Tag Archives: Modeling

The Dog Leash Investigation

Today's guest post is from Marta Venturini, a PhD student in Mathematics Education at Simon Fraser University under a "Cotutelle Agreement" with the University of Bologna, where she's a PhD student in Mathematics. While looking for some tasks that would be suitable for Sketchpad,  I found the “dog leash” problem in a March 2007 Continue Reading ››

The Wavy Wavy Bridge

At the 2013 Baltimore Regional NCTM Meeting, I gave a presentation on Picturing Functions and Functions of Pictures. In the description of my presentation I’d promised to show how to use Sketchpad to create special effects, so when it came time to prepare, I figured I needed to deliver on my promise. So I wrote a … Continue Reading ››

What Does Rowing Have to Do with Teaching Mathematics?

Harry congratulates a rower after sweeping Yale for his last time.
Harry Parker died this summer, two weeks after coaching the Harvard rowing team to yet another sweep of all four races (varsity, JV, freshmen, and spares) against Yale and two days after accompanying his 1980 … Continue Reading ››

Taking Ownership of Mathematical Ideas

Of the many reasons that I chose to major in mathematics, perhaps the most compelling to me was this: Mathematics is beautiful. Yes, mathematics could be practical, but it was the sheer beauty of its proofs that left me awestruck. How could I not be impressed, for example, by the elegance and ingenuity of the proof … Continue Reading ››

Exponential Harmony with Sketchpad

Last week was the fourth session of my spring Advanced Secondary Math Methods class at the University of Pennsylvania. Each year I assign a semester project in which groups of three students use lesson-study techniques—on a small scale—to create, test, refine, teach, evaluate, and document specific shared instructional products, composed of a (possibly multi-day) lesson … Continue Reading ››

Teachers—Walk a Mile in their Classroom

I was lucky enough this past week to visit some classrooms and see teachers using Sketchpad in various ways. It's been seven years since I was in the classroom myself, so for me it was like coming home. It brought back a lot of great memories, though also some reminders … Continue Reading ››

Sketchpad––Yes, It Can!

Daniel, Josephine, Karen, and Scott at Chicago NCTM
Last week I ended my fall math conference touring schedule.  It's been a fun-filled road trip—in the span of two months I've been to all three NCTM regionals in Dallas, TX, Hartford, CT, and Chicago, … Continue Reading ››