Archives For reflection

A summary of 2013

January 4, 2014 — Leave a comment

DanaHere’s a quick run down on the annual stats for my blog according to Jetpack. For the complete report, go here.

This blog was viewed about 16,000 times in 2013. My teaching page is a subdomain of my main site, so I’m guessing that a good chunk of that 16,000 is a result of my students clicking around (but I’m not sure about that). In 2013, there were 29 new posts, growing the total archive of this blog to 63 posts.

The busiest day of the year was September 18th with 340 views. The most popular post that day was Free and Open-Source Textbooks.

The top five most viewed posts in 2013 were:

  1. LaTeX Homework Template, Aug 2012
  2. Mathematics Education on the arXiv?, Jul 2013
  3. Montessori Observations, Apr 2013
  4. An infinite non-cyclic group whose proper subgroups are cyclic, Dec 2013
  5. Euler’s Research Rules, Oct 2013

The top referring sites in 2013 were:

  1. Twitter
  2. Google+
  3. Facebook
  4. My Teaching Page
  5. Booles’ Rings

I would have expected Google+ to be the top referrer and I’m a bit surprised that Facebook made the list at all. I’m happy to see that being a part of Booles’ Rings (a network of academic home pages/blogs) is bringing some traffic this way and I hope that I’m reciprocating at least a little.

Visitors came from 114 different countries! Most visitors came from the United States, but Canada and the United Kingdom were not far behind.

The most commented on post in 2013 was Mathematics Education on the arXiv? with 26 comments. These were the 5 most active commenters on this blog:

  1. Dana Ernst, 26 Comments
  2. François G. Dorais, 7 Comments
  3. Bret Benesh, 4 Comments
  4. Simon H., 3 Comments
  5. Peter Krautzberger, 2 Comments

I guess it’s no surprise that I was the top commenter. It is worth pointing out that François and Peter are also members of Booles’ Rings.

Thanks for a fun year!

My first semester at Northern Arizona University ended a little over a week ago. Well, it wasn’t my first semester at NAU. I finished my masters at NAU in May of 2000 and then worked as an instructor for the 2000-2001 academic year in the Department of Mathematics and Statistics. Returning to NAU and Flagstaff is a dream come true for me and my family.

What have I been up since I was last at NAU?

After leaving NAU in 2001, I worked for two years as a full-time math faculty at Front Range Community College in Boulder and Longmont, CO. I loved teaching at FRCC and felt like Superman everyday when I went to work. However, I had a hankering to earn my PhD, and after my wife finished her masters, I decided to return to graduate school. I started working on my PhD at University of Colorado at Boulder in August of 2003, and under the guidance of Richard M. Green, I finished in the summer of 2008.

After completing my PhD, I spent four years as an assistant professor at Plymouth State University. PSU is a predominately teaching-oriented institution with low research expectations. Each semester, I taught 3 or 4 different courses. My teaching duties always included one section of Calculus I or Calculus II and my remaining classes usually consisted of upper-level proof-based courses.

While at PSU, I was twice awarded the Plymouth State University Distinguished Professor of Mathematics award, an honor determined by the mathematics majors. Moreover, during my last semester at PSU, I was selected as the university’s sole nominee for the NH Excellence in Education Award, which is a statewide teaching award.

It was during my second year at PSU that I first started using an inquiry-based learning (IBL) approach in my classes. My strategy has been to implement IBL in my proof-based courses first and then work my way down into the calculus sequence. Due to content pressure and class size, using a full-blown IBL approach in calculus is difficult, but not impossible. I would call my current approach in calculus IBL-lite. For me, it is a work in progress.

Despite my high teaching load, I managed to maintain a somewhat active research program. While at PSU, I published three papers and began working on a few more. In addition, I gave frequent math and math education related talks. For the last three years at PSU, I also mentored year-long undergraduate research projects.

Reflection on the past semester at NAU

The teaching load at NAU is much lower, by about half, but the research expectations are much higher. This past semester, I taught two sections of Calculus I. During my last semester at PSU, I taught Calculus II, Calculus III, Linear Algebra, and Logic, Proof, & Axiomatic Systems (which is an introduction to proof course). In addition, I was mentoring three undergraduate research students. You would think that with only teaching two classes with only a single prep, I would feel like I had tons of time to get things like research done! However, I never quite felt that way. I have to cut myself some slack since starting a new job does require some time to transition.


In my view, my teaching went well this past semester. Each of my sections had roughly 45 students, which is way larger than any calculus class I’ve taught before (or care to for that matter). The class met four days per week and for most weeks, one whole class meeting was devoted to students presenting problems on the board. This was well-received by the students and seemed to be beneficial. Unfortunately, I spent most of my time lecturing during the remaining three days per week. The students didn’t seem to mind this approach; it is what they are used to after all. However, I’d like to lecture a lot less.

Even though I’ve taught Calculus I numerous times, it required more effort than I expected to adapt to teaching at a new school with new expectations. Part of the issue is that calculus at NAU is somewhat coordinated and I didn’t want to stand out too much by doing something vastly different than everyone else. This seems overly cautious to me now. I have vague plans for how I can incorporate more IBL and less lecturing, but I still need to flesh out the details.

I held five hours of office hours per week, which were wildly popular. On most days, I had at least three students
for the full hour and it wasn’t uncommon for me to have close to ten. Office hours are my favorite part of my job! My approach is to get the students helping each other. The photos below illustrate a typical day in office hours.

Office Hours

More Office Hours

I also supervised an independent study with one graduate student (Kirsten Davis) on the combinatorics of Coxeter groups. If all goes according to plan, Kirsten will receive approval from the graduate committee and will begin writing a masters thesis under my guidance next semester. I’m excited and nervous about supervising my first graduate student.


As for my research, it has been a mixed bag. I did not manage to get much writing done and did not submit any new articles for publication. However, I have managed to get some writing done now that the semester is over and plan to submit a paper before the spring semester starts. This will make me feel significantly better. If the break was a bit longer, I could get close to having a second paper done. The goal is to find ways to be more productive next semester.

On a more positive note, I did give several talks during the semester. In fact, I gave more talks this semester than I have ever given in a single semester. Here are the details:

In addition to giving talks, I also applied for two grants, both of which are still pending.

During my last year at PSU, I applied for and was awarded a mini-grant from the Academy of Inquiry-Based Learning that provides summer salary to fund the development of IBL course materials for an abstract algebra course that emphasizes visualization and incorporates technology. You can read more about my plan by going here. Since I ended up leaving PSU, I arranged to have the grant postponed until the summer of 2013. So, technically, I’ve already been awarded one grant since arriving at NAU. Woot.

Miscellaneous Highlights

Here are a few other miscellaneous highlights from my first semester at NAU.

  • I’ve got three students lined up to do undergraduate research next semester. The details will get sorted out as we go, but the tentative plan is for one of them to work on a project by herself and for the other two to work together on something different. Regardless, the projects will be in the general area of combinatorics of Coxeter groups. I’m really looking forward to working with these students.
  • This past semester, Tatiana Shubin (San Jose State University) spent her sabbatical on the Navajo Nation. While she was there, she established several Math Circles at middle and high schools. A few weeks ago, Nandor Sieben and I traveled out to the Navajo Nation for a couple days to have Tatiana introduce us to a some of the teachers and administrators that she has been working with, as well as observe some of the circles. Beginning next semester, Nandor and I will be part of a team that will take turns visiting each of the circles in an effort to sustain what Tatiana has started and to support the local teachers that will be running them in her absence. I’m thrilled to be a part of this project.
  • Last summer, Stan Yoshinobu, Angie Hodge, and I organized a contributed paper session at MathFest titled “Inquiry-Based Learning Best Practices.” A few weeks ago, we submitted an abstract to the MAA to organize a similar session and we recently found out that our proposal was accepted.
  • Angie Hodge and I were recently designated as Special Projects Coordinators for the Academy of Inquiry-Based Learning. This position comes with a small annual stipend and our duties include spreading the word about IBL and organizing workshops and conferences like the one mentioned above. I’m extremely passionate about inquiry-based learning and I’m really looking forward to playing an active role in inspiring others to take a more student-centered approach to teaching.
  • I’m a lot like a dog. If I don’t get out for exercise, I might start chewing the furniture. I am more productive at work and a better father and husband if I’m getting regular exercise. Up until some tendonitis in my ankle slowed me down, I was doing a great job of getting outside to run, bike, or climb. In September, I ran my first 50K trail race. Obviously this isn’t academic related, but I’m proud of the fact that I’ve been able to balance work, family, and play enough to train for such an event.


All-in-all, I’d say that I had a pretty good first semester. My one major weakness is not having submitted a paper yet, but I hope to remedy this soon. It’s unfortunate that this may be the only thing that some people care about. I really enjoy doing research, but I’ll never be the world’s strongest researcher. I’m confident that I can do enough to get by (i.e., get tenure at NAU) and I am content being a well-rounded academic.

I work too much. Period. Work is constantly competing for time with family and time for exercising and playing. I feel like this semester was an improvement over recent semesters in terms of balancing work, family, and play. However, I can do better. I need to spend more time with my wife and sons. Of course I want to be the best mathematics professor I can be, but not at the sacrifice of my family. I don’t think about tenure every day, but it’s definitely more on my mind than it used to be at PSU. Having written this reflection, I feel a lot more confident moving forward.