Coherent conversations about teaching

Imagine four teachers each of whom teaches in different schools in a different context. Even if they all teach the same course, their individual teaching looks different. If these four people come to talk together, they will find it challenging to have a conversation since the way they are teaching is so different from each […]


Apps for the math classroom

Here is an incomplete list of companies making apps for the math classroom. As far as I know, every application made by these people is fantastic. The NY Hall of Science has recently published a series of science and math apps for the iPad. Motion Math has some great low-cost math apps. DragonBox has 4 […]


Working differently

This summer I’ve been doing a lot of task-based curriculum development on a series of fairly short activities. We are trying to develop resources for use with an instructional activity created by Grace Kelemanik and Amy Lucenta called Contemplate then Calculate. A key part of this instructional activity is surfacing the kinds of things people […]


Four blog posts about using student ideas

I wrote four blog posts for NCTM’s Mathematics in the Middle School blog on using student work to understand and plan around student ideas. Each post is about using student work to make inferences about how they understand mathematical ideas and then using those inferences to help you plan. Note that these posts are actually […]


Learning at Conferences

This year when I attended the NCSM and NCTM annual conferences, I had a much different experience than in previous years. I thought it would be worth sharing some ideas I have about how to make it more likely that you learn from a conference experience. If you want to walk away from the conference […]


From Mistake-Makers to Sense-Makers

Here is a video of a short talk I gave on my journey from primarily viewing students as mistake makers to viewing them as sense-makers.      


Teaching Demonstration

This video is a brief demonstration, about 15 minutes, of some teaching I did at the 2015 New Jersey Association of Mathematics Teacher Educator meeting.   Unfortunately, the video tracking is not great so much of the annotation I was doing of the participant ideas is not easy to see as I am doing it. […]


NJAMTE Keynote

This is a recording of a keynote I gave at the New Jersey Association of Mathematics Teacher Educator (NJAMTE) annual meeting.   The audio isn’t terrific unfortunately but it is manageable. The slides, script, references, and resources are available here.  


Fractions are hard

Fractions are hard. Of course, I knew this before my lesson on Saturday, but the responses of my students to a task really drilled that point home for me. Here is the activity I gave my students to do: Here’s what I anticipated they might do: Here’s a sample of what they actually did: Student […]


Looking at student data

Almost every school district across the United States is thinking about how they use data to inform instruction. Not all of them are doing so in ways that I think are likely to lead to useful change. Below is an example of the kind of data that has no useful impact on instruction ever. The […]