Teaching Math with Poetry -- Some Activities

      The Journal of Humanistic Mathematics (JHM) offers delightful and broad-ranging connections between mathematics and the arts.  An article that I discovered recently considers ways to use poetry in mathematics classes.  Found in the July 2023 issue, "Teaching Mathematics with Poetry: Some Activities,"  by Alexis E. Langellier (an adjunct professor of Computer Science at Moraine Valley Community College and a graduate teaching assistant at graduate student in Mathematical Sciences at Northern Illinois University).  Working toward a degree in Computer Science, Langellier has this intent:  My goal is to get more women in STEM.

A Must-Read Journal -- Humanistic Mathematics

    One of the very special online resources for connections between mathematics and poetry (and also other art forms) is the Journal of Humanistic Mathematics.  Edited by California mathematicians Mark Huber of Claremont McKenna College and Gizem Karaali of Pomona College, this free-access journal has online issues published each six months -- available here.

     Poetry of many different forms is available in JHM -- and a poem from the January, 2023 issue that I enjoyed rereading recently is "Mathematics" by Northwestern Math Professor Kim Regnier Jongerius -- a poem inspired by the song "Memories" from the musical Cats and describing some of the joys and frustrations inherent in doing mathematical work.  I offer one of its stanzas below and I invite you to go here (to the JHM website) to read more.

     from    Mathematics     by Kim Regnier Jongerius

     Mathematics!
     I must wait for an insight
     Try to think of connections
     That I haven't before.
     When the day breaks with no solution coming to me
     Then my courage sinks to the floor.

Enjoy all six stanzas of the poem here in JHM.

THANK YOU, Jongerius and JHM for sharing thought-provoking words.

A Nine-Sided Diamond

   One of my much-appreciated math-poetry connections is with Scott W. Williams, a Professor of Mathematics at SUNY Buffalo and author of many scholarly papers and many poems.  In a recent issue of the Journal of Humanistic Mathematics (JHM) I found (and valued reading) his "Impossible Haiku" -- a series of Haiku-stanzas that play with the Collatz Conjecture -- an unproven belief that for any starting number these two steps, performed in appropriate succession, eventually reach the number 1:

   If the number is odd, multiply by 3 and add 1; if the number is even, divide it by 2. 

Williams' "Impossible Haiku" may be found at this link.      Another mathy poem by Williams (found here at his website) that I especially value is the one that I offer below -- a poem dedicated to his mother.

THE NINE-SIDED DIAMOND by Scott Williams 

More Math-Poetry from JHM

     Every six months a new issue of the open-access online publication, Journal of Humanistic Mathematics, becomes available.  And -- among lots of other inclusions -- it offers a rich variety of mathy poems.   Here is a link to the table of contents of the latest issue -- and I strongly suggest that you visit and explore.  Math-poetry items, listed at the bottom of the TC, are shown in the screen-shot below:

"A Mother's Math is Never Done"

     In just a few days (on May 8) we will celebrate Mother's Day 2022 in the US.  And I am thinking back to the July 2018 issue the Journal of Humanistic Mathematics  -- a special issue with the theme Mathematics and Motherhood.   One of the poems presented in that issue is "A Mother's Math is Never Done,"  a sestina by JHM Editor, Gizem Karaali -- and I offer its initial stanza below, followed by a link to the complete poem.

A Mother's Math is Never Done    by Gizem Karaali

Beyond dark clouds is the blue sky.
The day will come to do your math,
Once you put away the clutter.
Someday again you know you'll fly.
Now's not the journey's end, just a detour on the path.
Only today, hold your breath, for you are a mother.     

 Go here for the rest of this sestina.  Enjoy especially the final stanza!!

The entire "Table of Contents" for Mathematics and Motherhood is available at this link.   

New issue -- Journal of Humanistic Mathematics

     The online, open-access Journal of Humanistic Mathematics (JHM) publishes new issues twice each year -- and the first issue for 2022 is now available and is rich with math-poetry offerings.  One of the fun items is a folder of Fibs, featuring contributions (with email contact information) from:

Tatiana Bonch-Osmolovskaya, Gerd Asta Bones, Robin Chapman,
Marian Christie, Marion Deutsche Cohen, Stephen Day,
Carol Dorf, Susan Gerofsky, Sarah Glaz,
David Greenslade, Emily Grosholz, JoAnne Growney,
Kate Jones, Gizem Karaali, Lisa Lajeunesse,
Cindy Lawrence, Larry Lesser, Alice Major,
Kaz Maslanka, Dan May, Bjoern Muetzel,
Mike Naylor, Doug Norton, Eveline Pye,
Jacob Richardson, S. Brackett Robertson,
Stephanie Strickland, Susana Sulic,
Connie Tettenborn, Racheli Yovel.

And the current JHM issue contains five more poems -- thoughtful and thought-provoking: "What's So Great About Non-Orientable Manifolds?" by Michael McCormick, "Wrong Way" by Joseph Chaney, "The Solipsist’s First Paper" by Sabrina Sixta, "Heuristic or Stochastic?" by E Laura Golberg, and "So Long My Friend" by Bryan McNair.

In closing, I offer here a sample from the folder of Fibs, this one written by Gizem Karaali, one of the editors of JHM.

               Where does math come from?
                         If
                         You
                         Want to
                         Do some math,
                         Dive into the depths
                         Of your mind, climb heights of your soul.

Thank you, Gizem Karaali, for your work in humanizing mathematics!

JHM -- a rich source of mathy poems

      Every six months the Journal of Humanistic Mathematics offers a new online issue and includes a generous offering of mathy poems.  Here is a link to the current issue (Vol, 11, No, 2, July 2021) and I offer --after a sample, which features a type of algebra problem -- the titles, authors, and links to JHM mathy poems.

    Train Algebra      by Mary Soon Lee

     Do not use a calculator. Show your work.
     Haruki leaves Chicago Union Station at 10:42 pm
     on a train traveling at 60 miles per hour.

     At 10:33 pm, Haruki boards the train.
     He’s abandoned his job,
     his collection of cactuses;
     has only his cell phone, his wallet,
     and a dog-eared paperback.
     He walks through two carriages
     before finding an open seat,
     apologizes as he sits down
     beside a woman his mother’s age.
     The woman glares at him. 

Journal of Humanistic Mathematics -- new issue

      Recently released, Issue 1 of Volume 11 (2021) of the Journal of Humanistic Mathematics;  in it Editors Mark Huber and Gizem Karaali have collected for us  a wonderful selection of articles -- including a work of fiction, a folder of teaching limericks, and the following very fine (and mathy) poems:

"Early Morning Mathematics Classes"     by Angelina Schenck

       "Proof Theory"      by Stan Raatz

"One Straight Line Addresses Another Traveling in the Same Direction 
     on an Infinite Plane"       by Daniel W. Galef

       "Turing's Machine"      by Mike Curtis 

"Iterations of Emptying"      by Marian Christie 

Go here to JHM Volume 11 to explore, to enjoy!

Seeking wisdom in mathematical Haiku

 During these difficult pre-election coronavirus days I have been turning to poetry, and especially favoring -- for their brevity -- Haiku.  The January 2018 issue of the Journal of Humanistic Mathematics offers a folder "Math in Seventeen Syllables:  A Folder of Mathematical Haiku" -- with more than thirty poets sharing poetic insights using this ancient form.  Here is one, by Laura Kline, that spoke to me today:

          Peaceful living and
          Nicely balanced equations
          How we long for both

For more mathy Haiku, follow this link to the results of a blog-search using "Haiku".

Celebrate the Journal of Humanistic Mathematics

     Recently Vol.10, No.2 of the online Journal of Humanistic Mathematics has become available online.  This issue is a "Special Issue on Creativity in Mathematics" and the richly varied Table of Contents is available at this link.

Seven of the articles feature poetry with links to mathematics; these are:

     Poetry Folder:     Mental Logic: Two Poems     by Ashley Delvento
                           Natural by Design     by Craig Steele

     Poetry:         four seasons (haikus)     by Stephen Luecking
                    Dear Arithmetic     by Mary Soon Lee
                    Galileo's Verse     by Bruce F. McGuffin
                    Hexagons     by Barbara Quick
                    Changes and Deltas     by Jim Wolper

And here are a couple of samples: 

Journal of Humanistic Mathematics--a TREASURE

     Online and available FREE, the Journal of Humanistic Mathematics is a wonderful source of poems and stories and articles that connect mathematics to life.  Thanks to editors Mark Huber and Gizem Karaali who lead the effort to bring us new issues each January and July.  Here is a link to the Table of Contents for the July 2019 issue.   Included in this issue is a thoughtful article by Sarah Mayes-Tang entitled "Telling Women's Stories:  A Resource for College Mathematics Instructors" -- and, related to this, here is a link to postings in this blog found using a SEARCH for "mathematics and women and poem."  (Scroll down the list of postings to find individual poems.)
     This current issue of JHM also offers a selection of five poems and also a folder with insightful reflections in both prose and poetry -- "A Life of Equations Shifting to a Life of Words" by Thomas Willemain.

Follow the links.  And enjoy!

Linking mathematics to the rest . . .

Today my obtuse anger is rightly directed toward G. H. Hardy (1877-1947) and to the followers who have accepted his view --  in his 1940 treatise, A Mathematician's Apology -- that explaining and appreciating mathematics is work for second-rate minds.  Despite his worthy achievements in number theory and analysis and his nurturing of Ramanujan, Hardy's words should not stand forth and belittle those who teach and explain and forge connections between mathematics and all the rest.
     An wonderful and ongoing source of integration of mathematics with the arts is the Journal of Humanistic Mathematics -- and I invite you to go to the current issue and browse there OR go to this link for more than thirty pages of mathematical Haiku.

Mathematical images via Haiku

          Musing               

         So many versions       

of the truth -- mathematics

        always one of them.    

     The recent issue of  the Journal of Humanistic Mathematics includes not only a variety of poems linked to mathematics -- it also has a special treat:  a folder of Haiku -- 31 pages with contributions by 31 different writers.  One of these contributors is Hannah Lewis and she has given me permission to share her work.  Here are Hannah's Haiku:

     But, Why?

          x equals y, but—
          why? dig deeper and all your
          answers will unearth.     

Mathematics -- vital imagery in SO MANY poems . . .

     Mathematics not only governs the structure of many poems -- of sonnets and pantoums and villanelles and more -- but mathematical imagery is an increasingly vital ingredient of the content.  Australian poet and STEAM advocate Erica Jolly has recently alerted me to the most recent issue (Volume 83) of the online journal Cordite Poetry Review  -- the theme of this issue: its opening essay, its 60 poems --  is mathematics.  Follow this link to Cordite and explore.
     An important resource for anyone seeking poetry-with-mathematics is the Journal of Humanistic Mathematics -- an online journal in which each biannual issue contains a varied selection of poems.  Here is a link to the July 2017 issue for you to explore.
     The humanistic side of mathematics has been explored for many years by the online British journal plus -- available here.  Perhaps you'd like to read an article on "the mathematics of kindness" or survey their articles, videos and podcasts about math-women or read a math-poetry book review -- all this and so much more at plus.

AND, when your time permits, browse here in my blog -- 

with more than 900 postings, much variety is offered.  

Scroll down OR use the SEARCH box.  Explore!

Julia . . . Set Aside Gender Roles . . .

       For me there is a special pleasure in finding in my reading a word like "identity" or "prime" that has a special mathematical meaning in addition to its ordinary usage.  And, because poets work hard to capture multiple images in their work, poems are where such pleasure occurs most often.  Poet and songwriter and professor Lawrence M. Lesser has beautifully connected the Julia Set of fractal geometry with his grandmother, Julia -- and he has given me permission to share his poem, "Julia,"  offered below.  This poem is offered, along with other work by Lesser, in a Poetry Folder, "Moving Between Inner and Outer Worlds," in the most-recent issue of the Journal of Humanistic Mathematics.

For more about Julia Sets, visit http://www.karlsims.com/julia.html.

POETRY -- in the Journal of Humanistic Mathematics

     Pomona College mathematician Gizem Karaali, one of the editors of the online Journal of Humanistic Mathematics, is also a poet.  And the journal conscientiously features links between mathematics and the literary arts.  
     The current issue (online since late July) features my review of Madhur Anand's vibrant new collection, A New Index for Predicting Catastrophes (Penguin Random House, 2015) and these poems:  

       "The Greatest Integer Function" by Alanna Rae, 

              "Quantitative Literacy" by Thomas L. Moore,  

                      "Menger Sponge"  by E. Laura Golberg, 

                             "Calculus Problems" by Joshua N. Cooper, and

                                    "An Exercise on Limits" by Manya Raman-Sundström.

Arnold diffusion (and poets of Romania)

     I have had the good fortune to attend two BIRS Math / Creative Writing workshops in Banff (most recently in January 2016) and one of the organizers of these workshops has been Florin Diacu, a Romanian-Canadian mathematician-poet at Canada's University of Victoria. (For a bit more about my interest in Romanian poets, you may visit this posting from 2012 ; for still more, use "Romania" as a blog-search term.)
     Recently I discovered the following poem by Florin in the January 2014 issue of the Journal of Humanistic Mathematics and that online journal's open-access policy permits me to offer it here.  I have wondered whether it is prudent of me to present a poem about Arnold diffusion, a topic about which I have scant mathematical background.  But I like it, even though my understanding is incomplete; I hope you like it too.

Visit JHM for Mathy Poems

     Today I'd like to direct you to the Journal of Humanistic Mathematics, an online open-access journal that features poetry in each issue.  The Table of Contents for the first issue of 2016 is now available here -- and I offer below a poem from Issue 1 of 2015.  (Before sharing the poem "Prisoner's Dilemma" by Raymond Greenwell I want also to mention that JHM is looking for investigative journalists and that today's "Poem of the Day" at Poets.org is "Evolution" by Linda Bierds and inspired by the work of Alan Turing.)
     I am particularly intrigued by Greenwell's poem because the Prisoner's Dilemma is a decision model close to my concerns about the environment. (More comments below.)

       Prisoner's Dilemma     by Raymond N. Greenwell

       Your best choice is my demise.
       My wise choice is your defeat.    

Poetry Reading 1-11-15 at JMM in San Antonio

You are invited to a poetry reading 
sponsored by the Journal of Humanistic Mathematics

at the 2015 Joint Mathematics Meetings (JMM)

Gonzalez Convention Center   Room 205  San Antonio, Texas
Sunday, January 11, 2015, 5:30 - 7:00 p.m. 

     All poets who write of mathematics and all who are interested in mathematical poetry are invited. Join the gathering to share poems and to enjoy the company of like-minded poetic-math people!  The reading is sponsored by the Journal of Humanistic Mathematics  and will be hosted by Gizem Karaali and Larry Lesser.    
     Although last-minute decisions to participate are possible -- you may simply show up and sign up to read -- we invite and encourage poets to submit poetry (≤ 3 poems, ≤ 5 minutes) and a bio in advance, and, as a result, be listed on our printed program. Inquiries and submissions (by December 1, 2014) may be made to Gizem Karaali (gizem.karaali@pomona.edu).

Poetry in Math Journals

         The Mathematical Intelligencer (publisher of the poem by Gizem Karaali given below) and the Journal of Humanistic Mathematics (an online, open-access journal edited by Mark Huber and Gizem Karaali) are periodicals that include math-related poetry in each issue.  For example, in the most recent issue of JHM, we have these titles:

Articles:
     Joining the mathematician's delirium to the poet's logic'': Mathematical Literature and Literary Mathematics     by Rita Capezzi and Christine Kinsey
     How Do I Love Thee? Let Me Count the Ways for Syllabic Variation in Certain Poetic Forms     by Mike Pinter

Poems:

     Computational Compulsions     by Martin Cohen

     Jeffery's Equation     by Sandra J. Stein

     The Math of Achilles     by Geoffrey A. Landis

And here, from Gizem Karaali, is a poetic view of the process of mathematical discovery:  the blank white page, the muddy flow of thoughts, the clarity that eventually (sometimes) blooms: