remember doing sth.的意思是“记得做过某事（做完了）”。与remember to do sth.不同，remember to do sth.是忘记了去做某事（事情未做）。remember sb doing sth.意思是“记得某人做过某事”。

I remember turning off the light, why are they on now? 我记得关了灯，为什么它们还亮着。

I remember handing in my homework，but it still in my school bag. 我记得上交了我的家庭作业，但是它还在我的书包里。

I can't remember doing it so I can't deny it. 我不记得我有没有做过这样的事，所以我不能否认。

Don't you remember telling me the story yesterday? 难道你不记得昨天已经讲过这个故事了吗?

Don't you remember seeing the man before? 你不记得以前见过那个人吗?