I'd like to respectfully disagree with anyone who uses the terms "the right way". *smile*
I call myself a Sinister knitter because my knitting moves from my right needle to my left needle. If I don't change some patterns, I end up with a backwards version of the pattern. BUT....working *against* the natural pathways of the brain cause other struggles and challenges which can remove the enjoyability of the craft. (It's been determined that lefties forced to switch can have difficulties framing thoughts and doing some tasks as the brain tries to figure out *how* to do it.)
I've got a pamphlet put out by Coats & Clark in the 1960s (I'm guessing by the picture for the free pattern). It was offered in a "left-handed" and "right-handed" version. With that, I could sit and work on my own. When I was ready, I asked my mom to show my how her right-handed knitting compared to my Sinister knitting and the only mistake was how I was wrapping my yarn: it was creating a twisted stitch.
I've not been able to determine copyright on this pamphlet---I'd love to scan it and get it online to get the basics out there more easily. Also, check out http://www.leftoutknitter.com/ for an excellent DVD which will help any new knitter.
Thank you for trying to teach your daughter to work from *her* strengths. As an adult lefty, I personally am glad I learned this way. The few challenges which remain are minor, compared to making my hands work against their own inclinations.
Anne.