Tag Archives: Problem Solving

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 … Continue reading

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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 … Continue reading

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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 … Continue reading

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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. … Continue reading

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What Does Rowing Have to Do with Teaching Mathematics?

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 … Continue reading

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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 … Continue reading

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Revisiting a Childhood Addition Code with Sketchpad

As a fourth-grader in 1977, I had a love-hate relationship with my Addison-Wesley textbook. Its contents overflowed with arithmetic problems, but every so often an entertaining brainteaser appeared to break the monotony of drill practice. These puzzles were clearly marked: … Continue reading

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Taking Ownership of Mathematical Ideas

http://www.youtube.com/watch?v=us2RPA1QehQ&w=420&h=315]

Of the many reasons that I chose to major in mathematics, perhaps the most compelling to me was this: Mathematics is beautiful. Yes, mathematics could be practical, but it was the sheer beauty of its proofs that left me awestruck. … Continue reading

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Exponential Harmony with Sketchpad

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, … Continue reading

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Beat a Path to the Museum of Math

http://www.youtube.com/watch?v=jK7xPo1YXzY”>video

As a New Yorker, I have no lack of museums to suit my every viewing whim. Matisse? Just head to the Metropolitan. Edvard Munch? The Scream is at the Museum of Modern Art. But where should I go when I’m … Continue reading

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