Place water in large bowl; sprinkle with yeast. Let stand 30 seconds; stir until blended. Let stand 5 minutes or until yeast is foamy. Stir in whole wheat flour, 2 tbsp oil and salt until batter is smooth. Slowly stir in 1 cuo of bread flour and 1/4 cup cheese to form soft dough. (Dough will be sticky). Cover; let stand 15 minutes.

Turn dough out onto lightly floured surface; knead 8 minutes or until dough is smooth and springy, using additional 1/2 cup bread flour as needed to keep dough from sticking.

Lightly oil clean large bowl. Place dough in bowl; turn to coat with oil. Cover; let rise in warm place 1 hour or until doubled in size.

Gently punch dough down; turn out onto lightly greased baking sheet. With greased hands, shape into 12 inch flat round loaf. Cover with clean towel; let rise in warm place 45 to 60 minutes or until loaf is almost doubled in size.

Meanwhile, place oven rack in lower third of oven. Heat oven to 375°F. With sharp knife, cut dough all the way through into 2 inch squares. Lightly brush top with egg white.

Bake 35 minutes or until light brown on top and pale brown on bottom. Brush with 1 tbsp oil; sprinkle with 1/2 cup cheese. Bake 5 minutes or until cheese is melted abd bottom of bread is light brown. Remove from pan; cool completely on wire rack.