Hi Artem,
Keren (the author of this piece) says:
I would take one of two approaches. I would do the user stories on white boards with stickies. As the PM, you can facilitate the discussion and ask the participants to outline the user story details on post-it notes on a white board. Take a picture and then distribute the picture. This way you are seen as a leader, helping drive productive discussion, and the information is still being captured and shared.
Or, I would pull your agile project management tool (i.e., jira, assembla) up on a projector and type in the user story details directly into the system. The key is to project what you are doing so people can follow and align on the fly.
I hope those two strategies help!