In case you haven't heard about the six types of gameplay in Tetris DS, here's a press release from Nintendo with that info.
Portable Tetris DS Blends New Games with Classic Nintendo Characters and Music
Tetris(R) DS will have players humming along as their thumbs move at
lightning speed. On March 20, Tetris DS launches exclusively for Nintendo
DS(TM) with six game modes, each themed with classic Nintendo characters and
remixed classic Nintendo music. The new ways to play reignite the addictive
passion of one of the most popular games of all time.
Players can connect to Nintendo(R) Wi-Fi Connection, Nintendo's wireless
gaming service, or choose one of six other ways to play:
Mission: In this Legend of Zelda(R)-themed mode, players race the clock to
complete the missions that appear on the top screen before time runs out.
Catch: In this Metroid(R)-themed mode, players try to land Tetriminos
(falling blocks) on any side of an ever-growing floating pile of Tetriminos.
Once players complete a 4-by-4 square, the Tetrimino will explode in all
directions and earn points.
Puzzle: Players solve up to 200 tricky Tetris puzzles at their own pace
with the help of just a few Tetriminos provided. Players tap the orientation
they want to use and then the Tetrimino will automatically fall into place as
Yoshi(TM) monitors the action.
Standard: This Mario(TM)-themed mode features the same addictive game play
that made the original Tetris so wildly popular. Players guide Tetriminos and
form horizontal lines to clear them away. Mario runs around Super Mario
Bros.(R) levels in the background.
Touch: This unique Balloon Fight(R)-themed take on Tetris really shows off
the touch-screen capability of Nintendo DS. Players use a stylus to drag and
move a giant stack of Tetriminos to make them fall into horizontal lines. In
early levels, they can tap to spin them just the way they need them. Players
have as much time as they need to carefully plan their moves.
Push: The goal of this multiplayer Donkey Kong(R)-themed mode is to clear
two lines at a time to push the group of Tetriminos into an opponent's red
zone. Players can't let their own Tetriminos build up too high, or it's game
over.