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Using the other half cup of salt and starting from the outermost leaf, generously sprinkle salt over the thick white part of each leaf (similar to salting a piece of meat). Try to salt all the cabbage quarters with 1/2 cup salt, but you can use a little more if needed. Repeat with the rest of the cabbage quarters. Pour the remaining salt water from the first bowl over the cabbage. Set aside for about 6 - 8 hours, rotating the bottom ones to the top every 2 - 3 hours.
Cut the radish and optional pear into matchsticks (use a mandoline if desired), transferring to a large bowl. Cut the scallions diagonally into about 1-inch long pieces. Add the prepared seasoning mix to the radish, and mix well by hand. Throw in the scallions, and mix everything lightly. Taste a little bit. It should be a little too salty to eat as is. You can add salt, more salted shrimp or fish sauce, as needed. Let it sit for about 30 minutes to allow the flavors to meld nicely.
Fold the leaf part of the cabbage over toward the stem and nicely wrap it with the outermost leaf. Place it, cut side up, in a jar or airtight container. Repeat with the remaining cabbages. Once all the cabbages are in the jar or airtight container, press down hard to remove air pockets. Rinse the bowl that contained the radish mix with 1/2 cup of water (or any remaining optional dashima broth) and pour over the kimchi.