Friday, February 20, 2026

 The article, Learning to Love Math Through the Exploration of Maypole Patterns, explores what happens when non-math majors are invited into mathematics through collaboration and curiosity rather than correct answers and rigid problem solving. Student Julianna Campbell writes alongside her professor Christine von Renesse to describe how a maypole dance became the entry point for genuine mathematical inquiry. The class explores the patterns ribbons make when dancers weave over and under each other, ultimately asking: how many non-equivalent ribbon patterns are possible given a certain number of dancers and colours? Along the way, students embarked on an extremely rich mathematical journey, developing their own definitions, conjectures, and proofs—they even invented visual tools like the “tree representation” to sketch patterns without having to physically dance them every time. Remarkably, the mathematical results the students produced were quite rigorous—they developed proofs and theorems that would hold up in any math classroom, not just a liberal arts one.

My first stop was the list of meta-goals in the classroom pedagogy section. They made me passionately exclaim, “Exactly!” These aren’t content goals—they are attitude goals: building confidence, encouraging curiosity, developing a positive relationship with mathematics. This is vitally important because I am convinced that attitude is the starting point for any real change in mathematics education. If students and teachers continue to see math as something to survive, no curriculum, no matter how creative, will reach them. I’ve also seen how easily math becomes something to minimize—shortened periods, or entire strands like measurement compressed into a single day and ticked off a list. It makes me wonder what messages we send students about what mathematics is and what it’s worth. The goals Professor von Renesse lists feel like what every math classroom should aspire to, and yet they’re rarely stated so plainly. While these goals reshape what we value in math classrooms, the article also shows how those values are lived out in practice.

My second stop was the detail about the English professor and the Math professor modeling being students together in each other’s classrooms. There’s something quietly radical about that. When teachers show students what it looks like to not know something and stay curious anyway, they’re giving permission. Permission to struggle, to ask basic questions, to begin. I think we underestimate how much students are watching us—not just for content, but for how we behave when things are hard. Julianna’s story is a perfect example of what becomes possible when that permission is genuinely extended.

The moment that genuinely moved me—my biggest pause—was when Julianna describes admitting,“I don’t even understand the concept of a factor. Why is it a factor?” and then writes, “I will never forget Professor von Renesse’s reaction–she was almost thrilled” (p.134). That line made me surprisingly emotional. A teacher’s response in that exact moment can change everything. How many students have asked a question like that and been met with impatience— or worse, been made to feel foolish? And how many mathematical identities were quietly shaped in that instant? I keep thinking about what it would mean for students if confusion was met not with frustration, but with genuine excitement. In many ways, that one response—thrilled, not irritated—captures the heart of the entire article.

My question for discussion: Think about a time in your own math education when you admitted you didn’t understand something. How was that received and how did it shape how you showed up in math class after that?

References
Campbell, J., & Von Renesse, C. (2019). Learning to love math through the exploration of maypole patterns. Journal of Mathematics and the Arts, 13(1–2), 131–151. https://doi.org/10.1080/17513472.2018.1513231

3 comments:

  1. Kristie,

    Both of the ideas you raised on developing interest in math rather than focusing solely on academic goals, and giving students permission to struggle and ask questions really resonated with me. I strongly agree with both. Your point about permission to struggle especially stood out, as it reminded me of Francis Su’s chapter on freedom, where students are encouraged to explore, question, and imagine without fear.

    Your discussion question also brought to mind an experience from my practicum. I once asked my sponsor teacher, “How should I respond when a student asks a question that I don’t know the answer to?” Her response was simple but powerful: be honest, say you don’t know, and invite students to explore the question and report back next class. This answer had left me haunting as I used to think that teachers are not allowed to not know the answers. Nevertheless, I think it’s important for us, as teachers, to have the courage to admit that we are still learners too. Modeling curiosity and openness can help create a classroom culture where not knowing is seen as a natural and valuable part of learning mathematics.

    ReplyDelete
  2. Kristie,

    Firstly, thank you for such an in-depth response this week. I really enjoyed your summary and stops you took along the way.

    I recall distinctly struggling horribly with 3-D geometry in around 8th grade. I cannot recall exactly the topic we were studying, but I do remember not feeling supported in understanding. I was exceptionally socially conscious and shy as a student. This resulted in feeling horribly uncomfortable in seeking teacher help. But, I rally did not understand the math. I approached him during a work block and told him I did not get it. Sadly, this is one of those stories where the teacher explains things again the same way it was originally taught, and I still did not understand. I smiled, nodded, failed the unit exam and moved on.

    But each year as 3-D geometry presented. Or topics in physics, or thinks that require spatial awareness presented, my abilities lagged further. This continues to be something I struggle with today. I cannot blame any one interaction or teacher, but simply know that fear was a massive contributing factor as to why I was not able to seek help.

    ReplyDelete
  3. Kristie,
    First, I just want to say how much I appreciated the honesty in your opening. Showing up sick and still engaging with the ideas feels very human. We don’t compartmentalize ourselves; we arrive as whole people.
    I also appreciated that instead of abandoning the idea when you couldn’t physically try it, you leaned into watching, listening, and imagining. Reaching out to Miranda directly showed such curiosity. What a thrill that she answered!
    Your reflection that imagination may be the true entry point into mathematics really stayed with me. That shift from compliance to participation is everything.
    And the idea of being “almost thrilled” by confusion made me pause too. This is something we need to model more, because that is where inquiry can begin. How differently might students experience math if confusion were welcomed as the start of insight rather than something to fix?
    Your goal of one movement lesson a week feels thoughtful and sustainable. It doesn’t feel rushed or performative; it feels intentional.
    This week really did push the idea that math isn’t just something we calculate. It’s something we inhabit.
    Thank you for sharing such a reflective and generous post

    ReplyDelete