Student (Mathematical) Modeling Competition

Note that if you mention to professors outside the sciences that you are judging a student modeling contest, you may want to be a little more specific.

This spring, Hood fielded a team for the SIMIODE math modeling competition, graciously hosted by our friends across town at Frederick Community College. And due to some scheduling issues, the professor who served as coach for the team couldn’t be there the whole time, so I stepped in for the afternoon portion. Even though mathematical modeling with differential equations is about as far out of my wheelhouse as you can get, it was a really fun day, and I got to see some really creative solutions to some challenging problems.

Students working on modifying their model, photo courtesy of Lucy Yagodich

The competition begins a week before, when teams are presented with their choice of three situations to model. The two popular choices in our session were one on modeling high school group dynamics, and another on designing a chute in a recycling plant that would separate paper and cardboard from the rest of the recycling stream. They spend a week coming up with an appropriate model for their chosen scenario, writing an Executive Summary, and creating a ten minute presentation. On the day of the competition, the students submit their summaries for judging. Also, to keep it interesting, the students are presented with a slight twist to their problem, and given a few hours to incorporate that twist into their model.

After a lunch break, the students compete in a short Math Bowl, give their presentations, and the judges assign honors based on the summaries and the presentations. It was an intense day for the students, but they all seemed to enjoy the process, and got valuable experience about how design and communicate models of real world situations. And while the students are busy, the accompanying faculty can participate in some professional development centered around teaching modeling.

Student Presentations, Photo courtesy of Lucy Yagodich

Our students didn’t take the highest honors, but they got some valuable experience right before graduation. And all the faculty members involved enjoyed coaching their teams and watching all the presentations. All solutions and presentations are available on the SIMIODE website.

The next competition is coming up this fall, from October 19th to October 27th. Many schools have already volunteered to be host sites, and if you don’t see one near you it’s not too late to become a host. SIMIODE provides all the materials for the professional development and the student activities, so all you need to provide are space, lunch, wifi, and some facilitation.

 

 

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‘Tis the season for Pi Mu Epsilon induction ceremonies

Our PME induction! On the far right is Pi Mu Epsilon President Dr. Paul Fishback, who came to the department for the ceremony.

Early this spring, two students approached me about starting a chapter of Pi Mu Epsilon at Colorado College. PME is the main Mathematics honor society in the US.  Started at Syracuse University in 1914, it has now spread to 398 other Mathematics departments (spoiler: CC is now the 399thchapter).  When they came to me, I was willing to help the students, but I wasn’t necessarily convinced this was my top priority for the department. My undergraduate department didn’t have PME, and my (very incomplete) understanding of the organization was that its main role was to send certificates and purple and gold honor cords to students with high GPAs. I knew that many departments have a nice talk and awards ceremony once a year for the PME honorees, which I like and have been honored to participate in, but I didn’t have much of a sense of any pressing reason to start a CC chapter.  But, as I said, the students were into it, and advising student chapters of SIAM and AWM has taught me that honest, spontaneous, student enthusiasm for an activity is not to be taken lightly, so I try to never let it fizzle when it appears. I started looking into it.

What I found was that PME is actually a pretty neat organization.  Aside from the certificates and cords, PME offers students opportunities and assistance, in the form of money to bring in speakers, to run conferences, and for students to attend conferences—especially MathFest, where PME has a whole session of undergraduate speakers and activities for undergraduates to build community and enjoy math.  They have a non-trivial application process for new chapters, and want to know that the department is really supporting its undergraduates in mathematical scholarship.  They do want details, including things like the last ten mathematics books our library has purchased.  Though the students created the bulk of the application, getting this initial petition together took me a fair amount of time, too.  This was a great way to avoid doing research on my recent research trip. Luckily, my wonderful colleague Molly Moran stepped in and took over once we had submitted the petition, and the whole experience got a lot more fun.  I really like advising student groups, but I like it waaaaaaaay more when I am sharing the joy with a great colleague.

We got the application mostly finished in March, and sent it off to Paul Fishback, Professor at Grand Valley State University and President of the national organization. Since it was so late, it didn’t seem likely that we would be able to get everything together and actually induct members this year, but Paul wanted the senior students who had worked hard on this to be able to reap the benefits, so he and the executive board of PME fast-tracked our application.  It moved so fast that we had to hurry to keep up.  Somehow, Dr. Fishback managed to arrange a trip to CC to coordinate with his family vacation in New Mexico, and he presided over our induction ceremony on Friday!  He gave a great short talk about the history of and opportunities offered by PME, helped us welcome the new members, and had us all say the PME pledge at the end (which feels quite silly but the content of which is entirely positive, inoffensive, and fun, and saying it certainly does make the whole thing feel like a ceremony). The students were really jazzed about the whole thing!  In fact, we all were. We are already plotting how to send as many students to MathFest as possible.

The PME application was a bit of work, but (like so many other things in my life) if we had started earlier it would have been very manageable.  I came away from the ceremony feeling like our department was now just a little bit more connected to the larger mathematical community, in a way that offers real benefits for the students and is actually focused on undergraduates as a first priority.  According to AMS Annual Survey listings, there are around 1350 Mathematics and Statistics departments in the US, so that means about 30% of math/stats departments have a chapter now.  So, I would like to throw this out there as a very worthwhile thing for those of you who don’t have a chapter now, as well as those departments whose PME chapters have gone dormant. The organization even has funds specifically targeted to bring speakers to existing chapters that could use a boost. Early-career people with limited time may especially appreciate that this is a well-supported, structured, and fairly simple way to do some service in the department and get involved with students.

This was also a great excuse for my department to have cake and coffee together.  I’m pretty much living on cake and coffee for these last two weeks of class, so that was good for me.  For everyone teaching this spring, good luck with the end of the year!  I’ll write more when I have finished teaching, graded my finals, and had a whole lot of great sleep.

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Teaching What You (Really) Don’t Know

When I first started teaching intro statistics during my postdoc, someone recommended the book Teaching What You Don’t Know, by Therese Huston.

Full confession: like pretty much every professional development book anyone has ever recommended to me, I haven’t read it. Maybe this summer? I’ll be teaching our senior seminar on math history in the fall, and I could use some advice.

I didn’t read the book, but I did take Carolyn Cuff’s fantastic MAA Minicourse on teaching intro statistics, and I muddled through just fine. But it took a lot of prep, and there were more than a couple times I didn’t feel confident answering my students’ questions. By about my third time through, everything came together pretty well, and now I love teaching stats.

Deep Dream of Electric Sheep by Calhoun Press, original image by 3268zauber, CC-BY-SA

This semester, another department was in a bind. A professor had a major health issue and was going to be out for several weeks. They’d covered all his classes but one: a machine learning course for bioinformatics students. All their leads for substitutes had come up dry, and they asked if the math department knew somebody.

And because I still don’t know how to keep my mouth shut and want to help people out, I said that I knew a bit about machine learning and could probably fill in for a few weeks.

Oh, and the course is in R, a language I’ve played around with, but never for long enough to get really fluent, and even that was a couple years ago. But hey, I’ve been meaning to get better with R. No better way than immersion, right? It’ll be fun!

That was the end of February. The original instructor is recovering, but won’t be back until after the end of the term. So I’ve spent the last two months teaching a topic I understand in the abstract but haven’t used much in real life to students who don’t know much abstract math but will have to apply it anyway.

Y’know, phrased like that it doesn’t seem too different from most classes I’ve ever taught.

I’ve spent an insane amount of work preparing for this course. Luckily one of the textbooks already chosen for the course, Machine Learning with R by Brett Lantz, is useful and well written. It features lots of tutorials that let premade packages do all the heavy lifting, so the students can focus on data preprocessing and interpreting the results. I’ve also revisited the Coursera Machine Learning course by Andrew Ng to refresh my memory and give my students a little more mathematical depth than the book provides, without overwhelming them with linear algebra. And I’ve found a bunch of great online tutorials: Markov models and hidden Markov models for DNA sequence generation, how to turn R into MATLAB, and how to predict who would survive the Titanic disaster. And I’ve finally gotten a chance to play around with resources like the UCI Machine Learning Repository and Kaggle.

I’ve enjoyed this new challenge in my teaching. This semester is my 10th anniversary of teaching at the college level, and it was refreshing to have a brand new topic that keeps me on my toes and won’t let me even try to phone it in. And I think I’ll even use this new breadth of knowledge to do some research. A colleague in the humanities here wants to analyze a massive poetry data set, but he doesn’t have the technical background to implement anything fancy. My school values interdisciplinary work, so this project will benefit both of our cvs, in addition to just being fun and interesting. And of course the extra money’s nice, though being paid at the per-course rate is a needed reminder of just how dire life can be in the adjuncting world.

Even with all those upsides, I’m not sure if it’s been worth it. This was supposed to be a pretty light semester for me, where I thought I’d finally get some decent research done. I haven’t so much as opened a manuscript since February. And it’s been a ton of extra stress and a return of all those old imposter syndrome feelings, just when I was starting to shake it.

So maybe the biggest thing I’ve learned this semester is that sometimes I really should just keep my mouth shut.

 

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