In a large bowl, dissolve yeast in water. Add whole wheat flour, sugar, oil, caraway, salt and 2 cups all-purpose flour; beat until smooth. Add enough of the remaining all-purpose flour to form a soft dough.
Turn onto a floured surface; knead until smooth and elastic, about 6-8 minutes. Place in a greased bowl, turning once to grease top. Cover and let rise in a warm place until doubled, about 1 hour.
Punch dough down. Turn onto a lightly floured surface. Divide in half, then divide each half into 36 pieces. Shape into balls; place three balls each in greased muffin cups. Cover and let rise until doubled, about 30 minutes.
Bake at 375° for 15-18 minutes or until golden brown. Remove from pans to wire racks.