Comment by rz2k
It should be more easily discoverable, but command-shift-g lets you type in the path directly, and even has tab completion. If you want to navigate visually, navigate up to the computer or drive where you want to start, then press command-shift-period in order to see all of the directories that are usually hidden.
Both of these approaches work in the open and save dialogs, and not just the Finder.
Thank you for the cmd-shift-g tip. That will save me a lot of grief.
Re your second tip: how do you navigate up? I couldn’t see an obvious way to do that, either.