What Thomas said ... or ...
What you are missing is that the binding is really looking at the DataContext. However, you can set the source differently in several ways.
... MyCollection? - ; . , . DataContext. DataContext , , DataContexts , , .
, , DataContext. , . RelativeSource.
{Binding MyCollection RelativeSource={RelativeSource FindAncestor, AncestorType={x:Type Page}}}
, Binding, RelativeSource Type.
RelativeSource . ( ). RelativeSource , . , . , MyCollection.