Which of the following sentences is correct?

A. I shall appreciate you coming to class on time.

B. I shall appreciate your coming to class on time
Sentence B is correct and has always been considered the correct form in traditional grammars. Nevertheless, some grammarians have begun to accept Sentence A as correct as well, especially in informal contexts.

In Google or a similar search engine search on the words 'possessive' and 'gerund'. You will get a lot of hits where you can compare various approaches to your question.
CalifJim & galley0,

Adding to the prior post, galley0 might want to see [url="http://webster.commnet.edu/grammar/possessives.htm"]this article on possessive forms[/url].

I am sure there are many other references as well. But I was curious so I looked it up at the previously mentioned link.

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Hi MountainHiker!

Actually, when you do the Google search, that very same article is within the first three or so hits!

Hope everything's going well for you.

Take care,

Jim Emotion: smile
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Hey CalifJim,

I find that [url="http://webster.commnet.edu/grammar/index.htm "]general site[/url] () to be quite helpful for a lot of topics. So when I saw its link, I visited it first.

It's a great day, so I am going to off here soon and enjoying the outdoors.

Hope you enjoying your Sunday!

Best regards,
MountainHiker Emotion: smile