Almost 3 years ago now, some math teachers in our school board returned from a conference with two concepts from the research of Peter Liljedahl; vertical non-permanent surfaces (VNPS) & visibly random grouping (VRG). I was blown away by these 2 strategies & implemented them in my classroom immediately after learning about them.
Peter tells a great story about a Math teacher saying upon meeting him “Oh, you’re the vertical surfaces guy!”. While he’s happy that teachers are finding benefit from implementing VNPS in their classrooms, he hopes those teachers will be inspired to go even further and delve into the 11 conditions Peter says will help us build “Thinking Classrooms”. A thinking classroom is . . .
“a classroom that is not only conducive to thinking but also occasions thinking, a space that is inhabited by thinking individuals as well as individuals thinking collectively, learning together, and constructing knowledge and understanding through activity and discussion” (Liljedahl, 2016)
In his chapter titled “Building thinking classrooms: Conditions for problem solving” Peter outlines 11 practices teachers can adopt in order to build a Thinking Classroom. Actually, I think that chapter proposes 9 of them, and Peter has an upcoming chapter to be released that details all 11 practices that his most recent research has unveiled. Here is my sketchnote summary of those practices:
Building a thinking classroom:
- Begin with problems/tasks
- Visibly random groups
- Vertical non-permanent surfaces
- Oral instructions
- Defront the room
- Answer “keep thinking” questions
- Build autonomy
- Hints & extensions to maintain flow
- Level to the bottom
- Student-created notes
That last one is the one I am the least clear about what it entails. I heard Peter say in a talk that it would take him another 3 hour session just to cover that piece alone. I’m hoping that the more I explore his publications, the more I’ll learn about what he proposes for assessment as I am keen to get away from tests & make my assessment match my classroom time.
For more of my posts on Peter’s Thinking Classrooms work, click here.
Update: I wrote an article for Edutopia about the first 3 elements of the Thinking Classroom – good tasks, VRGs & VNPSs – that you can read here https://www.edutopia.org/blog/student-centered-math-class-laura-wheeler
– Laura Wheeler (Teacher @ Ridgemont High School, OCDSB; Ottawa, ON)