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:

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.)  

Should I take notes?

One of the things about my learning process that I was not fully aware of during many of my school years was the role that my fingers play in my thinking and learning.  Taking notes -- as I read or as I listen to a teacher's presentation -- helps the ideas to become part of me, even if i do not reread and study the notes afterward.

A Fib about how I think and learn

When I began writing poetry I started to notice that my fingers also became part of the creative writing process . ..  sometimes my fingers wrote words before my mind knew them.  And I loved these discoveries!

Is this writing-thinking link also part of you?

Exploring the truth with a FIB

     Recently I have been reconnected with British-Israeli mathematician-educator, Yossi Elran  (whom I met at a conference in Banff several years ago).  Elran is well known for his puzzle-book, Lewis Carroll's Cats And Rats... And Other Puzzles With Interesting Tails (World Scientific, 2021).  He is in the process of writing a sequel to this book and it will include some math-poetry; probably some Fibs (poems  -- often with just 6 lines -- with syllable-counts per line that follow the Fibonacci numbers).   Elran's recent email query about Fibs helped me to remember that I had one waiting to be posted, a Fib about missed opportunities and status for women.  Here is is:

Exploring the truth with a FIB        by JoAnne Growney

Writing -- a Path toward Knowing

     Advice for my grandchildren -- in the form of a Fib.  (Wish I had remembered to give it on November 23 -- which is Fibonacci day. ) 

 

    1            When

    1            I

    2            want to

    3            understand

    5            something difficult

    8            I grab my pen, write about it.

     I'm not sure when I made the discovery but by the time I was in graduate school  I knew that my learning pattern involved my fingers and my pen.  I copied definitions into a notebook, sometimes trying to rephrase them in my own words.  I elaborated the proofs of theorems . . . my fingers helped me remember.

November 23 is celebrated as Fibonacci day because when the date is written in the mm/dd format (11/23), the digits in the date form a Fibonacci sequence: 1,1,2,3. A Fibonacci sequence is a series of numbers where a number is the sum of the two numbers before it.  A Fib is a tiny poem whose lines have as syllable-counts the first 6 Fibonacci numbers.  

For more Fibonacci-related poems, follow this link. 

CoronaVirus Fibs

     The threats of the coronavirus seem less now, but are not gone.  And, as I go through files, I have found these Fibs -- expressing concerns from worried days.

Lots of previous blog postings with Fibs can be found at this link.

Reduce stress in math class -- write a poem

       Recently I have come across a website for the New England Literary Resources Center -- and one of the suggestions offered for managing stress in a math class is by writing poems; here is a link to a sample of stressed students' poems. 

     My favorite suggestion for inexperienced poets who take pen in hand is to choose a syllable-count structure to follow -- such as a syllable-square or a snowball or a Fib . . .. AND, from the website Pen and the Pad, here are some additional ideas to consider:   How to Write a Mathematical Poem (penandthepad.com)

And, as I worried, I wrote this Fib:

          Stop . . .
          Think . . .        
          Wonder
          What to say!
          I gather my thoughts
          and hope I can make a poem!

Year-end Counting -- with Gratitude

     Year
     ends.
     I count --
     and count on --
     mathy poems shared
     here by countless poets. THANK YOU!

Amid uncertainties -- compose a Fib

How many Corona-virus cases will the new year bring?

Stop,
Think!       
Wonder
What to say . . .
I gather my thoughts
and hope I can make a poem.

Shaping Poems with Numbers

      Numerical patterns can help guide our minds and fingers to create poems -- and one of the patterns I like is the Fibonacci numbers -- a number sequence for which the first non-zero numbers are both 1, and each succeeding number is the sum of the two preceding numbers.

          1, 1, 2, 3, 5, 8, 13, 21, 34, . . .

Formation of a six-line poem using the first 6 of these numbers as syllable-counts, gives a tiny poem that has been named a Fib.

For me, using these Fibonacci numbers  -- starting small and growing -- as syllable counts offers a nice structure for developing my thoughts around a particular topic.  I like it for myself (a couple examples below) and I suggest to my students when I am asking them to share their math-related viewpoints. 

   When                                                   When
   your                                                      your
   father                                                   mother
   is mathy                                               is mathy
   what are the chances                          what are the chances
   that interest is passed to you?           that interest is passed to you?

 These days I celebrate the fact that I have granddaughters who like math!

Celebrating with a Fib

This
Fib
is to
celebrate
all those people who
connect poetry and math -- CHEERS!

For more about Fibs, do a SEARCH of this blog -- or, for one rich source, go here.

In short words . . . a Fib for the New Year!

       I
       want
       to wish
       you a fine
       New Year:  play with words
       and time. Count each short word and line.

     One of the fascinating web-postings I have found recently is this one in which mathematical ideas are expressed in short words -- that is, in words of one syllable.  As you might expect, these creations are sometimes awkward and sometimes insightful.  I invite you to try, as I have done above, your own expression of ideas in short words.

     And if you'd like to find more examples of Fibs (that is, poems in which the syllable counts per line follow the Fibonacci numbers), this link leads to the results of a search of this blog using "Fib."

In the Tuscan sun

View
the
statue
in Pisa
of Fibonacci,
mathematician in the sun.  

Why is SHE less known? . . .

Sometimes matching words to a syllable-count helps to bring focus to my musings.  Here are two stanzas for which I used the Fibonacci numbers as lengths for the lines I built as I considered the continuing invisibility of most math-women. (I have some hope that the second of these is primarily remembering -- and is not true of family child-care today.)

8-5-3-2-1-1    A FIB

HE is famous but SHE is not.
Yet we once judged her
potential
greater
than
his.

Storm Sandy -- and climate change

     That
     storm
     Sandy
     has caused more
     people to believe
     climate change is real and awful
     than the piles of statistics amassed by scientists --
     bad to worse since 1950  --
     ice caps melting, drought,
     sea levels
     rising.
     Oh,
     My!

This poem of mine, with its syllables counted by successive Fibonacci numbers, is a slight revision of one posted on 31 August 2012.  That earlier posting also links to climate change data and to other  FIBS.

Fibs in NZ -- and climate change

     A few days ago, on August 21, it was Poet's Day in New Zealand and the blog sciencelens.com featured a math-poetry theme; that posting mentions the anthology, Strange Attractors:  Poems of Love and Mathematics (for which Sarah Glaz and I are co-editors) and offers several Fibs, poems whose syllable-counts follow the first six non-zero Fibonacci numbers (1, 1, 2, 3, 5, 8, . . .., with each succeeding number the sum of the two preceding). 

A small Fib

My dilemma

   I've
   lost
   the art
   of careful
   thought, asea in floods
   of  trivial  information.               by JoAnne Growney

AWP avoids mathematics

I am currently attending the 2011 AWP* Conference and am disappointed that none of the sessions involves connections of writing with mathematics -- this disappointment has prodded me to write the Fib that I include below. (Recall that a Fib is a poem whose successive line-syllable counts follow the **Fibonacci seqence -- the numbers that count the petals on a flower, the spirals of seedheads on a pine cone or pineapple, and many other natural things.) 

The Fib -- a form that gathers strength

The "Fib" is a poetry form in which the numbers of syllables per line follow the pattern of the Fibonacci numbers.  (See also April 19 and April 29 postings.)   The sequence of Fibonacci numbers starts with 0 and 1 and then each successive Fibonacci number is the sum of the two preceding.  Thus, the non-zero members of the sequence are:
          1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
Poet Athena Kildegaard's collection Red Momentum (Red Dragonfly Press, 2006 ) consists entirely of Fibonacci poems.  The following samples from Kildegaard's collection illustrate the way that increasing line lengths can build to dramatic effect. From a simple start, complexity grows.

Poems with Fibonacci number patterns

In 21st century poetry, there are a variety of non-rhyming forms--and several of them have derived from the Fibonacci numbers.*  The Danish poet, Inger Christensen (1935-2009), wrote a book-length poem, alphabet (New Directions, 2000) in which the numbers of lines in stanzas followed the sequence of Fibonacci numbers.  "Fibonacci," shown below, by Judith Baumel is a shorter example of this form.