You can check out some of the videos on the AdobeTV TechComm Channel at http://tv.adobe.com/channel/technical-communication/
The best reference book currently available is "Publishing Fundamentals: Unstructured FrameMaker 11" by Matt Sullivan and Sarah O'Keefe. For an ePub see: Books - Scriptorium Publishing or order the book from Amazon: Publishing Fundamentals: Unstructured FrameMaker 11
There also is the Adobe Classroom-in-a-Book series that has a version for FM11 by Barb Binder. For an electronic version see: Adobe FrameMaker 11 Classroom in a Book (don't get the Kindle version, the layouts are hard to read/use - the PDF is much better).
There's an online training course available from lynda.com. See: Watch the Online Video Course FrameMaker 10 Essential Training
VTC has a FM9 training video series available at: Adobe FrameMaker 9 Course Online
The basics don't change, so even FM9 training is quite valid for FM12,
Note: all of these refer to using FM in an unstructured mode. If you want to learn Structured FM (DITA, XML or even SGML), then you'll still need to understand the basics that unstructured FM provides.
Thanks for the quick reply. I am looking for a non-paid option right now. So, I guess I will give Lynda.com a skip for now.