To have a beaver cross your path means you are learning to look for alternative solutions and to see that you can create them yourself. Beaver's are builders and action-oriented animals, so they are encouraging you to work at the things in front of you. And there is always more than one way in and always more than one means of escape; in fact, Beaver teaches you that there are many alternatives by way of waterway channels. Beaver refuses to be cornered, caught off guard, trapped or blocked either.