These days my daughter and I together wish to prepare a PLE in the area of mathematichs. She studies in 7th grade in a Mathematical school (13 years old). The idea is how to use a PLE for upgrading the school mathematical knowledge (I know how to organize a PLE) . But I have a problem with finding an interesting research problem in mathematics. May be in this social network there are the mathematics school teachers or parents with the same problems. Please, give me ideas how to find an enganging mathematical problem for research!