a node, click once, after that to connect two nodes, click inside one node, and drag to the other node, and release your mouse. You can also click on a create node, and drag outside to somewhere in the empty space and create a new node.
I'm working on a script that allows a user to enter in a logical statement in symbolic form, and then the script creates the truth table for that logic. It doesn't work perfectly yet, but it's an interesting exercise. One of my students asked me if the reason we studied logic was partially because of computers, and I agreed.
Check it out here.
This is a simple compass, created in Flash. I'm just intending it as a demonstration tool for one of my classes.