Thursday, January 29, 2015

The story most people miss

In a conversation with a friend recently, I got into the topic of math. Yes, it's not much of a surprise. I'm passionate about it.

What struck me was something she said about the graduate-level statistics she had taken. All she could recall about it was that it was stressful, and she had gotten through it by memorizing until she had finished the exam, then dumped everything from her brain.
Image: Cemagraphics

This is not unusual, and I think it's the biggest failing of our math education model. Our kids (and most of us as adults) never get to see the story that numbers can tell us. To me, the beauty of mathematics is in the picture it can reveal. To see it, you don't need to memorize a bunch of formulae. Just look them up when you need to; that's what I do.

To see the story behind the numbers, you need to understand the concepts they're describing. 

Standard deviation and confidence intervals aren't a bunch of meaningless calculations to be performed. They tell you about the phenomena they describe. They reveal patterns. They show what your gut is telling you (or if it's lying to you). Calculation without understanding is like putting letters in order without knowing what the words mean. Where's the value?

So why do we force ourselves to memorize math formulae? Are we more interested in developing the ability to calculate, or the ability to think? Is the proper assembly of letters the same as the ability to compose a story? Do we ask our musicians to be able to hit the high notes every time, or is it better to listen to a performance that evokes am emotion?

Don't get me wrong: calculation is critical to good math. But it isn't the whole of educating good mathematical thinkers. We need to develop the ability to interpret, understand, infer, and evaluate. How else will we grow as a society of critical thinkers who can understand our increasingly data-rich existence? I'm much more interested in getting a student to tell me what the numbers mean, rather than have them recite a formula. If you can just look it up online, is it really that crucial to memorize?
Critical thinking isn't something you can find with an internet search.

It's reminds me of the typing classes I had when I was in grade school. Were they teaching computing, or were they teaching how to operate buttons efficiently? I don't want to fill my classroom with button-pushers, or calculating machines, or any other type of operator.

I want button pushers and calculators who are thinking about the buttons they're pushing, the calculations they're performing, and what they actually mean.

Wednesday, January 7, 2015

Word of the Year

Many people use the start of a new year (whether it's the calendar year or the school year) to make a resolution. Something they want to focus on, improve, or change for the better. I think it's a great idea, but I've never liked that the scope had to be so limited.

Some of my friends from the Google Teacher Academy have proposed a one-word motivation for the year. I love this idea. It's broad enough that it can be applied over a long period of time, so it can remain central to me for an entire year.

+Christopher McGee gave a great talk about saying yes to opportunities that come your way. I've tried to do this over the course of my career, and it's been a great way to get accustomed to taking risks and seizing opportunity. I feel like I've got a handle on saying yes. It's now a gut reaction, when someone offers a chance for something new and interesting, I'll say yes. So while I love this idea, my focus this year won't be on saying yes. Not because I don't think it's valuable (quite the contrary, in fact). Mainly because I feel like I can do this already. It's not going to demand growth and risk on my part.

So I've decided on one word for this year. It will be the central principle behind what I do in work, what I do in my free time, and what I want to accomplish. An active word that I can think of as I attempt whatever I put my mind to.


I want to empower myself to make real change in the world. I want to empower my friends to do great things. I want to empower my colleagues to succeed.

I pledge to empower teachers to use technology effectively. I want to provide them with the knowledge and the mindset to do new things. I want them to feel empowered to make mistakes. I want them to feel that they can grow and share.