When I review her work, I take note of incorrect answers and have her revisit the problem. Usually, she catches her mistake. If not, we walk through reading the problem together carefully and she finds her error. Some of my friends think I'm too involved. I think I'm helping to build a missing skill. What do you think?
Besides not always taking the time to read her homework assignments carefully, is there any other evidence that your daughter is a careless reader? Has any teacher ever noted this failing to you? Over the years, do your daughter's reading scores on standardized tests show any problems? If not, your daughter is probably a bright child who is simply hurrying through her homework. Should your daughter have some reading weaknesses, a few sessions with a tutor or learning center should put her on the right track.
Don't just stop reviewing your daughter's homework all at once. Talk with her first about how your role in getting her homework done should be lessening. Point out the importance of her learning to catch her own errors in order to insure continued academic success in high school and college when your help will be less available. Be sure to tell her how pleased you are about the way she handles her homework. Finally, explain that it is now more appropriate for you to offer assistance only when she truly needs it rather than reviewing all her work.