How do you round numbers? The answer matters
I learned something surprising this weekend. A rule I was taught back in elementary school turned out not always to be true. In the process, I discovered something worrisome about myself and how we prepare our children to be innovators.
Before I go further, let me ask you a question: how would you round the number 16.5 to the nearest integer?
If you are like many people, you would say 17; you always round up from 0.5. You probably never gave it much thought before. But a handful of people (myself included) were taught to round to the nearest even number, meaning round down to 16. Either way, we learned one way and believe it to be true.
It turns out we are both right; they are just different ways to deal with the uncertainty of being exactly between 16 and 17. In fact, there are at least eight different ways to handle the tie-breaker.
It might not seem so important, this little fact about rounding numbers. But I would argue that the way we teach this seemingly minor skill is a window into a problem with our education system that drives the creativity and imagination right out of our students.
“We need [the next generation] to be able to discover a better way to do something, to try new things,” says Maria Scileppi of 72andSunny, a creative agency based in Los Angeles. How can we expect students to learn to try new things, if they are taught there is only one way to do things?
I sat down with Scileppi to get her perspectives about this because she is heading up 72U, an ambitious and experimental program within her agency that is aimed at developing the next generation of innovators in the creative industries.
Every day she thinks deeply about how to teach creativity. “There is safety in doing what your neighbors are doing, but that’s not how you discover an innovative approach or break new ground.”
I am on the steering committee of a National Academies initiative called “Educate to Innovate,” and it so happens this week we are hosting a workshop in Washington, D.C to culminate our first phase of a study about how to nurture the next generation of innovators. After months of in-depth interviews with some of America’s most successful innovators, we are gathering with experts in K-12 education, academia, and industry to discuss the skills, experiences, and environments that are critical to innovation success.
Although our study is still in progress (I plan to write more about our results in future columns), we’ve identified a list of key skills and attributes that we must learn to instill in our young people.
Three key attributes on the list strike me in particular: intense curiosity, the ability to handle uncertainty, and the ability to listen and appreciate multiple viewpoints. And the way we’re teaching rounding—or other lessons, for that matter—definitely doesn’t nurture these innovation skills.
What’s the best way to instill these attributes? “I love telling our participants there are no rules, only guidelines,” explains Scileppi. “Also, diversity is huge… I try to bring in diverse thinkers to open them up, expose them to as much variety of viewpoints as possible.”
“I’m very comfortable admitting what I don’t know and having them explain something to me. I encourage them to teach me.”
This last point especially resonates with me; in a column I wrote last spring about Dr. Sugata Mitra and the TED Prize, I argued that admitting you don’t know is the first step to teaching students how to learn. And in this age of rapidly evolving information and knowledge, it’s especially critical for us to know how to learn, not just to regurgitate one answer.
The good news is that our children might be learning these skills on their own, despite old-fashioned teaching methods still in practice today. “We’re better at [innovation now] because we’re so connected; we have so many streams of information,” Scileppi points out. “When the people around you used to have such an authority, you had less information. But now that we have access, we’re more open to different ways of doing things.”
Back to the rounding exercise. After a quick survey of dozens of friends and colleagues through email and social media, I discovered that they all learned differently. Most learned to always round up from 0.5, even though it adds a slight upward bias to the numbers.
But tellingly, not one of them had learned as a kid that there were different ways to do it. Almost all were genuinely surprised that other approaches even existed. Some wouldn’t even accept there were other ways, because the “always round up” rule had been drilled into their heads.
How would you round 16.5? And would you be open to another way?
Despite the resistance of some, that didn’t prevent a few of the more imaginative ones from coming up with their own rules.
“It depends what it’s for,” someone offered. “We all round down on our age; up for tax deductions.” Now that’s what I call creative thinking.
This article originally appeared in Forbes.com.
Author: Krisztina “Z” Holly is an entrepreneur, engineer and a contributor to Forbes. She is also the chair of the Forum’s Global Agenda Council for Fostering Entrepreneurship. Follow her on Twitter @krisztinaholly.
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