I used to think of that quote a lot as I walked the Princeton campus, through quadrangles and past trees that — legend had it — he had crashed into on his bicycle while he was lost in his thoughts.
I passed his house on Mercer Street every week on my way to music lessons, and I wondered if his sister had not had the door painted it bright red so that he might notice it and not bump into it.
When I realized I would have to teach both constructions AND proof this year in Geometry, I first thought of them as a Big Obstacle. But seven weeks in and I have fallen in love with constructions. I created this Constructions Castle project to give students plenty of practice doing constructions while also giving them a chance to develop their understanding of how shapes and angles fit together.
I think their work speaks for itself.
Files are on the Math Teacher Wiki (task card, constructions checklist, and rubric).
The more students do this project, the more awesomeness is revealed: