npm17 5+6+7

Catch-up time!  After an Armageddon of a week, I am finally on Spring Break and have a little time to relax and think mathematical thoughts again, and as a bonus, starting on Friday, I'm going to be posting a poem for two voices by one of my Diamond Miners each day.

The following are poems I had written earlier for Your Days Are Numbered, so I'm cheating a little, but I do actually want to catch up here!


April 5

The Extra Five Days

Three hundred sixty-five days in a year--

   any year--

   any year but a leap year

   a year like the year I was born

Three hundred sixty degrees in a circle--

   any circle--

   a circle the size of my eye

   a circle the size of the sun

     Five degrees or five days’ difference--

   or maybe six--

five nights of sleeping, five days of being--

doing and being and counting.           

 I         revolve around

     revolve around

     revolve around       and leap

but somehow the wheel of my year

stays five days ahead of a circle

 © HM 2016

April 6

Zero Counts Nothing

Zero is 

the great circle of being,

the all and the nothing, 

the everyone, the all of us.

Zero is 

the navel and the null,

the power and the nought.

Without zero

nothing could not be counted,

but only felt,

a hole in the fabric of things,

the holy gap that

no one can mend,

but everyone must mind.

© HM 2016 

April 7


      Three

3 is the magic number,

          bulging with possibilities.

                   One thing leads to

       another and then another.

Beginning middle end.

      3 has eyes to see and ears to hear.

                   3 purses its lips and blows 

             a kiss to the future.

Promise of wishes fulfilled.

© HM 2016

 
I'm also going to allow that this poem counts for April 8, and later today I'll be working on 9 and 10!

notional poetry math number 4

Tweeted today's math poem:

60 minutes, 24 hours, 7 days: counting how time is endlessly never enough

#npm17 #notreallyforkids

npm17: number 3

npm17 number 2

npm17 number 1

art by Michael Albert ~ cerealism.com

I know you thought NPM stood for National Poetry Month, but here at my juicy little universe, it stands for Notional Poetry Math,
Notional means "existing only in theory or as a suggestion or idea," and that's what I have going here, folks.


I'll be attempting to post each day a new or reworked poem--for young readers--that addresses mathematical ideas, concepts, experiences and expressions.

I'm beginning with  = .








draft (c) HM 2017
               

let the wild rumpus begin! 2017 Progressive Poem starts here

Greetings to all and Happy National Poetry Month!

I have many reasons to love April, the very first being that, back in 1999, when offered a choice of birthdays for my overbaked bun in the oven, I selected April Fool's Day. (My thinking was that if you could choose April Fool's Day, then whyever would you prefer boring old March 31 or April 2?)

A quick calculation reveals that said bun turns 18 this year, is a senior in high school, and has been living in the throes of college application season for months now. (All results are in now; looks like she'll be able to go somewhere--phew.)

 
My Little April Fool is definitely no longer a child, and also not grown up exactly, but even so she has inspired the first line of our Progressive Poem for kids this year, which Irene so generously invited me to kick off.  (I believe that without being told as much, Irene knew that I needed some practice sending things unaccompanied out into the world.)

So here we go, with a line designed to speak to an audience of kids in the throes of any fever, spring or otherwise...let's keep it real, folks!

*********************************************

 
        I'm fidget, friction, ragged edges--





And now it's on to my mate Tabatha up the road for Line 2.  I've given her a headstart by posting a little early, with Irene's blessing.  Let the wild rumpus begin!*


*Yes, I know that I'm misquoting Maurice here, but I have always felt that the word "start" in this line constitutes a missed rhythmic opportunity that I can't help but fix with "begin."  Apologies for wearing my poetic wolf suit.

on voice: moon tags world

This week I have cause to reflect on my expressive teaching style (sometimes characterized as "mouthy") and what it begets.  Apparently, compared with 2nd grade classes down the hall, my 2nd graders' passage through The Great 2nd Grade Change is a little louder and more fraught with opinionated statements and argument.  Apparently my modeling is powerful, and all that complex, passionate speaking I do causes my 7's-turning-8 to feel that they also have a right to speak passionately and in detail.  Apparently I am doomed to wrestle my students for the Talking Stick on an hourly basis, unless I am willing to apply a double standard that allows me an endless right to speak and them the right mainly to listen quietly.

There are more nuances at work in this scenario, of course, but this is how things are looking this week, the week when we strove through a 75-minute class meeting aimed at resolving a giant playground conflict involving two-thirds of the class. Everybody talked; nobody passed.

On the other hand, perhaps my mouthy teaching style also begets this poem for not one but TWO voices by Madelinne.  She's a shy and gentle soul whose journey toward English literacy has been quiet, long and effortful.  But if my hourly wrestle for the Talking Stick has anything to do with this beautiful breakthrough of confidence and voice, it is all worth it.

It was her idea, at the end of our 2-week study of poems for two voices; it was my suggestion to begin with "Hello, world"; it was her proud excitement to come and show me that "I wrote it all myself!"

The round-up today is with Amy at The Poem Farm.  Her "First Catch" is the poem I use to kick off our Poems for Two Voices project, and it works beautifully for teaching point of view--emotionally engaging, basic enough for even the least experienced readers, rich enough to inspire the most experienced.  Thanks, Amy, for this and every other wonder you put out there for our kids and their voices!

mathemagical thinking & NPM challenge

www.fromvictoryroad.com 

The world is such a different place these days...

No, I'm not going rail against the state of our democracy or the demise of our Earth (again), but I am going to take on a polarization of positions that is just not serving us any longer.

It's that divisive notion that in this world there are word people and there are math people and that they are fundamentally different.



I shouldn't have been quite so slow to get here, since both my offspring are walking talking reminders that you can have a natural knack for both spelling and calculus, for both algebra and narrative.  But I was raised (through absolutely no ill intent on the part of my parents) to understand that I was a word person, a poet, and that I would not be good at math.  When they took me out of kindergarten because I could already read and put me in first grade, I cried on Mrs. Walker's lap because I knew I was "smart," but there was something about subtraction that, try as I might, I just couldn't get.

Now, developmentally speaking, that was true.  I was not ready at 6 to travel easily backwards on the number line, and I WAS a person who needed concrete models that were not offered to me.  The whole 100 chart did not lie open before me in my mind's eye, the way it does for some of those kids whom I would have called, as recently as last year, math brains. I couldn't get it--YET.

So I struggled through, taking no fewer than 4 years to memorize the multiplication table because it was only that for me--memorization of unanchored phrases, not representations of numerical relationships. I learned the logarithms of borrowing and carrying without understanding what they achieved as a computational efficiency.  (When I finally encountered Base Ten blocks at the age of 22 in a Math for Teachers course, it was a moment of Great Enlightenment!) No one ever said to me, "Heidi, math is a language, and you're good at languages.  Off you go."

And then last year, aged 52 and teaching 2nd grade for the first time, I realized that I had never really understood the function of the equal sign.  Seriously.  I had been teaching my kindergarteners about number "sentences" which are special "because you can read them left to right AND right to left," because I myself had never come to my own solid understanding of what "balancing an equation" really means, an equality on either side of a fulcrum.  Now I'm finally getting that the grammar of math may be different than the grammar of English (or German or French or Spanish, all of which I get), but it's still a system, with--as my math major daughter will attest--a lot less need of fuzzy uncertain interpretation than English!

Imagine learning all this anew in the middle of middle age!  Now I'll just let you watch this video that in ONE WEEK transformed all of my students' attitudes about who is and who isn't, who can and who can't be, strong mathematicians.  It came to me through colleagues who are studying this "duh-obvious" yet only recently explored idea of growth mindset, a concept which I knew but had not really applied to myself until I began to think about me and math.  It's long but it's worth it.

Now you may be asking, "What has all this to do with POETRY?"  Last summer I started planning a collection of math poems for young readers, but its concept was very different even eight months ago than it is now.  Now I'm positively excited to explore some of my own math development through poetry, and I'd like to ask for your help with a National Poetry Month challenge for myself.

I'm going to try to draft a math poem each day in April, and while some of the poems will be specifically about number and operations, I also want to write about experiences of math learning.  Will you help me gear up by leaving your math thoughts, questions, anecdotes and confusions in the comments?  I'd love to have a trough full of math fodder to dig into as I embark on my project.

I leave you with a poem I wrote when my mathematician daughter turned 8, and with thanks for sharing your mathemagical moments if you choose to!
                                                                   (c) Heidi Mordhorst 2007

According to my calculations, Catherine is our host today over at Reading to the Core.  Off you go, in search of the only solution to the problem of dichotomy...you know it's POETRY.

Ireland O Ireland

I tried to write with ire about Ireland, but my associations are all too jolly, somehow.  Those leprechauns are powerful.

Linguistic Jig

There's Donegal, Dublin and Derry,
Kildare and Kilkenny and Kerry;
To the east Meath and Louth,
with Cork to the south;
In the middle is old Tipperary.

And we mustn't forget County Limerick--
it gives us that verse with a glimmerick
of fiddle and whistle,
of bodhran and thistle--
the limerick is more than a gimmerick!

To begin you belabel the folk:
"There once was a man in a cloak."
You then rhyme his tale,
Perhaps sprinkled with ale,
And end with a right bawdy joke.


Enjoy the below, and then jig on over to Life on the Deckle Edge for today's round-up with Robyn!

mooning around

The moon, while ancient, never gets old. 
We never tire, we humans,
of searching the moon:
finding it wherever it is in the sky,
mining its faraway & so close surface for messages,
timing its passages,
assigning it metaphors and meanings
for every night of every day.

In second grade, we study the moon to observe changes over time.  Now, in addition to all the poems ("The New Moon" by Eve Merriam, "Del Ombligo de la Luna" by Francisco X. Alarcon, and my own "The Moon Moves") we already use to enrich our moon study, I can bring in Laura Purdie Salas's If You Were the Moon and, from Elaine Magliaro's collection Things to Do, "Things to do if you are the MOON."

Laura's book came to me a little too late to use as our kick-off this year, but next year, that's what I'll do.  It's that perfect combination: lyrical language connecting personal experience of the moon to each reader and nuggets of concise scientific information. Jaime Kim's friendly illustrations do a lot to clarify the concepts.  A page that many of my students will find really helpful is

Catch and throw.  Catch and throw.
                At night, the moon seems to glow in the sky.  But the moon is made of rock.  Like the
                Earth, it does not create any light.  Instead, the moon "catches" light from the sun
                and "throws" it toward Earth.

Elaine's poem covers some of the same ground (how could it not?), and yet makes the moon new again.  I hope she and illustrator Catia Chien will forgive the amateur photography, but besides wanting to show off the whole gorgeous page, this busy teacher doesn't have time to fight Blogger over the formatting of this perfect poem!

from Things to Do by Elaine Magliaro (Chronicle Books 2016)

Nope, it never gets old, the Moon.  Moon on over to Michelle and Today's Little Ditty for the "round"-up today!

All-Billy Birthday Extravaganza!

Welcome, all!  This week for Poetry Friday--thanks to the popular suggestion of Linda Mitchell at Mary Lee Hahn's blog last week, all who care to are posting a favorite Billy Collins poem (or Billy-inspired original.  March happens to be his birthday month--the great man turns 76 on March 22.  Leave your links here starting at 8pm, Early Birds!

I thought to challenge myself by finding a BC number that might actually appropriate for kids, unlike the one being famously recited (you know I had to post it) by this wee acolyte at the altar of words:

But I haven't found a satisfactory one, so I'm going with this one, dear to the heart of mothers and former sleep-away campers) everywhere.


The Lanyard || Billy Collins

The other day I was ricocheting slowly

off the blue walls of this room,

moving as if underwater from typewriter to piano,

from bookshelf to an envelope lying on the floor,

when I found myself in the L section of the dictionary

where my eyes fell upon the word lanyard.

No cookie nibbled by a French novelist

could send one into the past more suddenly—

a past where I sat at a workbench at a camp

by a deep Adirondack lake

learning how to braid long thin plastic strips

into a lanyard, a gift for my mother.

I had never seen anyone use a lanyard

or wear one, if that's what you did with them,

but that did not keep me from crossing

strand over strand again and again

until I had made a boxy

red and white lanyard for my mother.

She gave me life and milk from her breasts,

and I gave her a lanyard.

She nursed me in many a sick room,

lifted spoons of medicine to my lips,

laid cold face-cloths on my forehead,

and then led me out into the airy light

and taught me to walk and swim,

and I , in turn, presented her with a lanyard.

Here are thousands of meals, she said,

and here is clothing and a good education.

And here is your lanyard, I replied,

which I made with a little help from a counselor.

Here is a breathing body and a beating heart,

strong legs, bones and teeth,

and two clear eyes to read the world, she whispered,

and here, I said, is the lanyard I made at camp.

And here, I wish to say to her now,

is a smaller gift—not the archaic truth

that you can never repay your mother,

but the rueful admission that when she took

the two-tone lanyard from my hand,

I was as sure as a boy could be

that this useless, worthless thing I wove

out of boredom would be enough to make us even. 

from The Trouble with Poetry (2005)

I'm hoping to have time to put together a "Golden Spine" poem--as you can certainly guess, that's a poem made of the stacked titles of another poet's poems, in tribute to their genius.

In the meantime, the InLinkz froggy will help you hop from Billypad to Billypad, and I pledge to eventually make it to each and every post this weekend.  Thanks for stopping by!

An InLinkz Link-up