Professional Development Hell

I had to do some PD the other day and was once again stunned at the limited knowledge of so many math teachers. TI-inspire had some terrible little app running that didn't really work properly but was purportedly able to help students correct their misunderstanding of some simple math ideas. One of these: what happens to area when you double the radius? Take a 7 inch circle and drag the radius out to 14 inches and see what happens to the area.

"I don't get it. What's that mean -- area = 1.66E+2 inch² - what's the E thing?"

I guess we know why so many students have misunderstandings about math.

Practicing my speech.

"When are We EVER going to have to use this?"

"Beats me," I usually answer. "You can't even tell me definitively what you'll be doing next month, forget about four years from now. How can I definitively say when or whether you'll use THIS? All I can say is that it is useful in certain situations (the word problems in this section are limited versions of the same problems some people face daily), useful as mathematical development for later work (which may be a prerequisite for the course or job you really wanted) or is mental development to expand your brain beyond the limited understanding and very limited world-view you currently have. I'm not being critical here - you really have no experience at life. How could you possibly know the utility of everything you're learning?"

"You have millions of possibilities ahead of you, thousands of doors along this hallway you call life. Writing ability will unlock many of them, artistic ability others, mathematical ability many more. Some may require that you speak English well - certainly 95% of the jobs in this country do. Some will require a little of everything. Each of these doors is along a different stretch of hallway, sort of like that fractal tree over to the right. Each educational decision you make takes you down one branch or another, closing off some possibilities and making others available. To switch from one branch of the tree to another may require a little backtracking to pick up things that you could be learning now. I have no idea which doors will interest you so I have to lay a very broad groundwork and push you in directions you may not immediately see any need for. You have to trust that, over the course of many years and many students, I have a good sense of what you might need and of what you may find interesting after we're done."

"How do I know this? I talk to my students after they graduate. They tell me what they found useful or pointless. I get all kinds of stories about topics that we covered here that directly applied to something they were working on, stories about being the only one who really understood something the professor was trying to say. There aren't many complaints that we spent too much time on a topic they never saw again."

"If there is ever a commonality in the comments of returning graduates, it's this: 'I never imagined that THAT would be useful. I was surprised when it showed up. So was the professor - he was grateful SOMEONE knew about it.'"

"As Seth Godin mentioned the other day, the odds of becoming anything in particular are pretty slim. The odds of being able to land that gig at the radio station are pretty small, considering that the current jobbers probably want to keep their jobs. The odds of being a pro basketball player are less than 1:1,000,000; of becoming a developer for the software firm down the street or the next Andy Warhol, virtually nil."

The ardent or insane pursuit of a particular goal is a good idea if the steps you take along the way also prep you for other outcomes, each almost as good (or better). - Seth Godin

"You can't pick a single destination because that destination might not be there when you arrive. Choose instead an education that can branch unexpectedly to fit the sudden turns you'll face."

"What courses should you take? Everything you can. This is the last time education is free. Take drafting, poetry, physics, sculpture, statistics, history, psychology, another language. If you can take it, you should take it. If you find out you hate it, then no harm done. Did you know that the Spanish teacher can also teach Russian?"

"I don't honestly know how you, personally, will use Russian, my little snowflake. Who knows how you'll use a knowledge of parabolas or an understanding of rates of change. I know how I use them and how my friends use them, but I can't speak for you. I can watch anime in the original Japanese and catch a smattering of the dialog. Is that reason enough to take Japanese? It wasn't the reason at the time but it is neat now. My Japanese students still laugh at my speaking ability (or lack thereof)."

"I won't bother to tell you that I used parabolas to design an archway in the garden because you don't care. I won't tell you how a recent graduate earned $30 an hour in her first collegiate summer helping her professor build a radically new type of solar panel - because you'll just say that you're not going to study that. Neither does she, but her knowledge of calculus, biology and chemistry is why she got the job."

"Furthermore, if I were to say that I was not going to allow you to take this math class because you are Hispanic, or Black, or female, you would be all over my case for discrimination. You are capable enough. Why should you willingly do to yourself what only a blatantly racist and sexist asshole would do to you?"

"To sum up: I don't know when, or even if, you'll ever use this. Please don't let your current malaise lead you to ignore this work and prevent you from doing something you are fascinated by in the future.

Remember that hallway? Don't slam those doors in your face before you even get there to see through the peephole."

Fallacy of Relevance - Ad misericondium

When arguing a point, attempting to get out of a traffic ticket or scraping together a passing grade, an appeal to pity can sometimes be effective. Other times you just look stupid.

Case in point, a Yemeni man is held in Guantanamo Bay and the Obama administration won't release him. He might have had a chance but the Christmas day bomber-moron tried to remove himself from the gene pool and take others with him.

"So a Nigerian man tries to set off a bomb on an American plane, and they punish my brother for this?" says Hila's sister, who did want to be identified.

An excellent point, even if she does forget to mention that the Nigerian trained in Yemen. (BTW, the 'I don't want to be identified' part is pretty funny if they mention she's his sister - sign of things to come?) Now the appeal to pity:

"His mother died, his father died, his two sons died, and now his uncle has died," Hila's sister says. "Do they want us to all be dead before they bring him back home again?"

It's a fallacy of relevance because the death of the relatives has nothing to do with the reasons for jail. Still, it can be effective unless you take this fallacy so far. Too much detail tends to ruin the weepy feeling and harden the listener. "Crash!" goes your argument:

"She says the family has endured enough trouble already. Last year, Hila's two young sons died when a grenade they were playing with exploded."

If your two young kids played with a live hand grenade and killed themselves, you're a terrorist. Dude, your unidentified sister is making this too easy.

Source: npr.org.