A Half-Baked (?) Idea

While Avery was pestering me to submit proposals for the CMC’s and NCTM conferences for next year (which I finally did, at the last minute, as one does) I struggled mightily to come up with an idea for a workshop that I actually, y’know, wanted to present. In the end I wound up just resubmitting a proposal for a session I’ve already given. I like it, conferences seem to like it, participants seem to like it.

But it was really strange noodling around about conference session ideas for a few months now and coming up with zilch. I even consulted a list of ideas I’d written up a few years ago. Looking back on that was kind of nice, as most of the ideas I’d written down I’ve since presented on. Go me! A few others that I haven’t (yet) presented struck me a kind of meh on this reading.

All I could really think of as a compelling idea was that I’d like to spend some time talking with people about balancing work/life as a new parent. Now, I didn’t think that this is a topic that would necessarily get chosen and I certainly didn’t think that I would be an expert on this by the time November rolled around, so it was a no-go for a conference proposal. However, it got me to thinking…

I would love to have a mechanism in place to set up informal conversations–maybe lunch groups?–who could come together to talk about a topic that is interesting to a certain segment of the conference-goers. For me, it could be talking to other parents about how to juggle everything. Maybe for someone else it would be about homework policies or how to implement standards based grading. The more I thought about it (and talked it over with Avery) the more it started to sound like setting up a mini-EdCamp in the midst of a “real” conference.

So that’s what I’d *actually* like to do for my workshop. For logistical (and economic) purposes, I went ahead and submitted a “regular” session proposal. But this idea is the one that makes me go “Hmmm…that sounds intriguing.”

I guess I’m putting this idea out here just to see if there is in fact any interest in doing something like this.

Or if I’m totally bonkers.

Though I suppose those things are not mutually exclusive…


The Slides You’ve All Been Waiting For!

Seriously…everyone’s been waiting to see these–including (especially?) the poor participants at my CMC-North presentation this past Saturday who were kind enough to stay through my tech-free talk about “Classroom Routines to Support Mathematical Discourse.” A talk that could have just as easily been titled “A Smorgasbord of #MTBoS Resources for You to Use.” In other words, this was a talk that could have really benefited from having a gosh-darned powerpoint…

But indeed, there is a powerpoint! And here it is, links and videos and everything:

Asilomar Classroom Routines to Support Mathematical Discourse


This Is Not a Post I Want To Write

It is with a heavy heart that I type these words.

One of my students passed away yesterday. She was an amazing young woman with the sweetest smile who wanted nothing more than to have a “normal” high school experience, despite having battled osteosarcoma in her 8th grade year. Becca’s positive energy, enthusiasm and desire to learn brightened our class throughout the time she spent with us in 9th grade.

Bungee Pony

Towards the end of last year, we learned that Becca’s cancer had returned and had spread to her lungs. She entered hospice care early this school year and was unable to attend classes for any of her sophomore year, something which I know she really wanted to do.

I’m feeling a little rough around the edges right now, but I am so glad to have had the chance to get to know Becca and to learn from her. She will be missed greatly around here.

They’re Baaack!

The hexagons, that is.

Though, as it turns out, they didn’t stick around for long..

You see at Morning Meeting today our mindfulness teacher gave an adorable metaphor for bringing your awareness back to the present moment. She explained that our thoughts are like puppies: you take them home and you love them and care for them, but then–when you open the door–they run away and you have to chase after them, hug them and bring them back inside.

I’d already been thinking that I was going to have my students “Adopt A Hexagon” and this allowed me to take that idea to the next level. I told them that, just like the puppies at Morning Meeting, their hexagons had run out the door and they needed to create “Missing Hexagon” posters to put up around the school so their hexagons could get reunited with them.

After they’d gotten just about finished I upped the ante by letting them know that the local news station had decided to give them airtime to make an announcement about their missing hexagon, but due to scheduling requirements they only had 10 seconds to make their plea. Therefore, they needed to condense their description down to the one essential criteria of their hexagon.

It was lovely.

As you can see from their lovely posters.

.Hexagons Benz Hexagons Chrystiee Hexagons Ciri Hexagons Foxxi Hexagons Precious

Being Wrong

I had an interesting experience earlier today* that reminded me of Grace’s recent post about what she calls the “culture of correctness.”

A teacher was giving a demo lesson in a neighboring classroom and I popped in for a few minutes to observe. The tiny slice I saw gave me quite a bit to chew on. A warm-up problem asked students to vote with their feet by moving to one side of the room or another based on whether or not they thought a statement about vertical asymptotes was true or false. I happened to be sitting at the “true” side of the room. A handful of students joined me (though I was not voting); most students, however, moved to the “false” side of the room. The prospective teacher asked students to talk to someone near them about why they were standing on that side of the room. At this point a couple of students decided to switch from false to true. After the students shared with their partner, the teacher asked for a representative from the false side to explain her thinking and then for a representative from the true side to explain his thinking. Again, several students decided to switch their answer from false to true.

In this particular shift several students began “explaining” to those around them (or just talking out loud to the room in general) about why they had made a mistake. There was clearly some embarrassment and chagrin from these students, who seemed to feel compelled to share about their reason for making an error. I was a bit concerned about the activity making it highly public for students who got the question wrong–even though this was well over half the class–and was curious to see how the prospective teacher would deal with this.

From what I saw, this teacher did really well, especially considering that the teacher didn’t know any of these students. The teacher noted that several students had changed their mind–from the tone it was clear there was no judgement about this–and asked a couple of the students to explain what had happened in their thought-process that made them decide to switch places. One of the students who shared why she changed her mind was one of the ones that was most vocal as she walked across the classroom. As she had walked over I heard her downplay her abilities (“it’s because I’m so bad a factoring”). But when she explained to the class that she had neglected to factor the numerator, it seemed that she had come to a more comfortable place in her mistake-making. She no longer sounded like she was beating herself up over it.

After this activity I left to go back to my own class but I am looking forward to talking more about this moment and hearing this teacher’s perspective on it.

*I have delayed publishing this post as it talks about a prospective teacher’s demo lesson

Cryptography, Weeks 2 & 3

These past two weeks of school have been a bit brutal. Partly due to outside of class stress, partly due to said stress leaving me with some sleep-lite nights. This past week I had 4 meetings during my prep periods during the first two days. Like I said, brutal. Luckily I have a bit of a break coming up now. I get to spend a week making and eating cheese. And then I fly off to Maui for a week!

I spent Monday of week 2 working on Polyalphabetic Substitution Ciphers, but not really going into the Vigenère Cipher, which I fleshed out on Tuesday. I had my dentist appointment on Thursday–no cavities, yay!–so I gave students a day to work on their Crypto Contest, an idea a lifted from Avery. Students work with a partner to come up with an encryption/decryption algorithm and encode a message which I then shared with the rest of the class (in week 3). They will spend the next several weeks attempting to crack one another’s codes. Friday had students taking a quiz, which took about as long as I predicted, despite never giving this one out before. I’ve gotten pretty good at this teacher-thing. Maybe. We finished by discussing the first half of Chapter 2 of The Code Book.

Week 3 felt like a bit of a stretch. Like I had about 2 weeks worth of material that I was trying to fit into 3 weeks… We did some somewhat random stuff. Monday I had us turn to the back of The Code Book and we looked at the Playfair Cipher and the ADFGVX Cipher. On Tuesday we had a discussion about the second half of Chapter 2. BTW: In case you haven’t noticed yet, my Cryptography class doesn’t meet on Wednesdays. On Thursday we talked about “book ciphers and ciphers in books” which was kinda cute. I found links to two short stories, mentioned in The Code Book, which featured ciphers–The Adventures of the Dancing Men and The Gold Bug–and had students either read the text and attempt to decrypt the code in the story or to use the story as a cipher text to encrypt a short passage. We didn’t have school on Friday, to give us time to prepare for Intersession.

And now, I shall go make cheese for a week. I canNOT wait!

Cryptography, Week One

I first proposed this course a little over 2 years ago…and now it’s finally made it into reality.

Which–of course–comes with the drawback that now I actually have to *plan* the course each week. Funny how that works, right?

But, I have to say, it went really well the first week. I totally under-planned for the first day, but somehow I managed to swing an off-the-cuff lesson on modular arithmetic that had me looking up at the clock and saying “has it really been an hour already?” and my students saying the same. You know it was a successful day when students are amazed by how fast the class went by.

I know I’m probably not the only one who has a secret yearning to teach Crypto, so I’m going to try to post everything I do in class here. Added bonus: when I teach it again next year, I’ll actually know what the heck to do!

Day One:

Say hello, confirm that everyone knows everyone else (at least enough to say “hello” to), tell students their first assignment is to read the syllabus. Then give students the syllabus–which they quickly note is IN CODE! They are intelligent enough to realize that they are supposed to decrypt the message. This didn’t take very long (good to remember!) as I kept in all sorts of easy hints–it was pretty easy to realize my email address was going to end in @myschool.org for instance.

When they got the code, I passed out the plaintext version of the syllabus and had students read it. While students were decrypting and reading, I put some vocab up on the whiteboard. After asking about questions relating to the course, we went over the definitions. Then, a mini-lecture on inverse functions and how encryption and decryption functions are inverses. Talk about ROT13 (the algorithm I used to encrypt the syllabus) and how it is its own inverse. History of Caesar shift also happens here at some point. Then I connected the Casesar shift to modular arithmetic and we did a few examples. To end the class I had students each encrypt a message using a Caesar shift–I gave them “decoder ring” to help–and exchange with a partner to decrypt.

Homework was to write me a letter.

Day Two:

I use this PowerPoint, which takes up basically the whole class. The lecture is on frequency analysis, the second to last slide is from The Code Book. Students work on decrypting the message–this takes a while and students don’t finish before class is over. We don’t get to the last slide.

Day Three:

We start by having a discussion about the first chapter in The Code Book. I push the tables together so we’re sitting in a circle. They are well-trained from their Humanities class in having a discussion, so I don’t have to work very hard. Then we do slide 9 from the previous day’s PPT. I give each group of students a set of Scrabble tiles and they compute the relative frequencies of each letter. Then they decide whether they agree or disagree with the point distributions for each letter. Their assignment, which they finish for homework, is to write a memo to Hasbro Co. giving their recommendations for changes to the game (or, if they think no changes are necessary, they write explaining what they think is good about the game design).

Day Four:

Warm-up is a few problems on evaluating several numbers in mod 6. I somehow forgot to mention that modulos can be evaluated using division with remainders, so I choose my numbers to (hopefully) lead up to this insight. I make sure we talk about this now. In the previous class someone had mentioned a misconception about anagrams, saying that the reason they did not get used often for encryption was that they were too easy to decrypt. So, we used the Scrabble tiles again to do a lesson on permutations.

And that was it for the week.