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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
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
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
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
Posted in Math Software
Tagged Constructions, Dynamic Geometry, Modeling, Problem Solving, Sketchpad
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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
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
Revisiting a Childhood Addition Code with Sketchpad
As a fourthgrader in 1977, I had a lovehate relationship with my AddisonWesley 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
Posted in Math Software
Tagged Dynamic Number, Math Games, Problem Solving, Sketchpad
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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
Posted in Math Software
Tagged Constructions, Dynamic Data, Dynamic Geometry, Modeling, Problem Solving, Sketchpad, Videos
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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 lessonstudy techniques—on a small scale—to create, test, … Continue reading
Posted in RealWorld Math
Tagged Algebra and Functions, Modeling, Pedagogy, Problem Solving, Sketchpad, Teacher Collaboration
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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