*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 an

*… Continue Reading ››*

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 an* … Continue Reading ›› *

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 ››

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 ››

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 ››

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 ››

This week, I'm going to describe one of my favorite activities for introducing young learners to multiplication and factors. It comes from Nathalie Sinclair, a professor of mathematics education at Simon Fraser University.
In the interactive Web Sketchpad model below, press *Jump Along* to watch the bunny take 2 jumps of 4 … Continue Reading ››

It's the season for NCTM regional conferences, and I'm presenting sessions on conic section construction techniques in both Richmond and Houston this month. For those of you who can't attend, here's a peek at what I'm demonstrating.
The 17th-century Dutch mathematician Frans van Schooten developed "hands-on manipulatives" centuries before the term became popular in math education circles. Below … Continue Reading ››

On November 6 I had the honor of being one of the panelists in a Symposium Honoring Zalman Usiskin, held to honor Zal’s many years of contributions to mathematics education, from his groundbreaking 1971 textbook *Geometry: A Transformation Approach (GATA)* to his continuing activities today.
My panel was supposed to discuss his work on … Continue Reading ››

As readers of this blog can probably tell, I like puzzles. I especially enjoy taking ordinary mathematical topics that might not seem puzzle worthy and finding ways to inject some challenge, excitement, and mystery into them.
This week, I set my sights on isosceles triangles. It's common to encounter isosceles triangles as supporting players in geometric proofs, but … Continue Reading ››