Author Archives: Daniel Scher

avatar

About Daniel Scher

Daniel Scher, Ph.D., is a senior scientist at KCP Technologies, where he co-directs the NSF-funded Dynamic Number project. He has developed Sketchpad activities across the entire mathematics curriculum, from elementary school through college. He received his Ph.D. in Mathematics Education at New York University.

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 , , , , , , | 4 Comments

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

Posted in Real-World Math | Tagged , , , , | Leave a comment

Creating Origami Whirlpool Designs with Sketchpad

http://www.youtube.com/watch?v=9mmlKbGNXhM&w=480&h=360]

Tomoko Fuse is a Japanese origami artist whose designs are highly geometric. A Google search for her origami models reveals a plethora of boxes and intricate three-dimensional structures, many of which are folded from multiple sheets of paper and then … Continue reading

Posted in Real-World Math | Tagged , , , , , | Leave a comment

Breathing New Life Into Sets

http://www.youtube.com/watch?v=f3wxr6oDz_I&w=420&h=315]

Ms. Walter, my junior high math teacher, sure knew how to get my attention on the first day of class. She told us we would be studying all about sex. Well no, let me restate:  She said we’d learn about … Continue reading

Posted in Math Software | Tagged , , , , | 2 Comments

Sketchpad Reflection Puzzles

In a recent blog post, Karen Greenhaus describes how it’s possible to construct familiar corporate logos using Sketchpad. You might start with a rhombus, for example, and then reflect it twice to obtain the Mitsubishi logo. Karen’s post got me … Continue reading

Posted in Math Software | Tagged , , | Leave a comment

Exploring Conic Sections with Sketchpad

http://www.youtube.com/watch?v=L9csTtUmKek&w=480&h=360]

As a student, I didn’t place conic sections on my list of favorite high school topics. The standard textbook treatment of the ellipse, parabola, and hyperbola seemed uninspired. There were messy algebraic equations with multiple square roots. There was lots of … Continue reading

Posted in Math Software | Tagged , , , | Leave a comment

Exploring Factor Patterns in an Interactive Array

OK, I admit it: I have factors on the brain. First, I wrote about When Factoring Gets Personal. I followed that with a post describing what happens When Factors Put on Their Dancing Shoes. So what’s next—When Factors Apply for a Home Equity … Continue reading

Posted in Math Software | Tagged , , | 2 Comments

The Dynamic Number Project Comes to NCTM Philadelphia

It’s time for the NCTM Annual Meeting! For the past two and a half years, my colleague Scott Steketee and I have been collaborating with elementary teachers in New York and Philadelphia as they field test curriculum materials for the … Continue reading

Posted in Conferences | Tagged , , , , , | Leave a comment

When Factors Put on Their Dancing Shoes

What’s the narrative? That question, so fundamental to any novel, may not sound as relevant when applied to mathematics. Take, for example, the topic of factors: 1, 2, 4, and 8 are factors of eight; 3, 5, and 7 are … Continue reading

Posted in Math Software | Tagged , , , | 1 Comment

When Factoring Gets Personal

As an author of Sketchpad activities, I like to think that I can pose good problems for students to solve. But as I visit elementary classrooms and watch students use Sketchpad, I realize that a large part of the enjoyment … Continue reading

Posted in Math Software | Tagged , , , | 3 Comments