Stage 1: "Comming to grip with the physics of pool" This is where the player learns how to aim, shoot, bank, kick, and manouver the cue ball around the table. Terms like throw, squirt, swerve, bank, kick, pocket speed, follow through are understood and in use.
Stage 2: "Forgetting that you are playing" This is the stage where the player acts and reacts intuitively. There is no lineing up of the OB and pocket, no calculations as to what spin to put on the ball, little thought as to how to get the CB from the poit of contact to the next shooting position... The line on the CB and the line of the OB are simply visualized, throw is anticipated, as is swerve and squirt.
Stage 3" "Playing the table" This is the stage where the player is capable of runninig racks. At the start it does not happen, at the end it does. Nohing about the storke, calculations, aim changes in this stage. What changes is the mental model of the order in which the balls need to be run, and why. This is generally the stage where the CB is positioined to one side or the other of the NEXT shot so the subsequent shot is easier to get position on.
Stage 4: "Playing the opponent" This is the stage where you win or loose based not on skill but on cleverness of CB position when a safety is played or when a miss is anticipated. Safety play is routine, position is chosen for a good next shot for player and a horrible shot for opponent. Player watches opponent looking for ways to tweek the opponents mental game simply by play on the table.