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:    

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.

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!  

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.

An infinite design -- in a poem

Like a circle, the "lazy 8" or infinity symbol -- shown below --never ends.

Recently it was a delight to me to find -- here in the Harpy Hybrid Review -- the following diagram-poem by Philip Wexler entitled "INFINITY".   And I have enjoyed reading and rereading -- exploring the ways that shape and meaning intertwine.

Mathy Limericks . . .

     One of the fun-to-visit poetry resources on the internet is the Omnificent English Dictionary in Limerick Form, a website resource that has for a goal the inclusion of at least one limerick for each meaning of each and every word in the English language.  Here is a link to an earlier mention of OEDILF in this blog and here, from the OEDILF site, are a pair of limericks about Calculus -- limericks that are currently awaiting dictionary approval.

          "Was it Newton or Leibniz?" I asked
          My professor. He smiled and then tasked
               Me to find more about
               My small calculus doubt.
          I researched and the truth was unmasked.     

Stimulate Math Class Discussion with Poems

     Sometimes teachers want to understand more about their students' attitudes and concerns about learning a particular subject.  Often, rather than asking direct questions like, "What is your difficulty?" or "Why don't you like geometry?" it can be useful to stimulate discussion with a poem.   The website of the Academy of American Poets, offers at this link a wide selection of poems about school subjects.  Scrolling down through this long list, eventually one comes to Poems for Math Class -- with poems for Algebra, Calculus, and Geometry.  

     One of the Academy's suggested poems is "Calculations" by Brenda Cardenas  -- I offer the first stanza below -- the complete poem is included here in this posting from November, 2017.  

          from    Calculations      by Brenda Cárdenas    

Mathematician of the Day

     On this date, May 16, in the year 1718, the talented Maria Agnesi was born.  A great source of historical information about mathematics and mathematicians is MacTutor, a math-history website maintained by the School of Mathematics and Statistics, University of St Andrews, Scotland.  One of the services that MacTutor provides is a list of names and information about mathematicians born on each day of the year.  For example, this link leads to the listing for May 16 -- and to lots of info about Agnesi.  Here, in a 7x7 syllable-square, is a brief sketch of  her life:

Maria Agnesi's life --

a complicated story --

wealthy and intelligent, 

in love with mathematics,

also very talented--

wrote a teaching text about 

differential calculus.

This 2018 Scientific American blog posting by Evelyn Lamb discusses a curve from calculus, often called (somewhat misleadingly) "the witch of Agnesi."   Previous mentions of Agnesi in this blog may be found at this link.

Some students regret their major

      An article by Andrew Van Dam in the Washington POST earlier this month (available at this link) asserts that nearly 2 in 5 American college graduates regret their choice of major . . .  many humanities majors wish they had focused more on STEM subjects while engineering majors were the group most fully satisfied.  The article has made me think back to my own college days when it was the availability of scholarships rather than love of the sciences that led me there.

From Washington POST "Department of Data" (at this link)

 

     My own view is that education in several fields is far more enriching than focus in a single field -- that the humanities or social science major who wishes she had studied calculus and non-Euclidean geometry and then goes on to do that brings better preparation to her later field of study.  She has knowledge and perspectives to enrich her study of mathematics!

     Consideration of study preferences has led my thoughts to an interesting pair of poems by Duke University Professor Henry Petroski -- poems found in the 1979 anthology of mathematical poetry, Against Infinity (Primary Press, 1979, Edited by Ernest Robson & Jet Wimp).  

Using "mathematics" in a poem

     One of my daily emails is poem-a-day from poets.org -- and yesterday's poem surprised me with the word "mathematics" appearing 4 times in its 28 lines.  Here are several lines:

from  Hunter heart a lonely is the     by Kyle Dacuyan

        child in a novel        that has neither       person nor a substance
        music         mathematics is a dream           makes me see myself

        more loving       when I listen       makes my heart go
        the hunter and a lonely       Remembering is a mathematics

        and the body in its illnesses     the stamina has symphonic
        calculus of living       in a sickness      I can listen now
      . . .

Dacuyan's complete poem -- for reading aloud and contemplation -- is available here.

Looking back . . . to previous posts . . .

  BROWSE and ENJOY!

Back in January 2020 I gathered a list of titles of previous posts and posted it here at this link.  And below I offer titles of postings -- with links -- since that time.

And, if you are looking for a post on a particular topic,
you are invited to explore the SEARCH feature in the right-hand column
OR to browse the list of  Labels (also to the right) -- and click on ones that interest you.

 

TITLES OF POSTS (with links) 

June, 2021    

      Math Communication with Poetry -- Strogatz Prize

      One More Love Poem

      Interpreting Khayyam -- in Rhyme   

      Putting CALCULUS into a poem . . .  

      Images of a Complex World   

      Encryption and Love   

      Every Seventeen Years . . .   

      A Life Made to Count   

      A Few Lines of Parody   

      Euclid and Barbie -- and attitudes toward math . . .

 

May, 2021      

      A Mathy Rhyme from Twitter   

      A Rhymer and an Analyst -- a Friendship   

      What does CANCEL mean? -- some poetic wordplay!   

      MoMath Celebrates Limericks!  

      Reflecting on Pi . . .   

      Keeping Track of Chairs   

      Mathematical Forms in Poetry . . .  

      Mathy Jokes    

      Climate Concerns   

      Celebrate Math-Women -- Celebrate AWM  

Putting CALCULUS into a poem . . .

 Can our world be described using calculus?

     The poem-a-day offering this morning (6/21/21) from poets.org gives me new ideas about describing a problem-situation using some terms from mathematics.  I offer part of the poem below, followed by a link to the complete work.

from  Disintegrating Calculus Problem     by McKenzie Toma

A dramatic clue lodged in a rockface. Set in a shimmering sound belt slung around the grasses. Collections of numbers signify a large sum, a fatness that cannot be touched. Numbers are heart weight in script. Calculus means a small pebble pushed around maniacally. Binding affection, instead of fear, to largeness.  

Ideas are peeled into fours and pinned on the warm corners of earth to flap in a wind. Wind, the product of a swinging axe that splits the sums. This math flowers on the tender back of the knee.     . . . .

     McKenzie Toma's complete poem appears here (with other poem-a-day offerings at poets.org) and and here (along with several others of her poems).

The Woman Who Bested the Men at Math

     An American Mathematical Society Page-a-Day Mathematics calendar, compiled by mathematician and free-lance writer Evelyn Lamb, has let me know today that tomorrow, April 4, marks the birthday of mathematician Philippa Garrett Fawcett (1868-1948), who became, "in 1890, the first woman to score the highest mark of all the candidates for the Mathematical Tripos at Cambridge University." 
     Learn more about Philippa Fawcett at this website, "Biographies of Women Mathematicians,: --  maintained by Emeritus Professor Larry Riddle at Agnes Scott College.  Riddle's biographic sketch of Fawcett includes a poem of anonymous origin that celebrates her 1890 achievement.  Here are its opening stanzas:

Where are you from?

A question often asked when meeting someone new is "Where are you from?" -- one of my neighbors, who was born in India and now lives in Maryland, has written a poem that considers many ways one might answer that question.  Today, I have been thinking about it too.  Here are several of my beginning thoughts . . .

     I am from the barn yard, counting chickens
          I am from arithmetic, multiplying
               I am from algebra, solving
                    I am from calculus, integrating
                         I am from poetry, looking for words   . . .

Dogs Know . . . Mathematics

     A mathematics/statistics education researcher who writes both poetry and song lyrics -- who writes these often and well -- is Lawrence "Larry" Lesser, professor at The University of Texas at El Paso.  A search of prior postings in this blog leads to a variety of Lesser's poems: here's a link.
   And here is another Lesser poem to enjoy  -- this one found along with lots more math-poetry in the Bridges 2016 Poetry Anthology, edited by Sarah Glaz (Tessellations Publishing, 2016).

   
       Dogs Know     by Larry Lesser

       A dog-eared College Mathematics Journal lies
       open to a paper called
       "Do dogs know calculus?"
       where the author's canine travels land
       and water to reach most quickly
       the ball thrown
       into Lake Michigan.  

If 1718 is a poem title . . .

If 1718 is a poem title, 

the poem should celebrate Marie Gaetana Agnesi (1718-1799)

author of the first book about both differential and integral calculus.

This post celebrates not only Agnesi (who was born 301 years ago today) but also present-day mathematician and writer Evelyn Lamb who produces lively and informative articles about STEM topics and people.  Go here to read Lamb's article about Agnesi for the Smithsonian Magazine on May 16, 2018 -- celebrating Agnesi's 300th birthday.

Life, Liberty, and the Pursuit of ... Mathematics

     One of my favorite mathy authors is Lillian R. Lieber (1886-1986) and one of the websites that has recently featured her work is the energetic and eclectic brainpickings.org (authored by Maria Popova) -- in a posting recommended to me by my Bloomsburg, PA poetry-friend Carol Ann Heckman.  Carol alerted me to a January 2018 brainpickings posting about Lieber -- a writer whose poetic treatise, Infinity: Beyond the Beyond the Beyond (Paul Dry Books, 2007) is a reading I once recommended to her as an aid in understanding calculus.  Originally published in 1953 and illustrated with striking drawings by Lillian's collaborating husband, Hugh Lieber, Infinity also had enriched my own understanding of some challenging concepts.  The Heckman-recommended posting offers ideas from an out-of-print gem by Lieber entitled Human Values and Science, Art and Mathematics -- and here are a few opening lines from that collection that seem very relevant today:
   
     This book is really about
     Life, Liberty, and the Pursuit of Happiness,
     using ideas from mathematics
     to make these concepts less vague.  

Burma Shave Mathematics

     One of the positive aspects of many math journals is that they are not shy about including poems that related to mathematics -- a negative aspect of that practice is that the poems are not included in the Contents listing for that publication.  And so, the fact that my poem "A Mathematician's Nightmare" appears on page 31 of the February 2001 issue of Math Horizons is lost to all but those of us who have a copy of that magazine.  Also unrecorded in these Contents is a page-full of rhymes written in response to a contest that asked for math poems composed in the style of road-side advertising for Burma Shave.  From the late 1920s to the early 1960s, US highway travelers encountered various series of small signs advertising the product.  I remember, as a child, attempting to guess what was coming next as our family car drove past a series of these signs.  Here are two examples (from Wikipedia):

   A shave / That's real / No cuts to heal / A soothing / Velvet after-feel / Burma Shave
   Past / Schoolhouses / Take it slow / Let the little / Shavers grow / Burma Shave  

November 1 deadline for Math Haiku

     The Journal of Humanistic Mathematics has issued a call for Mathematical Haiku -- follow this link for the guidelines and instructions on how to submit your work.  Since I did not, at first, understand that the submission request is for only three Haiku, I gathered more.  Here are several of my leftovers -- involving multi-syllabic mathematical terms --  that I was not able to include in my submission:

Algebra

axiomatic

associativity

isomorphism

Calculus

differentiate

enthusiastically

conditionally

Geometry

non-Euclidean

axiomatization

parallelism

My Math Teacher

     The 2016-2017 school year is drawing to a close.  Some are loving their math teachers and some are celebrating them with poetry.  Here are the opening stanzas of a poem by Mia Pratt about her teacher -- the complete poem is found at here (at PoetrySoup.com).

     My Math Teacher     by Mia Pratt

     My math teacher was such a colorful character
     she was the queen of Mathematics at our school
     she loved linear regressions and probability
     and permutations and combinations too!

     My math teacher loved to
     entertain us with her Listerine coated smile
     and her heart as pure
     as the golden sand on Small Hope Bay
     she loved making calculus and matrices fun for us
     while March 14th was her second Christmas
     and grading our exams was her New Year's Day!
              . . .

Poet and novelist John Updike (1932-2009) was a math teacher's son  -- here is a link to his sonnet, "Midpoint," about his father.  Additional poems about teachers may be found using the blog SEARCH.