What is the definition of a step? When a player catches the ball with one foot on the floor, it is established as the pivot when the other foot touches in a step. If the first foot is lifted prior to the second foot landing, I don't consider that a step, but rather a jump and a landing.

So how is that traveling? It isn't, until the pivot (first) foot touches the ground or the ball is released to start a dribble.

There is a gray area in the rule.

4-44-3b: After coming to a stop and establishing a pivot foot, if the player jumps, neither foot may be returned to the floor..........

Well, the argument follows that the pivot foot has not been established until the second foot touches the floor in a step, and you cannot have a travel without the pivot foot established. Well if this blanket statement were true, the player could catch the ball standing on his left foot and hop on that same foot from one end to the other. So that leaves us with separating a step from a jump. Yes, a single normal step of a running person involves both feet off the floor briefly. But is the intent of the rule that a player be allowed to catch the ball standing on one foot, hesitate, and then do a standing broad jump and land on the other foot? My opinion is no.

There's a case (albeit catching the ball with both feet on the floor) tat disporves this.

A "Step" is "touching the other foot to the floor."

It's only a grey area for those who refuse to see black and white.