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my DD8 is the kid who doesn't read directions or look at signs, so she could easily do an entire problem set completely wrong

Yes, DD can be like this, also. She also skips problems unintentionally or forgets to show work because she's moving too fast. So yeah, I don't know if I should just let her turn stuff like that in and learn from it or if I am "supposed" to make sure she doesn't do stuff like that. She is my oldest and this is our first year with any "real" homework, so I still feel like a novice here.

Plus, I actually work in the family and social science field, and have read umpteen papers about the importance of parental involvement in schoolwork and parental help with homework. I guess most of those papers are not about "my" kid, but when you read that over and over....