Tag Archives: Common Core State Standards

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 … 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 ››

Learn to Multiply Like No Bunny’s Business

It started with an unassuming bunny that hopped along a number line. Jump AlongIn 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 ››

Picturing Functions and Functions of Pictures

I’m excited to be making my first presentation of the 2013-14 school year next week in Baltimore. Daniel Scher and I are presenting Picturing Functions and Functions of Pictures. We'll be discussing the connections between pictures and functions. These connections are even richer than I realized when I first began to work with pictures in Sketchpad. In the … Continue Reading ››

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?

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Harry congratulates a rower after sweeping Yale for his last time.
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 ››

Introducing the Dynamic Number Project

Four years ago, my colleague Scott Steketee and I began brainstorming new Sketchpad activities for a National Science Foundation grant called Dynamic Number. Our goal was to use Sketchpad to make ideas from number, operation, early algebra, and algebra come alive through interactive models that emphasized conceptual understanding. Dynamic NumberContinue Reading ››

Starting with Sketchpad Activities on Day One in High School

In my previous two posts, I listed some of the new Dynamic Number project activities (for grades 2-5 and grades 5-8) that engage students in manipulating and investigating dynamic mathematical objects from day … Continue Reading ››

Starting with Sketchpad Activities on Day One in Grades 5-8

In the Dynamic Number project, one of our goals has been to create activities in which students actually experience mathematical objects by creating them, manipulating them, and investigating them. (George Lakoff and Rafael Núñez describe, in Where Mathematics Comes From, how students' abstract mathematical concepts are grounded in … Continue Reading ››

Starting with Sketchpad Activities on Day One in Grades 2-5

As an 18-year veteran teacher in Philadelphia public schools, my initial reaction when I first saw Sketchpad was “This would have completely changed the way I taught geometry.” I phrase it differently today: “This would have completely changed the way students experience mathematics.” a perspective that differs in two important details. First, I now understand that the … Continue Reading ››