The Special Course on Didactical Mathematics was really an intensive course in learning mathematics and in learning a special way to teach undergraduate mathematics. The first day gave in addition to the pre-material the background of the methods. That Thursday also opened the eyes to understand the theoretical background of the method. I wondered already here, how important part of the method is the cooperative learning.

Friday and Saturday gave the personal experience in ISETL-environment. From piece to piece it was easier and easier to program in ISETL-language, which no doubtly was near the normal mathematical language. The way that exercises started from very easy examples helped very much to get familiar which the environment. Also no-one were thrown away from understanding in the beginning. I think that kind of starts should be used more common in computer aided courses.

Exercises we got came pretty fast harder and harder. It was of course normal, because we were not studing for instance the whole abstract algebra course, and abstract algebra was not really familiar to me. The moving ahead was surprisingly logical. And we, the students had to think and understand the proofs and other things ourseleves. Without that it was not possible to program and go ahead. Heterogenious groups helped much; for instance one could help the others to understand a mathematical structure and an other could program and use the computer better. And even there were situations, in which we compared our argues and had to ground our argues. When we discussed about the proofing, we had to understand the parts of it or we started understand them. Some(many)times tutorial help was needed. And I believe that finally understanding started to arise more and more from everyone's own mind.

Also the cooperative way to learn showed its own power. And especially in that kind of learning enviroment we had. Even though among the constructivist learning methods (especially in the radical way) the knowledge is everyone's own mental structure, the other ones and programming really helped to build the logical (right) knowledge web in the mind.

Even though the course was especially for undergraduates’ teachers, it was helpful for me who is nowadays studing to become an elementary school teacher and studying mathematics as the second subject. I think that the most important thing was to acquaint ourselves with the method. And I feel that I found the basic idea of that kind of learning in mathematics. And I think that the thing I have studied learning by design - computer aided learning environment - helped me, and gave me some reflections, too. If I could transfer the method straight into my teaching, it won’t probably be the best way. When I have to think things in a bit different environment, I have to do that actively and more deeply.

I feel that the intensive course was definitely worth to go it through. The course put me to think things again and again. And the course gave an impressive structure to think the learning mathematic and searching it.

And finally the course gave me more motivation to mathematics again. And I am even just reading the articles of Constance Kamii, too.