In a small saucepan bring water to boiling; stir in quinoa. Reduce heat; cover and simmer for 10 to 12 minutes or until tender and liquid is absorbed. Remove from heat. Transfer to a small bowl and chill for 1 to 2 hours.
Preheat waffle baker according to manufacturer's directions. In a large bowl combine the flour, brown sugar, baking powder, and salt. In a medium bowl combine the quinoa, banana, egg yolks, butter, and milk. Add to flour mixture and stir just until combined.
In a clean medium bowl, beat egg whites with an electric mixer or wire whisk until stiff. Fold into banana batter.
Add batter to waffle baker according to manufacturer's directions. Serve topped with berries.