Learning Math by Productively Failing
This article details some interesting experiments that researches are doing to try to improve students ability to understand math concepts. In the article, it is explained that researchers are giving students math problems where they are to struggle and probably fail in trying to answer the question, but through their investigations students learn what questions they actually need to ask in order to solve the problem. Students also are now invested in the question, so that they are ready to receive instruction on possible methods of solving the question. It is pretty good educational "stuff."