Showing posts with label Lifelong Learning. Show all posts
Showing posts with label Lifelong Learning. Show all posts

Monday, March 25, 2013

I Dwell in Possibility


In my last post, I described my students as people "on whom nothing is lost," and I thought I'd clarify my terms. 

I've been re-reading Frances' Mayes book, The Discovery of Poetry. It's a really lovely introduction to poetry and has served as the backbone of my poetry unit this year for both the seventh and eighth grades. I have asked my students to create their own poetry glossaries based on our class discussions, and next week, they will have their final exam. I will give them a couple of poems that resemble forms we've encountered and ask them analyze them. Not in the tie-a-poem-to-a-chair-and-get-it-to-confess type of analysis, the sort that asks them to show me what they know. What do they notice about the poem's rhyme, repetition, images, allusions...that sort of thing. The test will be open notebook, and the glossary will count as part of their grade. While Ms. Mayes is best known for her Tuscan juggernaut, this little poetry book is where she really earns acclaim with me.

I was struck by the following passage from Ms. Mayes' book:  "The most important aspect of reading any poem is extensive reading - the more the better - of poems of all kinds, and the best reader is the one most open to the poems on the page. Novelist Henry James said, 'Be one on whom nothing is lost.'"

Be one on whom nothing is lost.

Right there. That's my goal. To help my students become people on whom nothing is lost. 

In the first chapter of the book, where Ms. Mayes writes about how to read poetry, she stresses the importance of reading. In order to understand many of the references in poetry, readers must share a common well of knowledge with the poet, and if the reader's well of knowledge is dry, much of the poem's meaning will be lost. For example, Leda and the Swan, one of my very favorite poems, is rendered almost meaningless without knowledge of the mythology behind it. 

Leda and the Swan

A sudden blow: the great wings beating still    
Above the staggering girl, her thighs caressed    
By the dark webs, her nape caught in his bill,    
He holds her helpless breast upon his breast.   
 
How can those terrified vague fingers push    
The feathered glory from her loosening thighs?    
And how can body, laid in that white rush,    
But feel the strange heart beating where it lies?    

A shudder in the loins engenders there    
The broken wall, the burning roof and tower
And Agamemnon dead.                         

                                              Being so caught up,     

So mastered by the brute blood of the air,    
Did she put on his knowledge with his power    
Before the indifferent beak could let her drop? 


It's still lovely and evocative and violent in its imagery, but if the reader is unaware that Zeus appeared to Leda in the form of a swan and raped her, that she later gave birth to Clytemnestra and Helen and Castor and Pollux, who brought about the Trojan War, the poem is flat and one-dimensional. Wings? Agamemnon? Did she put on his knowledge with his power? These references go nowhere if the reader is ignorant of the allusions under the words. An uninformed reader can only skate across the surface, unaware that the best parts lie beneath their feet.

As I teach at a Core Knowledge School, I am encouraged to teach my students all the cultural literacy I can stuff into their heads. Every day, I teach my English classes one cultural literacy item. Last week, I taught them about films and showed them 2-3 minute key scenes from Roman Holiday, Rear Window, My Fair Lady and Singing in the Rain. This was a little out of the ordinary; most often we focus on biblical or literary references, but I like to spice up the darkest weeks at the end of winter with some really fun stuff. We had discussed Pygmalion last week, so the My Fair Lady seemed an obvious choice.

I pair these cultural literacy items with daily etymology. Yesterday, I taught them that the word "bachelor" comes from the Latin baculum, stick, because a bachelor means young man, as in a young man not old enough to be a knight, so these young men - squires - practiced fighting with sticks rather than swords. Come on...that's just so cool. Here's another one: While reading Catherine Friend's hysterical book, Sheepish, I found out that every family in colonies such as Plymouth were required to produce a couple of pounds of spun fiber a week for the government. When families were too busy to get that work done themselves, they would take in a relative to do the work to meet the quota. An unmarried aunt, for example. A..."spinster." Isn't that just so lovely? I mean, really.

The cultural literacy item of the day and the etymology item of the day take about four minutes, total, and the students record them in a daily log. Those items are then lobbed back at them in the form of extra credit questions on quizzes and tests, but sometimes they come hurtling back at me in the form of connections to the material we discuss. Cultural literacy terms often come back to bite me in the posterior when I least expect them to resurface. Just last week, a student informed me that I was "begging the question" when I flailed about for a way to explain a concept, so I awarded her an extra credit point for being a smart, smart-alec.

I have to admit a selfish impulse here; I love, love researching the cultural literacy and etymology items of the day. It's the first thing I do each week. My grandmother was a hoarder of stuff - magazines, newspaper clippings, things that may come in useful someday - and I guess the trait passed down to me. Luckily, my accumulated stuff takes up space in my head rather than my hallways and basement, and my kids are not going to have to hire dumpsters and an auctioneer in order to deal with my compulsion.

I hope I have taught my students more than literature, Roman society, the Latin language, and composition. I hope I have taught them that learning never ends. That knowledge builds on knowledge, connections beget connections. To read, and then to read some more. 

To become one on whom nothing is lost.

On Monday, we will meet Emily Dickinson. We will dwell in possibility, hear a fly buzz, and envision a bird unrolling the feathers that rowed him softer home. I will do my best to convey that the object of Monday's lesson is not next week's test, but to see these lovely poems as a beginning, a foundation stone for all the cloud-capp'd towers of knowledge they will build for themselves someday.    

Saturday, November 24, 2012

The Beauty of the Youngest

I am reposting this piece in order to honor and mark Kira DelMar's first week teaching a class of her very own. Congratulations, Kira!


What could warm the cockles of a teacher's heart more than the news that a former student has become a teacher herself? I can't think of anything more wonderful, and I am about to bust a gut with pride. Three of my former students have become teachers. One in Japan, one in Switzerland, and one - the subject of this post - in California. 

To celebrate, today's missive comes to you from Kira DelMar, teacher (!), artist, and all-around talented young woman. I hope she does not mind that I lifted my favorite of her paintings (above, "Psyche") from her beautiful website. 
...........................................................................................................
Jess, 

Some thoughts:

I think the thing that I valued most about you as a teacher was exactly what you said in your response to the 'blah blah blah lifelong learners' article; the moments when you would reveal that you weren't in fact omnipotent, and that you, too, were still learning. It blew my mind the first time you answered a question with 'I don't know' - I'm not sure I'd ever heard those words from a teacher before. And then when you came back the next day and told us the answer, and beyond that, told us how you had found out the answer, I think that might have been the moment when I figured out I wanted to be a teacher. (That might also just be a narrative that I'm imposing on my memories in retrospect, but I know that it was a moment that stuck with me, at the least.) 

Being a teacher had always seemed boring before - what's the point of already knowing everything? But if you could be a teacher and still get to learn new things, and figure stuff out, and respond to questions with more questions instead of just pulling the answers right out of your filled-to-the-top brain, well...that job might not be so bad after all.

I do agree with the author of the original article that the main thing getting in the way of all teachers being this way is ego; the need to appear to have mastery of a subject before teaching it. I recently had a great discussion with our science specialist, Cris, about how she teaches computer programming to her middle school tech students. She basically assigns them each to a computer, provides them with an option of a basic curriculum, as well as websites with tutorials about programming in different language. The kids have time to explore and build whatever kind of project they are interested in, and when they say, "I don't know how to..." she replies, "I don't know either, but let's find out." She had never done computer programming herself before teaching the class, and every semester the kids discover new languages that she's not yet imagined. Cris told one of our lead teachers this, and the teacher asked "Aren't you scared that the kids will figure out you don't know what you're doing?" to which Cris responded, "No, because I tell them right up front that I don't know what I'm doing." And every semester, her kids create amazing projects that show their own interests and strengths and mastery of a subject that both surpasses and extends their teacher's knowledge. 

I'm not sure whether I'm effectively modeling this in my own teaching yet, but again, I'm still learning, and luckily, I had excellent examples to learn from. 

Xoxo,
Kira
...........................................................................................................

I don't know about you, but I'd let Kira teach my children, any day of the week. 

Friday, March 9, 2012

Exponent Negativity


An 8th grade student approached me yesterday after third period. I had just taught composition class - the composition class that conflicts with the Algebra I class I have been attending in order to get over my math anxiety.

"Mrs. Lahey, I we did some hard stuff in math today, and we were really worried that you'd get behind, so I agreed to take notes for you and teach you the lesson. I can come by during lunch today and explain what we learned, if you want."

This reversal just slays me. My students are worried for me. Worried about my ability to keep up in math class. How sweet is that? I was really touched. One of the things I love most about my school is the sense of community, but until yesterday, this community had always been a "them" and "us" community. We adore our students, mind you, but as much as we'd like for our community to be one, big, fuzzy "us," it's not. Students are students and teachers are teachers, and never the twain shall meet.

Until yesterday.

Before I start getting attacks from readers who think I am trying to create inappropriate relationships with my students - relationships I am supposed to view as rigidly hierarchical and hopelessly lopsided as a power structure - know that I am not trying to be my students' friend. I just think it's good for them to see adults not know things, and not be afraid to not know, and not run from not knowing.

I talk and talk about the importance of viewing education as a lifelong process rather than a means to some calligraphy-on-parchment end, and my attempt to work through my math anxiety is proof of statement. I really mean it. I love to learn - and not just the stuff that comes more easily. Even the stuff that makes me want to give up and run screaming in the other direction.

Stuff like this:


As I am a newly minted Algebra I student, let me break this explanation down for you.

[Silence, eventually the sound of fingers tapping idly on the keyboard, as I attempt to think of words appropriate to the material contained in the scanned image, above.]

Okay. Here's what I know. I must accept the fact that any number to the power of zero = 1. Ellie, my English-student-cum-Algebra-mentor explains that concept in her red notes above. I don't understand it, but I accept that it's a rule, and follow it.

The other thing I learned is this: if an integer is negative, you can stick it at the bottom of a fraction under a one, and it magically becomes positive. I don't know why, but if I simply accept this and apply it, my homework answers are right. I got through a difficult problem set today through the blind application of these two rules.

I'm not proud of this reality; I'm just owning it. I just don't get it. Alison Gorman, my colleague, friend, and math teacher is patient and kind and generous with her time, and I feel as if I get it for a second or two after she explains it to me, but then, poof, it's gone.

This has always been my problem with math. I try to understand the whys and wherefores of the rules, I really do, but the why just goes over my head. I don't know if it's because I don't care, or because I know that in the end, if I just decide to accept the rule and use it, I can get by through sheer grit and application of the rules I don't really understand. That's how I got through high school math.

Alison is one of the most effective, organized, creative, and dedicated teacher I have ever met, and yet, I think she may have met her match in me. She's extremely patient, and more than a little entertained by my efforts, but I'm afraid she's going to realize that I have severe limitations where numbers are concerned.

I will continue to try to understand, because I hate that I don't. I hate not knowing. I hate butting up against my limitations.

It's time to bust through the negative and transform those integers into their positive form once and for all.


Monday: Powers of 10 and Scientific Notation.

Part V of my math odyssey can be found here.

Wednesday, March 7, 2012

Exponents, Products and [my mathematical] Powers




"Everyone who beats Mrs. Lahey on this problem set will earn extra credit points."

Oh, dear. Extra credit points will be flowing like New Hampshire spring runoff thanks to Mrs. Gorman's misplaced faith in me.

When I decided to return to Algebra I in order to get over my math anxiety, I knew I'd have some catching up to do. I stumbled into class on the last day before a unit test, in the last week of the second trimester. I paid little attention in Algebra I the first time around, and that was 30 years ago.

Helpful hint: If you plan to return to Algebra I in middle age, start on the first day of a unit, not the last.

I did my best to catch up with the kids, and Alison Gorman is the best math teacher I've ever seen, but if you glance back up at the scan of my first practice set, you can see how badly I tanked. The red "C" in the middle of the sheet was the one problem I got right on the first try. I had totally forgotten what to do with exponents, could not remember what the distributive property was let alone how to use it, and my hand cramped up about four pages into my notes.

That one correct problem turned out to be my only correct problem. But it reveals I learned at least one new thing yesterday, and that's good, right?

The students loved it. My students taught me. One taught me about domain and range, another explained why you add exponents when the bases are multiplied, another whispered the number of the problem we were supposed to be working on when I missed Alison's instructions. Hey, come on, I was taking notes. It's hard to listen to write and listen at the same time. I will try to remember that next time I start talking when my students are still writing.

I can't attend Alison's class every day because my teaching schedule overlaps with some of her math classes, so a fair amount of confusion is to be expected. But that first day was just silly.

Today was better, though. The class started a new unit, "Exponents, Products, and Powers," so I stood a fighting chance. We were all on the same starting line, give or take thirty years. As we moved through the exercises, I started to see it. I have my list of properties - power of a product, product of a power with equal bases, power of a power, power of a quotient...and on and on - and I have to refer back to them, but they are slowly sinking in.

I got some insight into my basic issue with math when I proudly told my son Ben about my day. We have a tradition at dinner - "high, low, funny." The best thing in our day, the worst, and the funniest. My best and my funny were both math class, but Ben provided the worst. I recounted the properties I'd learned, and told him how proud I was of myself for remembering that when you multiply variables raised to a power, you simply add the exponents. Ben looked at me like I was an idiot and said,

"Well, that just makes sense. Of course you add the exponents."

And there you have it, ladies and gentlemen, the difference between my brain and the brain of someone who naturally gets math. I can't see it. I can repeat the steps if someone shows them to me, I can replicate the process, but I don't think any of my teachers spent much time explaining the "why" of the process to me.

For example, we did this problem today:


Look at the one without all the scribbles and crosses through it. I have no problem leaving the exponents well enough alone when they are next to an X or a Y, but put them next to a number, and they call out to me. The 12-year-old in me has to DO something with them. Create something. Find an answer, multiply all those threes, no matter what. That's the part under the big cross-out. I made mistakes because I solved for all sorts of unnecessarily large numbers. 

Must. Multiply.

But today, the grown-up, rational teacher in me had a breakthrough. If Alison, teacher extraordinaire, hands her students a problem where the exponent is higher than 3 or 4, and she's not letting them use their calculators, and she's not particularly in the mood to torture them, she probably does not mean for them to do the multiplication. She's probably hinting that there's a simpler method. 

So, two things. I learned two things today. 

But now I have to head out to the dining room table. I have a lot of homework and a teenage son to impress.

Part IV of my math odyssey can be found here.