When you assign a variable (x = ...), you are creating a variable in the current scope (e.g. local to the current function). If it happens to shadow a variable fron an outer (e.g. global) scope, well too bad – Python doesn’t care (and that’s a good thing). So you can’t do this:
x = 0
def f():
x = 1
f()
print x #=>0
and expect 1. Instead, you need do declare that you intend to use the global x:
x = 0
def f():
global x
x = 1
f()
print x #=>1
But note that assignment of a variable is very different from method calls. You can always call methods on anything in scope – e.g. on variables that come from an outer (e.g. the global) scope because nothing local shadows them.
Also very important: Member assignment (x.name = ...), item assignment (collection[key] = ...), slice assignment (sliceable[start:end] = ...) and propably more are all method calls as well! And therefore you don’t need global to change a global’s members or call it methods (even when they mutate the object).