There are two formats for recordable DVDs, DVD+ and DVD-. Both come either as write once, or re-writable, hence DVD+R/RW, or DVD-R/RW. I'm not sure what the technical differences are, but it's a little bit like when VCRs first came out (not sure if you're old enough to remember), when there was three different formats - VHS, Betamax, and Video 2000 (V2000). V2000 quickly bit the dust, but there quite a long rivalry battle between VHS and Beta, with VHS, obviously, winning in the end.
Personally, I believe that DVD- (minus) will win the DVD Format war, as it is more compatible with more machines, but who knows? The best idea at the moment, is to get a DVD Writer which is compatible with both formats, and there are quite a few available now, with prices falling all the time.