You need to learn the properties of all the objects, since you can use this knowledge to your advantage.
Monsters move in regular patterns.
Rocks fall in certain ways. Often, you must have experience with the layout of a board to know where you should walk, what rock needs to be pushed where, what diamond to get first. Here are some more detailed examples. Explosions take up nine squares, and destroy almost everything around them. If a path is blocked by a rock, try blowing up a monster next to the rock to destroy it.