Carl's Teaching Blog

A place to talk about teaching and learning

Category: Uncategorized (Page 2 of 13)

Talking Math, College, and the Hard Work of Preparation with a ‘white buffalo’

Our amazing and wonderful College and Career Office took over our Friday PD to in the name of the City’s ‘College Access for All’ Initiative. Along side the powerpoint slides, and the brainstorming was a really powerful group of guest speakers…our former students! They arranged a panel of 6 recent graduates and asked them about their successes and failures in the post-secondary world, how we helped, and also what we could have done better. 2 students were doing well in college, 2 others were hitting bumps in their path through college, while 2 others weren’t in college at all. We were all understandably proud of each of the students as they described how we helped them with their current life. The students who were not in college pointed to the way that the school prepared them for adult responsibility through our internship program. Those in college were grateful for their experiences as well.

As the third student begins to give his remarks the art teacher leans over to me with pride and says “A black male in college!” “I know,” I replied, “it’s like seeing a white buffalo!” There are many more black males in college than there are white buffalo, but they are few enough that each one is sacred. The persistence rates at Michigan State when I attended were shockingly low, when something like 1 in 5 black male students, or less were actually making their way to senior year. It was a great source of personal pride for me to persist and finish in 4 years and I was quite proud to see Roger persisting as well.

Everyone was filled with pride as all of our students talked about the positives of their experiences. The mood changed when the graduates told us about their struggles. When it came time for students to talk about how unprepared they were in college this student’s comments sucked all the air out of the room. “I was very unprepared as a math student. You guys really need to make students aware that math in college is no joke. I got past the placement exam, but I failed calculus twice.” Roger spoke with the intensity of someone who was fighting for his life. “You guys really need to not be so nice to kids and hold them accountable when the aren’t doing what they are supposed to be doing. Once they get in to college they are going to be unprepared, and those professors won’t give them any breaks.” As I write this I know that I’m not capturing how deep his words were. All the staff erupted in applause afterwards. The applause served as a commitment for us as a school to continue to hold students more accountable in order to make them better prepared for post-secondary success.

The struggles of college readiness

It is difficult to prepare students for challenging college math in a transfer school where students are struggling to just finish their high school requirements. Typically students arrive having finished over 2 years of high school, typically needing between only 2 to 3 semesters of math. That isn’t enough time to teach much math. This student only needed 1 semester of math credit when he arrived. While students only take a handful of math classes with us, we have to try and provide nearly all of the math classes that students could possible take in order to plug the holes in their transcript. This means we need to provide algebra, geometry, trigonometry, statistics, and math electives. This student took geometry and an algebra class designed to help students place out of remedial math. So we have a small window to meet students math needs, and our course offerings are thinly dispersed along the spectrum. We struggle to offer more challenging courses that go beyond the typical high school requirements.

How are we going to prepare students to pass calculus in college?

If students are going to be more prepared in college, we need to convince them to take more math, above and beyond what they need, because we know they are not prepared without it. Telling kids who are already over age that they need to take more math classesSounds as fun as feeding my daughter vegetables.

So how do we go about meeting this student’s call to action? After the talk I pulled Roger aside and asked “If you rewind the clock back to you when you were in high school, would you have taken an extra math class that would have been more rigorous in order to prepare you for college?” He was honest and said no. He would have been too busy socializing across the street in the park to want to do that. Back at school two years later, his current self desperately wished his younger self had that additional class as an option. Instead Roger’s past self took the bare minimum needed to graduate. While it is important that we give students what they need to graduate high school, it is important that we also get them prepared for life after college. That would mean we would have to get students who don’t want to do challenging math, like Roger, to do challenging math. That was the charge he left me with he left to talk with other staff. “You have to figure out how to get kids like me to take that class.”

#1TMCThing Coming up with a math department vision

School returns next week, and that means I should start piecing together some of the things I’ve learned from through out the summer. I’ve had a pretty epic summer, and was able to participate in a number of really cool things all of which would be good to discuss with the math department when we get back. There’s also the thinking about the thing I want to personally commit myself to for this school year, my #1TMCthing.

The ideas from Chris Shore’s morning session have come first in my head. One of the things he talked about the two-way communicator role played by those who support teachers. The top-down way of communicating to them the school administrations directives, and figuring out what that means for their classes. Just as important is the bottom-up responsibility of communicating the math department’s goals and needs to the administration, and the district. In two years of being the department head and the AP, I’ve managed to avoid both of these roles. Instead I focused on shielding the department from contentious parts of the admin plan, while also not really portraying a full picture of the concerns of the department to the administration and choosing instead to only talk about the rosy positive items. The math department doesn’t to be shielded. Challenged, as well as championed but not shielded. So how do I challenge the team to live up to the highest of expectations, while also championing their good work and looking out for their concerns?

Coming up with that question was a huge lightbulb moment in the conference and made me excited to come back to school. I want to change my role with the department, and perhaps change the department after that. The first step is to make sure that we are all clear on what the work of the department is. To clarify what that work is, my initial goal is to come up with a vision for the department. The vision can incorporate the needs of the school and the district, and also the realities that the teachers face. It can be a way to look forward at what we want math to be, and also help us create realistic checkpoints that illustrate what we should focus on right now. It should be cool. I just have to figure out how we go about our ‘vision crafting’. Here’s what I got so far:

  1. Figure out the administrative ‘asks’s for our math department. The exact nature of the demands will be hard to nail down, and I say that knowing that I am a member of the administration. In the past few years we have had some conversations about what the math department might want to do, but we haven’t come up with clear items that we want to ask that they look at. Looking at these will be constraining, but constraints lead to creativity.
  2. The next step is to come up with a process that genuinely surfaces the needs of the teachers. An honest process that brings up the genuine needs is preferred over the approach of my using my position as an administrator to push a prepackaged vision. If step one goes well, it should be clear what room things are required, and hopefully we can be genuinely honest about the rest of what we do.
  3. Next is tying our math work to the areas of focus for the school as a whole. Transfer schools always mean a widely varying student population, how do we deal with that as a math department. Add on to that, our external learning focus, our project based learning focus, and our Restorative Justice focus, and you have a lot of things that teachers have to consider. For the vision to be enduring, I need to be really sure that the vision is connected to what the school values.

That’s what I got so far do you have any idea about how I can do this? Please let me know in the comments.

Additional thoughts from the #TMCequity conversation #TMC17

During last week’s TMC conference a lunchtime conversation was held on the second day that gave people a place to air the thoughts that followed from Grace Chen’s keynote. During this conversation notes were taken, a hashtag was spawned, and a number of avenues for further conversations were discussed. The entirety of the conversation was captured in the notes from Norma Gordon. This post contains some additional notes and threads from the conversation that may be valuable to some people. If it’s valuable to you, please leave a note in the comments.

  • Tracking was a considerable problem in a number of schools. Black and Hispanic students make a disproportionate number of students in certain classes lower level. Many people present also spoke about the lack of Black and Hispanic in Physics and other advanced classes, in ways that were very disproportionate to the actually student populations.
  • Bringing up the issues among adults at their schools sounded difficult for many. Having a real conversation about the issue in play in all of people’s schools is uncomfortable. However, sitting there and letting it happen is also uncomfortable. How do you help your staff step up to the challenge?
  • “Pushing” and “Pulling” were terms used by a group of people. This was brought up by a teacher who worked at a school with primarily children of color before switching to primarily white students described. When he was working with Children of color, the pushing was advocacy for them. He was using his position of privilege to push their voices forward and up. Now that he is teaching primarily white kids, his advocacy work is one of using his position of privilege to pull in influences that they might not otherwise have seen or heard. Many other teachers referred to having to push or pull in their contexts.
  • Another teacher who works with primarily white students said began to challenge some systems that many students are taking for granted. When students bring up news events, teachers could use this as an opportunity to help students understand the unacknowledged privileges they benefit from.
  • Some teachers wondered what kind of things are microaggressions? On one hand,  what are the thing we may be doing that we can change. On the other hand, what are things that students may face outside of school and how can we help them respond to those things.
  • When and where can I use white privilege? When do I use it, when do I stand back, and how do I balance? When do I know how to validate or amplify or sit back and let others talk? Asking is the only sure way to know, so how do people know that asking is ok?
  • Someone pointed out that rape is a problem that needs be talked about among men in order to be fully addressed. Similarly issues of race needs to be talked about and unpacked among groups of white people to ensure that they won’t continue to affect our communities.
  • One teacher worked with her students on unpacking the stereotypes that students may have adopted around certain people or neighborhoods with students. Unpacking where these beliefs come form and how little is based in reality was valuable and sounded like an easier conversation to have with students.

Possible next steps

  • A number of books were listed in the google doc. Teachers having a book talk on twitter was suggested.
  • It might be good for us to also study stereotypes, and mabe use voxer to have a conversation, as spoken word may avoid the misunderstanding that can happen when only text is used.

Clog: The circles keep going

We did our fourth circle in the cycle, and things are now rolling right along. These circles, which are covered in an earlier post, involve me and the kids sitting around in the circle talking to each other. The kids are all pretty used to the routine, and I keep coming up with ways to relate it to what we are learning. It isn’t going to stop any time soon, so what better time for a little update!

Structure

Each circle begins with a chairs in a circle, a talking piece (a ball or something), and each kid has a white board, a marker, and recently erasers. I sit near a piece of chart paper for to writing down the results of each students question to the group.

My prompts have involved kids asking questions of each other. So far I have done:

  • Week 1: What is a yes or no question you want to ask everyone, and predict whether 5%, 15%, 50%, 85% or 95% of the people will say yes.
  • Week 2-3: What is a question on a scale of 1 -10 you want to ask everyone, and predict what number people will say the most.
  • Week 4: What is a question on a scale of 1 -10 you want to ask everyone, and predict the distribution: skewed left, symmetric, skewed right.

These simple prompts lead to authentic responses. The questions asked are genuine in that they are from the people in the room, and the answers are genuine because they are from the people in the room. When it is time to work with other data, it helps to be able to pull examples from the chart paper that we all had a part in creating. Today for example, when I talked about the z-score, it was nice to use a question from the circle as an example instead of ‘dinosaur femurs’ or whatever.

Strategies

I have done this enough now that I am starting to get some strategies that help. One thing is that I want to control who all is talking a lot. Having the talking piece let’s kids know who is supposed to be talking. After everyone shows the results, and as I am writing on the chart paper, I’ll pick someone who had the highest or the lowest number and ask them why they said what they said. I can also use this as a way to have some kind of equity in who controls the airspace. I’ve also had a bunch of sample questions on the wall so that when kids inevitably say they don’t have a question, they can just pick one of the other ones. The question I was using were from the Census At School, since we are going to eventually use that data.

Next steps

So the thing that I want to work on is how to keep expanding so that at the end the circle will be a way for people to share their final projects and get feedback from their peers. For that I need to figure out a number of things like making sure the kids are comfortable listening to each other, and responding respectfully. I’ll also need to finish making my project. 

The other big thing is how much class time this takes. Seeing up the room so that we can get right into the circle is important. When we’re finished kids should quickly transition out of the circle and back to their tables. To make transitions quicker I have students pick up their folder or laptop or the next activity as they leave the circle. Another struggle is also writing the data and also facilitating the group. Maybe a student could keep track of writing the numbers that are produced after each question, but without making that kid feel left out. The white boards also seem like a ripe opportunity for student creativity, and currently all students do is write one number, and then erase it.

All in all, it’s going pretty well. I look forward to writing another follow up at the end of the cycle. If you have any ideas or thoughts, please let me know in the comments!

Clog: Suddenly a math argument breaks out

So I always want to try to get kids to have big mathematical discussions in class, but it doesn’t always happen. Today a VERY lively mathematical discussion broke out in class. There was a point where like 3 kids were up at the board, vigorously gesturing at the models that were written at the board, while the rest of the class waited breathlessly for one of them to be conferred as “the answer”. It was out of hand.

Now this didn’t exactly go well. I’m not saying a bunch of kids screaming at each other is ‘productive discourse’, but that’s to be understood. The class was actually a class I was subbing and it was the second day the class had ever met, and a huge chunk of kids missed class on the first day. Class started very quiet as to be expected from a new group with a sub teacher, so I wasn’t really emphasizing turn-taking and sharing, which I would later regret.

Here’s the problem that the class was working on:

Draw a diagram 1:

There’s a softball league with three teams, The Alligators, The Bears, The Crocodiles, The Dolphins, The Eagles, The Foxes, The Grizzlies. Each team plays each of the others 3 times. How many games are played?

I asked the students to read the problem as a group. It would have been nice to stop after the first sentence and do a Notice, Wonder, but instead I asked a few questions to make sure people were interpreting the question right.

  • “What’s important here?”
  • “7 teams, 3 times”
  • “What’s a game?”
  • “When two teams play each other.”

They started working, and when they did I made sure I only commented on their process, and I didn’t confer if anything was right or not. Anyone who thought they were done I asked them to explain their process further, or to draw the diagram that the teacher requested. At this point the class was pretty low energy, and seemed to be convinced that they had the right answer.

The was a quiet girl in the middle of the U shaped tables whose method I wanted to talk about first. She literally listed out all of the games, and the rest of the kids just immediately started multiplying. The Elmo didn’t work, and the class was pretty low-energy, so I started by writing what I heard her say, which also allowed me to organize the work slightly (re-writing student work isn’t ideal, she should have done it, but it made sense given the context). Once all the games were up there, grumbling started.

  • “What happened after the AG team?”
  • “Why is there no BA game?”
  • “Why doesn’t G play any games?”

After first thinking that she made a mistake, I encouraged the student to defend her work and explain that after we counted the first ‘AB’ game where The Alligators played The Bears, we didn’t need to count The Bears playing the Alligators. Grumbles.

One of the students who disagreed offered to describe what he did. He said that The Alligators are going to play 3 games against The Bears, 3 games against The Crocodiles… and thus they would play 6 games 3 times, or 18 games. So then the rest of the teams would play 18 games. So then a bunch of people agreed with that, but there were now contrary grumbles about the games being double counted. Around this point people stated asking me what the answer was. I said that’s your job to figure it out. If it’s the answer you should be able to defend it. THe students kept talking about it and as they talked I came up with representations to write on the board to show what they were thinking. I drew a table with ABCDEFG along the side and the top and wrote the number 3 in all the spaces so people could see all the games. As people began to question the number of games, I wrote out the decreasing cascade of games 18+15+12+9+6+3+0 as the student in the back who listed the games began a more vigorous defense of her ideas. The main student opposed to this still had questions and offered to come to the board and draw his own diagram. I stepped to the side. Suddenly 3 students were up there having a screaming match and the rest of the class was following along vigorously. One student had defined “playing” as both hosting a game, and travelling to play a game, and so he was counting the double-counted games. I explained how this misunderstanding of the problem led to his different understanding, and if that is the way it was defined, then the problem would have a different answer. The kids were still wanting me to pick an answer, but I think if you understood the problem differently and can explain your work, then that would be your answer. The class quieted down and everyone said their brain hurt.

Page 2 of 13

Powered by WordPress & Theme by Anders Norén