A bit of Wisdom with a bit of Math

 Christmas is coming and my thoughts are focused on gifts for grandchildren and family celebrations but I want to take a few minutes to share a Tibetan proverb shared by my friend Lisa Martin on Facebook -- and a wonderful idea to consider.

Remembering Poet Nikki Giovanni (1943-2024)

      I much admire the work of Nikki Giovanni -- a poet who spoke both fearlessly and eloquently.  As she deserved, her life was big news in the Washington Post  -- I learned of her passing (on December 9) in a front-page article that celebrated her work and her person.  Another informative Post  tribute to Giovanni is available here -- and a rich sampling of her poetry is available here at PoetryFoundation.org.

     Giovanni has not included math ideas in many of her poems but I did find some counting in "The Way I Feel" -- sampled in this blog at this link -- and I offer below a few lines from "Balances";  Giovaanni's complete poem is available here. 

Math Doors are Open Now . . .

     One of the important and wonderful organizations to which I belong is the Association for Women in Mathematics  --  and each year AWM conducts an essay contest -- an opportunity for students to interview a math-woman and write about it.  Three categories of entries are open -- for middle school, high school, and college students,  Essays are being accepted now and until February 1, 2025.  More information is available here.   

     The Association for Women in Mathematics was established in 1971 -- after I had completed my school years as a lonely math-girl.  I celebrate the changes that bring women to equality in mathematics -- but sometimes also remember the past; the poem below is a comment on my high school and college days.

What Math Teachers Do

     They ignore me.  I
     raise my hand -- wave it
     to ask questions, to
     offer answers -- but
     they call on the boys.

A 5x5 syllable-square of protest, from JoAnne Growney

Student Math-Poetry Contest -- submit by 2/2/2025

This message is for middle-school, high school and college students --

write a MATHY POEM, enter it in this contest:

American Mathematical Society

Math-Poetry Contest Announcement

This link leads to contest information and rules for submission.

The AMS Poetry Contest was first held in 2019; here's the Middle School winner: 

Celebrate AMS Award Winner Katherine Stange

      For me, postings on X (Twitter) are a frequent source of math-poetry news.  Today I found this:

This link leads to information about Stange's award.

Mathematician Katherine Stange is the daughter of a poet (Ken Stange) and their math-poetry connection is perhaps what led Kate to collect an anthology of mathy poems, available online at this link.   Here are the opening stanzas of one of the poems in Stange's anthology.  

A 3-4-5 Triangle of Poetry

     A wonderful feature of the Internet is the opportunity it offers for rapid connection with ideas from people around the world -- and I have found delight in mathy poems from Africa, Australia, Canada, China, India . . . and many other places.  Today's poem comes from poet Marian Christie -- who grew up in Zimbabwe and now lives in Kent, England (and has been other places in-between).  (Here is a link to previous mentions of Christie's work in this blog.)

     Here, below, is a screenshot of a poem by Christie that she posted recently on X (Twitter) (@marian_v_o) --  her poetic interpretation of the Pythagorean Theorem: 

Student Contest -- STEAM Powered Poetry Videos

     For some of us, holidays -- Thanksgiving and Christmas and . . . -- offer time to explore new projects.  Here is a project for math/science students to try -- the Steam Powered Poetry Contest (entries September to April).   

Students in Jr. High, High School and College/University create 1-minute videos showcasing their STEAM poems. No entry fee. Contest is open from September to April every year.   More information here.

Below I offer is a sample poem (for which a video entry may be created) by contest organizer Heidi Bee Roemer.  Find lots of samples at this link -- and encourage students you know to consider entry.

PRECISION vs. IMAGINATION

     In the creation and development of both mathematics and poetry both PRECISION and IMAGINATION are important.  Recently I came across the announcement of a book entitled Poetic Logic and the Origins of the Mathematical Imagination -- written by Canadian professor if semiotics, Marcel Danesi, and part of the Springer-Nature series, Mathematics in Mind,  Here is a link to an overview of Danesi's book.  And, in the publisher's summary of the Danesi book, we find this:

The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. 

Reading Danesi's ideas and thinking about my own poetic musings has reminded me of a long-ago poem of mine, "Can A Mathematician See Red?"  I posted this poem in this blog long ago (in August 2011, at this link) -- and I offer it again, below.    

Exploring Angles Through Poetry

      As I have previously mentioned, recently I have discovered mathy poems at the website poemverse.org, and I enjoy exploring there.  One of my findings has been a collection of poems about geometry -- and I offer a sample below.

More Poems about Angles may be found here.

Another poemverse collection is Poems about math class -- at this link.

"Countless" -- a Scrabblegram poem

     At the website X (Twitter) one of my frequent enjoyments is a Scrabblegram posting by David Cohen, writer from Atlanta, Georgia.  Cohen writes stanzas -- often poetic --  that use each of the 100 tiles in a Scrabble game exactly once.  More than a year ago, alerted by blogger and poet Marian Christie, I found and shared a mathy Scrabblegram ZERO at this link.  And here is another, Countless, found at here Cohen's website.

Scrabblegram by David Cohen (lots more here)

This link leads to a long list of Scrabblegrams!  And some of them are mathy!

Haiku about Math

     Recently I have found a rich source of mathy poems to explore -- at the website poemverse.org.  For example, there are Poems about Math Class and The Beauty of Geometry: Exploring Angles through Poetry and The Beauty of Haiku   Poems about Math . . . . and . . . lots more  . . .

Here are two samples, with a link to more:   

More mathy Haiku may be found here at poemverse.org.

A Mathematician's Villanelle

     One of the most active and effective ambassadors for connections between mathematics and the arts is Gizem Karaali. Professor of Mathematics and Statistics at California's Pomona College.  Poet and writer as well as teacher and researcher, Karaali is a founding editor of Journal of Humanistic Mathematics, a peer-reviewed open-access journal that publishes articles, essays, fiction and poetry with a rich variety of connections to mathematics.

     Recently I rediscovered online one of Karaali's poems, a villanelle published almost ten years ago in the Mathematical Association of America's undergraduate magazine, Math Horizons (February, 2015, Volume 22, Issue 3).

A MATHEMATICIAN'S VILLANELLE       by Gizem Karaali

When first did I learn to cherish the bittersweet taste of mathematics?
Mental torture, subtle joy, doubt and wonder, me in meaning
Must have come later, after the games, the limericks, the lyrics.

Strange ceremonies awaited me, mystical hymns, magic tricks,
After the first gulp of water, the first bite, the first bloodletting.
When first did I learn to cherish the bittersweet taste of mathematics?

Geometry List Poem

      Mike Ferguson (America-born but long-time Brit) is a retired teacher of English and creative writing AND a poet.  I offer one of his poems below (a poem developed from a list and found here in Ferguson's blog, gravyfromthegazebo).    Not only is Ferguson's poem mathy and thought-provoking, but it also can be a useful example to use with students.  One of the effective strategies to use to discover and gather thoughts on a particular topic is to create a list.  The activity of writing the list often leads to additional creative thinking and -- if a poem is a goal -- the list can become poetic.  If you've never done so, try it!

"Celebration of the Mind" Day -- October 21

     Established in honor of math-popularizer Martin Gardner (1914-2010), Celebration of the Mind Day occurs on October 21 each year.  Lots of interesting information about Gardner and the celebration-day may be found at this link.      This link leads to previous postings in this blog that feature Gardner and his work.   Not a poet, Gardner called himself "an occasional versifier" and here is an example:

          π goes on and on
          And e is just as cursed
          I wonder, how does π begin
          When its digits are reversed?    

For an array of mathy connections that celebrate the mind and stretch it, explore the links offered above!  

Halloween -- Counting Pumpkins

     Recently I have found a website maintained by Jenna Laib, a K-8 math specialist in the Boston area -- and at her website there I have found a posting of a Halloween poem with accompanying prose that considers the value of using numbers to tell stories.  The poem is below -- and, along with it, the website offers many more.  

More about Raffi and Ken Whitely available at this  link.

A Poem Structured by a Finite Field

       Mathematician Ursula Whitcher is an Associate Editor for the American Mathematical Society's Mathematical Reviews and a poet -- someone whom I first met at a conference, "Creative Writing in Mathematics," at the Banff International Research Station in 2016.  conferences.  She is a versatile writer  -- with a long list of publications available here at her website.

     Here is Whitcher's mathematically-structured poem, "Tuesday," first published in 2019 in the Journal of Humanistic Mathematics, at this link.

     Tuesday     by Ursula Whitcher

          Sometimes it is not possible to mend
          what’s broken, either if you meant
          to prove something impossible, or else
          to save someone. Your best friend has
          not eaten for six days.  Your father loses things. 
          Your brother lies.
          It’s Tuesday, so the week’s no longer new, and yet
          nowhere near done.
          All you can do is move
          and keep on moving, trust
          time changes shattered things
          and lies once known are maps.

Author’s Note. This poem’s form is taken from the structure of the field with seven elements: the meter, in iambs, follows a pattern based on 5, 4, 6, 2, 3, the nontrivial values taken by powers of 5 (mod 7) as it generates the group of units of the field.

Previous mentions of Ursula Whitcher in this blog are listed at this link.

Ada Lovelace Day -- this year October 8

      The second Tuesday in October has been selected as Ada Lovelace Day -- a time for celebrating that pioneering woman and all women in STEM.

     Augusta Ada King, Countess of Lovelace, better known as Ada Lovelace  (December 10, 1815–November 27, 1852) -- and daughter of the poet Lord Byron -- is celebrated as the world’s first computer programmer, the first person to combine the mathematical capabilities of computational machines with the poetic possibilities of symbolic logic (applied with clever imagination).  (Many more biographical details  may be found at this link.)  And here is a link to an interesting article by Johns Hopkins voice Meghana Ravi entitled "Ada Lovelace found poetry in computer algorithms."

     I have posted poetry about Ada Lovelace several times in this blog; here is a link to those past postings.  The following poetic words -- by Ada Lovelace  -- concerning translation of mathematical principles into practical forms -- were first posted back in September of 2015. 

Classroom Difficulties with Mathematics

     Something to think about . . . do some of us still cling? . . . obediently and thoughtlessly . . . to beliefs such as

                I can't / poets can't     understand mathematics
                                or
                I can't / math people can't     understand poetry 

Current interactive teaching/learning processes are helping to revise those negative attitudes -- and my thoughts on the subject were brought to mind by a poem that showed up recently in my email.  It is Poem 15 in the Poetry 180 project, an activity initiated in 2002 by Poet Laureate Billy Collins in 2002 -- a project that provides a poem for students for each day of the traditional school year.  (Each Sunday subscribers get an email that provides a link to a poem for each day of the coming week.)

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.