I don't think I am very unique amongst OSR gamers in my map fetish. Maps were one of the first things that drew me to Dungeons and Dragons. I had an immediate visceral reaction when I first gazed upon the map of the Haunted Keep in the Moldvay Basic Rulebook and the Caves of Chaos in The Keep on the Borderlands that accompanied it. Before I ever played an actual game of D&D I created my own floor plan on the graph paper provided in the back of B2.
Players mapping their adventures was a big part of early editions of Dungeons and Dragons. Graph paper ("6 lines per inch is best") is listed as an essential part of the game in Book I of Dungeons and Dragons (OD&D). "One player should map the dungeon..." in Holmes' edition. formalizes the position with "This player is called the mapper" in my beloved Moldvay revision.
It has also been mentioned that player mapping of a dungeon can facilitate emergent gameplay. By drawing out their explorations they may discover dimensional magics at work, divine the possible location of secret chambers, or solve puzzles based on the very construction of the dungeon rooms and corridors.
As I grow older I waffle between the nostalgia of player mapping and the expediency of just giving the players a map of where they have been. Technology certainly makes that easier today. Most of my games are online; and programs like Roll20 make it ever-so-easy to just 'reveal' to the players what they see.
Right now I am contemplating how to handle this for an in-person game for some old friends who are coming for a visit. Do I eat up the limited time we have to game by laboriously describing the dungeon and letting them fumble through the mapping process? Or do I use the technology readily available and just throw the map up on the big screen TV as they explore the area?
What method do you prefer, and why?