Students finding strength in numbers
Top image: The 2023 Colorado Math Circle team that competed in the American Regions Mathematics League national competition, coached by program alumnus Thomas Davids (far left, holding plaque). (Photo: Silva Chang)
Started by CU Boulder applied mathematics Teaching Professor Silva Chang, Colorado Math Circle is celebrating 20 years of bringing middle and high school students together in a community that has fun with math
It’s not always easy to be the student who does math for fun.
Even if the other kids aren’t weird about it, they still might not understand, so sometimes it can be easier to just brush it off. “Oh, math? Yeah, it’s OK.” But no, math is wonderful.
When one of Silva Chang’s high school teachers showed her a brochure for the six-week Hampshire College Summer Studies in Mathematics (HCSSiM) program, she wasn’t necessarily doing math for fun in her free time, but she was very good at it.

Silva Chang, a CU Boulder teaching professor of applied mathematics, was inspired to start the Colorado Math Circle in part from her high school experience in the Hampshire College Summer Studies in Mathematics program.
“I think he knew that I needed to get out of the city,” recalls Chang, a University of Colorado Boulder full teaching professor of applied mathematics. “My parents were not college educated, they didn’t speak English, so I think he saw it as an opportunity that would open up my worldview.
“(HCSSiM) was a program where we did math 24-7, and it was the most fun I’ve ever had. I can say I wouldn’t be doing what I’m doing today if I hadn’t had that experience. (The program) was transformative, it made math really fun, it made it silly, it presented math as an art form that’s not just useful for practical applications, but that’s beautiful by itself.”
Chang’s experiences at HCSSiM inspired her 20 years ago to start the Colorado Math Circle, an extracurricular organization that offers opportunities and mentoring for middle and high school math enthusiasts around Colorado. Further, she was interviewed about how HCSSiM inspired her for the documentary “Hunting Yellow Pigs,” of which there will be a free screening at 3:30 p.m. Sunday, Nov. 2, in Benson Earth Sciences room 180.
“I knew of certain students along the Front Range—all top students, some nationally ranked—and I wanted to be able to bring them together so they would have peer support,” Chang explains of starting Colorado Math Circle in 2005. “Some students can find peers, but some can’t. If you say, ‘I enjoy doing math problems all day,’ people might laugh at you, and you might try to hide that interest. I thought there should be a place where students didn’t have to hide their enthusiasm for math.”
‘Come and enjoy math’
For Chang, an interest in math grew from attending John Dewey High School in Brooklyn, New York, a school with a nontraditional pass/fail grading system and a longer, eight-hour day that allowed students to take more classes and explore their interests.
Chang’s parents had emigrated from southeast China, and while they may not have been intimately familiar with the vagaries of the U.S. educational system, they knew that education led to opportunity, Chang says. However, when Chang’s teacher suggested she attend the six-week HCSSiM, her parents initially didn’t understand the significance.
With some parental convincing and bolstered by her membership on a New York City-wide high school team of top math students, Chang applied and was accepted. Initially, her family was asked to pay a small amount to attend, “and my parents said no. They didn’t have a lot of money, but I don’t think that was their reason. They were nervous about me leaving home. So, someone from HCSSiM called me up and said, ‘You turned down the acceptance, can you tell us why?’ and I said the reason was financial, so they offered a full scholarship.”
HCSSiM was started by Hampshire College founding faculty member David Kelly, who died June 20. Program organizers describe it as “college-level mathematics for talented and highly motivated high school students. It is demanding and expanding. Participants spend a major portion of each day actively engaged in doing mathematics (not simply learning the results of mathematics).”
“(David Kelly) was running the program when I attended in the 1970s, and he set the tone,” Chang says. “He just made it fun. Some of us were coming from more competitive or grade-oriented backgrounds, but his perspective was, ‘Come and enjoy math. Math is fun, math is beautiful, get what you can out of this program, take away what you can.’ They were teaching fairly high-level math, but it wasn’t competitive at all. It was like, ‘Let’s all do math together, let’s all learn together.’”
Creating a community

Participants in the Colorado Math Circle engage in a hands-on math learning activity. (Photo: Silva Chang)
After Chang came to CU Boulder and her children entered high school, she began thinking that she’d like to create a program similar in spirit and practice to HCSSiM, where students could come have fun doing math with others who love it, too. She also thought about the New York City-wide math team of which she’d been a member and wondered if there was a way to combine the two.
In 2005, she began contacting Front Range high schools and students to assemble a 15-member team that would compete in the 2006 American Regions Mathematics League (ARML) national math competition at the University of Nevada. The team won first place in its division that year “and that was very motivating,” Chang recalls, “because we were competing against teams from around the country.”
Colorado Math Circle has sent a team comprised of students from around Colorado to that competition every year since, but after that first year Chang thought it was important to create a place for students who may not want to compete but who want to get together to do, discuss and learn math.
During the school year, students either come to the CU Boulder campus or participate in weekly problem-solving Zoom sessions. Initially created with a focus on high school students, Colorado Math Circle grew to include middle school students and help those who are interested prepare for the MATHCOUNTS competition.
“The first year we were more focused on preparing for competition, but after that we expanded it to a place where students could come learn about a variety of math topics,” Chang says. “Members of my department have come to give talks about their work, and we’ve been doing it long enough that we have math circle alumni coming back now.”
For the first 17 years of Colorado Math Circle, Chang was the sole director, but now program alumnus Thomas Davids serves as co-director and ARML coach.
In its 20 years, Colorado Math Circle has steadily grown; last year, more than 110 students from 45 Colorado schools participated. Over the years, students from as far as Grand Junction, Pueblo and Rangely have participated. “We don’t draw many students from any one school—the two largest are Fairview and Cherry Creek—it’s often one student from one school,” Chang says. “The main goal of the Colorado Math Circle is to teach students math, yes, and teach them problem-solving skills, but what we really provide is a community.
“These students teach themselves a lot of math, so the need we fill is helping them to create a community of friends who love math, too.”
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