Why is there a difference between inspect.ismethod and inspect.isfunction from python 2 -> 3?

So this code:

from inspect import *

class X(object):
  def y(self):
    pass

methods = getmembers(X, predicate=ismethod)
functions = getmembers(X, predicate=isfunction)

print("%r" % methods)
print("%r" % functions)

From python2.7 yields:

[('y', <unbound method X.y>)]
[]

and from python3.3 yields:

[]
[('y', <function X.y at 0x1006ee3b0>)]

I've nosed around, but I can't see any obvious reason for this change in behavior.

Specifically, why is python 3 treating my method as a function?

Is there any cross-runtime way of fetching the list of methods on a class?

(ie. something that returns the same when run on both python2.X and 3.X)

Edit: Example of getmembers() not working:

from inspect import *

class X(object):
  def y(self):
    pass

methods = getmembers(X)
for i in methods:
  if ismethod(i):
    print("Method: %s" % str(i))
  else:
    print("Not a method: %s" % str(i))

Prints:

Not a method: ('__class__', <attribute '__class__' of 'object' objects>)
Not a method: ('__delattr__', <slot wrapper '__delattr__' of 'object' objects>)
Not a method: ('__dict__', <attribute '__dict__' of 'X' objects>)
Not a method: ('__dir__', <method '__dir__' of 'object' objects>)
Not a method: ('__doc__', None)
Not a method: ('__eq__', <slot wrapper '__eq__' of 'object' objects>)
Not a method: ('__format__', <method '__format__' of 'object' objects>)
Not a method: ('__ge__', <slot wrapper '__ge__' of 'object' objects>)
Not a method: ('__getattribute__', <slot wrapper '__getattribute__' of 'object' objects>)
Not a method: ('__gt__', <slot wrapper '__gt__' of 'object' objects>)
Not a method: ('__hash__', <slot wrapper '__hash__' of 'object' objects>)
Not a method: ('__init__', <slot wrapper '__init__' of 'object