  A careful study of the classical/quantum connection with the aid of coherent
states offers new insights into various technical problems. This analysis
includes both canonical as well as closely related affine quantization
procedures. The new tools are applied to several examples including:
  (1) A quantum formulation that is invariant under arbitrary classical
canonical transformations of coordinates;
  (2) A toy model that for all positive energy solutions has singularities
which are removed at the classical level when the correct quantum corrections
are applied;
  (3) A fairly simple model field theory with nontrivial classical behavior
that, when conventionally quantized, becomes trivial, but nevertheless finds a
proper solution using the enhanced procedures;
  (4) A model of scalar field theories with nontrivial classical behavior that,
when conventionally quantized, becomes trivial, but nevertheless finds a proper
solution using the enhanced procedures;
  (5) A viable formulation of the kinematics of quantum gravity that respects
the strict positivity of the spatial metric in both its classical and quantum
versions; and
  (6) A proposal for a nontrivial quantization of $\phi^4_4$ that is ripe for
study by Monte Carlo computational methods.
  All of these examples use fairly general arguments that can be understood by
a broad audience.
