Carpentry 'Magic': Draw a Circle... with a SQUARE?!
I'm reading The Outside by Ada Hoffman, a very spacey science fiction novel and it's pretty great. One of the first things that comes up is knowledge versus understanding. Geometry and algebra might be a good example. It is possible to learn the rules for manipulating algebraic equations and by applying these rules you can 'solve' an equation, but just because you solved it does not necessarily mean you understand what the equation means. If you took algebra in school you probably solved a couple zillion equations. I know I did, but it wasn't until I got into geometry that these equations started to make any kind of sense.