"considering" means "taking everything into account" (各方面考慮起來)
these accomplishments are even more impressive considering
2014-02-11 23:28:33 補充：
This MIGHT be just a portion of the a paragraph, or even a sentence. If there are more words after "considering", then it would mean "考慮到."
2014-02-11 23:31:30 補充：
He did well considering his limitation.
2014-02-11 23:32:34 補充：
If there is NO other words after "considering", then it is better to have " , " before considering as:
These accomplishments are even more impressive, considering.
2014-02-11 23:57:56 補充：
If there is NO other words …==> If there is NO word …
2014-02-12 02:16:13 補充：
Not necessary! Sometimes, it can be used like that, but need " , "
He didn't win, but he did very well, considering.
=He did well when you consider the situation or circumstances
2014-02-12 02:18:50 補充：
Of course, this kind of use is INFORMAL. It is only when listeners can fully understand what the speaker says without using "objects" after "considering."
2014-02-12 02:19:39 補充：
In my own application, I would use "objects" after "considering."