Solving Simultaneous Equations with Common Sense

Simultaneous equations belong in elementary-school mathematics curricula. That's been my mantra for many years, and I want to examine it now in the context of an interactive Web Sketchpad activity. When I say that elementary-age students should encounter simultaneous equations, I don't mean that they should be instructed in the standard algebraic procedure for solving pairs of equations … Continue Reading ››
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Constructing Morley Triangles

By Adrienne Barrett This post is by guest blogger Adrienne Barrett, who's a senior mathematics and education dual major at Rowan University. She is currently student teaching and upon graduation in May, she hopes to find a full-time position teaching high-school mathematics. She's always loved math, and studying it in college has given her … Continue Reading ››
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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 ››

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