Is it common to claim co-authorship by helping writing a paper without doing any research
people who help write papers may help fulfill one of the pillars of scientific discovery... communication of the science.


There is an appropriate place to credit people who read your paper and offer useful comments on it: the acknowledgement section. It is very common to see acknowledgements "for providing valuable feedback", "for suggesting a cleaner presentation", "for pointing out important related work" and so on. Even "for providing a simpler proof of Lemma X.y". 

None of this rises to the level of co-authorship. 

What's worse in this case is that 


  At the end, he will claim the co-authorship of the paper. 


While I'd find the idea of co-authorship for such contributions odd, I would not think too much about it if it were negotiated in advance (as is the theme of many of the answers on this site). But to offer what appears to be unconditional help first and then (when the student really has no choice in the matter)  to demand co-authorship is plain wrong. 

To answer your last question on what to do, the answer, as is always the answer, is to negotiate things up front. It's a little awkward, but a little pre-collaboration awkwardness is MUCH better than a lot of post-collaboration recrimination and hostility.