Monday, October 12, 2015

Entry: Presentation/Project Feedback

   I had an enjoyable experience in re-creating hyperboloids using wooden skewers. There were several methods available to us through the internet which offered us varying levels of success. It was quite a struggle simply following the directions and in the end I had placed one of the skewers on the incorrect side, which caused the entire structure to require amendments. If I were to teach this in a classroom setting I would definitely create a clearer set of instructions, as well as blunting the ends of the skewers (which caused several unfortunate incidents).

   The mathematics involved were fascinating to observe, as adding each layer of rubber bands altered the shape that it expanded into. In a similar manner, the amount of skewers used played a role in the rigidity and lattice work of the finished structure. By modifying the method used to build it and by stretching it in different ways, we were able to create a wide range of hyperboloids using the same set of straight lines. I think this would be a perfect activity in one of two classes: an elementary school class to introduce the simplicity and beauty of various mathematical shapes or as a high school class to augment a lesson on geometry or hyperbolas. As an elementary class activity it would require a great deal of supervision, as they were not simple to build. I think that a highschool class would be fine with an explanation/printout of the instructions, followed by the teacher wandering the class and assisting where required.

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