You can shred cabbage in 2 basic ways; with a mandolin slicer or by hand with a good old cutting board and knife. To shred with a mandolin Cut your head of cabbage into quarters, through the core. Adjust your mandolin to the thickness you want, and simply slice each cabbage quarter, holding the core with your hand. You'll probably want to discard the core instead of slicing it. To shred by hand Cut your head of cabbage into quarters, through the core. Cut on a diagonal to remove the core from each quarter. Now use your knife to slice the cabbage as thin as you like. When you're done you may want to cut the slices in half lengthwise so they'll be easier to eat later, but that's your call.