If you’ve ever played the game Spot it!, then you know it’s both disarmingly simple and endlessly replayable. Each card features eight symbols, and between any two cards in the game deck, there is always one—and only one—matching symbol. Several variations change the mechanics, but the goal always remains the same: Be the fastest player to spot and name the matches.
What is the secret to the game? How does it work? Well—it may come down to math.
On April 29, at 7 p.m. in Dewing Hall Room 103, Sarah Koch will deliver a talk titled “Spotting the Math in Spot it!,” this year’s installment of the George Kitchen Memorial Lecture at Kalamazoo College. The lectureship provides an opportunity for mathematicians to speak about their work in a way that is accessible to high school students and math educators.
“We’ll play Spot it! and explore ways to answer various questions about the game,” promises the description for the talk. “We will discover that there is a remarkable amount of mathematics underlying this game, including a tantalizing mathematical mystery.”
Koch, an Arthur F. Thurnau Professor of Mathematics at the University of Michigan in Ann Arbor, researches complex dynamical systems, working to understand the infinitely complicated structure of beautiful fractals that emerge. She holds two Ph.D.s in mathematics, one from the Université de Provence in Marseille, and one from Cornell University. She is the director of the Math Corps at U(M), a summer camp for middle schoolers and high school mentors from Ypsilanti and Detroit, and the organizer of the Math Mondays in Ypsi Program, which has temporarily been replaced with Super Saturdays. In addition to doing math, she enjoys teaching, working with students and making kindness chains.
Spotting the Math
in Spot It!
- What: The 2025 George Kitchen Memorial Lecture at Kalamazoo College, given by Sarah Koch, an Arthur F. Thurnau Professor of Mathematics at the University of Michigan in Ann Arbor
- When: Tuesday, April 29, at 7 p.m.
- Where: Dewing Hall, Room 103
- Who: Free and open to the public
- For more: Contact Kristen Eldred at Kristen.Eldred@kzoo.edu or 269.337.7100
- George Kitchen Memorial Lecture website
Stephen Oloo, associate professor of mathematics at Kalamazoo College, said Koch was suggested as a speaker by a visiting professor who had graduated from U of M.
“I did a bit of research and could see she loves doing this kind of talk,” Oloo said. “We don’t choose just any mathematician. Our speakers are always active research mathematicians, and they like to give math talks aimed at an early high school sort of student. They like outreach. They tend to have a few talks prepared that are pitched at just the right level.”
Oloo said the math department at K communicates the intent and audience of the lectures to the speaker, who chooses his or her own topic.
“I know this talk is going to be good,” Oloo said. “It strikes me as it will probably have a lot of combinatorics, what you can think of as advanced counting, which tends to have interesting results while being very accessible. From the nature of the game, there are all kinds of interesting questions you could ask. When you deal out a hand of Spot it! cards, how many possible different combinations are there? How big does the deck have to be? If you dealt two or three or four cards, what would they have in common and different? I’m sure she’ll have some surprising things for us. Probably she’ll talk about strategy. There are probably ways to approach the game that you could figure out by studying the math.”
The lecture’s target audience of high school students honors George Kitchen, who was a local mathematician and teacher and firmly believed that a love for mathematics and its applications could be cultivated in every student. In the 1980s, Kitchen helped start a regular gathering at K of college and high school math teachers called Calculus Connection, along with John Fink, Kalamazoo College professor emeritus of mathematics.
“George was a wonderful teacher, and he was really demanding, but he would always support his students in what he demanded of them,” Fink said.
When Kitchen died, members of Calculus Connection decided to fund an endowment to support a lecture series to honor Kitchen’s memory. The George Kitchen Memorial Lecture at Kalamazoo College was founded in 1999 and has taken place every spring since, excepting a hiatus from 2020-2023 due to the COVID-19 pandemic.
“Obviously we think math is important, and math and science knowledge, education, literacy, are good things,” Oloo said. “This has been a good way to get students in the area excited about math, to show them that math is not just this dull thing.”
The talks also build local connections and help improve K’s visibility with area high schoolers. A whole community has developed over the years, with the audience often including not only math teachers and high school students and their parents, but also former students of George Kitchen as well as parents of long-grown children who first experienced the lectures when their children were in high school and continue to attend.
“I’ve seen how popular these can be, the surprising number of people intrigued by mathematical ideas,” Oloo said. “My hopes are good attendance, and that people would leave feeling like they’ve learned something—both that it was fun, and that they are now a little bit more knowledgeable.”
For example, the 2024 speaker brought a statistics and probability lens to, among other things, conspiracy theories such as the Lincoln–Kennedy coincidences urban legend that points out a large number of similarities between the two presidents, including the fact that their assassins were both known by three names composed of 15 letters.
“He was diving into the numbers, and things you encounter that seem almost spooky, but in this talk, you realize, ‘Oh, it’s not that weird.’ It’s just a function of doing the math, how many people we have on the planet,” Oloo said. “It was a great lecture where people in the audience who knew probability have thought about these things and know how the numbers work, while for many of us, it’s new, and you could learn something that actually alters how you view the world. I’m not a big statistics guy, and I left that talk armed with this new piece of knowledge. When I encounter people claiming, ‘Oh, this is a really spooky coincidence,’ now I can say, ‘No, it’s just the numbers. It’s not that weird.’”