I know I’m doing it right when I hear students talking about a PoW in the hallways between classes and during their lunch break. It is so nice to know that something triggered them to wonder! I also get a thrill when other teachers tell me that my kids are talking about a problem as they enter their class. Just to know that their conversations/discussions aren’t finished in math just because the bell rang is quite a reward for me. ]]>

Your comments are right on and should be the focus of lesson planning…. the real shift in education will begin when students feel compelled and empowered to learn and place a high value on their own contributions and thinking. ]]>

What great affirmation as we begin a new year to remind us that we have all seen this in our classrooms!

I would add—

I know I am doing it right when–

students start telling me what they notice and wonder about everything in math class, not just when we are problem solving.

]]>Another one might be

A student who is not taking math this semester (or who is taking math but with another teacher) comes looking for you to share a new math idea or problem with you because they knew you would be excited to hear about it! ]]>

I’d like to add that I think #2

2) Students and teachers seem happy to be in class and proud of their contributions

is really important. I’d replace “seem” with “are”. If we focus only on content, we are missing a huge part of what’s important.

]]>When I first read this blog, those were my exact thoughts William. When a students says, “wait, wait, don’t tell me” you know they are deepening their mathematical understanding. And I might add, I suggest this to them by saying those words early in the year when someone solves something and wants to be the first to tell me. I say, “oh, wait, don’t tell me. I have not had time to solve this yet and I am still thinking about it.” I tell the students I like to solve it with them because because everyone learns from the sharing of mathematical thinking along the way to the solution.

The fact that they don’t need me and keep working after the bell rings is such a great moment in teaching! :)

]]>