TMC16 Reflections


Twitter Math Camp 2016 has officially come and gone. Its impact will be felt for years to come.

This is the type professional development that stays with you. Some of the best minds in mathematics education from all over the world come together and, for three four and a half days, form a mosaic that’s impossible to duplicate. And at the center of it all is a deep-rooted passion for mathematics, pedagogy, and improvement. What happens at TMC changes careers.

This year was no different.

The keynotes by Sara, Jose, Tracy, and Dylan set the tone. Their themes of evangelism, social justice, K-16 collaboration, and deliberate practice all struck chords because they are all things that I’ve been thinking about lately. I found myself constantly referring back to them throughout the conference.

The morning sessions provided a calm, relaxing space to reflect deeply on a specific aspect of my practice: questioning. I rediscovered the power that a question holds – especially when it comes from your student.

The My Favorite and afternoon sessions added some valuable new tools to my toolbox. I am now fully equipped to jump off some cliffs take plenty of risks next year.

I can’t go a word further without thanking Math for America for supporting my TMC16 journey through their Impact Grant. Once again, they have demonstrated why they are the best thing to ever happen to my teaching career.

Everything below is not intended to be summary of TMC16. Instead, it is a collection of personal discoveries and relationships that I made over the course of those four and a half wonderful days in Minneapolis, Minnesota. There are many.


Day 0 (Desmos Preconference) – Friday, July 15, 2016

  • Damn. Dan Meyer is tall.
  • The collaboration document containing all pertinent links.
  • Desmos is now accessible for visually impaired users. This is huge. Desmos understands that as teachers and students become more and more dependent on their product, the calculator needs higher levels of accessibility to avoid disappointing the masses. Kudos to them for continually aiming to please their users.
  • I don’t sit and play with Desmos enough. This day gave me the opportunity to muck around via the scavenger hunt. Two standouts: learning how to use lists and regressions with draggable points. Good stuff.
  • Sara Vanderwerf challenged us all to be evangelists. This was pure inspiration. She’s all passion…one of those educators that I aspire to be. Takeaways: a) find your evangelical goal, b) read The Art of Evangelism by Guy Kawasaki, c) have students use the Desmos app in class (a lot) – especially at the beginning of the year…equity and access, and d) minimize visual noise in the classroom (read more about her math wall of shame). Notes.
  • I met Abby Rosa, who teaches at a correctional facility. This rocked my world. I had so many questions for her.
  • I chatted with Paul Kelley who is on the board of directors at NCTM. Pretty cool.
  • We can now create marbleslides and card sorts ourselves in Desmos. The collective uproar on this was deafening. I tinkered and created a card sort on relations.
  • Desmos socks. Finally.


Day 1 – Saturday, July 16, 2016

  • Started off by scouring the area for a decent breakfast spot. I hate hotels without complimentary morning grub. It’s a crime.
  • I chose my morning session because I’ll be facilitating a book club in the fall with Math for America and wanted to get my feet wet. The group only consists of four of us. Norma Gordon is the facilitator. The focus of the day was A More Beautiful Question by Warren Berger, which I have read before. We spent 45 minutes reading the book followed by discourse around inquiry and why it’s so vital to student achievement. Takeaways: Get students to ask the questions, ask students questions that Google can’t answer, that students are the “research and development division” of the human species, game-changing ideas stem from a cycle of What?, What if?, and Why? questions, and teaching inquiry through experience and not merely because the teacher says to. Notes.
  • I spent the majority of lunch with Tina Cardone, who is also part of the book club morning sessions. I’ve known of her for a long time, so getting the opportunity to have an extended conversation and get to know her better was a real treat. We talked about our schools, why we teach where we do, the transparency that’s needed with students with special needs, and our mutual love for root beer. She even introduced me to Pokemon!
  • My Favorites. Jonathan Claydon’s Varisty Math is outstanding. He’s turned learning mathematics into a brand. And he’s marketing it. Next year, I’d love to start off with stickers/patches and possibly lead up t-shirts at some point. Brilliant stuff here from Jonathan. Also, I should read into Ms. Pacman transformations from Robert Kaplinsky and other teachers that have used it. Notes.
  • Jose Vilson‘s keynote was full of candid talk (video). After my recent post of my own inspired by his book, I was excited to hear him speak. He message was clear: I need you. His call to the whole of MTBoS was direct. We need to place more of a focus on social justice and equity for the students that need it most. We need to go beyond mathematics. No matter where we teach, your students are my students and mine are yours. He fielded questions and challenged us all to deliberately seek to address issues of race and social class. Notes.
  • Next up was the Talking Points session with Elizabeth Statmore. I think she’s my new hero. Backed by research, she demonstrated why quality exploratory talk amongst students is the number one predictor of effective group work. This is especially pertinent to me because of my goals for group work. Talking Points are a simple way to promote flexible thinking, vulnerability, and listening. Here are some examples. I also loved Reader’s Theatre…it is a fun way to introduce it (or any other structure) in a way that is friendly and inviting. Maybe I should read the book this summer? Also, Glen Waddell mentioned Open Middle problems, which I had never heard of. Notes.
  • Julie Wright closed the day with her talk on using feedback quizzes to promote low-stakes learning. She described her system of providing detailed, written, unscored assessments. I pondered this idea of (efficient) feedback last year. It involves scanning students exams as a single PDF, inserting typed feedback (no scores), and handing them back to students for revision. Feedback is colored-coded for the teacher, but students only see black. All students receive equal amounts of feedback. Notes.


Day 2 – Sunday, July 17, 2016

  • Cereal in my room. A solid decision.
  • My favorites. David Sabol, a Clevelander (!), used some pretty cool data to illustrate his usage of maps and voronoi diagrams to promote engagement, modeling, and low-floor, high-ceiling mathematics. Anna Blinstein highlighted her commitment to flipped assessment (feedback meetings) with students, which really interested me because I considered (private) the same thing last February. She wants to maximize the time spends on feedback and conferencing with individual, pairs, or triads of students is her way of doing this. I see value here and want to pick her brain more about her system. Notes.
  • Day 2 of the book club kicked off with an hour of reading A More Beautiful Question followed by using the Interview Design and Dialog protocol. I felt good about the protocol. Takeaways from the day’s reading: how student-generated questions from underserved youth can evoke social justice, why the “professionalism” of asking questions serves to maintain the status quo of those in authority, and the potential impact of a “Be a Skeptic” theme for my classroom next year. Notes.
  • I spent lunch getting to know Sandy Ketterling, a.k.a. the queen of baking. She teaches on an Indian reservation. Sweet lady. Go warriors!
  • My favorites. Sam Shah again amazed me with his work on Connie Haugneland made my weekend by sharing her uplifting story about sponsoring a student and building a school in Rwanda. Her experiences have inspired her to move to Rwanda and dive even deeper into this work. Connie, thank you for embracing a cause that many of us distance ourselves from. Notes.
  • I caught up with Andy Pethan. A cool dude. Down-to-earth. Relatable. Smart. Shame there was no frisbee this go around.
  • In her keynote, Tracy Zager did a lot to open up the collaboration pathways between elementary and secondary mathematics teachers (video). Her passion called on us to do a better job of bridging the divide that exists between us. Interestingly, I’ve recently given thought to this. We have so much to learn from one another and she provided several examples of mathematical pedagogy that prove that we are stronger together. When we make our learning and vulnerabilities public, amazing things happen. Let’s be intentional and move beyond the self-imposed boundaries we call grade levels. And please, don’t call elementary mathematics the “basics.” Notes.
  • Dylan Kane and Nicole Hansen supplemented the New Visions course I’m taking this summer by exploring mathematical structure, Mathematical Practice Standard 7. I’ve long admired Dylan as a humble, well-articulated, knowledgable source on teaching and Nicole proved likewise. Through this session I realized the need for a routine (ahem…New Visions) to surface structure for kids and help them to leverage it. The shift from procedural to structural thinking has caused me to rethink so much of mathematics and how I teach it. The goal is getting kids thinking flexibly using structure within a problem and between problems. I feel the earth moving on this one. Oh yeah. Big improvements on the way. Notes.
  • The day wrapped up with Jonathan Claydon and his unorthodox approach of implementing curriculum. He is so damn inspiring. Last week, by happenstance, I stumbled upon his post that motivated the session, so I had a pretty good idea what was on tap. He shared how and why he decided to hack the traditional curriculum to pieces. His centers his planning on skills rather than content. This allows for more continuity throughout the year and less disjointed learning. It’s a really interesting structure that I’m looking to adopt. The inception button and marble races were also outstanding takeaways. Notes.


Day 3 – Monday, July 18, 2016

  • A breakfast disappointment. Although, there was fresh fruit was involved – so it wasn’t a total meltdown.
  • My favorites. Joel Bezaire discussed an incredibly simple game that he uses with his students. I want to try this. It’s straightforward, but can get deceptively challenging. Sort of reminds of a Sudoku or KenKen. He has a website dedicated to the game and an archive of versions he’s already created. Gregory Taylor blew everyone away with his math song about the cubic formula based on a hymn from Sister Act. And Edmund Harris delighted us all by revealing that his new coloring book, Visions of the Universe, will debut on November 29, 2016. To ice the cake, there will be four lesson plans written by MTBoS teachers (Sam is one) that will align with the two coloring books. Notes.
  • The final day of the book club opened up with an informal discussion about protocols that digressed into teaching strategies. Tina showed us a “step-by-step” activity similar to this one, but in her case students fold the paper backwards to hide all previous work before passing it left or right. I feel desk surfaces are underutilized spaces, and Norma made a great point that whatever is attached shouldn’t be static because, over time, students will simply ignore it. Shop ticket holders were brought up as a possible solution. Takeaways from the day’s reading/discussion: stay away from answers – live in the questions, we must stop doing and knowing in order to ask, we know far less than our intuition leads us to believe, ask why five times, and Tina’s idea of having a reflection question based on the day of the week (e.g. Tuesday: What’s one good thing that happened to you in the past week?). A possible MTBoS book exchange was also brought up, which I love. Notes.
  • My Favorites. Denis Sheeran discussed his initiative I See Math, which encourages us to step back, simplify our approach, let student misconceptions come forward, and frame real-world situations with mathematics. It’s a structure consisting of three slides: title, image, and question. He also showed us two cool games to play with Google Maps: Geoguessr (old) and SmartyPins (new), both of which are really fun. Notes.
  • Dylan Kane was the last keynote of the conference. Dylan detailed his first few years teaching by admitting that he tirelessly searched for and tried out so many resources he found through MTBoS. What he learned was that despite being extremely dedicated to improvement, he wasn’t deliberate. He constantly referenced the elements of deliberate practice as outlined in Peak by Anders Ericsson and Robert Pool (a superb book): getting out of your comfort zone, being specific, including feedback, and being goal-oriented. His inspiration seems to stem from asking the question, “What would MTBoS do?” when stuck between a rock and a hard place. He mentioned that we can meaningfully improve our practice by about 10% each year. Call to action: How will I distribute that 10% and how will I be more purposeful about it? Notes.
  • I missed out on the Assessing What We Value (Experience-First Mathematics) afternoon session. I want to read up on this.
  • The awesome Alex Overwijk was up next with Go With the Flow. His speciality is accomplishing flow in the classroom and references the work of Peter Liljedahl with vertical non-permanent surfaces (VNPS) and visible random groupings (VRG) to accomplish this. He recommended the book Flow by Mihaly Csikszentmihalyi and an article by Peter. He proceeded to demo the strategy with the taxman problem which left me in awe. Critical note: The brilliance behind this strategy goes far beyond using vertical whiteboards. The majority of the impact lies in how one facilitates student work and keeps them in an optimal state of engagement. He challenged us to give students less and allow learning to happen naturally. Now I know what all the hype is about with VNPS. At some point, I must try this next year. Notes.
  • Minnesota-based teacher Annie Perkins brought folks together in her flex session to talk about how she introduces students to mathematicians that look more like them in terms of ethnicity, LGBT, etc. Here is an example. It’s a form of social justice that she calls “The Mathematicians Project.” She uses Wikipedia to research mathematicians and dedicates 5-10 minutes each Friday to present one mathematician to her students. She polls her students to determine who to present. The impact on her students has been remarkable. She is looking to post all the mathematicians she presents in her classroom and even see if she can get some living ones to pay a visit to her students. The close of the session included a discussion about how to advance social justice within our classrooms and the MTBoS. The hashtag #sjmath was mentioned and Radical Math was shared for mathematics-based, social justice-themed resources. Sheila Orr and Wendy Menard are also great ambassadors of this work.  Notes.


Day 4 – Tuesday, July 19, 2016

  • I ate the hotel breakfast!
  • My favorites. Amy Zimmer shared a really cool ice breaker that focuses on the collective interests of the members of the group. What stood out to me was how she highlights the process the groups use arrive at their choices. This turns into a great class discussion about group chemistry and teamwork. Max shared his a congruent triangles example of his work on ARCs, each of which consist of NCTM resources pieced together in single coherent resource. He’s going to share those with me, which I’d like to play around with. Glenn Waddell received a standing ovation for sharing how he has faced his fears…and how it has completely changed his life (video). Megan testified on how a boring moment at a PD can lead to presenting at a State Fair with the likes of Christopher Danielson. I appreciate her humility. And what an interesting exploration she developed! Hannah Mesick gave me a really good idea about displaying birthdays as functions (video). So intuitive. Notes.



My Year in Review & 2015 Resolutions


Colored pencils

2014 was an awesome year for my growth as a teacher. Here’s an abbreviated recap of my past year.


This spring, I had the opportunity to chaperon a school trip to Europe. Myself, two colleagues, and six young people ventured to London, Paris and Rome over spring break. For the students, it was a once-in-a-lifetime experience and it was truly an honor to help it become a reality.

This was my first year NOT teaching summer school. Before the summer, I wanted it be an incubation period for my own personal growth. I wanted time off to relax and recharge, of course, but I also wanted time to reflect and become a better teacher for my students. It didn’t disappoint. I will never forget the summer of 2014.


In August, I took a two-week class at United Bicycle Institute on bicycle mechanics. I’ve been enthused about bicycles for a long, long time and this was a chance to follow my passion and earn a technical certification. I expected to learn a good deal about bicycles, but I what I didn’t expect was for it to change my perspective on teaching. Forever.

Professional Development

Building on my goal of becoming a better teacher this summer, I attended Twitter Math Camp in July for the first time. This was by far one of the best professional development experiences I’ve ever had. The teachers were incredible. Their work and passion were both humbling and inspiring. After TMC, I started, which has transformed how I view reflection and collaboration. I used to think I would never have time to write about my teaching. I’ve learned that not only do I have the time, but also that writing and reflecting is just as necessary to my teaching as writing lessons plans.

This was also year 2 of my Math for America Master Teacher fellowship. My focus this year was on 3-act math activities, robotics, and arduinos. Shaun Errichiello spearheaded the 3-act team, I helped lead the robotics group with Rick Lee, and Mike Zitolo introduced me and many others to the vast world of arduinos. Math for America was absolutely critical in my growth this year. I made it a point to give back to the MfA community by leading workshops and speaking at Information Sessions. I also attended the MT^2 event again, which was both enlightening and motivating.

Following up on the bicycle mechanics certification I got this summer, I brought this knowledge back to my students by starting a bicycle club at my school. In preparation, in the fall I attended a six-week teacher-mechanic course provided by Karen Overton and Recycle-a-Bicycle. I then began teaching my students mechanics and will be doing some after-school groups rides in 2015.

I joined the 2014-15 professional development committee at my school. Myself and five other teachers plan weekly professional development sessions for our colleagues. I felt responsible to give back to our learning community and help harness the strengths of our teachers. The work is promising and I thoroughly enjoy it.

2015 Resolutions

I have a couple resolutions for my teaching in 2015. One is to implement standard-based grading in my classroom. I want to shift the mindset of my students away from grades. Our focus in the classroom should be on learning and mastering content, not rewards or labels that mask what you truly know (or don’t know).

Thanks to my discussions with Mike Zitolo, who also shares this resolution, I want to make an extra effort to visit other teacher’s classrooms in 2015, both in my school and out. Watching and listening are incredibly underrated skills. Hopefully this resolution not only strengthens my ability to teach math, but also furthers my connections with teachers from other disciplines.

Here’s to 2014. I’ve probably never grown more than I have this year. But this was by no means a journey of one. There are so many people and organizations that helped me in varying ways. Thanks to everyone I collaborated with and all who provided me opportunities to grow in 2014.

I hope 2015 holds even more growth.



Inspiring and Humbling

on the bikes
Me, Mike, and Mike on a early morning TMC14 bike ride

It’s been a few days since Twitter Math Camp 2014 and here I find myself reflecting on the whole shindig. If I had to sum it up in one word…I wouldn’t. I would choose two words instead: inspiring and humbling.

I chose those words carefully. During those three and a half days, I was surrounded by folks with amazing ideas. I mean these people are doing AWESOME things with their kids. Because of this, I have nothing but admiration for the other 149 attendees of the conference. At the same time, I realized (yet again) how much I do not know about teaching. I am hungry to learn and gobble up everything I can (be selfish as Lisa put it), but there will always, always, always be more to learn. For this fact, I am deeply humbled by all of the knowledge and expertise I was able interact with at TMC14.

I could on and on about all the ideas I took from TMC14, as this was the absolute best professional development experience I have participated in. I’ll try and simplify some of the tools/resources/sessions/ideas that immediately stand out to me (in no particular order):

  • Plickers – amazing app that essentially allows you to use paper and your mobile device’s cam to poll your audience…just like a set of clickers (response system) would.
  •  60 Formative Assessment Strategies in 60 Minutes – awesome ideas. Check them out, very practical.
  • Steve Leinward’s idea that student’s are poisoned for life when teachers introduce a concept in an ineffective way. Powerful stuff.
  • Justin Lanier’s recommendations of How Children Learn and How Children Fail by John Holt.
  • The concepts of “Make a one/zero” and “Use a one/zero” when simplifying expressions and solving equations (instead of traditional methods). I forget who it was that told me about them, but thank you.
  • Malke Rosenfeld and Chris and the Math In Your Feet sessions. I will never see dancing in a non-mathematical way again. Step, slide, turn! See it action here (1 of 6). #bluetapelounge
  • Not using numeric grades for students. Instead, use stickers and stamps to assign grades. From Andrew Mazarakis. It sounds odd, but removing numbers from the grading system could be useful.
  • Absolute value blackjack from Anthony Rossetti. Just plain fun. Even for high schoolers.
  • Just how awesome Eli Luberoff and the Desmos team is. They are a company truly all about education. How refreshing.
  • Nik Doran and his push for Hinge Questions. I’ve never thought about multiple-choice questions in this very bottom-up, diagnostic way.

I’ve actually thought about this post since we left TMC14, wondering what it would look like. Also, given that it’s my inaugural post, I guess that had something to do with it as well. Part inspirational and part humbling. And now that its done, I’m glad. Reflection is essential to us all. I’m eager to travel on this journey. I cannot guarantee much along the way….but I do guarantee more questions than answers.