"If you're not looking into my eyes when I'm talking to you then I don't think you respect me." Do you know these people? Get off your high horse already. All it means is that I'm able to carry on a conversation while doing something else. Ie. I'm economizing on my time. It may come as a shock, but everyday conversation is not some noble art, it's a very common and cheap thing, any two people can have a go anytime at all.
And at the heart of the issue, not every conversation is engaging enough to require that kind of undivided attention. If I were speaking to say Jerry Seinfeld about his writing process or say Miguel de Icaza about his next vision in the linux space, I just might want to concentrate fully on that. But if I'm having an everyday conversation about some issue that isn't immensely gripping, I'm not going to. In any case, it's a drag to keep up that staring contest beyond the first 5-10 minutes anyway.
If anything, the staring makes it difficult for me to concentrate. I'm thinking to myself: "How much should I be staring? OK time to briefly look away, then verbally verify you're listening, then look back" and crap like that. It's no good :D
I think the random quote I saw next to this post is appropriate here
"The true measure of a man is how he treats someone who can do him absolutely no good."
~Samuel Johnson (1709-1784)~
There's nothing more annoying than trying to hold a conversation with someone who looks like they're not listening (even if they are). If you're bored you should say so and show a litle honesty, or else not get annoyed when people complain.
You can't be serious. Do you really talk like that to everyone at every occasion? Showing that you're not interested in the conversation is one thing and I catch myself doing that from time to time, yes shame on me. But there is a way to keep a conversation going perfectly well without a staring contest. I get really bored with that, so I start looking around the room and stuff. It doesn't mean I'm not interested, I can still keep my focus on the subject.