Category Archives: Real-World Math

Binomial Multiplication and Concreteness Fading

I was delighted that Daniel recently posted our Binomial Multiplication sketches in Web Sketchpad format. I thought about those sketches when I noticed a fairly new myNCTM thread on "When and How do we phase out the body in math education?" This thread raises a very important question for us as … Continue Reading ››

WCYDWT: A Ball, a Trash Can, and Web Sketchpad

Dan Meyer has posted a number of "What Can You Do With This?" activities on his blog. (Activities is probably too prescriptive a word; they're more in the nature of prompts for student thinking, noticing, and wondering.) One of the first was the image below, which he made by superimposing frames from a … 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 ››

Monopoly Math

Scan the headlines and you’ll see a stream of stories about educational technology: 1 to 1 iPads, teacher blogs, the flipped classroom… the electronic beat goes on. I’m not pining for the silky feel of chalk on my fingertips, but there’s something to be said for old school games and their ability to illustrate mathematical … Continue Reading ››

Data Visualization in the Age of HTML5

My partner and I spend a fair amount of time talking about data visualization. He's a computer programmer who works on websites that gather and display large amounts of data related to energy production and consumption. This data can be used to answer questions like: "How effective is the California Solar Initiative?" and "Where in … Continue Reading ››