Regarding what my students learned as a result of exploring fractals-I am afraid you will have to take my professional observations. I do not have a check off list of what discrete skills my students grew more competent in, such as long divisions, or time/rate problems. I can tell you that my students greatly increased their conceptual knowledge of infinity, they also got a preview of some problems they will revisit in the future. They displayed perseverance as problem solvers, which I believe strengthens their ability to solve all problems. They also got a glimpse at what they rarely see-the beauty of mathematics. They wrote thoughtful responses and were able to predict what fractals would look like in future generations of iterations. This may not sound like much to you, but I was delighted with their efforts and results.