The best way to start off on this project is to say that I wish we’d done better with this one. Not that it went terribly or anything, I just think that Dan’s program is a great thing to use to talk with kids about Dragon curves, fractals, programming, and probably lots of other stuff, too. We just scratched the surface.
With that off my chest . . . .
Earlier this week Dan Anderson posted a really cool program you can use to explore the Dragon Curve (you may have to click on the gif to start the animation):
The code and an interactive version of the program is here:
One of the reasons that I was excited to see Dan’s program is that I’d done a Dragon Curve project with the boys a little over 3 years ago. In fact, it was Family Math 8 – this project was Family Math 292!!
Today we started by just playing around with Dan’s program. The main idea here was to see if they remembered what Dragon Curves were and to let them see the basics of how Dan’s program worked:
Next I let the kids just play around with the program. They enjoyed varying the angles in the curve and seeing the resulting shape change from sort of simple looking, to crazy looking, and then *surprise* back to amazingly simple looking:
In the last part we decided to take a closer look at the situation when the angles in the curve produced equilateral triangles. Unfortunately, it proved to be a little more difficult than I thought to talk about the angles here because the clockwise vs counter-clockwise turns were a little confusing for the boys to see. Although they seemed to get to a pretty good understanding by the end of the talk, I wish I would have anticipated the difficulty with the angles here. I’m sure I could have explained what was going on much better if I would have understood ahead of time that understanding the angles would be confusing.
So, as I said in the beginning, there’s way more you can do with Dan’s program that we did in this project. Even just scratching the surface was fun, though. I hope I get to see someone use this program for a “hit it out of the park” math project with kids.