Sprinkle a small amount of all-purpose flour on a flat surface, and spread it around with your hand. Turn the bread dough out onto the floured surface in a circular shape.
Now, we will knead the dough. Using one hand, lift one end of the dough, and using the palm of that hand, firmly fold and press it into the center of the ball of dough. Turn the dough one quarter turn, and continue this same process. Add the additional whole-wheat flour, 1 Tablespoon at a time, to keep the dough from sticking to your hands. You may or may not need to use the entire remaining 1/2 cup of whole-wheat flour as you will only add as much as you need to keep the dough from sticking. Knead for 7-8 minutes, or until the dough is elastic and smooth. Shape the dough into a ball.