When students find the nth roots of a complex number, they use de Moivre's Theorem and a fair bit of calculation and trigonometry. In this blog post, I'm going to approach the topic from a more visual perspective and make use of the following geometric way to think about complex number multiplication: To multiply two complex …

Continue Reading ›› Can mathematical curves be beautiful? Most certainly! Precalculus students glimpse the connection between mathematics and art when they graph roses, cardioids, limaçons, and lemniscates. But these curves give just a taste of the beauty that can be achieved when graphing equations.

In a recent article from the online science magazine Quanta, Pradeep Mutalik reviews a gorgeous new math book,

Creating … Continue Reading ›› 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 …

Continue Reading ›› In my Advanced Methods class at Penn’s Graduate School of Education, my students are working in groups to create shared lesson plans using an inquiry approach. For a number of reasons it can be challenging for these pre-service teachers to identify appropriate topics for student inquiry, but sometimes the brainstorming they do turns into something …

Continue Reading ››## The Web Sketchpad and Math Education Blog