In a bowl of a stand mixer, mix together the yeast, brown sugar and water. Let it sit for about 5 minutes, until it becomes frothy.
Using the dough hook of your stand mixer, mix in the all-purpose flour and salt. Then slowly begin adding the whole flour until the dough just comes together in the mixing bowl. Let it knead on a medium-low setting for about 3 minutes .
Place the dough in an oiled bowl, and turn to coat. Cover the bowl with a tea towel or plastic wrap, and set it aside to rise for about an hour, or until doubled in size.
Separate into 16 even balls, and roll out “snakes” of dough. Then twist them to make pretzel shapes. Cover the dough with a tea towel and let rise for another 15 minutes.
Preheat the oven to 450˚F. Brush each bagel with a little water and sprinkle with coarse salt. Bake for 12 to 15 minutes, or until the tops are golden brown.