Reflecting on DingleTeach Wisdom

Saw this today, and pretty immediately started listening.

I hope that all of you are now familiar with Marian Dingle @dingleteach, either way, you will learn a lot from this conversation. She’s an elementary teacher with a seemingly infinite depth of wisdom and eloquence. Passionate about bringing social justice to her classroom and yours. Relentless about making sure our conversations aren’t superficial. Go listen to this conversation. It’s long, but it’s totally worth it. You will learn a lot.

Taking a Knee in Math Class

Here are a few thoughts I had while listening and a few personal reflections on myself and my teaching.

I have a lot of work to do to broaden the impact of any work that I do. 

I’m currently at a pretty self-centered place when it comes to teaching, learning, and my classroom. I struggle to effectively collaborate with other teachers, and I’m not nearly as vocal as I could be, even when I know my voice will be heard. (Not necessarily heeded, but it is often heard.) In the podcast, Marian asks us to challenge the conscious and unconscious expectations we have of students. I like to think that I’m trying to do that. When I grade, I am always in my head asking whether I’ve scored students fairly based on the work in front of me, or whether I’ve graded them based on what my perceived expectations are for them. I regularly catch myself being unfair, and I try to rectify that. I think about that all the time, but I think this is the first time I’ve said it “aloud”. I don’t regularly talk to other teachers about it, because it’s uncomfortable. I should get over that. I try to also be in my head during class – who am I talking to? Who am I giving wait time to? With whom am I being too helpful and with whom am I not helping enough?

Marian also asks what teachers are doing to center their students of color (SOC). I like to think that I’m trying to do that, too. I have consciously and intentionally invited several SOC to join my “advanced” classes and had conferences with them after they’ve joined to see how it’s going. This I do bring up in staff meetings, and I do try to regularly ask other teachers how they’re helping to make the advanced classes more representative of our student body (read: more SOC).

I pay close attention to whose voices are heard in my classroom, and try to lift up the voices of SOC. Students have talked to me about this being a problem in the past, and I’m trying, in daily discussions, to make sure SOC are heard every time they want to speak. I also try to actively seek their voice when they aren’t volunteering. This of course, is touchy because I don’t want to put them on the spot, but I do things like asking SOC during work time if they’re willing to share their ideas, and or I ask if I can display their work. I am positive that I could do better, that I can do more, but I am trying to do this. I have not, however, tried much, to talk to other educators about it. I should do that. (This is a start.)

I have a RIDICULOUS amount of privilege. Despite my efforts to try to be more conscious of it, I still don’t see it all. 

Early on in the conversation, Marian talked about how she wanted to start talking this year about race and social justice in her classes, so she went to her administrator and held parent meetings. My initial reaction to this was to wonder why she felt she needed to go through these hoops. When I’ve wanted to talk about race, or any other perceived “touchy” subject, I’ve just done so. I never doubted that I would be able to deal with any blow back, nor that it would be doubted I had the right to talk about it in class. Now, it’s true that Marian is just better than I am at foresight and she is more cognizant of the community at large. As I alluded to above, I think that I’m working primarily at an individual level rather than a collective. But it’s striking to me that while I feel I can just start talking about these things, Marian prepared.

See that? Not only has Marian, a black woman, (and she talks about this in the podcast) had to repeatedly justify her expertise to her staff, admin, parents, and students, she anticipated the possible issues with discussing race and social justice in her classroom and took preemptive efforts to address those. I’ve never felt the need. I haven’t had parent meetings, felt like I needed to head’s up my administrator, nor that it would be reasonable of anyone to question that I want to bring these issues to my classroom. That’s privilege, and I didn’t see it until listening to this conversation.

History, especially misguided history, is a palpable thing that dramatically impacts us. When it’s not questioned, when parts are left out, it is so damaging. 

Marian mentioned Hidden Figures in the podcast, and how angry she was that this part of history had been hidden from her. (She also noted frustration that the math community wasn’t as hype about it as she expected. She’s not alone. I was jarred by the lack of enthusiasm in the math teaching world for the movie.) The host of the podcast, Dr. Angela Dye, also mentioned that she has only recently discovered she enjoys math, and that had life been different, she might have taken a different path, citing a lack of access to knowledge about math careers or role models. They also open the podcast talking about what is present in American history texts and what isn’t. I’ve only recently started reflecting on my own historical education, and although I’m really not that old (I’m 32), I have experienced some pretty messed up history in my time. I absolutely recall being told that the civil war wasn’t really about slavery, it was about “economy”. I remember the day. I’m only starting now to be able to dismantle the damage done to my biases from being taught growing up “to not see color”. When I think of the scope of how often these things were taught and how embedded they are into my generation (and each generation has its own), it is horrifying.

Marian mentions the Mathematician’s Project in the podcast, and more importantly, that while it’s a first step, it’s just that. I have so many feelings about it. I firmly believe it to be a good thing, but I will share that my perception of it has changed so much over time. When I first started doing it, even though it was my student’s idea, I’ll admit that I totally patted myself on the back. As I’ve shared it with more and more educators, though, I’ve started to get a sinking feeling. It has always felt kind of weird to me, that this thing, a trove of mathematicians of many backgrounds, hasn’t already had a place, an institution, where it existed before. There are TONS of similar projects out there, but they all seem disconnected and fledgling. Mine, too. What makes me feel so uneasy is that it seems so revolutionary to so many people I talk to. It should not be revolutionary. It’s not something one should pat ourselves on the back for, it’s something we should be ashamed wasn’t cooked into schools from the first. We’re not doing “extra” good work here, we’re making up for the failures of how we present mathematics and who gets the accolades for it. I will likely continue to do the mathematicians project for the rest of my career, and it will only just be a start.

There is so much more in the podcast. Please go listen to it. We are so blessed that Marian is part of our community, and so blessed that she’s dedicated so much time to reaching out to have conversations with colleagues.


MTBoS Books: Pushout (March 3) & For White Folks Who Teach in the Hood (April 14)

Hey everyone! We’re now on to MTBoS BookClub #4 & #5.

Book Club #4: Pushout: The Criminalization of Black Girls in Schools by Monique W. Morris on March 3rd.

Pushout Cover

Book Club #5: For White Folks Who Teach in the Hood…and the Rest of Y’all too: Reality Pedagogy & Urban Education by Christopher Emdin on April 14th.

for white folks book cover

EVERYONE is welcome to join in. We’ll meet in person in Minneapolis at Urban Growler, and for a twitter conversation online right after.

The New Jim Crow: Discussions

TL;DR Black and White people use and sell drugs at remarkably similar rates. The New Jim Crow does and EXTRAORDINARY job of laying out the systematic ways that Black and Brown people have been unjustly locked up in the “war on drugs”. It goes (deep) into the history of the war on drugs, the ways police are incentivized to over arrest, how and why Black communities are targeted even though data would point police elsewhere, and how courts have been used to solidify the system. We don’t allow Jim Crow laws anymore, and we call out overt racism, but racism has just morphed to fit this new system. Honestly, don’t read this blog post, go read the book. 

The next #mtbos book club meeting is next Saturday, January 20. In person in Minneapolis, on twitter if you can’t join us here. It’s on The New Jim Crow by Michelle Alexander. Full confession, I am not yet done with the book. I’m about 2/3 through it, but I want to get the ball rolling, and Marian Dingle (@dingleteach) made the very good point that MLK day would be a good one for this book. 

Instead of summarizing the book here, what I’d like to do is share conversations I had with my class over the past week. I’ll be tweeting out lots of things from the book throughout the day once this is posted.

On January 8th, “The New Jim Crow” was trending on twitter. Marian forwarded me a tweet from Sean King.  Continue reading

#MTBoS Book Club! The New Jim Crow January 20th

Join us! January 20th, 3PM in person in Minneapolis, 4PM for a twitter chat, and on this blog (and yours! Or guest post here!) to discuss The New Jim Crow by Michelle Alexander.

New Jim Crow

For those unfamiliar, this is a book club primarily for math teachers (but honestly, EVERYONE is welcome!), because math teachers, like everyone else, have a responsibility to educate themselves on race and equity in America. We’re reading, we’re learning, we’re talking, and you should totally join us.

If you’re around Minneapolis, we’ll meet at 3pm at Urban Growler. (RSVP here so I know how big of a table to grab!)

Let me know how excited you are (then I’ll try to tag and actively engage you) in the comments, and join us!

I would love to hear suggestions for the next book, too!

The #MTBoS is Exhausting and Exhilarating #unsexy






Oh my gosh. It’s 6:30pm, and I’ve been wondering for a least an hour if I can go to bed. This time of the school year is totally exhausting. And just for fun-zies, my school decided to LOSE THEIR GOSH DARN MINDS by concocting a torturous schedule today that included…

  • Late start (read: 2 hours of meetings)
  • An assembly that included a 10 minute video with no words
  • An hour long advisory period
  • And, oh, did I mention that I found out about this schedule yesterday?

I tweeted about this last night, and true to form, MTBoS did their darndest to give me excellent suggestions.

It just wouldn’t end. My god. All of these thoughtful, helpful suggestions. I’m not even including them all because I’m tired of copying and pasting the darn links.

Allow me to be perfectly clear. I adore each and every person who gave me suggestions (especially Bowen, I really needed that laugh). It was nothing if not thoughtful of them to see, “Geez, Annie needs help planning for such absurd classes, allow me to remind her of all our MTBoSy awesomeness!” (I imagined each and every one of these people wearing a cheerleading outfit as they typed to me.) I am not here to disparage them. I am here to declare instead of planning an awesome, amazing lesson using their super duper helpful suggestions: I spent 15 minutes answering kid’s questions and had them make a cheat sheet for their test tomorrow. That’s right. I went #UNSEXY, and I feel freaking fabulous about it. 

When I’m up and excited, MTBoS is constantly cheering me on and totally there for me. When I’m grouchy and exhausted…MTBoS is….constantly cheering me on and totally there for me. Which, frankly, is occasionally dreadful. Yesterday, I just wanted to vent that I was going to have an horrifically disrupted day, but MTBoS was all, “Come on, Annie! You can do it! Think about how awesome all these teachers are, and they seem to never ever get tired or ever feel overwhelmed!” Like a twerpy little sick kick that’s always trying to pump you up. All thoughtful and s***. Ugh. (But seriously, I love you guys.)

I completely understand that I am a jerk for whining that I have a supportive community that’s always trying to pour energy and love into me. I know. And I know that I have been that twerpy side kick many, many times. But I just wanted to make sure that OTHER people also know that while I love the MTBoS completely, am SO stinking grateful for all it has given to me and my students, it’s okay to occasionally plug your ears, say, “LALALALALALA!” and give the kids a worksheet. It is emphatically NOT okay to do this on the regular, but if it’s what you need to do in the moment, don’t necessarily feel like you’ve let them down, nor that you’ve utterly failed your students.  Teaching is a long game, and if you’re volunteering for every play, you’re going to run yourself down and burn out. I truly believe that.

And you know what? The day was fine. By not having a phenomenal activity planned for our fifteen minute sprints, I had time to chat with students that I don’t have every day. I got to have some conversations about what I really love about math and what I think is ridiculous. I got to hear about what they’re up to. So, honestly, I feel pretty good about phoning it in on the lesson planning today.

And then when I got home, I saw this kind mention, which brought me back to a blog post I’d written over a year ago, that reminded me of all the good stuff.

Teaching take a lot of energy, and it’s okay to conserve for a while. I’ve learned my lesson that MTBoS is not always the best place to get an empathetic “that sucks”, (although I’m sure that if I asked for it, I would get it) but it is a great place to turn for help when you need to know that someone out there believes in you and wants you to do well for your students.

Guest Post! Marian Dingle on “Weapons of Math Destruction”

I have been extraordinarily blessed to have Marian Dingle join me in reading and discussing books for a #mtbos bookClub, and she has graciously written a reflection on the recent book, Weapons of Math Destruction by Cathy O’Neil. Enjoy, then follow Marian’s blog and chat with her on twitter @dingleteach

Weapons of Math Destruction: Post-Chat Thoughts

By Marian Dingle

First, I’d like to thank Annie for her work and dedication in starting and maintaining this #mtbos book chat series. I am humbled she has allowed me to share my thoughts here. I am afraid that I have far too many more questions than I have answers. But we are all here to learn together, right?

Briefly defined, a WMD (weapon of math destruction) is an algorithm that seeks to quantify certain traits in order to predict outcomes. This alone is not a new concept; we are taught to model in this way throughout our K-12 mathematical experience through algebraic relationships, calculus maximization, and even micro- and macroeconomics. What separates the modeling in WMDs is the curious ways it enters our livelihoods and the scale at which it occurs.

Initial reactions ranged from shock to validation, mixed with an urge to act.

An important point is that the author, Cathy O’Neill, a former quant who participated in creating and applying these WMDs, began as one certainly meaning no harm, but had an epiphany, ultimately leaving this lucrative field. Sherri, below, made a great point that the fact that O’Neill is female, and probably a Wall Street outsider, enabled her to see things with slightly different eyes.

Now for my (tangential?) thoughts. Of the many topics O’Neill discusses, I was struck by college selection. Although I do look at rankings, they were not much of a factor when considering college choices for my two children. As a person of color, I have learned not to solely rely on such rankings, as the information that is crucial to my family is often not captured there. Yes, I want my children to attend a “good” school, but my definition of good includes support of marginalized students, their graduation rates, and the number of faculty members of color. A brand-name university can potentially be more harmful than beneficial. This is a reality that many people of color face.

Informal algorithms like these are often generated through social networks and aid in other decisions such as where to live, work, and enroll children in K-12 settings. Would it be helpful to have more quants of color designing algorithms for big data? Perhaps, but is it even more important to control the question the algorithm seeks to answer? Would this help us with results of standardized testing? Are tests designed to justify the existence of an achievement gap? Can we design one to dismantle oppressive systems?

As we think about our roles going forward, I think it’s worth pondering our roles up to this point. More and more educators are agreeing that education and teaching, even in mathematics, is not neutral. What we choose to discuss, and not to discuss, reflects our politics, and affects our students. Do we discuss the purpose of mathematics with our students or colleagues? Have we created a space for them to discuss how mathematics can be used to support bias? Do we even ask them what they think? Do we know what we think?

What I know for sure is that we can no longer afford to be silent. Courage is required to analyze our own agendas and roles in this work.

Geez, These Links are Complex

Many of the drawings I do are the ones that simply seem to me as though they’ll be interesting. Sometimes they meet my expectations, sometimes they don’t, and occasionally they wildly exceed them. This drawing is of the latter quality.


I’m not actually that pleased with what it looks like. It’s not particularly pretty. I also spaced out and mixed up the purple and red in the bottom right image. But the mathematical results are really neat. Here’s what I was hoping to do with it. These are what I would call 4×4 grids, each that has exactly 1 break in it. For reference, here’s what a 4×4 looks like with no breaks.

4 by 4

Up until now, I’ve been thinking of this as 4 distinct links. In my head, I have labeled them 1, 2, 3 and 4 starting at the top left of the image, and moving right along the top. Thus, in this picture, dark green is 1, light green is 2, pink is 3 and purple is 4.

link numbersI now think this might be incorrect, and I should instead think of it in symmetric terms where 1 and 4 are the same link with a plurality of two, and links 2 and 3 are the same, also with a plurality of 2. Allow me to explain why.

In planning the image at the top of this post, I wanted to try putting a single break in all of the unique places a single break might exist in a 4 by 4 grid. Those are shown below. Each yellow line is a unique breaking point, with the white lines representing the duplicate breaking points that could be obtained by reflections or rotations. (Note that all the vertical breaks can become horizontal if you just rotate.)


I also disregarded the any breaks on the farther outside spaces because the resulting link would have to have a section traveling vertically rather than at the usual 45 degree angle. Maybe I should have considerd these, but they seem to be an expansion beyond the type of link I wanted to consider for now.

disregarded break

Okay. So, I started drawing. Part of what I like about the length of time these drawings take is that I have built in time to ponder what’s happening. I decided on the fly to color in all of the links affected by the break first. I wasn’t particularly surprised to find that each break had essentially connected two of the four links. 2017-11-12 18.11.38

In fact, I thought, “That makes perfect sense!” Because if the break connected 2 links, and if I had, in fact, found all the unique breaks, I should have 4 choose 2 different images! Brilliant. So I should have a graph that connects links 1 & 2, 1 & 3, 1 & 4, 2 & 3, 2 & 4, and 3 & 4! I dutifully started to identify them aaaand… well, crap. For one thing, link 1 appears FIVE times. What the hell?!

link 1

I mean… that’s ridiculous. Link 2 appears twice, Link 3 appears three times, and Link 4 appears only twice. So are some links… more…. important (?) that others?

For that matter, there are TWO images that connect Links 1 and 4. Yet there’s only one image that connects links 2 and 3. Upon inspection, I can see why this is. There are two totally different breaks in the 1 & 4 images. One of the breaks (bottom row middle) connects to the center opening, and one of the breaks (bottom row right) doesn’t. Clearly, those are different. And the image connecting links 2 and 3 only has one unique type of link because I had disregarded the second type since it would give me a weird looking link. breaks connecting

Had I not abandoned the links on the furthest outside, I would have gotten two more images that would connect links 1 & 2, and links 2 & 3. The images I currently have shown are in grey below. The missing images are shown in green.

link net

I think I can resolve some of this by no longer naming the links 1, 2, 3 & 4, but rather naming them in symmetric pairs, but it’s getting late and I should finish up some school work before tomorrow.

In the meantime, here’s a time lapse for your viewing pleasure.



If you would like to join in on the fun, please add thoughts or comments below. Please do not join in if you happen to have already solved this problem and just want to show off or give out answers.


UPDATE (11/13/17)

I have created the ghastly disregarded links in the name of mathematical inquiry. I feel justified in abandoning them as horrible, but the data may be useful, so here they are.