  The geometric aspects of mirror symmetry are reviewed, with an eye towards
future developments. Given a mirror pair (X,Y) of Calabi-Yau threefolds, the
best-understood mirror statements relate certain small corners of the moduli
spaces of X and of Y. We will indicate how one might go beyond such statements,
and relate the moduli spaces more globally. In fact, in the boldest version of
mirror symmetry (the Strominger-Yau-Zaslow conjecture), the Calabi-Yau
threefolds X and Y should be directly related to each other through a very
geometric construction.
