Roll-and-move refers to a mechanic where players are given a field to move in, and roll dice to determine how and where they can move. They might be moving freely in a grid, or the dice values might determine where they can or can’t go. The basic mechanic is simple, though: Roll any number of dice, and use that information to determine your movement in some way.
Roll and move is effective as a starting point mostly because it’s really, really well known: Most people know a roll-and-move game and they get it quickly. It also has a lot of underexplored space: most roll-and-move games these days tend towards moving in one direction, like Monopoly or Trouble, but there’s a lot you can do with it – roll and move could be useful for representing things like the pull of variable things, or weather patterns, it could be useful for acceleration or deceleration effects.
Roll and Move is a bit of a pariah mechanic in games because there’s been a lot of really bad roll-and-move games made that were distributed. What’s more there are some games that would be pretty good if they didn’t use Roll-And-Move and instead came up with some better, more thematically appropriate scheme to handle movement. Basically, Roll And Move is something of a Default and it shouldn’t have to be, nor should people feel obligated to consider it as such.
Some roll-and-move games include Hero Quest, Monopoly, and Snakes and Ladders. It’s obviously not a well-regarded mechanic but that doesn’t mean you should consider it unusable – it’s also the basis of the game Camel Up, and is explored in Formula D.