I said:a. I appreciate your taking the time to talk with me.
b. I appreciate you taking the time to talk with me.
Could you tell me which is gerund and which is participle??
you said:They're both gerunds- the difference between 'your' and 'you'is simply a question of formal\informal style in BE.
So you mean
Michael and David disagree about Michael's puttting up his posters--->gerund [formal]
Michael and David disagree about Michael puttting up his posters---->gerund [informal]