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Notice and Wonder Warm-Up Routine That Works in Any Math Lesson

  Oct 18, 2026 · @MrPurdyMath Display a picture, like of a roll of cardboard on the board and ask, "What do you notice?" Within a minute, hands go up all over the room, including from students who rarely talk in math class. That's the power of Notice and Wonder: every student has something to say, and no answer is wrong. This routine comes from the National Council of Teachers of Mathematics (NCTM), whose Notice and Wonder lesson plans pair a striking photo with real math. Their cardboard lesson (grades 6–8) is a great example. Its first part works as a five-minute warm-up in almost any lesson. When you have more time, the second part turns it into a full lesson on circles and cylinders. The 4 steps Here's the whole warm-up, using NCTM's photo of a rolled-up sheet of corrugated cardboard. The sample responses come straight from the lesson. Look silently for one minute. Show the image and say, "Take a minute to carefully look over the image." No hands y...

What Can 126 Dots Tell Us About Peace?

On Friday, October 9, the Norwegian Nobel Committee awarded the 2026 Nobel Peace Prize to Navi Pillay. That got me thinking about the prize itself, and about how much a simple picture of its history could tell our students. So I made one. It's a grid of 126 dots. Most are filled. A few are empty. There's no title, no labels and no key. If you're anything like me, you love a graph that starts a conversation before anyone knows what it shows. That's the whole idea behind a slow reveal: students reason about the data first, then get the context a little at a time and revise their thinking as they go. This one takes about 40 minutes, and it works as a 10-minute warm-up if you're short on time. Reveal 1: Just the Dots Start with nothing but the dots. Give students a full minute of quiet think time before anyone talks, then ask the two best questions in math class: What do you notice? What do you wonder? Write down every idea without confirming or correcting it. Students ...

Lessons Learned: My First Year as an Amplify Desmos Math Professional Learning Specialist

When I began my first year as an Amplify Desmos Math High School Professional Learning Specialist , I knew the experience would challenge me to grow as a facilitator and mathematics educator. What I did not fully anticipate was how much learning would happen before I my launch first session with teachers. This post has been a bit delayed, but I am excited to share my experience from year one as an Amplify PLS. Looking back, one of my biggest takeaways is that becoming an effective Professional Learning Specialist is not simply about knowing the curriculum or being comfortable presenting. It is about understanding the mathematics deeply, experiencing the curriculum as a learner, building relationships, engaging in intellectual prep , listening carefully, practicing, receiving feedback, and continually refining your craft. Although I ultimately delivered only one professional learning session during my first year, at the end of August , I grew tremendously throughout the experience. That...

How does America say hello? Using Data Talks to Explore Language, Identity, and Community

What languages are spoken in the United States? How does where you live influence the languages you are likely to hear? And what can data tell us about the communities around us? Nearly 1 in 4 people in the United States speak a language other than English at home. That statistic creates an opportunity to explore percentages, ratios, proportional reasoning, estimation, and data representation while connecting mathematics to language, identity, community, and belonging. I created “How does America say hello?” as a short 5–10 minute data talk using 2024 U.S. Census data to help students make those connections. Starting With Notice and Wonder The routine begins simply. On every slide, I ask: What do you notice? What do you wonder? Students have about 30 seconds to think independently and another 30 seconds to share with a partner. We then hear a few observations and questions before moving into the mathematical prompts. This sequencing is intentional. Rather than telling students what is ...

Conference Season: Sharing, Learning, and Connecting Through Mathematics

It’s that time of year again— conference season . One of my favorite parts of being an educator is the opportunity to step outside of my own classroom, connect with other educators, share ideas, and learn from the experiences of others. Conferences give us a chance to pause from the day-to-day demands of teaching and think about the bigger questions: How can we create better learning experiences for our students? How can we make mathematics more meaningful? How do we ensure every student sees themselves as a mathematician? This year, I’m excited to have the opportunity to present at NCSM, NCTM, AMTNYS, and AMTNYC . While the sessions have different focuses, there are some common threads running through all of them: student agency, meaningful mathematics, data literacy, equitable access, discourse, and creating learning experiences that center students as thinkers. NCSM: Data Stories for Justice At NCSM , I’ll be presenting Data Stories for Justice: Empowering K–12 Students to Investiga...

Beyond the Graph: Building Data Literacy Through Classroom Routines

Every day, our students encounter data. They see statistics in social media posts, sports highlights, advertisements, news stories, weather forecasts, health claims, and infographics. They are constantly presented with graphs, percentages, averages, rankings, and claims about what the numbers supposedly tell us. But being surrounded by data does not automatically make someone data literate. As mathematics educators, we have an opportunity and a responsibility to help students think more critically about the data they encounter in their daily lives by asking deeper questions about the meaning behind it. Questions like: Where did these data come from and who is the source? How were they collected? What does this graph show—and what might it hide? Whose perspectives are represented? Whose are not represented? What patterns or variability do we notice? Is there potential bias? And perhaps most importantly: What conclusions can we reasonably make from the evidence? These questions are at th...

Texas Instruments Teacher Leader Cadre – 2026 Cohort: Key Takeaways

Some of the most meaningful moments in my career have come from learning alongside passionate educators who challenge me to think differently, grow professionally, and ultimately become a better leader and teacher for my students. That’s why I am incredibly excited and honored to share that I have been selected as a member of the 2026 Texas Instruments (T³) Teacher Leader Cadre. This opportunity is more than a professional milestone—it’s an opportunity to join a community of educators who believe mathematics should be engaging, accessible, and empowering for every student. Throughout my career, I’ve been passionate about creating classrooms where students are encouraged to explore, ask questions, take risks, and discover the beauty of mathematics. Technology has always been an important part of that vision—not as a replacement for thinking, but as a catalyst for deeper understanding, curiosity, and meaningful problem solving. As a member of the 2026 T³ Teacher Leader Cadre, I’ll have t...