I think the universe is trying to tell me something.
- "You wanted to see if we would stick with it."
- "You wanted to see how well we could explain our thinking."
- "You wanted to see how well we work in groups."
I tried to make them understand that mathematics is not about always knowing how to solve a problem on the first try; that mathematicians may attack a problem from several directions and may never reach the answer they sought. Mathematics is about the struggle and the persistence to continue.
My online graduate level course for the semester (technically) begins on the 21st, but he professor opened it a few days early. The topic of the class is about problem solving. In his opening remarks, the professor made these statements:
- "Problem solving, to me, really captures the essence of mathematical practice - the idea of exploration, and conjecture, and even collaboration, together with rigorous argument - that, to me is what a mathematician does."
- "Mathematics is a creative, and intellectually engaging activity. It is not a collection of dusty old algorithms. And yet, a lot of the time, we lead our students to believe that it is."
- "The value of challenge problems is that we'll be struggling. Sometimes we will be failing to solve them, and that's fine."
- "Mathematicians don't work by themselves; they work with collaborators."
- "You're going to feel frustrated more than you're going to feel successful, but that frustration is valuable."
- "We shouldn't hide our struggles. We want to normalize our struggles. Struggles are important; hiding it creates a fear of failure. So, let's celebrate our failure."
Scrolling through Twitter early this morning (before any sane teacher would have been awake after the first week of school) I ran across this image in a tweet from Anna Vance (@TypeAMathLand) that echoed the professor's statements.