So the learning of Thai just took a new direction. I ordered a book called Thai for Beginners, which is set up like a textbook. There are lessons, vocabulary to remember, and tests/quizzes at the end of the sections. This is the kind of thing we have been looking for to really understand the basics of the language. The rosetta stone program, which we have been using, is great for in-context understanding and overall language, but lacks the fundamentals and principles that we need. This, I think, is the answer. The boring, black and white, rote memorization is the structure upon which a language is learned- at least for an adult.
I am satisfied with my new book.