When importing to Eclipse project, I accidentally did:
BAD: Import...
>> General
>> Existing Proejcts into Workspace
when I should have done instead:
GOOD: Import...
>> Android
>> Existing Android Code Into Workspace
Removing the project imported with first method, and then re-importing it with the second method solved the problem for me.
(Others have written similar answers but I didn't get it until the explicit comparison.)