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My group has agreed that we will not use miniatures or tiles to play AD&D 1e. Instead, we will rely upon the "Theater of the Mind" style gameplay. This will be a major change for me as a DM, as I played 4e strictly with miniatures and maps.
I believe that we will still assign the group a "cartographer" (as the DMG suggests) but this will only be used (I assume) to have a general idea of tracking the players' movement over time.
My question is, what general advice do you have to somebody planning to DM 1e with as little intervention of minis, maps, etc. as possible?