No! I have never even heard of the stay connected rate. Going to call later today. Thank you!
No problem! We had to talk to a couple different staff members first because we were being told we couldn't use multiple discounts, and we kept saying, "We're not. The Teacher discount is on one room, and the Connected one is on the second room." A manager and a great staff member finally helped us make it work

Here's the info from the Swan & Dolphin site:
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Stay Connected in 2013! Now is the perfect time for you and your family to stay with us at the Walt Disney World Swan and Dolphin hotels. Book any rate plan listed below, then call us at 888-828-8850 to reserve a second guest room starting as low as $129*. Be sure to ask for "Stay Connected" when you call!
Terms & Conditions
•Offer is valid at the Walt Disney World Swan and Dolphin for stays January 1 - December 23, 2013.
• Rates are per room, per night, based on single/double occupancy and subject to availability at time of booking.
• A limited number of rooms may be available at these rates and additional restrictions and blackout dates apply.
• Offer is for individual leisure travel and not valid for guests staying on a negotiated group rate.
•Second room reservation must be under the same name as the first room and must have the same arrival and departure date.
•If one room is cancelled, the lower rated CONNECT room must be cancelled. The hotel reserves the right to correct any errors made by guest on cancelling the higher rated room.
• Basic room rates do not include additional per room per night charges that may be imposed or state/local taxes. The Resort Service Package is charged per room, per night. Please view all details here.
• Not responsible for typographical errors or omissions.
•Void where prohibited by law.
• Starwood reserves the right to discontinue this offer at any time.
© 2013 Starwood Hotels & Resorts Worldwide, Inc.