Bring large pot of water to boil with 1 tablespoon kosher salt.
Remove any tough or brown leaves from the outer portion of the cabbage. Shred the cabbage.
Boil the cabbage for 12 to 15 minutes, until it is very tender (ours is generally done around 12 minutes). Drain the cabbage into a strainer.
Place the cabbage in a large bowl with the butter, fresh ground pepper, and kosher salt (around 3/4 teaspoon for a large head of cabbage). Adjust the salt to taste: salt until the flavor pops!