Main Question or Discussion Point
How do you think of numbers when you're doing math? I particularly feel like sometimes we get to close to acting like computers. We just scan through a list of symbols and compute another list of symbols that makes sense in a certain context. We hardly ever think of things concretely and how they would apply to real life scenarios. When solving equations we just go through a series of steps and come up with an answer, never thinking of what each of those steps actually imply. I know math is meant to be abstract and all, but what are your views on the subject? Should we even be bothered by this abstraction?