The idea. Drag blocks together so that same-colored ones meet, and they vanish. Clear the whole board to finish a level, using as few moves as you can.
The difference. Swipe and Clear is less about speed and more about plans. Look at all the colors before your first move, and never leave a lonely block of one color, because it cannot be matched later.
The extras. Every level has its own pattern, and the game has an achievement system for people who finish all stages. It trains attention, strategy and patience, and a good score comes from a few well-chosen moves, not many quick ones.
2048 Classic is a good next step for thoughtful players.