We all feel this at times, right?

Today sucked. I wrote that (but with more verbosity) on facebook. One colleague/friend said that she heard I was a great teacher. In response, I wrote:

my weltschmerz is not due to me questioning my teaching abilities, actually. i’ve grown out of that first year trap. right now it’s all about the school bureaucracy, the time sinks we’re asked to sit through, the faux reflectiveness which never is seriously intellectual nor tangible. what i want is for the powers that be to say you’re more than competent, you have taken a role in the larger school community, so we will leave you and your time alone so you can do what you do best. we’ll lay off and give you support when you need it, because you’re a team player and you support us and the larger community.” 

I got home, feeling like (a) I’ve had this feeling for a long time, (b) that I didn’t have it last year, and (c) that I hope it isn’t that dreaded second-year burnout. I hope it’s just one long-day burnout. I LOVE TEACHING. But at this particular moment in time, I feel like I’m treading water and that I’m being foiled from all sides by nonsense, keeping me from doing what I know I could do so much better if just left alone.

I need to be let free, given my independence, so that I can fly.

So my question for you is:

I bet that I need to sleep this off. I’ll probably wake up with perfectly coifed hair; I’ll bound out of bed, and two little cartoon birdies will fly around my apartment, picking my clothes and making me breakfast. 

UPDATE: Slept it off; feeling much better.

Sickeningly inspiring videos make me go bleech…

… for example, I hated the young kid talking to a convention of teachers that was making the rounds (here). It’s supposed to be elevating, motivating, sweet. Instead, I just got supremely annoyed.

But… I saw an inspirational video that actually… well, inspired.

There’s something captivating about the metaphor. I liked it because it got me thinking about teaching.

  • Students — when they are pushed just beyond what they think is capable — can surprise themselves and others.
  • Teachers — when they trust students enough to push them beyond what they think is capable — can bring out some really amazing results.
  • Teachers need to remember that each kid is different, and you can’t expect every student to do the same level work. But you can and must expect them to work up to their potential. (“Do your best.”)
  • Students can’t succeed if they have a defeatist attitude.
  • Teachers can’t succeed if they have a defeatist attitude.
  • Positive encouragement goes a long, long way.
  • Students can inspire other students.
  • Students can inspire teachers.
  • Teachers can inspire students.

I’ve mentioned to parents that my teaching philosophy is to try to teach students just beyond the level they think they’re capable of. (I don’t always succeed.) But I’m thinking that after a particular difficult assessment, when I’m really blown away at how my students did, I might share this philosophy with them. And show them this video. And tell them that I’m really proud of them.

Hopefully I’ll be lucky enough to have that moment sometime this quarter with each of my classes. I don’t know if each one of my classes will pull it out, but I really am pulling for all of them all the time. Some students might not always see it, but I’m always on their side.

PS. I know this is from a “Christian movie.” No, I haven’t seen it. No, I don’t intend to.

Michelle Rhee

I’ve been hearing a lot about Michelle Rhee, Chancellor of Education of the DC school system. I haven’t read anything about her, though, but after reading this Time article, I want to read more. Something to whet your post-Thanksgiving appetite:

She says things most superintendents would not. “The thing that kills me about education is that it’s so touchy-feely,” she tells me one afternoon in her office. Then she raises her chin and does what I come to recognize as her standard imitation of people she doesn’t respect. Sometimes she uses this voice to imitate teachers; other times, politicians or parents. Never students. “People say, ‘Well, you know, test scores don’t take into account creativity and the love of learning,'” she says with a drippy, grating voice, lowering her eyelids halfway. Then she snaps back to herself. “I’m like, ‘You know what? I don’t give a crap.’ Don’t get me wrong. Creativity is good and whatever. But if the children don’t know how to read, I don’t care how creative you are. You’re not doing your job.”

Linear Regressions

In Algebra II tomorrow, I’m going to finish up talking about linear regressions. And in honor of that, I’ve created their Thanksgiving homework: a worksheet.

I’m having students

1. pick 10 words
2. check to see how many wikipedia hits these words got in October 2008
3. check to see how many google hits there are for those words

(Example: “monkey” was looked up 122,694 in October 2008 and has about 140,000,000 google hits.)

Then they’re going to see if the data looks linear, and calculate a line of best fit, and use it to predict.

Even though the worksheet needs a lot of work in terms of the questioning and phrasing (I am so tired that I couldn’t think of great questions… I just felt the need to pound this out), I still think this is one of my better activities.

If you want: 2008-11-25-worksheet-on-linear-regressions

Perhaps I’ll compile all the data from all the students and we’ll have a larger data set. We’ll get to talk about outliers (e.g. if you look the word “water” up, things are crazy). I personally am curious what will happen.

(FYI, for the 10 words I chose, I got an r value of about 0.7.)

Taking the Twitter Plunge

So I’ve decided there is possibly a vibrant teaching community that I’m not familiar with, because I had decided to ignore Twitter while getting the year in order. So here I am, going to take the plunge.

My twitter page is: http://twitter.com/samjshah

I want to join a group of high school math teachers. I found a whole bunch of blogs by math teachers that I follow regularly. Let’s see if I can find the same on Twitter.

And if you have a Twitter account and want to say hi, feel free! Right now I’m twitter-lonely.

Kepler’s Laws

In my multivariable calculus class, we spent last Friday reading the textbook as a group, trying to understand the section on Kepler’s Laws. We got done showing that if there is a sun-like object and another object with a particular initial position and velocity, it will either fall into the sun, be an circle, be an ellipse, be a parabola, or be a hyperbola.

Today we were going to move onto using this result to derive the three Keplerian laws of planetary motion.

But then I decided to scrap that. Because even though we read the book and followed the text, line by line and equation by equation, we lost sense of what we were doing. We lost sense of the conceptual underpinnings for each equation. We didn’t know what motivated the book to make the moves it made. It’s largely the book’s fault, which is really unclear — if you’re a high school student and not used to having your book say “we leave this as an exercise to the reader.” (Seriously, it did that.)

One of the things you’ve heard me say is that I want to foster the skill of students learning to communicate math well.

So, I decided to scrap the plan of moving forward, and we’re devoting two or three days to

WRITING OUR OWN TEXT EXPLAINING THE DERIVATION OF KEPLER’S LAWS.

We started out the class outlining a basic structure to it (Part I: What we want to show; Part II: Initial Conditions; Part III: Gravitational Pull; etc.). Then the four students started talking about what they wanted to say. (One agreed to draw the diagrams we’re going to include in our text.) I just sat up front, and when they decided, I typed it up in my LaTeX editor — projected so that students could tell me to fix or reorder something. Sometimes I prompted them (“you told me to write \vec{v} but you never told the reader what that is” or “does it matter if the initial velocity weren’t orthogonal to the position vector?”). And it took us 50 minutes to get about a third of the way done.

But you know what? It is working. They’re talking, they’re thinking, they’re arguing with each other, they’re asking questions. And they’re learning to work through things, and explain them to someone else.

I was so pleased. Hopefully the next few days go as well.