OK, here is an update to my earlier post.
Last week I started having the dropped connection problem again. This time was worse than before, with the concection dropped every couple of minutes. So I called AT&T again.
This time the operator performed a line test, and it appeared there was a problem on the line, so a tech was dispatched. He indeed found problems with the above ground line where small varmints had chewed into the line. It took him a couple of hours, but he left, confident he had fixed the problem. Well, not so much. Again I started having the problem with the dropped connection, and this time I felt the problem was with the AT&T router, so I set up an appointmenet with an in-home technician for the following day.
In the meantime, I started experimenting. Click on the wi-fi symbol on the menu bar, then click on "Open Network Preferences" then on the page "Network", click on "Assist Me," then click "Network Diagnostics."
Close any open windows except for the "Diagnostics," which will show all 6 lights green when you are connected. When you begin to have a problem with your connection, return to this page and look at the lights, and very possibly three lights at the bottom, ISP, Internet, and Server, will not be green. But even if they are all still green, click on the "Start over" button on the page and run through the brief check list, which should re-establish your connection in a few moments.
While I was playing this game with the Mac book Pro, I noticed my iPhone and my wife's iPad and iPhone never dropped a connection, which led me to believe there was very likely nothing wrong with the router, but rather it's a MacbookPro problem.
Then I shut down the router, and waited a minute or so, and rebooted it. Since then I have not had any issues, but I won't go out on a limb and say I'm "cured," but so far, so good.
And I cancelled the tech call, but he did show up and gave the set-up a cursory inspection and gave it the thumbs up. No charge for the call.
So if you are stymied by dropped connections, I recommend you try the "Networks Diagnostics" temporary fix. It won't be perfect, but it will get you reconnected quickly, and by monitoring the lights you will have something to tell the people at Apple.
Sure is strange. Still no help from Apple?