Sine of the Times Blog

Exploring the Law of Large Numbers with TinkerPlots

As part of our guest blog series, we bring you a post from Kathryn Shafer. A former middle school and high school math teacher, Kathy is now an Assistant Professor in the Department of Mathematical Sciences at Ball State University, Indiana. She’s done a variety of work for Key, including presenting webinars, moderating online courses, and...

What’s the Appropriate Role for the Teacher when using Computer Games?

I had the privilege this year of participating in the CADRE Fellows Program of NSF’s Community for Advancing Discovery Research in Education, and met a number of colleagues in the program whose projects, like our Data Games project, are exploring the classroom benefits of computer-game- or simulation-based-learning. (In this post, I’ll refer to technology-oriented games and simulations simply...

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...

Sketchpad Activities, Cognitive Demand, and Differentiation

Not long ago, I conducted a Saturday morning PD session for some Texas teachers participating in an NSF research project. (The research is a controlled study of the relationship between students’ use of Sketchpad and their conjecturing and proving behavior. I hope we’ll have a blog post about this study itself before too long.) Because...

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...

Preparing Tomorrow’s Data Scientists Through Data Games

According to a recent Wall Street Journal article, “Big Data’s Problem: Little Talent,” the technology industry faces a major dearth of employees with strong data analysis skills. The article quotes a 2011 study by McKinsey: A significant constraint on realizing value from Big Data will be a shortage of talent, particularly of people with deep...

Exploring Conic Sections with Sketchpad

As a student, I didn’t place conic sections on my list of favorite high school topics. The standard textbook treatment of the ellipse, parabola, and hyperbola seemed uninspired. There were messy algebraic equations with multiple square roots. There was lots of terminology. Drawing a conic meant plotting several points on graph paper and connecting them with...

Branding isn’t about math. Are you sure about that?

At around Pi-hour on Friday afternoon we successfully launched our new website. The night before (the night of the big storm for Bay Area folks), Andres and I were out with a dear former colleague and I mentioned I was going to blog about our new branding, new website, and new name. She said, “You...

Parents, Children, and Functions in Sketchpad

Functions are hard for students. Students seem to master various families of functions – linear, polynomial, exponential, trigonometric, and so forth. They can graph them, evaluate them, transform them, and answer a variety of questions about them. But ask even our better students a question that’s out of the ordinary and we’re likely to be...

“Data Games”—Getting the Math Right in Math Games

As a parent and math educator, I’m always on the lookout for high-quality, fun apps that help my sons and other young people develop their understanding of math. There are a large number of math games for mobile devices and PCs being churned out, and many articles being written in popular ed tech blogs and...