We posed these questions because when
we fi rst attempted to solve the problem we
had diff erent solutions. Erol pictured cubes
and triangles and used his knowledge of
permutations to fi nd the probability. Shelly
drew a picture of a cube, labeled the vertices,
attempted to imagine triangles on the faces
and within the cube, and then created
patterns. When the two of us sat in the back
of the classroom and quietly compared our
diff erent answers we were not confi dent that