Changes

:I like your idea about problems in the math articles.  The issue here is that it's difficult to come up with problems on the fundamental group that could really be answered at this level.  An exposition at this level doesn't give the reader the knowledge to solve any real problems.  I don't even prove what the fundamental group of the circle is -- a proof requires much more theory than is in the article, but the intuition is clear.  I could ask for intuitive guesses about fundamental groups, but just about every space that a new reader knows about is given as an example already!  I will try to think something up, I'm sure it can be done.

:I like your idea about problems in the math articles.  The issue here is that it's difficult to come up with problems on the fundamental group that could really be answered at this level.  An exposition at this level doesn't give the reader the knowledge to solve any real problems.  I don't even prove what the fundamental group of the circle is -- a proof requires much more theory than is in the article, but the intuition is clear.  I could ask for intuitive guesses about fundamental groups, but just about every space that a new reader knows about is given as an example already!  I will try to think something up, I'm sure it can be done.

:In the article [[differential geometry]] which I did a bit of work on a couple weeks ago, I inserted "motivating questions" in a few places, to indicate why someone would care about it.  I can certainly do this in the fundamental group article.  Actually, I was thinking that on the front page [[mathematics]], it would be neat to put motivating questions under all the headers you created, to give a flavor of these areas of mathematics. What do you think of that idea? --[[User:MarkGall|MarkGall]] 09:33, 4 July 2009 (EDT)

:In the article [[differential geometry]] which I did a bit of work on a couple weeks ago, I inserted "motivating questions" in a few places, to indicate why someone would care about it.  I can certainly do this in the fundamental group article.  Actually, I was thinking that on the front page [[mathematics]], it would be neat to put motivating questions under all the headers you created, to give a flavor of these areas of mathematics. What do you think of that idea? --[[User:MarkGall|MarkGall]] 09:33, 4 July 2009 (EDT)