Friday, March 6, 2026

Week 8 Readings: Math & Poetry and Novels

Reference: 

Glaz, S. (2019). Artist interview: JoAnne Growney, Journal of Mathematics and the Arts, 13(3), 243-260, DOI: 10.1080/17513472.2018.1532869


Abstract: 

The interview and the ten poems authored by JoAnne Growney presented in this article reflect on the various influences and events in JoAnne’s journey through a life that includes both mathematics and poetry. The interview was conducted by Sarah Glaz in the summer of 2017 at the Bridges conference in Waterloo, Canada, where Sarah was present as the coordinator of the annual Bridges mathematical poetry readings, and JoAnne attended as an invited poet at that reading. This article is a result of the interview and several follow-up discussions.


Summary:

Sarah Glaz conducts an interview of JoAnne Growney organizing the interview into structured themes surrounding poetic works that accompany life lessons. We learn about JoAnne's upbringing, her perspectives and values (as well as those of Sarah Glaz). A key theme that is brought up is that everything is connected


Stop 1:

"She would come into English class and she would say, ‘Guess what I watched on television last night?’ And then she would start to tell something she learned from a TV show. The big idea that I got from her is that you can learn from everything that you do. I treasure that so much." (Glaz, 2019, p. 248).

This quote really resonates with me. The openness to receiving a lesson from daily experiences, reflecting on it, and communicating that to others. I don't see this behaviour very often around my colleagues and students in the 2020's - I do witness escapism, avoidance, tolerance and reluctance. I think modeling 'learn from everything you do' behaviour is important so those who see you as a role model have something valuable to emulate. This year I have asked my students to keep a reflective journal to write in at the end of certain lessons to reflect on big take-aways (or little ones).


Stop 2:

The entirety of the section corresponding to "Everything Connects". This section shows such insight.

Growney demonstrates the connection between three seemingly unrelated articles in the New York Times through her creation of the poem Filling the Vacuum. As an Earth Science and Mathematics teacher, I am constantly trying to teach in a multidisciplinary way bringing in influences and subjects that show students subjects in school aren't meant to be isolated, and natural phenomena reduced into separate streams of study. Everything connects is the central theme that Growney has discovered over years of growing up on a farm, being religious then not, getting a PhD in mathematics, then a MFA in poetry. She has seen the academic and working life from a range of perspectives. With her positionality explicitly stated in this interview, her subjective statement "everything connects" has much weight. 


Stop 3: 

"My interest in these connections became aroused partly by the location of my office. For a stretch of time, the Math Department and the Art Department shared an area at my University. And so, I became very much interested in visual art, for which I had never had opportunities before. I had been a reader. Then I learned a lot about art and artists. I asked questions and went to art exhibits." (Glaz, 2019, p. 250).

Growney speaks to another connection I try to make in my daily life. Creating an environment where potential reactions can occur. I think of this like chemical reactions that require perfect geometry, energy and opportunity for collisions to be successful - be it an ionic solution or protein synthesis in a cell. 

This connection from Growney about being (physically) close enough with the Arts department that she was often exposed allowed her to develop a love for it... which changed her path of life!  

I recently read an article about the loss of our 'third spaces' and how we, as society, are suffering from an epidemic of loneliness. When in school, opportunities to connect are taken for granted. When graduated, one needs to actively seek out new opportunities to connect and build - first - familiarity, then acquaintance, then friendship. In the classroom, I randomly generate a weekly seating plan that provides the students an opportunity to work together for geometry/energy/collision of friendship. This mindset has really helped me combat complaints when working with students who want to sit with pre-established friends. 

This was not the exact article, but does breakdown the key points in bullets from an American perspective: https://www.newporthealthcare.com/resources/industry-articles/third-places/ 


Stop 4: 

"I was astounded by what Sharon Olds said. Not just saying that it has too many words, but assigning a number. Yet I have found that this happens to me when I read a poem aloud, that is when I get the feel of how many words may need to be eliminated." (Glaz, 2019, p. 251).

This connects with so many things in life. Growney is referring to Sharon Olds' statement "[My] poem has one-third too many words." and then in a future poem Growney writes, "poems also we make by erasing.". 

When we draw, we reserve space using geometrical shapes that are substitutes for volumes taken up by body parts (see fig below). Our final drawing involves a few lines surrounding those shapes and a whole lot of erasing of the structural foundations! 

Source: https://cdn8.openculture.com/wp-content/uploads/2015/02/26191525/How-to-Draw-Batman-Step-by-Step.jpg

Our drafts, course papers, and articles are only completed after the word count has been reached (usually by erasing/condensing/rephrasing/paring). It's the same for poetry it seems. Mike Naylor's poem Entirely Nothing came to mind where he reduces the poem by one third after each stanza. (Video below starting at 2:30)


In science, we have several theories and hypothesis for natural phenomena. Reducing our best guesses through refining and testing until we have a finished product: a theory... that maybe one day becomes a law if not disproven.

I can see a strong connection between this concept and EDCP 551 (MfSJ) in that all data (qualitative/quantitative) is objective. The moment we start filtering (erasing) and selecting, being choosy, setting limits and criteria on what 'counts', the data becomes subjective. Our graph or table, or visualization of the selected data (the poem) becomes a subjective piece of art from a creator to an audience. I can see why positionality is important - saying "this artwork is the only truth" is quite close-minded given the plethora of experiences we all navigate. 


WONDER: 

In the article, Growney mentions reading Derek Walcott as part of her literary studies in class. Many poems a day for weeks. Her first few, she didn't like... but after weeks of exposure and analysis, and by giving it a lot of attention, she developed an appreciation. 

As humans, we judge experiences quickly so we can determine if it is safe/threatening and whether to continue doing it. Perhaps, the first exposure to each of these is like trying new foods, and students cannot develop a taste for it unless already pre-disposed via personal interest (ie. "Stella has been a writer since she was 7, she loves mathematical poetry", or "James has done hip hop since he was 5, he loves the mathematical dance lessons").  

Are we doing a disservice to our students by providing shallow exposures to various topics (poetry, dance, music, art, etc) for different mathematical topics? Should we focus our efforts on providing a consistent experience of, say, math & dance analysis for our students so at the end of the day they eventually develop an appreciation for the intricacies involved? 




Wednesday, March 4, 2026

Week 8 Activities + Connections

Poetry has several connections to mathematics. A great example would be its rhythm highlighted with emphatic stressors on particular syllables in certain poetic forms. Other forms encourage syllable counts or rhyming schemes that follow a symmetrical or structured pattern. 

Viewing the Bridges 2025 roster. I read:

Jim Wolper and his caunchy poem called Harmonic Series. After learning the structure of the caunchy poem, I understood the repeated beginnings. What I still am confused about is the "(Omit # of lines beginning with "Too ____")", these numbers must have a significant meaning in terms of the harmonic series which I haven't googled.


Tammy Douglass-Westergard's Crossings inspired by Knotted Strapwork Strands in a Penrose-Type Girih Pattern” by Joseph I. Cline, Proceedings of Bridges 2025: Mathematics and the Arts, Pages 61–68.
Although I haven't read the paper, the content of the poem itself really resonated with me.

Kate Jones's Stomachion, the Quest is a four-stanza four-line poem with a rhyme scheme AABB per stanza. It was inspired by an ancient puzzle studied by Archimedes. The referenced puzzle in the poem was constructed by her and her colleagues. 

and Climate Extinction (2024) is a multi-stanza four-line poem with the same rhyme scheme as above inspired by Svante Arrhenius, a Swedish scientist whose work helped show carbon dioxide is responsible for global warming.

Alice Major's (2024) Three-Body Problem is a beautiful and sad poem about the instability of orbit of a three-body problem as an analogy for relationships.

I've really enjoyed the poems that contain not just a form with a mathematical structure that produces predictability (ie. comfort), but also contains topics of science or environmentalism. Science - along with mathematics - is another field that would traditionally not be connected to the world of the arts. 


The Fib

One of our tasks this week is to write mathematical poetry. Specifically, a "fib" (below) and a PH4 (below below).

According to Glaz (2021), "a Fib is a special case of Fibonacci poem, a poem of 6 lines whose syllable line count follows the first 6 numbers of the Fibonacci sequence: 1;1;2;3;5;8.

Without reading any examples, I want to try creating one to see if I understand the form, then check myself later. 

Growth.

Struggle.

The same?

Is one negative?

Why do we struggle to grow?

Or do we grow to eventually enjoy struggle?

OK. The poem above does not follow the structure as I mis-remembered the "syllable line count" as "word count". After reading some of the examples from the Poetry in the Glade: 2021 Fib Collection (2022), I made some with the thoughts that were floating in my head:

Thinking Mathematically

Start.
Read.
Entry.
Introduce.
Attack artfully.
Reasonably check solutions.

Double Standard

What
is 
anger?
Privilege.
A feeling men show.
Unequal judgement; women hide.

Choices

Last
course
choices.
Frustrating
and inconvenient.
yet another thing to juggle.

Juggling

Toss.
Toss.
Catch, catch.
To yourself.
Notation reveals:
A new pattern: 5-5-5-1!

Quick reflection of the process: 

I enjoyed creating them. I would rate them at the same level of enjoyability as developing Haiku. Although we have more lines, the first few one-syllable words can be playful either revealing the topic as a pseudo-title, or mislead the reader to generate an interesting conceptual twist at the end. To get a sense of the rhythm, I feel it is important to read each line with breaks even if the idea is broken up between a few lines. 


Plain Hunt 4 (PH4)

"A Plain Hunt is a basic bellringing permutation where the ringing of any particular bell tracks diagonally across the sequence over time 0 a permutation that maps onto a simple multi-strand braiding pattern. The Plain Hunt on 4 (PH4) takes four initial symbols (or bells, or threads, or words) and swaps spots for the two end pairs and then the middle pair recursively, resulting in 8 distinct permutational patterns before the four initial symbols return to their starting positions" (Gerofsky, 2020, p 274).

As part of my project with Kristie Truell, we have a 4! permutational pattern in swordplay that I would like to start as my first trial: 

Mandritto Fendente

Riverso Sottano

Riverso Fendente

Mandritto Sottano

Riverso Sottano

Mandritto Fendente

Mandritto Sottano

Riverso Fendente

Riverso Sottano

Mandritto Sottano

Mandritto Fendente

Riverso Fendente

Mandritto Sottano

Riverso Sottano

Riverso Fendente

Mandritto Fendente

Mandritto Sottano

Riverso Fendente

Riverso Sottano

Mandritto Fendente

Riverso Fendente

Mandritto Sottano

Mandritto Fendente

Riverso Sottano

Riverso Fendente

Mandritto Fendente

Mandritto Sottano

Riverso Sottano

Mandritto Fendente

Riverso Fendente

Riverso Sottano

Mandritto Sottano

Mandritto Fendente

Riverso Sottano

Riverso Fendente

Mandritto Sottano

Neat! It worked out :) I might try to do a visual representation as visual PH4 instead. 


After reading the poem examples from Dr. Gerofsky (2020), I really wanted to be playful with my word combinations. I first thought of separated words that put together mean something new or different like "light" and "street" then in a different order "street-light". Journey came to mind: "street-lights, peeeeeople, livin' just to find e-motion!" 

Then, I went onto Google and searched up an excellent resource for words/concepts like this... Wheel of Fortune. Category: Before and After. That led me to my teaching and personal interest: Space.
My four words are: International / Air / Space / Station.


ISS

International air, Space station.
Air-International, station space.
Air station in International space.
Station air, space: International.
Station space, air international.
Space station in International air.
Space international station air.
International space air station.
International air space, station.

Quick reflection:
As exciting as the initial discovery of the words were and how they could go together. My excitement quickly left in favour of a potential new discovery with other words that are not so planned out. Another interesting observation: after a while, the word space started to look (spelling) and sound wrong. I had to double check I was writing and saying it properly. 


Journey (to catch)

Searchlight, street-people!
Light search of People St.
Light people search the street.
People on Light Street search.
People streetlight search.
Street-people searchlight.
Street search for peoples' light.
Search street lightly people!
Search Light Street people!

Quick reflection: 
Although this was my initial gut instinct to try, I folded for something more methodical. Turns out, I should go with my gut! I really enjoyed how this one played out. There were three different streets to search down. Different kinds of people, and light was used as an adjective and adverb. It was really neat!!! I'm going to stop writing so I can ride this creative high for a little while longer. Another interesting observation: after a while, the word street started to look and sound wrong. It was like I had never actually heard the word before and the mouth movements were foreign. I asked myself "is that really what we named that empty space used to drive cars and travel on?"

Just for fun, I asked DALL-E 3 to generate an image based on my poem:






References:
Gerofsky, S. (2020). Two new combinatoric poetry forms: Braided bellringing PH4 poems & anagrammatic, Anglo Saxon-inspired poems. In E. Torrence, B. Torrence, C. H. Séquin, J. M. Sullivan, & R. Bosch (Eds.), Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture (pp. 273–280). Tessellations. https://archive.bridgesmathart.org/2020/bridges2020-273.pdf 

Glaz, S. (January 2022). "Poetry in the Glade: Bridges 2021 Fib Collection," Journal of Humanistic Mathematics, 12(1) pp. 467-500. DOI: 10.5642/jhummath.202201.35. 





Monday, March 2, 2026

Week 7: MoMath - Juggling & Mathematics

 This was a very interesting presentation by Colin Wright and MoMath.


A few really interesting concepts that were talked about: 

  • There are notations for juggling. The numbers represent the beats you throw to yourself in the future. The timing must average the number of balls you are juggling.

  • A "1" is passing a ball between hands. A "2" is throwing to your same hand (or holding on to the ball). A "3" is a low arch. A "4" is a low arch to the same hand. A "5" is a high arch to opposite hand. 

  • Negative numbers are possible. They require having a ball on the side that will enter and exit your juggling pattern. 

  • Having equal beats into the future creates symmetry.
    Equal = same beat = same height. 

  • JugglePro - a program developed by Colin Wright allows you to suggest juggling animation using the integers for how far you throw into the future.

  • https://www.jugglingedge.com/help/siteswapanimator.php?Pattern=441 

  • Some terms I learned: Cascade, Excited start pattern, Grounded start pattern, Shower, Amicable numbers (220 & 284).