Tag Archives: Dynamic Number

ICME: The Nature of Students’ Mathematical Thinking

Like other enthusiasts of mathematics, I’m captivated by the way that mathematical ideas can explain things in the physical world around me, and by the way that I can carry out mathematical thought experiments in my mind and then apply … Continue reading

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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

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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

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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

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Parents, Children, and Functions in Sketchpad

http://www.youtube.com/watch?v=s4zYMJYzZi8?feature=player_embedded]

Functions are hard for students. Students seem to master various families of functions – linear, polynomial, exponential, trigonometric, and so forth. They can graph them, evaluate them, transform them, and answer a variety of questions about them. But ask even … Continue reading

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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

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The key to everything around you is right in your pocket

“You won’t be carrying a calculator with you everywhere you go.” A friend of mine recalled his math teacher telling him that. I’m sure we’ve all heard this or even have said it before ourselves. However, this particular retelling came … Continue reading

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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

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Oh, the Fractions You’ll See!

A quick quiz: How many fractions are there? This may sound like an absurd question, but in the context of elementary mathematics curricula, it makes a lot of sense. Think about it: Children encounter fractions like 1/2, 3/4, and 2/6 … Continue reading

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Standards that tell you how to understand?

Several weeks ago, I spent a lot of time reviewing the grades 3–6 Common Core State Standards (CCSS) and identifying Sketchpad activities that addressed these standards. Through this immersion, I noted some themes that were quite different in the CCSS … Continue reading

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