Handmark Scrabble 1.1
the author of this app says:
The Handmark Scrabble Game is designed to play just like the classic board game. It includes an Official Scrabble Player's Dictionary and it automatically scores every game.
Drag and drop your tiles into place to form words and score points, just as you would on a Scrabble board. One feature you are sure to enjoy is the ability to save partially completed games to continue at any time.
You can play against one, two or three opponents using one device. You can also play against opponents using multiple devices using infrared beaming.