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Archive for December 2010

Putting the “Fun” back in Exponential Functions

by Max
December 22nd, 2010

The teachers I coach are beginning their investigation of exponential functions. They are using Core Plus Math, and are working really hard to do increasingly problem-based, student-centered teaching. I’m helping the teachers with pacing, lesson-planning, and formative assessment, as well as coaching them on facilitating student-teacher and student-student interactions.

So… my project over the break is to put the “fun” back in exponential function (and maybe put a little “expo” back in there too). “Why do we have to learn this? What matters? What does this have to do with what we already know?” are valid questions I hope students ask and I can help them answer. (By the way, I just learned that exponential functions can help us predict when everyone on earth will be following Lady Gaga on Twitter (October 2025), but I don’t think we even need such fascinating applications to help make sense of exponential functions. Source: http://www.youtube.com/watch?v=51AhdTj-irQ&feature=youtu.be)

What’s the big idea behind exponential functions? And what experiences help kids ask the big idea questions themselves?

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Threshold Math Concepts

by Max
December 3rd, 2010

This morning’s water-cooler topic here at the Math Forum: threshold concepts. I’m not sure if it’s a phrase we just coined or not, it’s definitely not original, I think Erik Meyer and Ray Land coined the term, but it led to really interesting conversations and storytelling, more of which I hope will continue in the comments.

Our working definition of a threshold concept: something that changes the way you understand mathematics, which after you understand it, you can’t go back to previous ways of thinking, and you find yourself interpreting and understanding math through the lens of that concept.

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