Your analysis is correct. In the first sentence, "singing" is a participle; in the second it is a gerund.
Student or Learner
I have come across the sentences:
1. I like YOU singing
2. I like YOUR singing
I personally understand the sentences as:
1. I like YOU singing = I like you when you are singing (hence “singing” here is participle I)
2. I like YOUR singing = like your songs (and here “singing” is a gerund)
I am an English learner and my teacher says that in both cases the word “singing” is a gerund and that the verb “like” is a perception verb.
Would you be so kind as to help me please?
I don't agree that "I like your singing" = "I like your songs".
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.
Thank you Mike and emrsr2d2 for your replies.
And emrsr2d2, could you explain, please, how to interpret "I like your singing" other than "I like your songs"?
Thank you again
'I like your singing' = 'I like the sound of your voice when you sing'.
'I like your songs' = 'I like the songs you have written.'
thank you very much