This is the Newton screen. You use this screen to collect puzzle pieces. When you pick up a puzzle piece it will appear in the bottom slot of the device to the left. To save the piece drag it up to one of the top slots. The object is to collect four that form a complete picture.
You can also get online help on this screen. While playing you can come to this screen by pressing the Newton key (C is the default). Click on the Help button below to get a description of whatever you were looking at.