I'm a native English speaker, and I noticed that I sometimes use accusative pronouns (him, her, me) to replace actors in certain clauses. I have a feeling this is prescriptively considered incorrect usage, but I want to be able to describe it.
"What does that have to do with me not coming to class?"
"I want to hear about them starting a new game."
"Him winning that contest has nothing to do with his family."
Maybe the prescriptively correct form is the possessive, and this is confusion based on "her" which is the same in both? Or maybe it is because when the clause comes second, the pronoun makes sense as an object of the larger sentence? But that doesn't apply for the third sentence as much unless you flip it around:
"His family has nothing to do with him winning that contest."
How do you describe what is happening here? Why does it happen? Is it considered "incorrect", and if so, how widely? (I have the intuitive sense not to write it in an essay, but it comes so easily out of my mouth...)