Two Days into a Four-Week Statistics Course

June in New York City, on the way into an intensive summer teaching rhythm.

This summer I am teaching MAT 1272, an introductory statistics course compressed into just four weeks. Sixteen class meetings. One entire semester packed into sixteen mornings.

At the same time, I am trying to keep research projects moving forward before July conference deadlines arrive. Balancing teaching and research is always part of academic life, but summer courses have a unique intensity. There is very little time to waste, and every class meeting matters.

What is remarkable is that we are only two days into the course.

Just two class meetings.

Yet it already feels as though we have covered a tremendous amount of ground. In those first two days, we have discussed descriptive statistics, statistical inference, variables, populations and samples, parameters and statistics, qualitative and quantitative variables, and discrete versus continuous variables. We have also started organizing and visualizing data through bar charts and histograms. These may seem like simple topics, but they form the foundation for everything that follows in statistics.

Before students can analyze data, they must learn how to describe it, organize it, visualize it, and communicate what it means.

A quiet moment between teaching, research, and the pace of summer in the city.

One of the highlights of the course has been the group work. Students come from a wide variety of backgrounds and experiences, and it has been exciting to watch them engage with one another's ideas. Discussions often take unexpected and interesting turns. This week, for example, students have already begun grappling with the distinction between a sample statistic and a population parameter. They are starting to understand that while we may know the average of a sample, the true population mean often remains unknown.

Those are important moments because they signal the beginning of statistical thinking.

The first day of class also brought an encouraging surprise. A student who had previously taken the course approached me at the end of class to introduce herself and tell me that she appreciated my teaching methodology. As instructors, we never really know what students will remember from previous experiences, so moments like that are especially meaningful.

This summer I have relied heavily on the blackboard. There is something timeless about developing ideas step by step in real time, allowing students to see the reasoning process unfold. Eventually I will project visualizations and technology-based demonstrations, but for now the old-school approach seems to be working well. Chalk, dust, and all. The students seem to appreciate it, and the classroom conversations have been lively and engaging.

Chalk, dust, and statistics: the old-school classroom is still alive and well.

At some point, the TI-84 Plus calculators will make their appearance in the classroom. For now, however, the focus is on concepts, language, and interpretation. I want students to understand what a histogram represents before asking a calculator to create one, and to understand the difference between a sample statistic and a population parameter before pressing a button to compute a numerical value. Technology is an important tool, but it is most effective when it supports understanding rather than replacing it.

I've also been fighting a cold and have spent much of the week feeling under the weather. Teaching an intensive four-week course leaves little room for slowing down, however, and the positive energy in the classroom has made it easier to push through.

Perhaps my favorite part so far has been getting to know the students. I am still learning names, and they have been amused by some of the memory tricks and mnemonics I use to remember them. There is a good atmosphere in the classroom. Students seem appreciative, engaged, and willing to participate.

What makes me happiest is hearing them begin to use statistical terminology naturally. Words such as population, sample, parameter, statistic, qualitative variable, quantitative variable, histogram, and distribution are already finding their way into classroom conversations. These may seem like small victories, but they represent the beginning of statistical literacy. Students are asking thoughtful questions, debating ideas during group activities, and becoming more confident in their reasoning.

Tomorrow is already our first quiz.

That fact alone captures the pace of a four-week summer course. We have only met twice, yet students have already learned a substantial amount of new material and are preparing to demonstrate their understanding.

Time moves quickly for all of us. One student will be graduating next week, while another will be starting a master's program at the Graduate Center this fall. Other students are balancing work, family responsibilities, and their own academic goals. It is a reminder that every classroom brings together people at different stages of their journeys, each moving toward something new.

Before long, these sixteen class meetings will be behind us as well.

For now, I am grateful for a classroom full of curious students, thoughtful discussions, and the opportunity to spend June exploring statistics together. Only two days have passed, yet the classroom already feels alive with questions, new ideas, and aspirations for the future. It has been an exciting start to the summer.