leonf, there are actually way more than 2 methods to knit. Many, many methods, from all over the world. But you have to start someplace. I teach beginners Continental style because it has so many advantages as you advance in your skills. But... if they just aren't "getting it", I try them on English style (throwing), and it usually clicks.
Then you opened the can of worms of sock knitting! LOL. There are so many techniques used nowadays, you could knit a sock dozens of different ways, with different style heels and toes. I suggest starting with a basic top-down, flap and gusset heel sock. Just to learn the basics... But then not everyone will want to knit socks.
Beginners get bored making endless scarves, so I suggest some cotton wash cloths which go quickly and are useful. Having a knitting friend or friends you can turn to for help, is also a plus.