For someone without a lot of knowledge in photography, you could learn a lot from a good high-end ultra-zoom camera. These have a far greater bang-for-the-buck than you will ever get from a DSLR, as far as zoom for the money. And they are usually more advanced and more capable than a typical compact pocket cam, as they have more manual control options to help learn more about aperture and shutter settings, white balance control, manual ISO control, various focus and metering modes, etc.
Before any DSLR folks go nuts (as they often do when anyone recommends anything but a DSLR), I use a DSLR myself, and they are always going to be a better camera overall, and with greater flexibility overall, than an ultrazoom P&S camera.
However, not everyone needs a Ferrari when a Toyota will do just fine. Ultra-zoom cameras will typically cost less than $500, whereas a very basic entry-level DSLR kit will be a little higher with a cheap kit lens. The Ultrazoom will provide an F2.8 lens with a zoom range of up to 18x optically, ranging from 28-36mm on the wide end to as long as 520mm on the tele end. The DSLR kit lens usually won't go much beyond 120mm, and usually much less sensitive (F3.5 or worse). To get the equivalent lens range as an ultra-zoom, a DSLR buyer would have to spend another $1,000 to purchase a telezoom that can reach to 300-400mm. The DSLR may be better in handling high ISO, low light focus, and flexibility to extend the range with myriad lenses, but the ultrazoom can give the average consumer a portable, light, cheap, one-box solution with a huge optical range. And since not everyone wants to become 'a photographer', but may simply want to document trips and family with a decent camera that's at-the-ready when needed and is reliable...not everyone honestly needs a DSLR even if they are better (back to the exotic-car reference!).
So my recommendation would be to look at ultrazooms like the Canon S5 IS, Sony H50, Panasonic FZ28, Nikon P80, etc. You can grow from a novice to a very talented photographer with these devices - they can take a good photo in auto mode when you need to, and have room to grow and learn manual controls. They have awesome lens range in a small, light package. And they are very reasonably priced. Hope that helps!