Have exercise to do with very advanced students. Have to put various link words into various categories...most are self-explanatory....however/therefore that sort of thing.
I am left with 2 that neither I nor the students are sure about 
"To summarise...." is that reaching a conclusion, sequencing, giving an alternative (clearly not), giving supporting information or explaining?????
Most people I have asked have plonked it into "reaching a conclusion" because I suppose you tend to put a summary into a conclusion........But is a summary a conclusion in and of itself? I don't think it is....I wonder if it might be "explaining" (because surely, you're going back and paraphrasing what you've said before?