Guest blogger Juan Camilo Acevedo is part of the University of Chicago's Center for Elementary Mathematics and Science Education (CEMSE) digital team, where he develops Sketchpad-based activities for Everyday Mathematics. Currently, he teaches undergraduate language classes at the University of Chicago and is writing his doctoral dissertation on Digital Humanities. Juan holds a BA in … Continue Reading ››

# Tag Archives: Problem Solving

# Simultaneous Equations in Elementary School? You Bet!

Algebra classes devote considerable time to equations in a single variable before solving multiple equations in two or more unknowns. But just because elementary-age students are not familiar with algebraic symbolism doesn't mean they can't solve simultaneous equations, too!
The mathematician and educator W. W. Sawyer makes a compelling argument for the … Continue Reading ››

# Arranging Addends Puzzles

Below is an interactive puzzle called Arranging Addends. The goal of the puzzle is to arrange the circles and the six numbers (1, 2, 4, 8, 16, and 32) so that three conditions are met simultaneously: The sum of the numbers in the green circle is 21, the sum of the numbers in the blue circle … Continue Reading ››

# Wait for a Date

Last year, I wrote a blog post about the following probability question:

*Two friends arrange for a lunch date between 12:00 and 1:00. A week later, however, neither of them remembers the exact meeting time. As a result, each person arrives at a random time between 12:00 and 1:00 … Continue Reading ››*

# What Is All the Fuss About Lines?

Yesterday, I led a webinar that demonstrated how Sketchpad can be a powerful tool for exploring Common Core algebra topics. My examples included solving for unknowns with a pan balance, exploring the slopes of lines, maximizing the area of a fixed-perimeter rectangle, and graphing trigonometric functions. I touched only briefly on each … Continue Reading ››

# Discovery by Dragging

A few days ago I led a webinar on the Common Core and Sketchpad for Sketchpad beginners, and I showed four Sketchpad activities aligned with both the Content Standards and the Standards for Mathematical Practice. I mixed it up a bit by showing two … Continue Reading ››

# The Dog Leash Investigation

*Today's guest post is from Marta Venturini, a PhD student in Mathematics Education at Simon Fraser University under a "Cotutelle Agreement" with the University of Bologna, where she's a PhD student in Mathematics.*While looking for some tasks that would be suitable for Sketchpad, I found the “dog leash” problem in a March 2007 Dynamic GeometryModelingProblem SolvingSketchpadSketchpad ExplorerUse Appropriate Tools Strategically

# Learn to Multiply Like No Bunny’s Business

It started with an unassuming bunny that hopped along a number line.
In 2011, our team at KCP Technologies released Sketchpad Explorer for the iPad, making it possible for teachers and students to interact with desktop Sketchpad models on their iPads.
We were thrilled … Continue Reading ››

# Leveraging Sketchpad to Gain Insight Into an Algebra Problem

Several weeks ago, my friend Sandra came to me with a problem posed by one of her algebra students:

*Find all points that are twice as far from a given point A as they are from a given point B.*Sandra and I chose particular locations for points*A*and*B,*and got to work solving the … 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 … Continue Reading ››