Mathematics En Masse
So far I've covered a technological and an ideological problem. This one's logistical.
Specifically, in a discipline where one question can have many answers, it's easy to set up a traditional forum discussion where every student's contribution is meaningful and a springboard for further interaction. One student's opinion does not make moot the opinion of anyone else.
With mathematics, even if the question is applied and relevant, quite often there is only one correct answer. So the traditional forum method can fail, since once one student posts the answer, there is no incentive for further discussion.
This can be solved by splitting -- having only individual answers or collaboration in small groups -- but this removes the very thing that makes social technology exciting: collective intelligence on a scale above what is possible with in-person interaction. Imagine, for instance, having a problem not just group-solved by your individual algebra class, but by every algebra class in a school.
There's ways around this, like:
1. Personalized data: Students might figure out the square area of a room in their house. So every student does their calculation on something different, and then statistical methods can be applied to the data as a whole.
2. Required estimates. In a mathematics modeling problem, students try to match real-world data with an equation. While there are "best-fit" equations this can be done by hand, so that there isn't one correct answer.
Unfortunately, neither method fully taps into the power of the group dynamic. The individual contributions don't rebound and augment each other like an open-ended discussion. So I'll ask: what are the best ways to set up a collaborative online assignment in mathematics?
The best solution I can think of is to get students to explain process. The class could essentially write its own textbook with a wiki; the assignment one week might be to finish the online explanation of graphing parabolas, and every student has to pitch in. I have yet to try something like this, so if anyone has, drop a line in the comments.
Jason Dyer, Guest Blogger
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Cosmologists propose a groundbreaking model of the universe using string theory.
- A new paper uses string theory to propose a new model of the universe.
- The researchers think our universe may be riding a bubble expanded by dark energy.
- All matter in the universe may exist in strings that reach into another dimension.
According to TwoFold CEO Alison McMahon, a leader who doesn't care (or can't pretend to care) about his or her employees isn't much of a leader at all.
Why do people quit their jobs? Surely, there are a ton of factors: money, hours, location, lack of interest, etc. For Alison McMahon, an HR specialist and the CEO of TwoFold, the biggest reason employees jump ship is that they're tired of working for lousy bosses.
By and large, she says, people are willing to put up with certain negatives as long as they enjoy who they're working for. When that's just not the case, there's no reason to stick around:
Nine times out of ten, when an employee says they're leaving for more money, it's simply not true. It's just too uncomfortable to tell the truth.
Whether that's true is certainly debatable, though it's not a stretch to say that an inconsiderate and/or incompetent boss isn't much of a leader. If you run an organization or company, your values and actions need to guide and inspire your team. When you fail to do that, you set the table for poor productivity and turnover.
McMahon offers a few suggestions for those who want to hone their leadership abilities, though it seems that these things are more innate qualities than acquired skills. For example, actually caring about your workers or not depending wholly on HR thinking they can do your job for you.
It's the nature of promotions that, inevitably, a good employee without leadership skills will get thrust into a supervisory position. McMahon says this is a chronic problem that many organizations need to avoid, or at least make the time to properly evaluate and assist with the transition.
But since they often don't, they end up with uninspired workers. And uninspired workers who don't have a reason to stay won't stick around for long.
Read more at LinkedIn.
Even some teachers suffer from anxiety about math.
I teach people how to teach math, and I've been working in this field for 30 years. Across those decades, I've met many people who suffer from varying degrees of math trauma – a form of debilitating mental shutdown when it comes to doing mathematics.
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