The two popular book series I hear of are Essential Elements and Suzuki.
My teacher went through the first Essential Elements book with me... we skipped around a lot, and totally skipped what she thought were the boring bits I didn't need to work on. We spent around 2 months on that book before moving on to different things.
Everyone will learn differently, what method works for one won't work for another, and at different speeds. What worked for me might not work for her next adult student, or vice versa.
You might be interested in the event we have going this Sunday, we've put it together specifically for first year students (whether they are at 0 months or 1 year) Click the picture in my signature to take you to the thread that has all the info
World's Okayest Fiddler