Tagged: Geometry

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 the constructing, analyzing, and arguing tasks advocated by the Smarter...

Arthur Ganson and the Excitement of Construction

I first encountered the kinetic sculptures of Arthur Ganson nearly 20 years ago at the MIT Museum. Ganson is an engineer, artist, and inventor whose machines, when set in motion, display a grace you would not expect from metal, gears, and other industrial objects. Below is a video of one of my favorite Ganson sculptures called...

Creating Origami Whirlpool Designs with Sketchpad

Tomoko Fuse is a Japanese origami artist whose designs are highly geometric. A Google search for her origami models reveals a plethora of boxes and intricate three-dimensional structures, many of which are folded from multiple sheets of paper and then assembled together. As an avid origami folder, I’ve always admired Fuse’s work. But nothing prepared...

Sketchpad Reflection Puzzles

In a recent blog post, Karen Greenhaus describes how it’s possible to construct familiar corporate logos using Sketchpad. You might start with a rhombus, for example, and then reflect it twice to obtain the Mitsubishi logo. Karen’s post got me thinking about other creative uses of transformations with Sketchpad. In particular, Sketchpad 5 allows you to...

The Mathematics of Logos

As you may know, we created a new logo for Key using a circle and rotational animation to create a visual representation of pi. Karen Coe describes this in her post Branding Isn’t About Math. Are You Sure About That? (You can also build this logo yourself, and explore its connections to pi, using this Web...