GeoGebra, Dynamic Mathematics for Everyone, is a programme you can really get excited about.
To get started, go to the website GeoGebra and download the open source (free) Java-based software. I have little doubt GeoGebra will have a long life on the desktop.
With multiple views for math objects (graphics, algebra, and spreadsheet), GeoGebra can be used as tool for teaching and learning, presentations, and authoring. My interest was in teaching/learning using the graphics view for my middle schooler's exploration of area in 2d shapes; that is, proving the Pythagorean Theorem. It was a lifesaver for me when scissors and paper failed and my homeschooler's eyes were still fierce with disbelief.
This programme has an amazing amount of support. Besides a 100-page Official Manual, there is a wiki page with free teaching material for elementary, middle, and high schools and college. There is even a section for "Recreational Mathematics" which was a new concept for me. Check out the kaleidoscope.
To explore the humble Pythagorean Theorum, I found a GeoGebra dynamic worksheet (by Anna Kostura) which used a slider to demonstrate the theorum and voila, the lights went on.
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