Self-Interrogation

The evening passes fast away.
'Tis almost time to rest;
What thoughts has left the vanished day,
What feelings in thy breast?

"The vanished day? It leaves a sense
Of labour hardly done;
Of little gained with vast expense—
A sense of grief alone!

"Time stands before the door of Death,
Upbraiding bitterly;
And Conscience, with exhaustless breath,
Pours black reproach on me:

"And though I think that Conscience lies
And Time should Fate condemn;
Still, sad Repentance clouds my eyes,
And makes me yield to them!"

Then art thou glad to seek repose?
Art glad to leave the sea,
And anchor all thy weary woes
In calm Eternity?

"Nothing regrets to see thee go—
Not one voice sobs, "Farewell;"
And where thy heart has suffered so,
Canst thou desire to dwell?

"Alas! the countless links are strong
That bind us to our clay;
The loving spirit lingers long,
And would not pass away --

"And rest is sweet, when laurelled fame
Will crown the soldier's crest;
But a brave heart, with a tarnished name,
Would rather fight than rest."

Well, thou hast fought for many a year,
Hast fought thy whole life through,
Hast humbled Falsehood, trampled Fear;
What is there left to do?

"'Tis true, this arm has hotly striven,
Has dared what few would dare;
Much have I done, and freely given,
But little learnt to bear!"

Look on the grave where thou must sleep
Thy last, and strongest foe;
'Twill be endurance not to weep,
If that repose be woe.

The long fight closing in defeat—
Defeat serenely borne—
Thine eventide may still be sweet,
Thy night a glorious morn!

Emily Jane Bronte (1818-1848)

Commenced in Brussels a fortnight before the author left for home on account of the death of her aunt and foster mother, Miss Elizabeth Branwell.

Taken from The Complete Poems of Emily Jane Bronte,
Columbia University Press, NY

What REALLY Happened

Sunshine and Clouds

After nearly a week of gray skies and nearly incessant wind and rain the sun made a welcome appearance. I took a break from my work to walk and enjoyed the sunshine and clouds!The clouds are so varied in shape and color! I can see why David misses his Michigan clouds out here in California of the typically blue and entirely cloudless skies.It's been pretty damp, which has made the fungus happy!Over our house it seems the sky is undecided today, split between sun and shower.

Window on Society

I'm not sure whether or not I can attribute this to the prevalence of cell phones, texting, chat, and tweeting, but I was absolutely blown away by something that happened in one of my classes today.

In this particular class the noise level is a problem. I have a small group of students in the back who are chatty, and (until today) I had been trying to deal with the problem by patiently working with these students to bring them to a point of understanding appropriate classroom behavior. It may sound strange for a teacher to say that - I mean, just kick 'em out, right?

Well, it's an entry-level class (basic arithmetic for adults), and I'm more patient there than I would be in another class because part of the class for some students is learning how to learn and how to be in a classroom as well as learning how to do math. Today, however, I finally had to come down hard because the noise level is such a problem, and we're now beginning week 2. Yet even after coming down hard I STILL had to give reminders to quiet down. Tomorrow I have no choice but to start kicking people out. I've only ever had to do that once before in 15 years of teaching at the college level, and I'm not looking forward to doing it.

But, I digress . . .

Back to today. At the beginning of class I explained the structure of class for the day and gave the students a project to work on while I was handing out papers. I also assigned some reading in case they got done with the project before I got the papers handed out. Just prior to giving directions was when I had come down heavily about the noise and let them know that while doing this work (even though I wasn't lecturing) it needed to be quiet so people could focus. After handing out the papers I asked if there were any questions on the prior homework assignments. One student said "yes" and was looking through his work to find his question. I waited as he found his place.

At this point a student from the group in the back raised her hand and asked what we were doing. I restated that it was time for students to ask questions if they had them. She said:

"This is so confusing! It's so quiet. I don't know what we're doing!"

She was clearly very uncomfortable with the quiet, and I think that's what's going on with that group of students in the back. They're not being belligerent. They're not wishing to be disrespectful of the students around them. They're just so panicked by silence - and, I think, so used to "chatting" (text, tweet, etc.) all the time even when with others or when doing something else, that we now have a society where some people are growing up not knowing how to be quiet or how to be comfortable with silence, even for a moment!

I jumped right in and said something I don't think has ever occured to her before:

"It's OK for it to be quiet!"

Perspective

CONSOLATION GROOK

Losing one glove
is certainly painful,
but nothing
compared to the pain,
of losing one,
throwing away the other,
and finding
the first one again.

- by my favorite poet/mathematician/game inventor Piet Hein :-)

OH! And here's another I hadn't seen before - just now found it on a Norwegian blog. I'm not sure what the standard English translation is, but this sounds good to me!

Husk at glemme bagateller.
Husk at nemme hvad det gælder.
Husk at elske, mens du tør det.
Husk at leve, mens du gør det.

A very free translation:

Remember to forget the unimportant details.
Remember to understand what is important.
Remember to love, while you still dare to.
Remember to live, while you are still alive.

One Week In

Well, I'm glad I posted my previous post when I did. It's fun for me to look back at and remember what life was like merely a week ago - to remember that relaxation did, in fact, happen!

It now seems like an eternity since then, and I've only been back at work 4 days! I'm kind of numb at this point and have nothing "nifty" to say, but this is life right now, so I'll share a bit about my real life. I love teaching, and I love math, but I have 2 new preps this semester - and they are cool preps (one is a class I've been waiting 15 years to teach!), but they require a LOT of creativity to plan.

One of the biggest struggles for me is not so much the teaching as dealing with the schedule - having an 8am class and having a sleep disorder. I always avoided 8am classes as a student, not just because I'm not a "morning person" but because of this sleep disorder and because getting up early literally makes me feel ILL. I avoided it as a student, but in my first year tenure-track I don't have a lot of say in my schedule. In fall 2010 my earliest class will start at 9:30, and I'll teach a night class as well as my day classes. That will work a lot better for me! I won't feel sick all the time.

The first week of a new semester always proves to be crazier than I had remembered -- and then I remember:

- dealing with attendance and wait lists and adds - getting acclimated to the personalities of the classes (all unique) - getting the paperwork set (attendance sheets, grade sheets, etc.) - getting the students on track (going over syllabi, setting routines in motion, etc.) - trying to begin to learn the names of 200 people - having multitudes of people I don't yet know coming up to me letting me know about specific needs or requests or asking to be added on to the end of my waitlist in an already overflowing class (budget cuts - don't ya love it?!) - and having to turn people away, which I don't like to do and doesn't feel good - starting out with review material and students at a variety of levels (some bored, some terrified, some in-between) before we hit our pace as a class and it's all new stuff for everyone (cohesive) -

That whole starting over thing is both a cool and a difficult aspect of teaching. On the one hand you do get a fresh start rather frequently, and that's really neat if you have a semester that's not going so well; it only ever lasts so long. On the other hand, after spending 4+ months getting to know students and building relationships it's kinda weird to start all over again with a whole new group (and a large new group at that!).

This semester has me feeling rather schizophrenic. I begin the day teaching calculus, and my second class is "Math 10," which is a basic skills class below pre-algebra. So far we have covered place value and addition of whole numbers. The tricky part with that class is how to get to an "aha" moment with students who have heard these things over and over before but haven't had that "aha" moment yet - much harder than teaching calculus! MUCH! I wind up the day with my 101 classes - "Math for Liberal Arts Majors" aka "Math Appreciation" aka "Math for Poets." (I object to the derogatory way in which that is usually said because I hold poets in the highest regard!)

For most of those students (101) this is the last math class they need to take. Ever. I have about 50 students in each of those classes - and such a variety it is! Some really like math - some are there because they need a transfer-level math class and this is one that ISN'T calculus or statistics (i.e. default option). So it's an interesting mix. My goal is to give them a view of Math (capital M) so that they know it is more than algebra and arithmetic.

We have begun with a geometry unit - today we looked at the mathematics of M. C. Escher's artwork. Next week we move to fractal geometry and the next to non-Euclidean geometry - then networks and graphs and on and on. I'll also teach math history, logic, set theory (including Cantor's work with infinity) and so on. I'm so excited to be teaching this class, but it takes a lot of time and mental energy (for creativity) and requires bringing in a lot of extra resources and materials - and a bit of outside research for me - not at all like teaching calculus or algebra in which the curriculum is driven by the book.

I am realizing I need to internalize that no matter how wildly creative I am and no matter how much I try to make the class engaging there will still be some number of people in there who are just there because they have to be and don't want to engage - not all, but some. I understand that, I really do understand that, but it's hard for me sometimes, especially when I put so much into it, am trying so hard to make it engaging (to my "poets") and am so jazzed about it - and am really trying to make a difference.

Well, that's my life right now - textbooks open in front of me all the time, even during dinner and breakfast - working pretty much from the time I get up until the time I go to bed - papers scattered everywhere - sleep deprivation and all - but hoping somehow in the midst of it I am making a difference. I'm thankful for the long weekend (Monday holiday for Martin Luther King Jr. Day) and am hoping, hoping, HOPING to get on top of my grading and initial paperwork and get planned ahead a bit because I really need to be able to engage in a bit more of life than just teaching - wonderful as teaching is!

So that's how it is one week in.

Reaching Back

Well, as of Monday vacation will be officially over over - although I've already been attending meetings and planning and preparing all week and throughout the break. Before getting back in the classroom I just want to look back at break - times of fellowship and gaming and celebrating - what a good break we had!!

For the first time since August I got to truly relax . . . ahh . . . so many books, so little time!!We had friends and family over and played lots and lots of games! I even played a game of solitaire Mah-jongh and won. Here's the proof (might not happen again for a while!).We had fun celebrating the season - decorating our new house for the first time - having everyone at our place for the Christmas day meal - getting cards, letters and pictures from friends and family near and far - good stuff!
I love this picture Sierra took of me at our family party!We celebrated at Mom and Dad's too! . . . and the guys opened gifts grom Grandma in Michigan!David and the boys were back at it a week ago - note the somber expressions - actually they've made a good transition back, and I trust I will too, but it's good to look back and remember the awesome (and much needed) break that we had!
Happy New Year everyone!

Lorelei

It is no night to drown in:
A full moon, river lapsing
Black beneath bland mirror-sheen,

The blue water-mists dropping
Scrim after scrim like fishnets
Though fishermen are sleeping,

The massive castle turrets
Doubling themselves in a glass
All stillness. Yet these shapes float

Up toward me, troubling the face
Of quiet. From the nadir
They rise, their limbs ponderous

With richness, hair heavier
Than sculptured marble. They sing
Of a world more full and clear

Than can be. Sisters, your song
Bears a burden too weighty
For the whorled ear's listening

Here, in a well-steered country,
Under a balanced ruler.
Deranging by harmony

Beyond the mundane order,
Your voices lay siege. You lodge
On the pitched reefs of nightmare,

Promising sure harborage;
By day, descant from borders
Of hebetude, from the ledge

Also of high windows. Worse
Even than your maddening
Song, your silence. At the source

Of your ice-hearted calling-
Drunkenness of the great depths.
O river, I see drifting

Deep in your flux of silver
Those great goddesses of peace.
Stone, stone, ferry me down there.

Sylvia Plath (1932-1963)

New Year Reminder

If we continue to do today
what we did yesterday,
we will not be ready for tomorrow.

- author unknown

Like a Bicycle

Life is like riding a bicycle. To keep your balance you must keep moving.

- Albert Einstein (1879-1955)

12 Days of Christmas Can-Can

For the Time Being

He is the Way.
Follow Him through the Land of Unlikeness;
You will see rare beasts, and have unique adventures.

He is the Truth.
Seek Him in the Kingdom of Anxiety;
You will come to a great city that has expected your return for years.

He is the Life.
Love Him in the World of the Flesh;
And at your marriage all its occasions shall dance for joy.

from: For the Time Being: A Christmas Oratorio
W. H. Auden (1942)

No Comment

Sets a Thing Significant

Death sets a Thing significant
The Eye had hurried by
Except a perished Creature
Entreat us tenderly

To ponder little Workmanships
In Crayon, or in Wool,
With "This was last Her fingers did"—
Industrious until—

The Thimble weighed too heavy—
The stitches stopped — by themselves—
And then 'twas put among the Dust
Upon the Closet shelves—

A Book I have — a friend gave—
Whose Pencil — here and there—
Had notched the place that pleased Him—
At Rest — His fingers are—

Now — when I read — I read not—
For interrupting Tears—
Obliterate the Etchings
Too Costly for Repairs.

Emily Dickinson (1830-1886)

Time

I love this quote and this comic, but somehow I think it applies more to my life than that of my teens!!

Weekend Edition Puzzle

While listening to NPR's Weekend Edition yesterday, I heard the following puzzle, which was created by Scott Kim:

Name five two-digit numbers that are evenly spaced out — like 32, 34, 36, 38 and 40 — in which all 10 digits from 0 to 9 are used once each. What numbers are these?

My son came up with one answer, which I thought was the only one, but when I gave it as extra credit to my students today as they were taking their exam I saw two other correct answers as well. Can you solve solve this puzzle? Can you come up with more than one answer?

After December 17 I will put the answers I am aware of in the comments section. No fair peeking until you've come up with a solution of your own! If you come up with one I do not have listed, please comment and let me know!

PS I've also posted this on my "Fun Math" blog. If you are interested in more things of this type, you might want to check it out at:

http://heidifunmath.blogspot.com/

BY THE WAY, if you are reading this before noon on Thursday, December 17, you can still enter. Go to Weekend Edition at http://www.npr.org/templates/story/story.php?storyId=121382258 for details.

Wingless

Though long (usually I have most appreciation for short poetry) this is one of my favorite poems. I find it very clever while at the same time very accessible, two characteristics I also like in poetry. Even if you, like me, are not a fan of long poetry, you might want to give this one a chance.

In my search for it online (so I didn't have to type it all out myself), I came across a wonderful post centered on this piece. It has some lovely positive thoughts on the ways in which we connect in our modern world - and it tells an interesting story that I enjoyed very much. How cool that as I looked for a poem to share on my blog I found a lovely story about connecting on someone else's site, which in itself was an interesting way to connect.

The Labyrinth

Anthropos apteros for days
Walked whistling round and round the Maze,
Relying happily upon
His temperament for getting on.

The hundredth time he sighted, though,
A bush he left an hour ago,
He halted where four alleys crossed,
And recognised that he was lost.

"Where am I? Metaphysics says
No question can be asked unless
It has an answer, so I can
Assume this maze has got a plan.

If theologians are correct,
A Plan implies an Architect:
A God-built maze would be, I'm sure,
The Universe in miniature.

Are data from the world of Sense,
In that case, valid evidence?
What in the universe I know
Can give directions how to go?

All Mathematics would suggest
A steady straight line as the best,
But left and right alternately
Is consonant with History.

Aesthetics, though, believes all Art
Intends to gratify the Heart:
Rejecting disciplines like these,
Must I, then, go the way I please?

Such reasoning is only true
If we accept the classic view,
Which we have no right to assert,
According to the Introvert.

His absolute pre-supposition
Is--Man creates his own condition:
This maze was not divinely built,
But is secreted by my guilt.

The centre that I cannot find
Is known to my Unconscious Mind;
I have no reason to despair
Because I am already there.

My problem is how not to will;
They move most quickly who stand still;
I'm only lost until I see
I'm lost because I want to be.

If this should fail, perhaps I should,
As certain educators would,
Content myself with the conclusion;
In theory there is no solution.

All statements about what I feel,
Like I-am-lost, are quite unreal:
My knowledge ends where it began;
A hedge is taller than a man."

Anthropos apteros, perplexed
To know which turning to take next,
Looked up and wished he were a bird
To whom such doubts must seem absurd.

W. H. Auden (1907-1973)

Quote of the Day

Nothing is foolproof to a sufficiently talented fool.

author unknown

A Day in the Life

We had a good day yesterday, and for some reason I was in the mood to capture it with images. It was a day of work and of fun, of getting things done and of enjoying each other.David made more progress in the garage by building MORE shelves to hold MORE stuff - a seemingly endless process!We got our first Christmas decorations put up for the year. For the first time ever we have a fireplace and mantle - a place to put stockings and a way for Santa to get in! :-)We even got our tree! YEA!! (I'm not sure when it will get decorated, but it's here and up at least!)I began preparing an extensive study guide for my calculus students to use as they prepare for the final exam in a week.The weather changed a lot over the course of the day, but was mostly cold and blustery . . . . . . but did cold, blustery weather stop the intrepid runners?!
No way!
Here they are warming up for their 5.75 mile run.Among other things Anthony took his SAT test today - here he is reading for relaxation after the SAT and before taking me on in Magic! And then some reading for school too! (Nice face Anthony!)Caleb and Jacob relaxing in their way.Time for dinner:Anthony preparing, happily, to take his first bite of his Dagwood-sized burger!We ended our day with a game of Life. I don't think I'd played this since I was a kid. What a hoot! All in all a good day - filled with many things!