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Originally Posted by flyingspaghettimama 
Another idea:
Read "The Myth Of Laziness" by Mel Levine.
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I was going to suggest that book as well. If he has any learning issues, often well compensated for by giftedness and therefore not addressed, it could look like laziness. I would hate to see you lose the opportunity to remedy his weaknesses by not investigating the possibility.
Secondly, I can give my experience with my 'lazy' gifted 3rd grader.

She is also known to skim through quickly and make mistakes by not paying attention to what she is doing. She could lose focus in a nanosecond! The only 'fix' that we have found is to up the challenge level, significantly and allow projects driven by her interest. No, she doesn't unschool, or do only the things that she is passionate about, but that does make up a significant amount of her day. Over time I have seen her ability to focus on her work and pay attention to details grow tremendously. It is a definite area of weakness. One that we slowly work on and see steady improvement in. I have also had to find ways to model this level of organization to her. Since this is also a weakness of mine, it has been a challenge! The ability to perservere through frustration and boredom requires a passionately held goal and many, many years of slow incremental growth in your ability to maintain focus.
Whatever you do, you will not 'fix' his problem any time soon. It will take time and patience and understanding, and your ability to perservere through a long and often frustrating process. I really think you would see much more effort on his part if he was accelerated to the point that the work required more concentration on his part. He may not be able to generate the needed level of concentration on his own, without powerful internal motivation due to the material being very interesting to him. First he has to learn how to concentrate, by any means necessary, before you can realistically require it of him.
Just as an example - I think my daughter would only last a week or so in a third grade math class without beginning to turn in worksheets with more problems wrong than right. She did however, recently finish an honors pre-algebra class with a 94% average. She does not have the skill to focus on a non-interesting task with no observable benefit (to her) for hours on end. By allowing her to work at a challenging level, she is developing the skill to focus. By the time she is an adult, if there is a compelling reason to persist in a boring activity for an extended period of time, I think she will be well prepared to take it on. She will have developed those focus 'muscles' by repeated use. She will repeatedly use them because she sees a reason to do so.
Hope this helps, good luck on your journey!