My daughter (22 months) and I are learning Italian together, if you couldn't tell by the translation on the bottom of my previous post ;) We are using a version of Rosetta Stone that is about 7 years old, so it's not the newest version which I hear is pretty darn cool. It's going well and the words seem to be sticking in my head a lot better than the last time I tried to learn.
Our studying goes like this, we go through the first part of the lesson once or twice. This is the part of the lesson where something is described and you pick the out the picture that matches. Since she can't read or write yet this is all she has to do. We usually do this while we drink our tea in the morning. After the lesson I look up cartoons in Italian on Youtube.
I am also using the words I know mixed in our daily conversions. For example, instead of saying "come sit at the table", I'll say "come sit at le tavelo." I know the grammar isn't correct but I figure I'm just working on the vocabulary right now and as we advance in the lessons I'll get better at randomly saying things that are grammatically correct.
For further study, for me, I continue and finish the lessons on my own while she's napping. Also, I find that it helps to keep me motivated to have blogs in Italian that I follow. I'm really liking Le Frufru and Little Emma English Home. Because I'm following these blogs I am finding Google Translate to be quite helpful.
And for some fun, here is a picture of my daughter's sand covered toes when we went to the beach last year.