Generics are really new to me, and catching on has been a bit confusing.
The Sun tutorial is like a man page - you gotta read it a few times and
I've been too impatient to do so.  I've actually been reading through
the java.util.EnumMap code to get a better grip on things.  Since all
my googling didn't turn up an example of how to pass enums (and EnumMaps),
I figured I'd post it here for others if they have the same question.
Some of the recent threads on this topic were very helpful to me, but
I still needed to put it all together.

If anyone sees anything stupid (or any suggestions for improvement,
please let me know).

import java.util.*;

public class TestEnumMap {

 enum ThreeD { X, Y, Z }

 public static void main(String[] args) {

   double dval;

   EnumMap<ThreeD, Double> xyz =
                     new EnumMap<ThreeD, Double>(ThreeD.class);

   xyz.put(ThreeD.X, 5.0);
   xyz.put(ThreeD.Y, 10.0);
   xyz.put(ThreeD.Z, 15.0);
   System.out.println("Not Passed");
   for (ThreeD i : ThreeD.values()) {
     dval = xyz.get(i);
     System.out.println("" + i + ":  " + dval);
   }

   printVals(xyz);
   printVals(ThreeD.class, xyz);
 }
 public static void printVals (EnumMap<ThreeD, Double> em) {
   System.out.println("Passed, but with just the EnumMap:");
   double dval;
   for (ThreeD i : ThreeD.values()) {
     dval = em.get(i);
     System.out.println("" + i + ":  " + dval);
   }
 }

 public static <K extends Enum<K>> void printVals(Class<K> keyType,
                                            EnumMap<ThreeD, Double> em) {
   double dval;
   K[] keyUniverse = keyType.getEnumConstants();
   System.out.println("Everything Passed");
   for (int i=0; i<keyUniverse.length; i++) {
     dval = em.get(keyUniverse[i]);
     System.out.println("" + keyUniverse[i] + ":  " + dval);
   }
 }
}

- Kurt