My son (9) rushes through his automated math tests and often makes careless errors as well...mostly because he refuses to do any work on paper. (He thinks it takes away the challenge for him.) Since I can't convince him to "show his work," I am working on convincing him to mentally check his math. He seems to like the idea of this "double challenge." -- My math teacher friends say that he needs to learn to show his work because it will be required later in high school, etc. However, I'm not that worried about it right now.