Through working on this project, I gained more knowledge on this topic: Compass and Straightedge Construction. And I found that drawing a picture using only compass and straightedge could be a very great activity for high school students. And it is necessary to involve this topic when teaching students geometry.
The stories related to this topic are interesting. Students could understand how the problem originated. For example, there is a story about the doubling cube.
[Eratosthenes, in his work entitled Platonicus relates that, when the god proclaimed to the Delians through the oracle that, in order to get rid of a plague, they should construct an alter double that of the existing one, their craftsmen fell into great perplexity in their efforts to discover how a solid could be made the double of a similar solid….]
When I was creating the artwork, the most significant part was thinking about how to construct each stroke. If I want to draw a triangle, I have to think about which method I should use, and how to make it not arbitrary. I think this activity could help to develop high school students' creative skills. They can get experience reasoning about axiomatic system. Teaching student compass and straightedge construction can also help them develop logical and geometric reasoning.
I think this project is very meaningful to me. I will definitely use it in my future teaching practice.
Great project, and very meaningful reflections on it!
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