My first year of teaching constructions was a disaster. I never learned constructions when I was in high school, so I had no frame of reference of how to teach them. We constructed circles. That was it. In college, I learned about constructions with Geometer's Sketchpad, but it is so different from doing constructions by hand.
My second and third years of teaching constructions was much improved because I'd discovered http://www.mathopenref.com/tocs/constructionstoc.html. I was able to play animations of constructions while helping individual students that needed more help. There are still some drawback's however. Firstly, we don't use the same type of compass presented in the animation.
Our school has these:
We used to have these:
We currently use these:
The second issue with the animations is that they don't always show exactly what I need them to. Sometimes they show extra steps, and they make partial arcs instead of full arcs. These are small differences, but they are enough to confuse students.
So now that I am in my fourth year of teaching constructions. I found another solution, and it was right under my nose the whole time. I am one of those teachers that cannot imagine teaching without a SMART Board. I have been trained in the use of SMART Notebook during my undergraduate education. I knew that SN had construction tools available for awhile, but I never fully explored them. It was daunting, and I had a mile-long to-do list, so I forgot about it.
This year, I needed to show my students a construction, but it was too different from the one available on Math Open Reference. I took a look at the tools, and found that the compass was so much easier to use than I ever imagined. I thought it would be helpful to show a brief tutorial on using the compass on the SB. It takes some practice, but I think it's going to make a big difference in how I teach constructions next year. Take a look at the compass directions I have posted below.
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