Category Archives: Educational Technology

pi-glyph

Pi Day 2015: Pieces of Pi

For this year’s Pi Day post, I thought I’d continue our Web Sketchpad (WSP) construction theme. But rather than adapting the visualizations from last year’s Pi Day post to the new construction capabilities, I decided to take a different approach. Some time ago, I built a set of custom tools for … 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 ››

More Adventures with Web Sketchpad Tools

In my prior post, I introduced some basic Web Sketchpad geometry tools for constructing points, circles, segments, lines, and rays. These tools are great for getting started, but what happens when your needs grow more demanding? Suppose, for example, that you decide to build a tessellation pattern composed of equilateral triangles. Do you really want … Continue Reading ››

Here Comes Construction!

For over a year, my colleague Scott and I have enjoyed giving you peeks into the impressive development work being done by the Web Sketchpad team at KCP Technologies and McGraw Hill.  Every time I take a desktop Sketchpad model and convert it to Web Sketchpad with a press of a button, I'm impressed by how … Continue Reading ››

Moving Beyond Formulas When Investigating Triangle Area

For the past year, my blogging partner Scott and I have worked with the team of Everyday Mathematics to build interactive Web Sketchpad models for their forthcoming new edition. It's been fun for both of us to find ways to insert dynamic mathematics into their K–6 curriculum. Last year, I shared anContinue Reading ››

Innovative Approaches to Computer-Based Assessment, Part Four

For the past month, I've focused this blog on the role that computers can play in assessing students' mathematical knowledge. I've presented three Web Sketchpad-based examples of assessment with mathematical topics ranging from isosceles triangles, to the Pythagorean Theorem, to the slopes of perpendicular … Continue Reading ››

Innovative Approaches to Computer-Based Assessment, Part Three

Today there is no lack of outrage directed at the high-stakes standardized testing that has become so prevalent in the U.S. educational system. A recent opinion piece in The New York Times examines the backlash against the Common Core and lays the blame not on the standards themselves, but rather on the … Continue Reading ››

Innovative Approaches to Computer-Based Assessment, Part Two

In my previous post, I shared Dan Meyer's analysis of what's wrong with computer-based mathematics assessments. Dan focuses his critique on the Khan Academy's eighth-grade online mathematics course, identifying 74% of its assessment questions as focusing on numerical answers or multiple-choice items. This is a far cry from … Continue Reading ››

Can Computer-Based Assessment Model Worthwhile Mathematics?

Several weeks ago, Dan Meyer described his experience of completing 88 practice sets in Khan Academy's eighth-grade online mathematics course. His goal was to document the types of evidence the Khan Academy asked students to produce of their mathematical understanding. Dan's findings were disappointing: He concludes that 74% of the Khan Academy's eighth-grade questions were either multiple choice or required nothing more than … Continue Reading ››