Rote Learning?

Many lessons begin with me introducing myself as Birdie (with a bird puppet on my hand):

"Hello, my name is Birdie. What's your name?"

They tell me their names as I go around the circle, and sometimes they say the whole thing, but usually they'll just say their names, and I'll correct them:

"Jack."
"Say, 'My name is Jack.'"
"My name is Jack"
"Good."

So today this girl comes up to me (not during class) with some other rug rat with her. She says to me,

"Čia mano brolis. Jo vardas my name is Jonas. Bye bye!"
("This is my brother. His name is my name is Jonas. Bye bye!")