Mathematical Tools
It's so interesting to me when micro-themes start to emerge from my Twitter feed. Most recently, I've noticed many of my tweeps grappling with the use of mathematical tools, both the ones we would consider more traditional like hands-on manipulatives, and the high tech devices, apps, and programs that are more recently showing up in math classrooms. This morning, Malke Rosenfeld posted this question: This seems like a simple question, but it's an incredibly important one to consider. I think about the word "tool" and how it's really the name of a category of objects we use in certain ways to achieve certain outcomes and not a precise description of any one object. When it comes to math, what makes an object (or representation, or strategy) fit into the category of "math tool"? My simplest answer is that if we are able to use something to support our mathematical thinking in a way that wasn't possible without it or in a way that makes a strate...