Complement and Compliment -- and Geometry

     Poetry's special effects often come from the multiple meanings of terms used -- and today I offer  a snip of a mathy item that I enjoyed and that  plays with meaning -- an item I found a few days ago (September 19) on X (Twitter), 

A posting by California math teacher Howie Hua

And, looking back for geometry in earlier postings, here is a link to a prose poem posted in February, 2017 -- "The Geometry of Poetry" by Janet R. Kirchenheimer.   Still another geometry reading opportunity is the baseball poem "Our Ballpark" by Le Hinton (sampled in this 2015 posting).

September Brings THE BLOOMSBURG FAIR

     During the past weekend, long-time friends in Pennsylvania have reminded me that this is the week of The Bloomsburg Fair -- an annual event held in Bloomsburg, PA (where I lived with my family and taught mathematics at Bloomsburg University for a bunch of years).  Public schools in Bloomsburg started their fall classes a week early so that students could have vacation-time during Fair Week -- held near the end of September.  The fair brings farmers and gardeners and cooks and other creative country folk together to show their products and it was easy for me to get involved since I lived just a few blocks from the Bloomsburg Fairground.  Moreover, Pennsylvania county fairs were familiar to me from my childhood.  I grew up on a farm near Indiana, PA  -- home of the Indiana County Fair, in which my father participated by exhibiting crops and animals and which I attended to enjoy Ferris-wheel rides and other carnival entertainments.

     One of my celebrations of this fondly-remembered Bloomsburg event was to write a poem entitled "The Bloomsburg Fair," a poem with bits of math.  Here is one of its stanzas.

Midlife Calculus -- poems by Britt Kaufmann

     Today's featured poet, Britt Kaufmann, is not only a writer but also a graphic designer, a playwright, and "a lifelong reader and learner."  And a math tutor!  Out this month (from Press 53) is her mathy collection, Midlife Calculus -- a thoughtful and  fun-to-read collection that links math ideas to a variety of life's experiences.  

     Last February, I was introduced to Kaufmann's work when her book-title-poem, "Midlife Calculus," appeared in Scientific American.  I was delighted to also find her poem,  "Z-score of Zero" here in the April-May edition of MAA Focus and I was drawn to include it in this April, 2024 blog-posting.  Visit and enjoy!

     Midlife Calculus is available here.  And below are a couple of samples:    

Playing Hopscotch . . . and Counting . . .

      Growing up on a Pennsylvania farm gave me lots of opportunities to use mathematics -- counting sheep, choosing patterns for planting, and many kitchen tasks.  I also enjoyed occasional times to join friends at in-town playgrounds and, on their paved areas, hopscotch was one of our arithmetical and geometrical activities.  Recently I came across a wonderful online collection of poems by Maya Angelou (1928 - 2014) -- and, within it, this slightly mathy poem that includes hopscotch and also speaks of racial injustice:  

     Harlem Hopscotch    by Maya Angelou

     One foot down, then hop! It's hot.
     Good things for the ones that's got.
     Another jump, now to the left.
     Everybody for hisself.  

Favorite Number -- a Baker's Dozen

      Among my favorite emails are those that come from Innisfree, an online journal (at this link) edited by poet Greg McBride, with new issues emerging each six months.  A wonderful discovery in the most recent issue is the mathy poem "Lagniappe" by Michigan poet Lynn Domina.  

    Domina's poem relates to some of my delightful childhood experiences:  I often was asked to help a great aunt with her shopping  and, for both of us, one of our favorite stops was a family-owned bakery which supplied an extra pastry to any dozen purchased -- in case one of the dozen was a bit small or otherwise inferior -- and my aunt always rewarded me with the extra.  Today, no pastries -- but a great poem; read on:

math talk -- a way to learn

EXPLORE MATHEMATICS BY TALKING ABOUT IT!

      math talk: mathematical ideas in poems for two voices is the title of a 1991 poetry collection (Wide World Publishing, available here) by theoni pappas, a long-time teacher of mathematics and  author of  many books that help to popularize mathematics.  Here are the opening lines of her poem-for-two-voices, "Zero," -- found on page 23 of her math-talk collection.

Creating New Poems by Sampling Old Ones

      In its collection of Math Voices the American Mathematical Society (AMS) has a very interesting Feature Column -- a column written for students, teachers, and the general public -- that offers essays about math that it describes as "useful, fun, inspiring, or startling."  When browsing the column recently I found and enjoyed a column by Sara Stoudt of Bucknell University entitled "Sampled Poems Contain Multitudes" -- an article that gives readers an opportunity to experience Walt Whitman's poem, "Song of Myself" (a book-length poem with a total of 52 poem-sections, found here at the Poetry Foundation website) via a poem with a sample line for each section,  Here are the opening lines:

From Walt Whitman's "Song of Myself":

World's Most Interesting Mathematician

     Angela Tabiri, a young mathematician from Ghana, in July captured global attention by winning the title,  World’s Most Interesting Mathematician. Here is her story!  This accolade was bestowed upon her by The Big Internet Math-Off, a competition held in the US last July.  Here is a link to the finals in the competition in which Angela's winning entry is included.

Go here for Angela Tabiri's math story.

The Unreasonable Effectiveness of Mathematics

      Daniel May -- professor at Black Hills State University in South Dakota -- enjoys not only teaching mathematics to future teachers but also exploration of the combinatorics of card games and the poetry of mathematical patterns and ideas.   He spends his summers working with Bridge to Enter Advanced Mathematics (BEAM), a mathematics enrichment program for under-served public middle school students in New York City and Los Angeles.

     Below I offer a poem by May that was part of the program at the recent BRIDGES Conference.  (May's poem also is found with lots of BRIDGES poetry and poet-information here at the website of Sarah Glaz.)

          Eight Minutes     by Daniel May

          Eyelids closed,
          warm
          sunlight shining

          bright

          onto my thin skin.
          Earth below me, lush and vibrant from
          our star's
          nearly infinite rays.

Prison Math and Poetry Projects

     One of the good things that is happening is that poets and math people -- and others -- are investing time and funds in projects to help incarcerated individuals find crime-free activities for their present and future lives.  Here is a link to information about a Prison Math Project and this link leads to information about Prison Poetry Workshops.  A wonderful variety of activities have been taking place!

     Below I offer the opening lines of a poem that counts prisoners and tells of the racial and other injustices that they suffer-- a poem by prisoner, Korean war veteran, and poet Ethridge Knight (1931-1991).  (Knight's complete poem may be found here  -- along with many more -- at the Poetry Foundation website.)

A Fable      by Etheridge Knight

Once upon a today and yesterday and nevermore there were 7 men and women all locked / up in prison cells. Now these 7 men and women were innocent of any crimes; they were in prison because their skins were black. Day after day, the prisoners paced their cells, pining for their freedom. And the non-black jailers would laugh at the prisoners and beat them with sticks and throw their food on the floor. Finally, prisoner #1 said, “I will educate myself and emulate the non-colored people. That is the way to freedom—c’mon, you guys, and follow me.” “Hell, no,” said prisoner #2. “The only way to get free is . . . 

Knight's complete poem is available here.

Previous blog postings telling of math-poetry opportunities for incarcerated persons may be found here at this link.

BRIDGES Poetry -- and Clerihews

    One of my favorite mathy publications is the Journal of Humanistic Mathematics, an online peer-reviewed journal published twice yearly by the Claremont Colleges Library and edited by Mark Huber, Claremont McKenna College, and Gizem Karaali, Pomona College.  The most recent issue -- (Vol. 14, issue 2), available online here.  The screen-shot below shows the poetry-contents of this issue.

A Nickel, a Dime, a Dollar . . .

    In childhood -- and later also -- rhymes help us to remember.  I recall reciting, in early years. "Pme, two, buckle my shoe; three, four, shut the door . . ."  Here -- at the website, Empowered Parents -- are a number of counting songs and rhymes.

    Recently I found among the poems of one of my favorite poets -- Harlem Renaissance poet Langston Hughes (1902-1967) -- a delightful counting poem entitled "Brass Spittoons."  Here are some of its lines:

Math can lead us to Poetry . . .

      As I age and find myself slowing down in my math-poetry ventures it is a delight to see other mathy writers surging with energy and thoughtful publications.

     One frequent source of math-arts connections is Sarah Hart, Professor Emerita of Mathematics, School of Computing and Mathematical Sciences, Birbeck University, London.  Here is a link to an article by Hart containing material excerpted from her collection Once Upon a Prime:  The Wondrous Connections Between Mathematics and Literature (Flatiron Books:  New York, 2023).  

     Once Upon a Prime is a prose explanation completed with frequent literary examples.  Here is a poem that her daughter, Emma, wrote "for Mummy's book." 

Math films -- and a Pi-song

     A film project worthy of support (and found at this website) is JOURNEYS OF BLACK MATHEMATICIANS: A documentary project by writer and film-maker George Csicery.   Severely underrepresented in mathematics, African Americans have played important roles as researchers and educators in the field. This documentary traces the history of the individuals who worked as pioneers in expanding the presence of African Americans in mathematics.

Go to this link (the same one as sbove) and scroll down for access to the films in Csicery's collection; featured mathematicians include:  Evelyn Boyd Granville, Robert Edward Bozeman, Edray Goins, Johnny L. Houston, Monica Stephens Cooley,  Ulrica Wilson, Omayra R. Orgega, Virginia K. Newell, Scott Williams, Duane Cooper, Talitha M. Washington . . .

     I close with the opening lines of a song, written by Mitchell Moffit and found at this link, that can be helpful in memorizing many digits of pi -- an amazing endeavor that some people undertake.

Whenever you see a tree . . .

Often I explore and enrich my thinking by organizing information with a tree diagram.  The following poem by Padma Venkatraman (found here in the March 2021 issue of Poetry Magazine) is not mathematical in content BUT it uses a diagram of a tree to discover and organize thoughts.  Enjoy!

Whenever You See a Tree     by Padma Venkatraman

This poem by Padma Venkatraman appeared in the March 2021 issue of Poetry Magazine.

Bridges 2024 -- in Richmond, VA

      As she had done in numerous preceding years, mathematician-poet Sarah Glaz is once again an organizer for a poetry reading at the BRIDGES Math-Arts Conference -- this year to be held in Richmond, Virginia, August 1-5.

Bridges Poetry Reading Website

  Poetry Reading Sunday, August 4, 3:00 - 5:00 pm     

Science Museum of Virginia , Room: RF& P Forum

2500 West Broad Street    Richmond, Virginia

Black Momma Math

      I have signed up for a Google email service, "Google Alert" which sends to my g-mail address links to items found in Google searching that contain the words "poetry" and "mathematics".  Recently such an email alerted me to a sharing by a psychiatrist who writes poetry about his medical experiences.

     Richard Berlin, MD, has been writing a poem about his experience of being a doctor every month for the past 26 years in Psychiatric Times in a column called “Poetry of the Times.” He is instructor in psychiatry, University of Massachusetts Medical School, Worcester, Massachusetts. His latest book is Tender Fences.  At this link, he shared the poem "Black Momma Math",  by Kimberly Jae who is an award-winning poet, ranked among the top 30 slam poets in the world in 2018.  The poem is also available here at the Poetry Foundation website.   I offer its opening stanzas below.

Black Momma Math      by Kimberly Jae    

Celebrate Blaise Pascal

      A couple of weeks ago (on June 19) I learned on X (formerly Twitter) that 401 years ago, mathematician Blaise Pascal (1623-1662) was born -- more info here.  Probably Pascal is best known for the array of numbers called Pascal's triangle -- and that array has influenced poetry as well as mathematics.

    My source of this info about Pascal was an ongoing collection of postings on X by Mathematics & Statistics St Andrews,  @StA_Maths_Stats, which offers lots of historical facts about math and math people.  Their June 19 posting offered this:

Triangular Poems

      A recent return to one of my favorite poetry collections -- alas, now out of print -- Against Infinity: An Anthology of Contemporary Mathematical Poetry, Edited by Ernest Robson and Jet Wimp (Primary Press, 1979), reacquainted me with this poem by Catherine M. Lynch (1939-2021)  -- a poem with its title and its syllable counts bieng Triangular Numbers):

A
Tripod is
A perfect plane as well
As the base of a triple point pencil.

The
Tripleness
In truth, is a kind of
Glory and power just being itself

And
Not even
Sacredness symbolized.
There is something triangular in love.

 Follow this link to find more blog postings that involved triangular poems.

Mathematicians that aren't white men . . .

          Who
          can do
          mathematics?
          What about girls and women
          and people of color?
          We need to open
          our eyes and
          our doors! 

      Even though mathematicians are frequently exploring new ideas and patterns of thought, minds often have been closed against recognizing math skills in varied groups of people.  It has taken lots of effort to get math doors opened to women, to people of color.  Here are some informative and inspiring videos:

Journeys of Black Mathematicians (A documentary project by George Csicsery)

Meet a Mathematician:  Dr. Gizem Karaali

Meet a Mathematician:  Dr. Lisa Fauci 

Blogging about Math and Poetry

      One of my recent online pleasures has been visiting the Poetry Blogging Network -- I was led there because it mentions my blog but I also found a rich array of other treasures to explore.  One of these is the book of kells -- a blog written by poet, editor, and teacher Kelli Russell Agodon.

     One of the very special poems I found (posted on February 3, 2024 ) is "Zero Sums" by Luisa A. Igloria  -- I offer below its opening lines:

     Zero Sums     by Luisa A. Igloria

          Driving back from the gym, I listen to
          a radio program where two mathematicians

          are talking about zero. I'm parked in front
          of my house, but their conversation keeps me

          glued to the seat. One of them says in math,
          whatever operation you do, you need to also be 

          able to undo—just like with multiplication and
          division. Unless you divide by zero, in which case

          you get the impossible. Or you get . . . .                   

Igloria's complete poem is found here.. 

.More about Virginia poet Luisa Igloria is available here.

This link leads to an earlier blog posting that features work by Igloria.

Mathematics -- a Beautiful Mystery

     Guided by Facebook, I have found and explored a variety of Math Poems on YouTube.  Here is a sample stanza from a poem that I enjoyed today:

from "Beautiful Mystery" by Trixie Batista (here on YouTube)

A variety of YouTube videos of mathy poems are available at this link.

Invisible Poem

This cartoon, found a few days ago on Twitter (X), has reminded me of the role that both mathematics and poetry have in formulating the invisible.

Thank you, Grant Snider!

Learn more about Snider's collection, Poetry Comics, at this link.

Remembering Bob Grumman . . .

      Recently I discovered an online article -- "Bob Grumman’s mathematical universe: somewhere, minutely, a widening" by mathematician-poet Sarah Glaz) at Synapse International, an international visual poetry gathering, co-edited by Philip Davenport and karl kempton) that celebrates the work of math visual-poet Bob Grumman (1941-2015)..  When I visited the article by Glaz, I also found several other articles that celebrated Grumman -- found here at this link for Issue 7, January 2024.

     Below I post two of  Grumman's Mathemaku -- visual poems that involve mathematical symbols and the brevity of Haiku; one of them is found in the article by Glaz mentioned above and the second is found here (along with others) in an article by karl kempton.

Integrating . . .

      Integrating our fields of knowledge makes them more useful -- a view that has been correct for me, at least, and I am delighted when I find more people integrating poetry with mathematics.  This link leads to materials offered by the American Mathematical Society that connect with poetry.

     Several years ago an article of mine --  entitled "Everything Connects" -- was published in the Journal of Mathematics and the Arts.  Below I offer a brief poem from the article (a Fib, with syllable counts equal to the first six Fibonacci numbers).  Here is a link to a 2020 blog posting about the article and here is a link to the article.  The following Fib is included in the article:

Be Guided by BEAUTY!

      When a person speaks of mathematics and poetry in the same sentence. I am interested -- and recently I came across an early-May financial article by Jason Ma which met that condition; its title and subtitle are:

‘Quant King’ Jim Simons (1938-2024) was a math and investing genius, but also a management wiz. Here are some of his lessons on leadership . . .

The article contains five "guiding principles" -- and I have grouped the words of the 3rd principle (which includes mathematics and poetry)  into the following syllable-count triangular poem:

       Be
       guided
       by beauty --
       true in doing
       mathematics or
       writing poetry, but
       also true in fashioning
       an organization that runs
       extremely well, accomplishes its 
       mission with excellence. Hope for good luck!

Here is a link to the full article by Ma.

Haiku in Math Class

      One of my recent discoveries of math-poetry is in the activities of Hofstra University professor Johanna Franklin,   Franklin asks her students to compose Haiku and she has recently sent me the following material from various courses and semesters:

Math equals patterns
patterns not everyone sees
patterns we all need.
        (introduction to proofs, Spring 2023)

Why do I have my math students write haikus at the end of the semester? Because I love both poetry and playing with words, and the American conception of a haiku strikes me as a perfect poem for a mathematician: the counting of syllables, the symmetry.

Finite vs. Infinite

     One of my frequent interesting reads is the Quote of the Day #QOTD posted on Twitter by Mathematics & Statistics at St Andrews, @StA_Maths-Stats.  A few days ago I found there the following mathy-poetic and thought-provoking quote by Polish mathematician Stanislaw Ulam (1909-1984):

     The infinite 
          we shall do right away. 
     The finite
               may take a little longer.

  [Quoted in D MacHale, "Comic Sections" (first published in Dublin 1993)]

Which of us have ARITHMOMANIA?

     One of my favorite email subscriptions is to A.Word.A.Day --  a day-to-day collection each week (gathered by Anu Garg)  of five related terms to learn anjoy.  On April 15, I learned the new word arithmomania  -- and quote the following from Garg's posting.

arithmomania     PRONUNCIATION: (uh-rith-muh-MAY-nee-uh)

MEANING:   noun: An obsessive preoccupation with numbers, calculations, and counting.

Scientific American feature-- METER

Richard Blanco:     “An engineer, poet, Cuban American… his poetry bridges cultures and languages – a mosaic of our past, our present, and our future – reflecting a nation that is hectic, colorful, and still becoming.”

– President Joe Biden, conferring the National Humanities Medal on Blanco

RICHARD BLANCO is a professional civil engineer and a poet. He read his poem “One Today” at the second inauguration of President Barack Obama, who selected him to serve as the fifth Presidential Inaugural Poet in U.S. history.  Blanco's inauguration appearance is reported at this link and connection to his inaugural poem is offered there.

    One of my current favorite math-poetry sources is Scientific American -- edited by feminist science writer Dava Sobel and presented each month under the heading Meter.  The selection for December, 2022 was "Uncertain-Sea Principle" by Richard Blanco.  Here are it's opening lines: 

2024 AMS Math-Poetry Contest Winners

     Each year the American Mathematical Society sponsors a student poetry contest-- looking for submissions from students in three categories -- junior high, senior high and college.  This year's winners are:

“An Intriguing Mystery” by Jera Feem V. Forro,  University of the Philippines Visayas Iloilo City High School  

“Meditation on Mathematics” by Chelsea Zhu, Richard Montgomery High School

"Infinity Is Known by Many Names" by Jasmin Mundi, American University

    A poster of the winning poems (shown below) is available for order at this link -- where one also finds You-Tube videos of the poets reading their winning poems.  For more information about the contest and names of honorable-mention poets and previous years' winners, go here.

Happy Birthday, AWM!

      An organization that I celebrate -- though not often enough -- is the Association for Women in Mathematics which celebrates its 53rd birthday today.  Join me in a visit to the AWM website to explore their programs and a visit to this blog post from 3 years ago that celebrates AWM with a poem.

Wordsmith theme -- words from Geometry

      A delightful stimulus to expand my vocabulary is my subscription to "A.Word.A,Day" by Anu Garg -- and each Monday-through-Friday I get an email notification of a new word.  This week's theme is "Words from Geometry" and today's word is tangent -- go here to read, learn, and enjoy Garg's discussion of this word.

    And here is a link to this blog's earlier postings  that include poetic consideration of the term tangent.

Speaking in Fibs . . .

     Syllable-count patterns often are used in poems--helping to give a rhythmic tempo to the words.  As I mention often, syllable counts -- and other word-patterns -- help me to discover new and special meanings to convey. When I start to write, my thoughts are scattered and need to be gathered and focused -- and a poetic form helps this to happen.  The sonnet and the villanelle have long been valued examples of poetry patterns.  More recent -- and more simple -- is the Fib.  Introduced by poet Gregory Pincus back in 2006, the Fib is a six-line poem whose syllables are counted by the first six Fibonacci numbers:  1, 1, 2, 3, 5, 8. (Each succeeding Fibonacci number is the sum of the two that precede it.)

     Since 2006, a journal aptly named The Fib Review has offered (available at this website) more than 40 issues of poems, all of whose lines have syllable-counts that are  Fibonacci numbers.  Here is a portion of one of the poems -- by Washington-based poet Sterling Warner --  (the complete poem is found here).

Here is a link to another blog posting that features poetry from The Fib Review.

And lots more FIBS may be found here.

Math in Shakespeare . . .

     Yesterday, April 23, is the day on which William Shakespeare's birthday is celebrated; he was born long ago in 1564 and the actual date is uncertain.   The BBC Radio Newshour today featured this event in its broadcast  and told of ways that Shakespeare used mathematical ideas in his writing.  A broadcast recording is available at this link; the Shakespeare-math info begins at approximately 25 minutes into the show.   Ideas come from a book that is coming out next September,  Much Ado About Numbers: Shakespeare's Mathematical Life and Times by Rob Eastaway. 

One of the interesting items I found as I browsed was the phrase

    eight score eight       in Othello -- a three-syllable way for saying 168.

     Here is a link to an article that focuses on Shakespeare's use of zero.

EARTH DAY -- what are ways to preserve our planet?

Save
our
Mother
Earth -- conserve 
our resources, shift 
to non-polluting substances.

As many of you readers know, the poem above is an example of  a FIB -- a six-line poem with syllable-counts matching the first six Fibonacci numbers,  When I sit down to write about a particular topic, I often find the the FIB format is a good way to start -- developing an idea starting with single words and gradually developing longer phrases.   And, today, outside of this blog, I am trying to learn more about earth friendly substances.

If you have time to be interested in more mathy and earth-friendly poems, this link leads to the results of a blog search for climate change and this second link leads to previous Earth Day blog postings.

 This link leads to postings -- and poems -- in this blog related to CLIMATE.

And here is a link to several previous EARTH DAY postings..

A Mathy Celebration of National Poetry Month

     It is a delight to me to see math and science publications including poetry!  Today I am enjoying the work of North Carolina poet Britt Kaufmann -- Kaufmann works as a math tutor -- and her poem "Midnight Calculus" appeared in the February 2024 issue of Scientific American.  The accompanying bio mentioned that Kaufmann took her first calculus course at age 47.

     More recently, under the heading "In Celebration of National Poetry Month," MAA FOCUS, the Newsmagazine of the Mathematical Association of America. another Kaufmann poem appeared, "Z-score of Zero."   (A z-score measures exactly how many standard deviations above or below the mean a particular data-number is.)  Kaufmann gives us a thoughtful poetic reflection of math on life!  

The Geometry of Distraction

      California poet Carol Dorf is a retired math teacher and writer of a very varied library of poems, including many with math connections.  It has been my pleasure to read with her at math-poetry readings and to include a number of her poems here in my blog.  (This link leads to a list of my many postings of her work here in this blog.)
    Browsing online today, I have come across still another one of Dorf's mathy poems which I would like to share.  Here are the opening lines of "Spring Again: -- and the complete poem is found here at poetryfoundation.org.

Enjoying Math-Poetry Connections

           Poet Emily Lutken's first career was as a physician -- she specialized in family medicine and spent many years of practice in the Navaho Nation.  Following this she taught middle and high school math and science for several years , , , and now, retired, she has time for music, poetry, and other arts.

     On my shelf --- for my frequent rereading and enjoyment -- is a copy of Lutken's 2021 collection, Manifold:  poetry of mathematics. (3: A Taos Press, 2021).   Here is a favorite poem of mine from that collection:

   Prime Syllable Song    by Emily Lutken

          Prime 
          numbers
          do not care
          to make a rhyme.
          They blaze wild pathways.
          While others tow the line,
          they play crwths or smash guitars,
          unlike composite counts assigned
          to echo harmonic notes in time
          and avoid the oddball and ill-defined.
          Without primes, though, the music would be boring,
          the sing-song regularity, the constant whine
          would drive all of us absolutely batshit bonkers.

This link leads to more information about Manifold, in which the poem above is found.  This link leads to Lutken's website -- which includes more poetry and a bio of the poet.

This link leads to a poem by Lutken about a solar eclipse.  

Another of Lutken's poems, "Ars Parabola," appears in this blog at this link.

Using POETRY as an aid in learning MATHEMATICS

     "Math problems take on new meaning in this class that combines rhymes and verse with math instruction."

     The above quotation comes from the website The Conversation, from a series entitled Uncommon Courses -- a series that highlights unconventional approaches to teaching.  In an article entitled "Rhyme and reason -- why a university professor uses poetry to teach math," Ricardo Martinez -- who teaches mathematics education at Penn State University --  tells how math problems take on new meaning in a class that combines rhymes and verse with math instruction. 

 As he tells about the course, Martinez explains:

I have always enjoyed writing poetry. As a high school mathematics teacher, I recall telling my students that everything is and can be connected to math, even creative writing. Then, as a graduate student, I read about people using “I am” poem templates for young people to express who they are through a series of “I am” statements, and I thought to myself, where is the “I am” math poem template? So I created one. 

Math-Poetry -- Quote of the Day from St. Andrews

 Found today on X (Twitter):

Here is a link to a copy of the 1850 Chebyshev article.   This link provides information about Pafnutii (or Pafnuty) Chebyshev (1821-94) and this link leads to info about Joseph Bertrand (1822-1900).

April celebrates both MATH and POETRY

April is National Poetry Month and Mathematics and Statistics Awareness Month!  Found at the website We are Teachers, a collection of 38 poems for math students; here is one:

Math meets Poetry -- Student's Senior Project

      Lawrence "Larry" Lesser is a mathematics and statistics professor at the University of Texas in El Paso -- and is also an active poet and song-writer.  This link leads to my previous inclusions of his poetry and ideas earlier in this blog.  Recently one of Lesser's Facebook postings led me to an article about a student at Kalamazoo College in Michigan who combined math with poetry for her senior project.  This article about Elizabeth "Lizzy" Rottenberk tell how her loves for mathematics and poetry connect and it offers the following sample math-poetry pair:

A blog posting written by ChatGPT 3.5

     For a long time I have been curious about what would result if I asked AI to write a blog post for me.  One day recently I signed in at https://chat.openai.com/ and was asked by ChatGPT 3.5,  "How can I help you today?"  Copied and pasted below is our conversation (copied from this link).  (I am disappointed that ChatGPT's respones did not, as my postings usually do, include a poem.)  Read -- and reflect!

I have a blog entitled "Intersections -- Poetry with Mathematics" and I would like Chat GPT to write a blog posting for me.  

From ChatGPT: 

Title: Exploring the Symmetry of Numbers: A Mathematical Poetic Journey

Welcome back to "  Intersections -- Poetry with Mathematics"! Today, let's delve into the captivating world where numbers and poetry intertwine, creating harmonies of symmetry and rhythm. Join me on this whimsical voyage where mathematical concepts dance with lyrical verses, inviting you to see the beauty in both.

They Say She WAS GOOD (for a woman)!

     March is Women's History Month; March 23 1882 is the birthdate of Emmy Noether (1882-1935).  Here is a photo of Noether from a  Twitter X posting from the Department of Mathematics and Statistics at St. Andrews -- and it is followed by a stanza from a poem about Noether that I was inspired to write many years ago; following those lines, a link to previous poetic postings about Noether in this blog.

       

March 21 -- Celebrate World Poetry Day

 This blog has lots of poetry possibilities!

Scroll down and choose a mathy poem!

READ and CELEBRATE!

Honoring Math Teacher and Poet, Amy Uyematsu

      On Saturday, March 23 at 2 PM, a poetry-event is planned at Descanso Gardens in La Cañada Flintridge, California to celebrate the life of poet, math teacher, and activist Amy Uyematsu (1947-2023).  It was my pleasure to be connected to Amy via various math-related events and her work has been included in previous postings in this blog.  (Here's a link to a list of those earlier posts.)

     One of my favorite poems of Amy's is  "The Meaning of Zero:  A Love Poem."  The complete poem is found here at Poets. org and in the collection Strange Attractors:  Poems of Love and Mathematics-- and I offer its opening stanzas below.

Uyematsu's complete poem is available at this link.

Discovery Tool -- Following a Pattern

     When I pick up a pen to write on a particular subject, often it is useful me to try to follow a pattern for rhymes or syllable-counts -- for the effort to conform to a pattern challenges me to think about my topic in new ways.  In the history of poetry, rhyme-choices were frequent--yielding sonnets, villanelles and a variety of other forms.  

     In recent years, online and printed versions of poems have become very accessible and the principle, "Rhymes help us remember" has become less of a focus in poetry.  One of the popular connections between math and poetry has been the use of Fibonacci numbers to choose syllable counts;  especially  popular has been the FIB, a six-line stanza in which the syllable-counts are 1, 1, 2, 3, 5, and 8 -- the first six Fibonacci numbers.  (Inventor of the FIB was Greg Pincus, and lots of information is provided here in this 2010 blog posting, Poems with Fibonacci number patterns.)  

Celebrate Pi

     Soon it will be Pi-Day (3.14) and this year I again call your attention to a poem by one of my long-time favorite poets -- the poem "Pi" by Polish Nobel Prize-winning poet Wislawa Szymborska (1923-2012).   I offer a portion of the poem below (followed by a link to the complete poem).

from    Pi     by Wiwlawa Szymborska  

 (translated from Polish by Clare Cavanaugh and Stanislaw Baranczak (1946-2014)).

     The admirable number pi:
     three point one four one
     All the following digits are also initial,
     five nine two because it never ends.
     It can’t be comprehended six five three five at a glance,
     eight nine by calculation,
     seven nine or imagination,
     not even three two three eight by wit, that is, by comparison
     four six to anything else
     two six four three in the world.
     The longest snake on earth call it quits at about forty feet.
     Likewise, snakes of myth and legend, though they may
                hold out a bit longer.
     The pageant of digits comprising the number pi
     doesn’t stop at the page’s edge.        . . .
               .  .  . 

The entire Szymborska-poem is may be found here at the website "Famous Poets and Poems" and also here in an online pdf of the booklet Numbers and Faces:  A Collection of Poems with Mathematical Imagery -- a collection that I edited on behalf of the Humanistic Mathematics Network.

This link connects to a list of previous blog-posts of Pi-related poems. 

Celebrating Women who write Mathy Poems

       Now in March -- in Women's History Month -- many writers are taking a bit of extra time to explore the history and achievements of women.  It was my delight to find a March 6 posting here on the Poetry Blogging Network with a list of celebrated women in poetry that includes several writers of mathy poems.  Of the ten poets listed, the following five have been included in this blog -- in earlier postings.  For each, I include a mathy sample and the poet's name is linked to earlier postings that include their work.

     Adrienne Rich   from Planetarium 

             a woman      ‘in the snow     
             among the Clocks and instruments              
             or measuring the ground with poles  

            in her 98 years to discover    
            8 comets

Multiple Meanings -- in Poetry, Math, and Jokes

     One of the challenging AND enriching qualities of both mathematics and poetry is the multiplicity of meanings that particular expressions may have. This quality also is found in jokes -- and in the Math Blog of MIT math-scholar Tanya Khovanova I recently enjoyed some entertaining mathy riddle-jokes and below I offer a sample: 

Here is a link to Khovanova's complete blog-posting.  Enjoy!

For biographical and contact information for Khovanova, here is a link to her webpage -- and here as a link to her poem "Nerdy Wedding" and, finally, a link to an earlier posting of her work in this blog.

A poem-title that drew me in -- "Calculus I, II, III"

      A poetry event that I often enjoy is the posting by the Academy of American Poets of a poem-a-day -- today's poem is found here  and  information about the posting is found here at Poets.org.  my background in mathematics helped me to be especially pleased early this month (on 2/2) when the daily poem (written by poet and artist Brad Walrond) was entitled "Calculus I, II, III" -- and if offers reflection on different levels of learning.  Below I offer a few lines from the poem; the complete poem is available at this link.

from     Calculus I, II, and III    by Brad Walrond

      . . .    this calculus

     —how one body
     relates to another—

     that disturbs all the peace

     is the same as learning
     their one two threes       . . .

   Copyright © 2024 by Brad Walrond.   Read more here.

Shaping poems with Pascal's Triangle

      One of my favorite websites to visit is "Poetry and Mathematics" -- a blog from poet Marian Christie.  Today I focus on her posting of poems with word-lengths structured by Pascal's Triangle; here is a sample:

Christie's complete Pascal Triangle posting -- with a triangle for each season -- is available at this link. 

 AND, here is a link to previous connections to Christie and her work in this blog. 

Mathematician, Poet -- Blind to the worth of Women

     As we study mathematics and learn of outstanding mathematicians, many of us do not also learn which of those mathematicians also were poets.  A posting that I found recently in Marian Christie's blog, Poetry and Mathematics, features poetry by  Scottish physicist James Clerk Maxwell (1831-39).

     Maxwell's verse also is featured in the math-poetry anthology, Strange Attractors:  Poems of Love and Mathematics (A.K Peters, Ltd., 2008);  preview available here at amazon.com.

     Below I offer a stanza from a Maxwell poem (posted in this blog back in December, 2015) -- a stanza that shows the long-mistaken attitude that has existed about inferior abilities of math-women: 

Poems of Math -- from a teacher and his students

      Occasionally I Google the pair "mathematics, poetry" to see what a web search can find for me.  Many of the sites found this way are familiar -- including this blog and poetry I have cited herein.  But a few days ago I found a new site -- posted by the New England Literary Resource Center and featuring poems by a GED teacher Phillip Howard (at the Adult Literacy Center at Dorchester, MA) and his students.  Howard asks his students to write poems about math as a way of communicating their accomplishments and frustrations.   Here is the poem that Howard offers his students; their responses are collected here. 

       Me & Math       by  Phillip Howard

          I have a problem … a math problem
          Math is always throwing problems at me
          I solve 1 and Boom   Math throws a harder 1
          A Brain Buster … so I rage
          But I can’t GIVE UP MATH
          Math is in my blood … PROBLEMS CALL 2 ME
          I want 2 BREAK THE HABIT … but I can’t
          So I push MATH
          I push on the WEB
          I push on the STREETS
          I push in the CLASS
          I push MATH 2 YOU
          So YOU 2 have a MATH PROBLEM

Math Poems for Students of All Ages

      In my recent use of Google -- in search of mathy poems -- I came across this website:  38 Math Poems for Students in All Grade Levels (a featured page at weareteachers.com).  It contains these words:

"Poetry can transforms kids’ attitudes about math exponentially!"

Here's a sample.

And here is  a link to more about poet Rebecca Kai Dotlich.

Rules that someone made up -- Is that MATH?

      As frequent readers of this blog know, I am indebted to many people for their contributions of poems -- their own and links to others.  An alert to today's poem came from Canadian poet Alice Major -- with previous contibutions to this blog found at this link.   The poem, "BOUNDARY CONDITIONS"  by Sneha Madhavan-Reese was published in the journal Rattle.   I offer, below, its opening and closing stanzas, followed by a link to the complete poem.

from   BOUNDARY CONDITIONS     by   Sneha Madhavan-Reese

                    who but men blame the angels for the wild
                           exceptionalism of men?    —Sam Sax, “Anti-Zionist Abecedarian”

       Along the border of any governed region, there exists a value which must
       satisfy its laws. This is a rule I learned for solving differential equations.