I don't think 「把」 means "the" in Chinese...
Usually 「把」 comes up with an object or some stuff.
Take ur sentence for an example:
「把」那隻笔給我，「那隻笔」is the object in this sentence.
It's more like if you want to put the object before the subject,
you should add 「把」 before the object,
so that the object is "posessed by" the subjuct. (I know possessed is a strong word)

Therefore, to me,「把」is a word you need to add in this kind of inversion sentence.

Personal opinion. :)

把把把把把把把

今天何时我起床的，累死了。不想去学校上课.
但是，我很高兴去了大学。在棵老师教我们大约“把“。老师的例语是：“请给我那只笔”和“请把那支笔给我”。最初我和我的同学不懂了,但是有时以后我懂了，问老师“把的意思是英文的the吗？我把“把”当做“the”吗”。
她说了“对！”。今天以前我和同学不想用把了，
可是我觉得把有别的意思。我得继续中文学习。

please save me from my terrible Chinese.