# All posts by Scott Steketee

Scott Steketee taught secondary math and computer science in Philadelphia for 18 years and received the district's Teacher of Excellence award. Since 1992, he has worked on Sketchpad and Web Sketchpad software, curriculum, and professional development. He taught Secondary Math Methods in the graduate teacher education program at the University of Pennsylvania. He is a Senior Scientist at 21PSTEM and a co-principal investigator on the NSF-funded Forging Connections project.

# Collaborating on an Extension to a Little-Known Theorem

[Today's post is from Steven Fuchs, with whom I recently corresponded and whose enthusiasm was sufficiently infectious that I pressed him to share it here. --Scott]

One day late last spring, while teaching at St. Thomas High School in Houston, I noticed in a book a figure demonstrating Monge’s Theorem. (Don't look this up … Continue Reading ››

# What Does Rowing Have to Do with Teaching Mathematics?

Harry Parker died this summer, two weeks after coaching the Harvard rowing team to yet another sweep of all four races (varsity, JV, freshmen, and spares) against Yale and two days after accompanying his 1980 Olympic … Continue Reading ››

# Polar Graphing

Using Sketchpad, it is very easy to start from scratch and create a polar graph. Here are the steps to create the graph shown on the right below.
1. Choose Graph | Plot New Function.
2. Use the Equation menu to choose r = f(θ).
3. Type "c" (for "cos"), "2", and "th" (for "theta").
4. Click OK.

# Cartesian and Polar Graphs

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Last week was the fourth session of my spring Advanced Secondary Math Methods class at the University of Pennsylvania. Each year I assign a semester project in which groups of three students use lesson-study techniques—on a small scale—to create, test, refine, teach, evaluate, and document specific shared instructional products, composed of a (possibly multi-day) lesson … Continue Reading ››

# ICME: The Nature of Students’ Mathematical Thinking

Like other enthusiasts of mathematics, I’m captivated by the way that mathematical ideas can explain things in the physical world around me, and by the way that I can carry out mathematical thought experiments in my mind and then apply the results to control my external physical environment.

# ICME: A Sensory-Motor Experience of Korea

I had the immense good fortune this year to attend ICME, the International Congress on Mathematical Education. The Congress is held every year divisible by 4, and this iteration (the twelfth) was held in Seoul, Korea. It is quite something to be at a meeting of nearly 4000 … Continue Reading ››

# 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 of the … Continue Reading ››

# 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 taken … Continue Reading ››