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An Ode to Mathematics

July 17, 2019, 7:50 am
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     One of the math-poets that I have met through this blog is Foteck Ivota, a mathematics teacher in the Cameroon.  In an email message, Ivota has offered this point of view:
       I love poetry too so much and I believe poetry  can be used as a means of making students love and develop interest in mathematics. As teachers of this beautiful subject we face a lot of challenges to make students perceive maths as easy and down to earth.   
     Ivota also has shared several poems with me; here is one of them:

      An Ode to Mathematics     by Foteck Ivota

       Your merits, maths, many may miss
       And in ignorance may dismiss
       Marvelous Maths that is life,
       Believing that all is strife.

            Chorus:
                 Maths for you and Maths for me,
                 Maths, Maths and Maths for all,
                 Maths, Maths for everything.    
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Math-Poetry -- Linz, Austria -- 07/19/2019

July 18, 2019, 6:48 am
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     On Friday, July 19, 2-4 PM at the 2019 Bridges Math-Arts Conference in Linz, Austria will be a Reading of Mathematical Poetry that features these poets:

Tatiana Bonch-Osmolovskaya 
     Susan Gerofsky
          Emily Grosholz 
               Lisa Lajeunesse 
                    Marco Lucchesi 
                         Iggy McGovern 
                               Mike Naylorand
                                   Eveline Pye 
reading mathy selections from their work.

And here is a sample of the stanzas you will enjoy at the reading -- from "First Test" by Marco Lucchesi, translated from the Portuguese by Renato Rezende:  
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Mathematicians are not just white dudes . . .

July 22, 2019, 8:52 am
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     Recently I found the wonderfully informative website arbitrarily close: musings on math and teaching -- my first visit to the site was to this 2016 posting about "The Mathematician's Project" -- a project and posting that offers lots of resources and links to introduce us to female mathematicians, black mathematicians, and more . . . 
     The following lines are from a puzzle-poem by mathematician-poet Benjamin Banneker -- a non-white dude; the sample has been obtained from a website that celebrates Banneker -- a website compiled by Washington, DC high school teacher John Mahoney.  These lines come from Puzzle 5:

A snip from a puzzle by Benjamin Banneker
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As in mathematics--a lot in a few words--in Haiku

July 25, 2019, 9:00 am
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     Recently on a visit to the website Singapore Math I found dozens of "mathematical" Haiku -- and I offer several below.   Still more Haiku may be found at "The Republic of Mathematics" (a blog curated by Gary E. Davis), including a link to Haiku by Daniel Mathews.
     Haiku are three-line poems that often -- but not always -- conform to a 5-7-5 syllable count.  With their brevity they often resemble mathematics in that they have condensed a large amount of meainng into a few words.

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What is beauty? Is mathematics beautiful?

July 29, 2019, 9:54 am
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     My thoughts have been turned to the beauty of mathematics by stumbling onto a very fine article, "Beauty Bare: The Sonnet Form, Geometry and Aesthetics," by Matthew Chiasson and Janine Rogers -- published in 2009 in the Journal of Literature and Science and available online here.
      The article opens with this quote from A Mathematician's Apology(see p. 14) by G. H. Hardy:       Beauty is the first test:  there is no permanent place 
                                                   in the world for ugly mathematics.

Today I'm puzzling over what "beauty" means . . .   

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Recursion . . . in a life . . . in a poem . . .

July 31, 2019, 8:01 am
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     The New Yorker offers a rich variety of poetry and in their print issue of 22 July 2019 they give a poem that I love:  "Sentence" -- by Tadeusz Dabroswski  (translated from the Polish by Antonia Lloyd-Jones) plays with two meanings of the word "sentence" and also embodies the concept of recursion -- so important in mathematics.  Below I offer the opening lines; at this link may be found the entire poem (both a print version and an audio recording).

Sentence     by Tadeusz Dąbrowski

It’s as if you’d woken in a locked cell and found
in your pocket a slip of paper, and on it a single sentence
in a language you don’t know.   
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A visual poem -- Decision tree

August 5, 2019, 7:26 am
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Poetry and Science

August 7, 2019, 8:53 am
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     Originally from Scotland, Alice Major is a celebrated Canadian poet whose work often focuses on key ideas in mathematics and science. (Visit her website for lots of links.)  The following lines of Major's verse appear in the Canadian magazine Prairie Fire (offering Major's presentation in the Anne Szumigalski lecture series entitled "Scansion and Science"); they are taken from Major's latest collection, Welcome to the Anthropocene."  Enjoy this sample, then follow the links and read much more:

 . . . poetry by Alice Major . . .

Also from Welcome to the Anthropocene, Major's poem  "Zero divided by zero" is available at this link here in my blog "Intersections -- Poetry with Mathematics" -- and a blog-search leads to lots more of her work.
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Celebrating Paul Erdos

August 12, 2019, 7:50 am
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     One of the most interesting and productive mathematicians of all time was Paul Erdos (1913-1996).  He was author of more than 1416 papers, and his name became associated with a labeling process for mathematicians, an idea called the Erdos Number.  A mathematician who co-authored a paper with Erdos could claim Erdos Number 1.  A mathematician who co-authored with a co-author of Erdos had Erdos Number 2.  And so on.  
     Tatiana Bonch-Osmolovskaya (one of the poets at the 2019 Bridges MathArts  Conference) has written a wonderful poem to celebrate Erdos;  I offer below the central stanza of Bonch-Osmolovskaya's poem; the complete poem is available here.

from:  Paul Erdos    by Tatiana Bonch-Osmolovskaya

          he inhaled and exhaled mathematics   
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Journal of Humanistic Mathematics--a TREASURE

August 14, 2019, 8:31 am
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     Online and available FREE, the Journal of Humanistic Mathematics is a wonderful source of poems and stories and articles that connect mathematics to life.  Thanks to editors Mark Huber and Gizem Karaali who lead the effort to bring us new issues each January and July.  Here is a link to the Table of Contents for the July 2019 issue.   Included in this issue is a thoughtful article by Sarah Mayes-Tang entitled "Telling Women's Stories:  A Resource for College Mathematics Instructors" -- and, related to this, here is a link to postings in this blog found using a SEARCH for "mathematics and women and poem."  (Scroll down the list of postings to find individual poems.)
     This current issue of JHM also offers a selection of five poems and also a folder with insightful reflections in both prose and poetry -- "A Life of Equations Shifting to a Life of Words" by Thomas Willemain.

Follow the links.  And enjoy!
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Counting the Women . . .

August 26, 2019, 1:24 pm
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     Sometimes a professional group or a meeting-agenda or a table of contents contains so few women's names that they are easily counted.  In this syllable-square stanza, I praise the absence of that condition: 

     This stanza and others with similar attitude appear in "Give Her Your Support" -- a poetry-page published recently in Math Horizons.  For the entire collection, follow this link.
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The personal becomes mathematical -- in poetry

August 28, 2019, 11:43 am
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     Elizabeth Barrett Browning (1806-1861) used counting in her description of love in her sonnet that begins "How do I love thee?  Let me count the ways."  Contemporary artist, poet, and retired math professor Sandra DeLosier Coleman finds relationships a bit more complicated -- and builds her description in the poem below on the square root of two.

       Between You and the Root of Two     by Sandra DeLozier Coleman

       I have less chance of knowing you
       than of writing out the root of two.
       How e're I start, it never ends,
       exploring how love lies, pretends.   
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Enrich Mathematics Classes with Poems

August 29, 2019, 7:27 am
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    In my mathematics classrooms, I have found it a challenge to include the history and spirit of mathematics -- and its people -- along with the math topics to be covered.  Because I love poetry -- and also write some -- I gradually became aware of poems that could enrich my classes and I began to incorporate poetry in outside readings and essay topics and class discussions.

Here are links to poems that introduce the lives of four math-women:
     Sophie Germain (1776-1831)
     Florence Nightingale  (1820-1910)
     Amalie "Emmy" Noether  (1882-1935)
     Grace Murray Hopper (1906 - 1988)
And here is a poem about four influential teachers of mine; three of them math-people; three of them women.

Math Anxiety can be a hard topic for student or teacher to bring up -- but airing of views and healing might come from discussion.  Poems to consider include: 
     "Barbie Says Math is Hard" by Kyoko Mori -- a portion is found here in "Girls and Mathematics," Audre Lorde's poem "Hanging Fire" tells of a girl overlooked for the Math Team, and my poem  "Which Girl Am I?" also deals with concerns of mathy girls.  There are many hurdles that girls-in-math face; this link leads to a collection of my recently-published syllable-square stanzas entitled "Give HER Your Support."

Rita Dove's poem, "Geometry" tells of the excitement of learning mathematics; here's its opening stanza:
               I prove a theorem and the house expands:
             the windows jerk free to hover near the ceiling,
             the ceiling floats away with a sigh.

Perhaps the poems cited above will interest you and your students.
     OR perhaps you will want to browse further in this blog --
               perhaps scanning  the list of labels 
                     or conducting a Search for a topic of interest.
ALSO, I invite you to email me your questions (address at page-bottom).
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Is this Fib true?

September 3, 2019, 6:46 am
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     Is
     it
     true that
     among folks
     not anchored to math
     by study or career choice, more
     people show delight in being poor at math than good ?

The lines above have syllable counts that follow the first seven Fibonacci numbers: 1,1,2,3,5,8,13.
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Poems of Mathematics -- recalling some old posts

September 4, 2019, 9:14 am
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     Today I have been browsing some old posts, and offer below a few links to remind us of mathy poems posted in this blog more than five years ago

     “Compromise” by Charles S Allen     
           “Give Me an Epsilon and I Will Treat It Well” by Ray Bobo 
     “The Icosasphere” by Marianne Moore   
          “Mandelbrot Set” by Jonathan Coulton 
     “Numbers”  by JoAnne Growney (a syllable-snowball) 
          “Numerical Landscape” by Eveline Pye 
     “Talking Big” by John Bricuth 
         “Zito the Magician” by Miroslav Holub  
     "Gaps" by Philip Holmes

AND, please go on to SEARCH this blog for lots more poems by Eveline Pye and Miroslav Holub -- and for other names that you find listed in the right-hand column (under Labels . . .).
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Is TWO more than ONE?

September 9, 2019, 9:01 am
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     A poetry friend reminded me recently via email of the poetry of Shel Silverstein (1930-1999) -- both humorous and provocative.  The emailed poem was "Zebra Question" and it employs the strategy so often considered in mathematics -- in testing the truth of a statement, consider also the opposite.   Silverstein's "Zebra Question" opens with these lines:

       I asked the Zebra,
       Are you black with white stripes?
       Or white with black stripes?
       And the zebra asked me,
       Are you good with bad habits?
       Or are you bad with good habits?     
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Colorado Math-Poetry Contest -- deadline 11-12-19

September 11, 2019, 8:19 am
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 CONSIDER THIS ! 
The American Mathematical Society is sponsoring  a  math-poetry contest  
 for middle school, high school, and undergraduate students in Colorado 
(deadline Nov. 12, 2019) with winning poems to be read January 18, 2020
at the Joint Mathematics Meetings at the Colorado Convention Center in Denver.
 Information about contest entry is available here.  

     Last year a similar contest was held in Maryland, with winning student-poems (see poster) read  Jan. 19, 2019 in Baltimore.  And now, for students in Colorado:
       
          Pick
          up
          your pen.
          Think of ways
          that math is magic.
          Shape your words into a poem!

The stanza above is a Fib -- with syllables per line counted by the first six Fibonacci numbers.
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"Creation Myth on a Moebius Band"

September 13, 2019, 8:27 am
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Found at this site, several MINIMS -- brief,thought-provoking poems by Howard Nemerov (1920-1991).  This one deftly uses the mathematical Moebius Band:

          Creation Myth on a Moebius Band    by Howard Nemerov

          This world’s just mad enough to have been made
          By the Being His beings into Being prayed.

This poet frequently used mathematics in his poems.  Here is a link to previous Nemerov postings in this blog.
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Beautiful algebra -- a Haiku

September 16, 2019, 8:23 am
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     One of my recent discoveries has been the POEM GENERATOR website at https://www.poem-generator.org.uk/.  In particular, I have used it to help me to generate Haiku to celebrate special birthdays.  Typically, the generator offers me a Haiku that does not quite satisfy me -- and I tweak it a bit.  STILL, the website deserves most of the credit -- for it has given me a basis to mold.  This morning, I have used the site to help me generate a math-Haiku:

          Beautiful - A Haiku   by  https://www.poem-generator.org.uk/haiku  and JoAnne

             Abstract algebra --
         creations beautiful, so
           useful, breathtaking.

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Sing a Song of Mathematics . . .

September 19, 2019, 1:34 pm
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     One of the long-term supporters of links between mathematics and the arts is Douglas Norton -- a mathematics professor at Villanova University and very active in the Special Interest Group of the MAA (SIGMAA)  that celebrates Mathematics and the Arts.  
     Doug Norton also is a song-writer and often has participated in music activities at the Bridges Math-Art Conferences.  Here is a sample of his math-art lyrics:

     Take A Chance On Me   by Doug Norton

     If you change your mind and want two combined,
     Don’t do Math alone:
     Join the Math Art zone.
     If you do Art, let me know, spread some Math around.
     If you’ve got no place to go with an upper bound,
     Math or Art alone feeling monotone?
     Do as we condone:
     Join the Math Art zone.  
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