Rebounds are generally considered to be a major part of the game, as they often lead either to a possession change or to a second (and often better) opportunity to score by the side whose initial attempt failed.
In sports such as basketball and netball, the term is also used as either noun or verb to describe the successful retrieval of the ball in that circumstance.
In sports that have an assigned goalkeeper or goaltender, after that player makes a save, they may (and if they are able, usually should) then retain immediate possession of the ball or puck themselves, thus preventing a rebound from occurring.
The football is kicked into the frame which then returns the ball back to the player mimicking a pass from a teammate.
Another form of football rebounder is similar to a trampoline, they consist of a solid frame with either a mesh net or wireframe stretched over them to create tension which then returns the ball in a similar way as a player would.