I agree, if your goal is to teach rigorous proof techniques. However, if your goal is to introduce the topic to someone, this[1] is a much better way of going

I agree, if your goal is to teach rigorous proof techniques. However, if your goal is to introduce the topic to someone, this[1] is a much better way of going about it. This is what separates the great math teachers from the mediocre ones; anyone can "teach" the definition, but only a handful are able to truly own the topic and introduce it in a simple and straightforward manner. [1] http://stackoverflow.com/questions/487258 http://stackoverflow.com/questions/487258