They look kind of crude, but I made these slippers myself. The green and brown pair is for my son. The brown and grey pair is for his girlfriend.
I’m parking this here for reference: How to knit, from About.com.
Okay, I need more than that: how to knit socks.
Maybe I need this: how to turn a heel (from Kelley’s sock class).
This is very useful: the rest of Kelley’s sock class (playlist of 13 videos).
How to knit basic top-down socks on five needles.
Besides long-tailed cast-on, there are other, more elegant, more confusing ways of casting on for knitting.
More cast-ons similar to long-tailed cast-on: The old Norwegian cast-on. It’s a good cast-on for socks, as it’s stretchier than a long-tailed.
Here’s a nice video showing casting on of knit stitches in the Twisted German technique.
You can do an alternating knit and purl cast-on, also called German Twisted. It’s very stretchy for socks.
Knit and purl cast-on
Finally, there’s Judy’s magic cast-on for toe-up socks.
How to knit an i-cord border.
Increasing and decreasing stitches.
Increasing stitches: knit into the back loop, yarn-over, make one.
Increasing by knitting or purling into the front and back.
Purl two together through the back loop.