Thanks, Pat, Very nicely written.

I would ask what areas of mathematics the participants involved in this dialogue are associated with as my years of experience with mathematicians, scientists, computer scientists and engineers from a wide range of Universities around the world convinces me that we too often only hear from one side in this debate about what math professors see, hear and want from students. I have a colleague who every Fall would call me and complain that despite the A’s on their transcripts the students he is getting in for his PhD program cannot think, problem solve or create… what is wrong with the math programs they are in….? So where does he fit at this roundtable discussion? ]]>

In this case we weren’t problem solving for the activity in and of itself, but instead for the sake of our students. I’ll remember this next time.

]]>