A patronymic, by the way, is a way to identify a person's father. Russians and Kazakhs don't have middle names, just patronymics. For example, if I were Russian, I would take my father's name (Jerry) and add “ovna” because I'm a girl: Anna Jerryovna Rodgers. (It sounds even more hilarious to Kazakhs, since they've never heard the name Jerry before.) My brother, on the other hand, would add “ovich” since he's a boy: Chris Jerryovich Rodgers. People here think it's really neat that I get to have two names, my first and middle name, but they don't really understand the point. Not that I do, either, so I can't really explain it to them.
The lack of last names never stopped Kazakhs from keeping track of intricate genealogies. In fact, all Kazakhs should memorize the names of their ancestors back 7 generations. My host father made my host brother memorize this when he was little. My host father also claims that he can recite his ancestors back 20 generations, and he takes great pride in this boast. Of course, this lineage only follows the male line. So when a woman marries, she must memorize the genealogy of her husband's family so that she can teach it to her children.
My host sister, who is very artistic, recently drew a family tree. She traced her family back through the male line, including all brothers and their children, to create a beautiful graphic of all the people that are considered her relatives. As you can see from the picture, that's a lot of people! And down at the roots of the tree are written the three ancient peoples that Kazakhs claim to be descended from: the Sakans, Sythians, and Huns.