your or you

AnonymousI remember you- your doing that.

". . . . your doing that" would be correct with the gerund. (possessive)

Many native speakers use "you" in that situation.

I suspect it's because we say, "I remember seeing you do that," or ". . . . seeing you doing that."
(a slightly different structure)

- A.

AnonymousI remember you- your doing that.

There are two possibilities:
1) the present participle as a modifier to the pronoun "you"
It translates roughly to:
I remember you as you were doing that.

2) the gerund, with a possessive subject
I remember your doing that.
It translates roughly to:
I remember your action of doing that.