Thanks for the stimulating discussion - I am going to summarize what I think you told me about fractals so that I can tell if I got the idea. Please correct me if I have it wrong :-)
Fractals are self-similar objects/patterns such as a line of telephone poles in perspective, rivers branching, or an artery structure, except that they branch infinitely. At the intermediate level any kind of in-depth discussion can not take place because there is some significant math involved in the generation of fractals, however, if nothing else, the kids could be exposed to what they are and could do some simple activities involving them. Sometimes Self-similar patterns do not lead to fractals. The word `fractals' mean that they have non-integer fractal dimensions.
Are the iterating patterns in Pascal's Trianlge an example of fractals?
Again, let me know if I got any of this wrong :-) Eileen