Meditations on a Cogen (No. 17) • Thursday, February 17, 2022

During the 2021-22 school year, I’m having weekly co-generative dialogues (or cogens) with my students. In an effort to help me process these talks and document progress, I summarize and write reflections after each cogen. This is the 17th post in the series.

A full house with no reminders
This was the first cogen of the year that wasn’t preceded with an in-person reminder from me. I didn’t pull up to any of my cogen students at any this week before, during, or after class and ask them if they could make it today (also: there were no classes yesterday). The way things have been going these last several weeks, I was confident that they didn’t need me to do that. The one move I did make, however, was to email them yesterday to remind them about bringing in a blueprint for our board game. No one responded, so I couldn’t be sure if they read it or not.

It’s no matter because my students don’t disappoint today: everyone shows up. Even the newest member who couldn’t make it last week because of tutoring surprises me by coming through. One cogen alumnus also comes — he actually reminded the newest member about today. I shout him out both during and after the cogen for his act of community.

As we settle in around the table, my cogen family has me on a high. Though they’re no different than usual, the snacks taste better today. The air is light. I breathe in deeply and smile.

Successors
This week we have a singular focus: planning our board game lesson. It will be the second coteaching experience for the cogen. We left last week with plans to move forward with the idea and have a lot of work to do.

Before we start planning, I remember something a student asked me about this week: cogen replacements. I’ve been so wonderfully engrossed in the cogen’s progress these last few weeks that I didn’t even realize that the current cohort’s six-week tenure is coming to an end. Because of this, a hint of melancholy is present in my voice when I ask the students about their successors today. They have been so productive and willing, it is bittersweet for them to leave. Half of the group has a replacement in mind and drops names. I ask them to reach out to these folks and offer my support in breaking the ice.

Creating a board game
When we left last week, I asked the students to make a prototype of our gameboard. (I took on the responsibility of creating some makeshift problem cards.) This was really interesting because it was the first time all year that the cogen students left our meeting with “homework.” I was unsure of what to expect. But if coteaching is the next phase of the cogen, then it’s natural to presume students will have some work to do outside of the allotted 30 minutes we meet each week. Besides, the buy-in was strong last week from the kids. It felt right.

Did I mention already that the students have me on a high today? Well, they do. They bring three different hand-drawn gameboards! I do my best to contain my excitement in front of them. I’m thrilled. The boards varied in shape and orientation but were similar in that they all had a starting point and ending point. Think Shoots and Ladders. I ask the students to share what went into making their boards. One student shares her vision for using mathematicians during the game. Another has neat ideas for special spaces on the board. Their ideas are clever.


After I share my improvised problem cards, we get into the nitty-gritty of the game. There’s a lot of back-and-forth action for the rest of our time together as we hash out details of the board and gameplay. Here are some highlights and key takeaways of our dialogue:

  • Player movement. We originally decided (last week) that the problem cards would determine how players would move on the board. Each player would get to choose the problem level they wanted (by picking a card) and, if they got the problem on the card correct, they would move that number of spaces. Well, it doesn’t take long for the students to squash this idea. Instead, players will roll a die to move. The problem levels will be scattered randomly all over the board. Whatever level a player/team lands on, they pick up that card and solve the problem. We agree that this is fairer, more equitable, and more balanced.
  • Using points. By changing how how players move (random), we conclude that our game cannot be won by reaching a specific location on the board. There can be no “end” space. Instead, the game should be point-based. When players get problems correct (whose levels are also random), they will earn points based on the difficulty of the problem. Whoever has the most points at the end of the game, wins.
  • Infinity-shaped gameboard. Because the game is no longer based on a players’ positions, a student quickly suggests the board be made into the shape of an infinity symbol (∞). Everyone loves it.
an infinity-shaped game we sketch out during the cogen
  • Group gameplay. Throughout our talk, we flip-flop on whether to play the game synchronously (whole class) or asynchonrounsly (small groups). There are pros and cons to each, both for gameplay dynamics and logistics, but in the end agree to play the game in small groups. This means that each group plays its own game I have 4 groups in my classroom with 5-8 students each, so each player in the game will consist of 2-3 students.
  • Table vs. Table. In addtion to having individual winners from each group, we also want to have a winning group. To do this, at the end of gameplay we can have all players in each group sum their points. Whichever group has the largest sum wins that award. This way, players have an incentive to support other players in their group.
  • Coteachers checking answers. As players move around the gameboard solving problems, the cogen students (and myself) will float around the room with an answer key. After a player solves a problem, they will signal one of us by raising their hand. A coteacher will come over and check their work and final answer (all problems will be numbered for quick reference). This provides immediate feedback to the players. If the player gets it correct, they will earn the points for that problem. Incorrect solutions do not result in a penalty. (When I proposed that a key be left in each group so players/tables can self-check, the cogen said outright: “Mister, we’re going to cheat if you do that.” This was surprising and hilarious.)
  • Lockers. I have lots of empty lockers in my classroom (we used to be an elemenatry school). While we ultimately didn’t adopt it, there was a fascinating suggestion to use the lockers during our game. This spoke to me because it uses the physical environment to enhance the game. The idea to use them proved unwieldy for our game, but I pocket it for future use.
  • Point stealing. When a player lands on a “Level 2” space and begins working on the problem, all other players will work on the same problem. If the player who chose the card gets the problem wrong, another player will have a chance to steal the points for that problem. We didn’t determine yet who gets to steal.
  • Special Spaces. The majority of spaces on the board will have a problem level (1-3) on them. To add to the fun, we also want to have “special” spaces. These will be different and add some spice to gameplay. Some possibilities include: (a) challenge space (hard problem worth more points), (b) nothing space (no problem, no points), (c) steal points from other players (all players give another player 1 or 2 points), (d) donate points to others (player “gives” all other players 1 or 2 points), (e) earn a second chance card (if a player gets a problem wrong, they can exchange this card for a second chance at getting it correct before another player can steal)
  • Homework. At the end of our discussion, I ask if someone can make a sketch of the board that includes what we talked about today. Next week (or the week after, if we need more time to finialize), we will use our cogen to redraw the boards on large chart paper for each group. The chart papers will be placed at the center of each group for gameplay. The quietest student of the cogen agrees to take on this task. I promise to email her — and the rest of the team — our notes.
  • Game name. After we leave, it hits me that we don’t have a name for the game. We have to think of somethign catchy.

Excitement all around
A lot happened today. The energy was high, ideas were flowing, and everyone was present in body and mind. There was plenty of debate about our game/lesson. It’s really taking shape. Everyone contributed and is feeling good about it. I even overheard a student say at the end, “Today was really productive.” I couldn’t agree more.

bp

Students as Coteachers

In For White Folks Who Teach in the Hood…, my man Chris Emdin writes:

Coteaching is a natural outgrowth of the educational cypher. Ideally, coteaching is implemented in the classroom after a cycle of cogen sessions has taken place with a group of students….Cogen participants are more amenable to putting themselves out on a limb fot the sake of further improving classroom instruction. (p. 93)

I have more or less adopted Emdin’s model for cogenerative dialogues these last two years. In doing so, coteaching with students has always been on my mind. It’s a natural progression for students to go from discussing and critiquing the class to taking the helm and being the change they wish to see. Positioning myself as a coteacher alongside my students has been a primary goal for my cogens since I started them. I achieved that goal for the first time this week.

I played around with the idea last year during remote learning, but I think I planted the seed a couple of months ago with this year’s first cohort of cogen students. I was preparing one of my hallmark assignments and they helped me revise it. It was an interesting and worthwhile venture, but I noticed afterward that the students had merely helped me plan the assignment — I didn’t get out of the way and let them enact it. Don’t get me wrong, their planning was new and critical in the development of the cogen’s work. But it would have been better if, instead of me, the students rolled out the assignment to the class. They knew the assignment well and could speak to it, but I gave them no airtime to present it to the class. Noticing this, I was encouraged to go a step further with the next cohort of students: design a lesson with them and coteach it.

When I approached the students about the idea of coteaching, they were on board. As Emdin suggests, I think their willingness to boldly engage in coteaching was a direct consequence of their involvement in the cogen and how it has positioned them as change agents. Having never cotaught with students before and wanting to privilege their ideas, I encouraged them to decide the topic and format of the lesson.

What did they choose? Math Bingo.

A game! I was excited. So were they. We spent the next few cogen sessions planning it out. I showed them a Bingo template and sample problems. We discussed flow and logistics and consulted on timing. I was nervous, but we were ready.

The game was originally planned for one day, but ended up needing two. We finished it this week. Five cogen students cotaught my three Regents classes. Overall, it went smoothly. My coteachers led the class through the game — they floated to assist students, called on students to respond, and kept everything organized. I stayed mostly in the background, anchoring myself to some of my most struggling students. I would occasionally nod to my coteachers indicating that I thought it was time to move on to the next problem. Without even knowing it, I guess you can say we adopted the “One teach, one assist” coteaching model. We played off each other well.

Two cogens (standing near Smartboard) students coteaching in period 3.

On the exit ticket, there was plenty of positive feedback. When asked about one aspect of the activity they liked, students wrote things such as, “It was something to have fun with and learn at the same time,” “We worked together,” and “It was fun competing with one another.” The constructive feedback came in the form of things like, “Maybe try and fit more problems,” “It felt kind of slow,” and “Give us more time for the problems.”

My cogen met two days after the lesson and we spent the majority of our time reflecting on how the lesson went. I asked my coteachers to attend, if they were able (they had already selected their replacements for the cogen). Three of my five coteachers joined us.

We agreed that Bingo was a nice escape from what we usually do — the break from the norm was appreciated by all. The students liked the diversity of the problems too; they got to review many key ideas from the current unit in a game format. I heralded the time I spent helping weaker students as a major achievement of the lesson; having coteachers freed me up to work closely with those who needed me most.

While there was copious amounts of positive energy about the lesson, we knew it could be improved. To help with timing, which was highlighted on the exit tickets, the cogen agreed that we should have paid more attention to the details of the game (some problems needed less time than others, for example, and we didn’t have rewards for winners). We also admitted that I should have helped my coteachers gain a deeper understanding of the problems before we played. This would have equipped the coteachers to better help their peers during the game. It would have also helped with pacing. In the end, when I asked if they would want to play again, the cogen’s answer was unanimous and enthusiastic: YES!

In the days leading up to the lesson, I went back and reread the “Coteaching” chapter in White Folks, from which the above quote was taken. Despite a year and a half of cogening, relinquishing my status and upending my classroom’s power dynamic would be hard. I needed to steal some of Emdin’s confidence. Interestingly, when I first read the chapter many years ago, it felt unnatural and impractical. The idea of coteaching with students was ambitious, but too much so. Looking back now, I simply wasn’t ready. This week, I found myself reading it with a fine-tooth comb. I pocketed advice and identified personal weaknesses that might prevent me from embodying my new role as coteacher. It couldn’t have been more useful.

All my previous cogens and my rereading must have worked because during the lesson I felt something shift and click into place. It was magical. Coteaching with my students felt organic and necessary. It felt like a practice that should have been happening all along.



bp

Students as coteachers

In For White Folks Who Teach in the Hood…, my man Chris Emdin writes:

Coteaching is a natural outgrowth of the educational cypher. Ideally, coteaching is implemented in the classroom after a cycle of cogen sessions has taken place with a group of students….Cogen participants are more amenable to putting themselves out on a limb fot the sake of further improving classroom instruction. (p. 93)

I have more or less adopted Emdin’s model for cogenerative dialogues these last two years. In doing so, coteaching with students has always been on my mind. It’s a natural progression for students to go from discussing and critiquing the class to taking the helm and being the change they wish to see. Positioning myself as a coteacher alongside my students has been a primary goal for my cogens since I started them. I achieved that goal for the first time this week.

I played around with the idea last year during remote learning, but I think I planted the seed a couple of months ago with this year’s first cohort of cogen students. I was preparing one of my hallmark assignments and they helped me revise it. It was an interesting and worthwhile venture, but I noticed afterward that the students had merely helped me plan the assignment — I didn’t get out of the way and let them enact it. Don’t get me wrong, their planning was new and critical in the development of the cogen’s work. But it would have been better if, instead of me, the students rolled out the assignment to the class. They knew the assignment well and could speak to it, but I gave them no airtime to present it to the class. Noticing this, I was encouraged to go a step further with the next cohort of students: design a lesson with them and coteach it.

When I approached the students about the idea of coteaching, they were on board. As Emdin suggests, I think their willingness to boldly engage in coteaching was a direct consequence of their involvement in the cogen and how it has positioned them as change agents. Having never cotaught with students before and wanting to privilege their ideas, I encouraged them to decide the topic and format of the lesson.

What did they choose? Math Bingo.

A game! I was excited. So were they. We spent the next few cogen sessions planning it out. I showed them a Bingo template and sample problems. We discussed flow and logistics and consulted on timing. I was nervous, but we were ready.

The game was originally planned for one day, but ended up needing two. We finished it this week. Five cogen students cotaught my three Regents classes. Overall, it went smoothly. My coteachers led the class through the game — they floated to assist students, called on students to respond, and kept everything organized. I stayed mostly in the background, anchoring myself to some of my most struggling students. I would occasionally nod to my coteachers indicating that I thought it was time to move on to the next problem. Without even knowing it, I guess you can say we adopted the “One teach, one assist” coteaching model. We played off each other well.

Two cogens (standing near Smartboard) students coteaching in period 3.

On the exit ticket, there was plenty of positive feedback. When asked about one aspect of the activity they liked, students wrote things such as, “It was something to have fun with and learn at the same time,” “We worked together,” and “It was fun competing with one another.” The constructive feedback came in the form of things like, “Maybe try and fit more problems,” “It felt kind of slow,” and “Give us more time for the problems.”

My cogen met two days after the lesson and we spent the majority of our time reflecting on how the lesson went. I asked my coteachers to attend, if they were able (they had already selected their replacements for the cogen). Three of my five coteachers joined us.

We agreed that Bingo was a nice escape from what we usually do — the break from the norm was appreciated by all. The students liked the diversity of the problems too; they got to review many key ideas from the current unit in a game format. I heralded the time I spent helping weaker students as a major achievement of the lesson; having coteachers freed me up to work closely with those who needed me most.

While there was copious amounts of positive energy about the lesson, we knew it could be improved. To help with timing, which was highlighted on the exit tickets, the cogen agreed that we should have paid more attention to the details of the game (some problems needed less time than others, for example, and we didn’t have rewards for winners). We also admitted that I should have helped my coteachers gain a deeper understanding of the problems before we played. This would have equipped the coteachers to better help their peers during the game. It would have also helped with pacing. In the end, when I asked if they would want to play again, the cogen’s answer was unanimous and enthusiastic: YES!

In the days leading up to the lesson, I went back and reread the “Coteaching” chapter in White Folks, from which the above quote was taken. Despite a year and a half of cogening, relinquishing my status and upending my classroom’s power dynamic would be hard. I needed to steal some of Emdin’s confidence. Interestingly, when I first read the chapter many years ago, it felt unnatural and impractical. The idea of coteaching with students was ambitious, but too much so. Looking back now, I simply wasn’t ready. This week, I found myself reading it with a fine-tooth comb. I pocketed advice and identified personal weaknesses that might prevent me from embodying my new role as coteacher. It couldn’t have been more useful.

All my previous cogens and my rereading must have worked because during the lesson I felt something shift and click into place. It was magical. Coteaching with my students felt organic and necessary. It felt like a practice that should have been happening all along.



bp

Music in the Classroom

In returning to the classroom this year, there is a lot that I’m joyfully rediscovering. I recently wrote about teacher aesthetic and building community and how those parts of my teaching have reemerged after so much time teaching online. Recently, another dimension of in-person teaching has grabbed my attention: music.

When I think about music in the classroom, I think about the five senses. Upon entering the room, for example, students can see the furniture and feel the temperature. If the chairs are set up in one large oval instead of groups, students’ interests will pique and they will probably wonder why (at least in my room). This seating arrangement is used to increase the awareness of others and induce different ways of thinking. If the windows are open and it’s chilly when they walk in, students will place their arms across their chest and desire a sweater. Without one, they’ll probably have a hard time focusing that day. These simple scenarios reveal how the classroom environment affects the body — and student behaviors and mindsets as a result.

I think this is also true when it comes to music. If I’m playing a catchy song when my students walk in — something brimming with melody — I believe it lights up my classroom and sets a positive, uplifting tone. The song can stir emotion, breed confidence, and establish a collective rhythm that lives in the background of our classroom. If the song is pouring out a set of quality speakers, all the better! (SmartBoard speakers are trash.) The music may not explicitly help students to calculate average rate of change or prove two triangles are congruent, but it can help manufacture the conditions under which they can do these things.

That said, it’s probably not surprising that I play music at the start of class and while my students work. I did this before and during remote learning, but it feels different since we’ve been back. The experience is livelier, more vivacious; the songs are hitting harder and the head nods, finger snaps, and body sways add warmth to the classroom climate. The tunes I play is a curated playlist of mostly R&B, hip-hop, and pop — both modern stuff and throwbacks — that I bump from a set of Bose speakers. The songs you’ll hear inside my room are no doubt a reflection of me (I need to vibe too), but I do my best to ensure my students’ joints are there, too. I ask them for music recs all the time. They keep me and my playlist current.

When I walk through the hallways of my school and listen, practically every classroom is absent of music. This reminds me that harnessing the power of music in the classroom pushes back against the norm that academic spaces need to be quiet and orderly spaces. This perspective dismisses the role of the body in teaching and learning. It guarantees that classrooms are purely intellectual and void of emotion (especially those in math and science disciplines). It means that hearing Jay-Z fortify us with his swag or Alicia Keys buoy us with her smooth vocals is unnecessary and even nonsensical.

I can’t disagree more with this belief. Being back in the classroom has helped me remember why.

bp