Steve Grisettis' http://muvipix.com website has free tutorials. You can also take a subscription and get access to many more.
Also Adobe TV has tutorials:
Insanity is hereditary, you get it from your children
Along with Neale's suggestions for tutorials and learning series, I also recommend Steve Grisetti's Muvipix PrE books. He basically has written 3 - one just for PrE, one for PrE and PSE, and then the followup, Tips & Tricks. I am a bit more of a "book-guy," and especially for references, as I find video tutorials to be difficult to find particular elements within.
I have not seen the Adobe Classroom in a Book for Premiere Elements, Adobe Press, but have used the CiaB series for PS, AI, InDesign, AfterEffects and PrPro for years. They are well-written, and so very useful. Adobe Press has just released the CiaB for PrE 9, and I would assume the same high quality and usefulness.
[Edit] Oops, just checked Neale's individual links, and he linked to Steve's books. I thought that they went to Steve's Basic Training, and Learning Series, both on Muvipix.com too.
Thanks Neale, Bill and Steve. I will check out these sites and look forward to learning more about PE9. I am already concerned that my computer I/O may be a little weak but will give it a try anyway.