Summary of Campbell & Von Renesse – Learning to Love Math Through Explorations of Maypole Patterns
Campbell and Von
Renesse explore how mathematical understanding can emerge through embodied,
collaborative exploration using Maypole dancing and ribbon weaving as a medium.
Rather than beginning with abstract notation or symbolic representation, the
authors position movement and colour as entry points into structural reasoning.
As students repeat crossing movements around the
Maypole, woven patterns emerge that show repetition, rotation, and movement
across the design.
The article emphasizes
that learners often discover mathematical structure before they have formal
language to describe it. As dancers rotate and interlace ribbons, visible
patterns emerge that reflect underlying algorithms. Each change in movement
sequence produces a new woven structure. In this way, choreography becomes
geometry, and repetition becomes mathematical reasoning.
A key theme in the
article is joy, not as entertainment, but as intellectual engagement. Students
are not passively following rules; they are constructing them. They experiment
with colour order, crossing sequences, and movement rhythm. The resulting
patterns are not decorative accidents; they are the frozen traces of embodied
mathematical decisions.
Ultimately, the article argues that mathematics can be experienced as relational, aesthetic, and communal. Movement becomes a legitimate pathway into abstraction.
Three “Stops” While
Reading
Stop 1 – I Had to
Illustrate the Patterns to Make Sense of Them
As I worked through
the woven Maypole images, I realized that I could not understand the patterns
by simply looking at them. I had to draw them. Recreating the structures
allowed me to isolate repeating units and identify strand directions.
Rather than reading
the colour sequences horizontally, I began tracing structural paths and
searching for rigid shapes that repeated. The act of drawing shifted my
thinking from noticing colours to identifying generative rules.
Illustrating the
patterns became a form of mathematical reasoning. It forced me to slow down and
reconstruct the logic embedded in the weave.
I began to struggle when I reached Figure 20, so I reorganized the pattern in my mind using letter notation. Labeling the sequence as BB BB WR helped me isolate where that structure actually appeared within the image. Instead of scanning the pattern visually, I traced the sequence systematically to locate its repetition. Once I adopted this strategy, I continued using it with all the remaining figures. Creating my own simplified representations that matched the assigned letter sequences made it much easier to identify the structural logic of each pattern. Reconstructing the images in this way allowed me to see the repetition more clearly and understand how the sequence generated the overall design.
Stop 2 – It Felt
Like Tetris
At one point, the
patterns began to feel like a Tetris game. I found myself identifying composite
blocks small rectangular units that could rotate and translate across the
pattern. Instead of reading strings like BB BR GW, I began seeing rigid shapes
that interlocked.
This shift changed my
perspective from linear sequence to spatial transformation. I began thinking
about rotation, translation, and symmetry rather than simple repetition. The
patterns were not just alternating colours; they were tessellations generated through
movement.
Stop 3 – A
Cartesian Plane Might Have Helped
Another pause came
when I wondered whether placing the patterns on a Cartesian grid would clarify
the structure. If I could mark repeating intersections and locate centers of
rotation, I might more easily identify the translation vectors and symmetry points.
Some patterns were
easy to sit with; others required sustained concentration. I imagined
physically cutting out shapes and placing them on a grid to test rotational
symmetry. This reflection revealed how embodied mathematics and formal geometry
could support each other rather than exist separately.
Reflections on the
Videos
The videos reinforced
the idea that mathematics lives within movement.
The early video
featuring adults reflecting on childhood mathematics revealed how deeply math
is embedded in lived experience: cooking, knitting, climbing stairs in
different configurations, playing with geometric toys. Movement and structure
often precede formal naming.
Malke Rosenfeld’s Jump
Into Math! talk was particularly compelling. Watching her create rhythm
with her feet demonstrated how mathematical relationships can be heard and
felt. Rhythm becomes number. Timing becomes ratio. Her classroom integration of
body percussion shows how conceptual understanding can be strengthened through
coordinated movement.
The Rhythm of Math
videos further emphasized this idea. The clapping sequences required intense
concentration and collaboration. The 3-against-4 rhythm made proportional
reasoning tangible. You could hear the mathematics at work.
The string and sword
dance videos connected most directly to the Maypole reading. Watching dancers
maintain a closed loop while executing precise sequences highlighted the
algorithmic nature of movement. The patterns were not accidental, they were
generated through rule-based choreography. The visible concentration on the
dancers’ faces reinforced that maintaining structure requires attention to
sequence and symmetry.
Across all videos, one
theme remained consistent: movement makes structure visible.
Final Activity
Reflection
Adrienne Clancy –
Dancing Rotations
Adrienne Clancy’s
discussion of rotation, including the Earth’s 23.5º tilt, reframed rotation as
lived experience rather than static diagram. Watching her embody rotation
emphasized that angles, axes, and symmetry are not merely drawn; they are
enacted.
This resonated deeply
with my own classroom practice this week.
I read Pitter
Patter Pat to my Kindergarten–Grade 2 students in the library. The book
explores patterns in time, nature, and dance. After reading, we stood together
and created a simple movement pattern involving clapping, stomping, and
jumping. The students physically enacted the pattern.
In that moment,
mathematics was not abstract. It was rhythmic, communal, and embodied.
Our school is
currently focusing on respect for self and others, including body awareness.
Movement-based mathematics supports this work. Coordinated rhythm requires
listening, awareness of space, and attention to others.
This week affirmed
that mathematics is part of the palette of choreography. It shapes how we move,
how we see structure, and how we understand the world. Whether through Maypole
weaving, rhythm, sword dancing, or children’s storybooks, mathematical ideas
emerge through embodied engagement.
It resonated with me when you said: "A key theme in the article is joy, not as entertainment, but as intellectual engagement. Students are not passively following rules; they are constructing them." The difference between students passively receiving and then repeating rules verses students exploring and creating through intellectual engagement is so stark. This difference is key to intellectual engagement leading to joy, which is really such a beautiful reflection of how we are all created! When we passively copy, the learning because tedious drudgery.
ReplyDeleteIn my own teaching of secondary students I have noticed that my grade 9 students have more fun and are more willing to engage in intellectual exploration driven by curiosity. By grade 11 the students are so obsessed with their grades and future university applications that even teaching them feels tedious because all they want is the fast pass to get through to university.
Like you, I loved the dancing rotations video. Angle measures are something that is difficult for students to understand, and I can see how experiencing the angle (instead of just looking at it) could deepen understanding. Even the act of finding the 23.5 has so much math reasoning like choosing a reference point, bisecting angles, etc.
Tracy,
ReplyDeleteI also read the same article, and I appreciate your focus on the joy of math, not as entertainment, but as real intellectual engagement. The students weren’t just having fun weaving ribbons; they were constructing rules, testing patterns, and making decisions that had visible mathematical consequences.
I really liked that you mapped the patterns out on grid paper. That shift from embodied experience to structured analysis feels like such an important mathematical step and it mirrors the struggle the class had in the article when they were trying to invent a representation that would actually capture what was happening.
Your Kindergarten–Grade 2 example with Pitter Patter Pat was lovely as well. Clapping, stomping, and jumping together as math feels so natural and communal. It’s such a different starting point than symbols on a page. I also appreciate how you connected this to your school’s focus on respect and body awareness, coordinated movement really does require listening, space awareness, and attention to others. It’s math and community-building at the same time. I also appreciate that you did this in the library, moving math from just inside the class into other spaces and places.
I like the Pitter Patter Pat activity with K-2 kids. It is always hard to get kids sit silently, listen and read. However, it is easy to get kids moving, collaborating, and dancing together!
ReplyDelete“In that moment, mathematics was not abstract. It was rhythmic, communal, and embodied.”
I can resonate with this idea of how senses are used in learning from the previous readings. Math is becoming something tangible to students at this moment, so students can start to feel the connection with math.
I agree with what Kristie and Nicole said above that it may be hard to get senior students engage into such activities compared to little kids. This is something I really want to work on since I teach in secondary schools and most of my students are too stressed out about marks and post-secondary applications. I wish to develop some similar activities and let them have fun and relax instead of being intense in learning all the time. I guess the dancing rotation idea can be a good one for stretching in the breaks as well ---- get students out of the seats and do some exercise!