Tuesday, July 27, 2010

Transparent Algebra: Writing

It won’t come as a surprise that I value writing. A lot. For me, writing helps me think about whatever I’m thinking about. It makes me clarify what I understand and don’t understand, and what I believe. One of the main reasons I blog is to help me think about stuff.

I also value writing in the classroom, whether that’s a Language Arts classroom, an Art classroom, or, yes, a Math classroom. I want my students to reflect on their own learning process, to think more about whatever they are thinking about, and to be able to communicate that to others both verbally and in writing. My struggle is how to do that well in a Math classroom.

It’s a struggle for me primarily for three reasons. First, the old excuse of time. I’ve complained previously (see my comment here, the one from me that starts “@David Cox - You're going . . .” - I can't link directly to it) about not having as much time as I’d like in my Algebra class, and providing time for writing is one more thing to try to squeeze in.

The second issue is overcoming expectations. Students (and their parents, and my administrators) have an expectation of what a math classroom looks like. I’m pushing the envelope on those expectations in quite a few ways, and writing will be one more way. While I’m willing to have those conversations, there’s also the practical matter of not pushing too far, too fast, or I might lose some folks along the way.

The third, and perhaps most important issue, is that I’m not sure how to do it well. When I’m writing primarily for myself, like on this blog, I know what to do. But when I’m having students write in the service of mathematics learning, then I feel like I need to reach a higher standard of purpose and meaningfulness. I don’t want to have them write just because I find writing valuable, I want them to write because it is valuable for them.

So, given all those caveats (yeah, okay, excuses), here are my fledgling ideas for how I’m going to use writing in my classroom. Please chime in not only with suggestions about my ideas below, but additional suggestions of how I could use writing in my Algebra classroom. This first year back I anticipate not being able to do as much writing as I eventually hope to, but the great thing about this blog is that it will still be here a year from now when I try to improve what I did this year.

  • About Me
    The first writing assignment the students will do is an About Me piece. In fact, I’m actually giving this to the students before the school year even starts. I already called all the parents to make sure they had broadband access at home and I asked for an email address when I talked with them. I then emailed them some preliminary information about the class (more on parent communication in a future post). Next week I’m going to follow-up that email with a second email, that will have a little more information for the parents, but is primarily information that I’m asking them to pass along to their student. (Once the school year starts we’ll have Google Apps for Education, and therefore students will have an email address I’ll use but, for now, I’m going through their parents.) One part of that is giving them the About Me assignment.

    They do not have to work on this before school starts, it will be an assignment the first week, but I highly recommend that they do for two reasons. First, that’s one less piece of homework they’ll have to do that first crazy week back. And second, it will allow me to know a little bit about them before that first week of school. Here’s the prompt as well as my own About Me piece, as I want to – as often as is practical – complete any writing assignments I assign to my students. This will also give them a chance to know a little bit about me before the first week of school.

  • Reflection
    One of my stated goals for this course is for students to be metacognitive, to think about their own learning and use that self-knowledge to become better learners. So a yet-to-be-determined number of times a semester I’m going to ask them to reflect on their learning. I’m not sure of all of those prompts yet, I’d like to strike a balance between giving them something pretty specific to focus on (like Dean’s suggestion in the comments here), and leaving it general so they can write about what they feel is important.

    I’ve tentatively scheduled the first reflective piece to be at the end of the first week of school. I’m going to ask them to reflect back on the first week, to share any questions or concerns they have about the structure and expectations of our class, and to set a couple of goals for the semester (one related to our class, one related to another class, or an activity or sport, or something outside of school). Then periodically throughout the semester/year, I’ll ask them to reflect on their learning, what’s working for them, what’s a challenge, and anything else they’d like to share. I’d love any suggestions for prompts you’d like to share in the comments.

  • Conferring
    I really like the idea of conferring, where teachers meet with students to talk about their writing. I’m going to try something similar about the first of October, when I’ll ask my students to write something. It might be along the lines of the reflection mentioned above, or it might be about a mathematical topic, I’m not sure yet. In either event I’ll ask them to submit it and then schedule a time to come in and meet with me so that we can talk about it. The timing (first of October) is designed so that this happens once we're well into the school year, but before our scheduled Parent/Teacher Conferences.

  • Parent/Teacher Conferences
    We have two nights scheduled for parent/teacher conferences in the middle of October. This is designed as a time for parents to have 5-7 minute conversations with teachers. While I like the spirit of this, I don’t particularly like the format, as I don’t think it’s particularly timely or useful. If a student is struggling in my class, I don’t want to wait until mid-October and conferences to talk about it. I also don’t think 5-7 minutes is necessarily optimal, and I’ve always been a fan of having the student present at any conference that talks about the student. While I can think of a few rare occasions when it would be helpful to meet without the student present, the vast majority of the time I think they should be there.

    I’m going to suggest to the parents in my class that they bring their student with them. I’m also going to ask my students to write something for parent/teacher conferences a few days ahead of time. This will be along the lines of the reflection/conferring ideas, but directed toward this parent/teacher/hopefully-student conversation about how Algebra is going for them. I’ll then ask them to share it not only with me, but also with their parents before conferences. That piece of writing will then provide the focus for our conference, and should provide some student voice even if the parents choose not to bring the student.

  • Writing about Mathematics
    I’ll be asking my students to write about mathematics on a fairly regular basis. They’ll have writing questions occasionally as an opener, sometimes as part of their assessments, and fairly frequently as part of our in-class activities. Again, I would love any suggestions you have in terms of prompts that would help elicit their thinking about mathematical ideas.
There are other things I’ve considered but have decided not to do, at least initially. Most notably are scribe posts, an idea I first learned of from Darren Kuropatwa, and an idea I really like. At the moment, I don’t feel like I have time to do them well, or that they would add enough value for my students. I know I could do them, but I feel like I would be doing them just so that I could say that I’m doing scribe posts. Given all the other new (and perhaps unusual) things I’m asking my student to do, I’ve decided to hold off for now on scribe posts.

That's what I've got so far. I’d love your thoughts on any of the above ideas, including suggestions for prompts, as well as any additional suggestions for me to mull over and perhaps implement sometime this year (or next).

Thinking in Hashtags

We went shopping for clothes today. This is not something we do very often, but my wife had a gift card for Dillards so we went to see if we could find anything. My wife finally found some shirts she wanted to try on, but the store was short-staffed so the first couple of fitting rooms we tried were locked up. Eventually we found an open fitting room and a salesperson, and my wife said the salesperson laid out the clothes she was trying on in the dressing room, ruffled them up, and generally made it look like a display before leaving and letting her try them on.

I'm sure the salesperson was doing her job the way she's supposed to, and many people would consider that customer service, but I was thinking that true customer service would've had all the fitting rooms unlocked instead of treating your customers like potential shoplifters. Actually, what I thought was
#realcustomerservicewouldvebeentohavethefittingroomsunlocked
Seriously, that's the way the thought generated itself in my head.

I'm not saying this is necessarily important, there may be no "there" here, but I find it interesting that apparently my online activities have actually affected the way I think. If I'm actually thinking in hashtags, then it's almost like I've changed the grammar of the way I think. I find that fascinating. Has anyone else found themselves actually thinking differently as a result of how you interact online?

Friday, July 16, 2010

The Myth of the Echo Chamber

This topic deserves more than what I'm going to write today, but I wanted to quickly share this thought. On a regular basis on Twitter and on blogs and in books I read, people warn about not getting stuck in the echo chamber. In fact, I've said it myself more than once. While I value diverse and opposing opinions, and think they are necessary and critical, here's what I think:
There is no "echo chamber." It's a myth.
Do you follow at least one person on Twitter? Then you're not in an echo chamber.

Do you have someone's blog other than your own in your RSS aggregator? Then you're not in an echo chamber.

Do you teach/work in a building with at least one other person that you talk to? Then you're not in an echo chamber.

Do you have a family? Friends? A neighborhood? Then you're not in an echo chamber.

Yes, if you look at the folks I follow on Twitter, or the blogs I read, or the friends I associate with - they probably share some characteristics in their views about education (just to narrow this down a bit). But echo chamber? No way.
  • I learn from people that believe IWB's are a huge waste of time and money. And folks that think they are very useful.

  • I learn from people that think PLN is a term that is essentially meaningless and does more harm than good. And folks that think PLN is a powerful organizing concept for how we can learn in a networked world.

  • I learn from people that think if you can't measure it, it's not important. And from folks that think that if you can measure it, then it's not very important.

  • I learn from people that think standards-based-grading is a powerful way to provide meaningful feedback to students. And from folks that think that "standards" and "grading" are the antithesis of what education should be about.
And, at different times, I find myself agreeing with both "sides" of the above supposedly-there-are-only-two-sides-of-the-argument issues. As I continue to search for the "truth" (lowercase 't', capital 'T', I don't know), I expect that that will continue.

Not only do I think there is no echo chamber, I think there is also tremendous power in having discussions with people who do think in a similar (although not exact) way to you. Communities of similarly-minded people, passionate people, working in concert, can accomplish amazing things. We shouldn't denigrate that, we should celebrate it.

So, by all means continue to bring in diverse and opposing viewpoints into your PLN (or your not-PLN if you don't like the term). And continue to stretch yourself and your thinking by reading and tweeting and talking to new people. But please don't ever apologize for associating with other folks who passionately believe things similar to you, and please don't buy into the myth of the echo chamber. It doesn't exist.

Feel free to disagree in the comments.