I started reading the book "Topology without tears" by Sidney A Morris and lecture notes on "Elementary Number Theory" by WWL.Chen. To get the maximum out of the book and understand the material completely and thoroughly, I started to write the important propositions and definitions along with working out every single exercise on my blog.
I am wondering if this is a good way to go about. The reason for why I am asking this is, it is time consuming. Should I work out problems and exercises using pen and paper (or) can I write them out on my blog since the latter involves bit more time than the former? Are there any specific advantages for doing mathematics on blog as opposed to pen and paper?
Another question on these lines is does doing math on pen and paper allows a person to be more creative and think better than doing mathematics on a blog? This question is motivated by a bbc video on Fermat's last theorem which I watched today. In the video, Andrew Wiles says, I quote
"I never use a computer. I sometimes scribble... I do doodles... I start trying to... find patterns really. So I am doing calculations which try to explain some little piece of mathematics. I try to fit it in with some previous broad conceptual understanding of some parts of mathematics. Sometimes that involve going and looking up in a book to see how it is done there. Sometimes it is a question of modifying things a bit. Sometimes do a little extra calculation and sometimes you realize that nothing that has ever been done before is of any use at all. You just have to find something completely new. And its a mystery where it comes from".
I am wondering if doing mathematics on a blog allows the same degree of freedom as doing mathematics on a pen and paper.