In which this isn’t helping

2014-01-10 19.28.23I am, generally, someone who tries to be realistic about his students.  Teachers tend to run the gamut; some of them truly believe that all of their kids can change the world if they want to, and far too many succumb to cynicism and don’t give their kids credit for anything.  I try to split the difference as much as I can. The simple fact– and this would be true regardless of what kind of district I worked in, and I do not work in a high-income district– a certain percentage of my kids are going to exit the world more or less as poor and ignorant as they were when they came into it.  I’ve found out about three or four former students just in the last few weeks who have had babies recently; none of them have graduated high school yet, and at this point I pretty much doubt any of them ever will.  The thing that keeps me going, though, is that despite all their disadvantages in life and despite an American culture that pays lip service to education but does not actually give a damn about it or value people who have it, some of my kids are going to succeed despite all the shit life has stacked against them.  And here’s the thing:  I cannot look at a roomful of seventh and eighth graders and pick out which ones are going to make it and which ones aren’t.  It is entirely possible that a kid who I think is already fucked for life at 12 is going to find a way to escape the morass of shit he’s found himself in and lead a good life.  It’s also entirely possible that my honors kid who I think I’m gonna be asking for a job in twenty years is going to have something happen to her that sends her spiraling.

I know the truth about this country; I know that education can’t actually overcome poverty, most of the time, and I have no illusions that my contributions in seventh grade math– seventh grade, the grade where any human being, regardless of any other factor, is least likely to, able to, or interested in Taking Shit Seriously For Their Future– seventh grade is generally the worst year of your life— are going to make any real difference.  For some kids? Sure, absolutely.  For all of them?  Most of them, even?  Not really.  They’re gonna go do what they’re gonna go do, and maybe that’ll be Good Things and maybe that’ll be Bad Things, but the simple fact is their seventh-grade math teacher isn’t gonna make all that much difference to how things turn out.

But again:  I can’t tell the difference from here.  I can’t tell you which of these kids I’m actually gonna make a difference with.  I can’t tell you which of the kids are actually gonna remember me (positively, hopefully) and which won’t.  And given the number of kids who have told me I was their favorite teacher or mine was their favorite class who I would have thought hated me, sometimes I’m not even sure they have any idea.

(Kinda embarrassing late edit:  Because I can’t see the future, I have to treat all of them as if they’re going to make it.  Even if I think they’re not going to.  All of them, all the time, every day.  Which, weirdly, is less positive than it sounds, and frankly is frequently exhausting.  That was kinda the point of this whole first part and I never actually said it.)

I’ve not even started this piece and I’m sidetracked already.

I talked earlier this week about what we’re doing in class:  composite shapes, like the one in the diagram above– an actual problem in their math workbook.  Here’s the thing:  for good or for bad, my kids are not very good at geometry right now.  They can’t quite wrap their heads around how formulas work, they don’t want to bother to remember them, and even when they do they frequently leave bits out or randomly decide that even though they multiplied pi by the radius squared the last thirty times they calculated the area of a circle they’re gonna add it this time.  And, while I’m going back and forth on things, I myself bounce back and forth between “You fucking idiots have been doing this shit for three or four years now, when the fuck is it going to click?” and trying to be a bit more reasonable and recognizing that even with the smart ones learning is going to involve backsliding and making mistakes and goddammit circles were a pain in your ass when you were their age too so stop being an asshole.

Simple shapes are bad enough.  Maybe they shouldn’t be; maybe I should be a better teacher and they should get them by now; maybe they should be better students and maybe just once in a while spend ten seconds studying or actually pick up a book and do some damn homework once in a while.  They don’t; I know this.  Doesn’t change my job.  Ain’t nobody gonna blame the kids.  It’s me and I know it; governors can’t get elected calling kids stupid.  They’re gonna call me incompetent instead.

Simple shapes are bad enough; when you glomp three or four of them together and then don’t provide all of the measurements that they need, it gets much worse.  They don’t quite understand which operations to use at any given time, most of the time; they’re terrible at anything involving multiple steps, and they cannot, cannot reason their way out of a paper bag with a bright light at one end and a rabid dragon-wolverine at the other.  Composite shapes are a horrible sick combination of all of these things and plus it’s the first week back from Winter Break and plus we’ve been doing this for two days and they just. do. not. get it.

Will they get it?  Yeah, probably, eventually.  With me, maybe not?  But maybe in eighth grade, they’ll get it.  Somebody’s gotta teach this shit first, and I remember being pretty bad at long division once upon a time.  It clicked sooner or later.  This will too.

But back to that shape.  Here, look at it again:

2014-01-10 19.28.23I’m gonna admit something:  I looked at that figure for three or four minutes with one of my smarter kids today, and I’ve spent another five or six minutes looking at it now, before posting it in front of God and the internet, and I swear to you that I have no goddamned earthly idea right now how the hell I might find the area of that shape.  I say this fully aware that some smartass is going to set me straight within five minutes, either here or on Facebook (let’s be honest, it’s gonna be Facebook) and I will be properly chastened at that time.  But right now?  I don’t even know where to start.  It sorta looks like two trapezoids pushed together, which would be fine, except I don’t have the height on either of them; that angle up at the very top might be a right angle but I think it’s the only one.  There’s no good way to make triangles out of it; again, I don’t have any heights to go with the bases.  Parallelograms are right out because the angles don’t match.

Literally:  no clue.

And my seventh-graders are supposed to be able to figure this shit out.  My seventh-graders, who struggle with basic triangles, and require patient coaching to figure out the area of L shapes that are plainly and obviously (even to them!) two rectangles stuck to each other.

I don’t like having to say “I don’t know how to do that; skip it” in fucking math class.  Especially when I’m spending effort, as I have to every day, trying to convince them that yes, you can do this.  That yes, you do understand this.  That yes, this is possible to begin with.  It doesn’t fucking help when my completely grown three-college-degrees-two-master’s-degrees-twelve-years-of-teaching-experience-and-a-partridge-in-a-fucking-pear-tree ass proves unable to solve a problem that they are expected to do.

It was a frustrating day.  Go ahead, point out how I fucked this up; it’s probably something obvious.


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17 thoughts on “In which this isn’t helping

  1. I don’t think the solution is obvious at all. Unless you assume two right angles (and even then) there’s no simple way to solve that. I would ask myself: what’s the point of the students doing this question? If it takes a grown up with a math degree over five minutes to figure it out, is it worth showing a little kid? Kids internalize issues. They make up it’s their own ineptitude that’s the problem, not the difficulty of the question. I’d hate to have kids start to think they can’t do math just because that question is beyond their level of ability at that age.
    Isn’t it better to feed them progressively more difficult questions that they can do? So that they can experience success? I would go that route. The point of a question is to help the student, not hinder them. Therefore, if a question is out of their reach, it’s not helpful. Next question.

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  2. I’m usually pretty good at scanning through an assignment and pegging the questions that are either a) going to be difficult, but possible or b) not worth the trouble to have them do, and adjusting assignments accordingly. In fact, for this particular assignment, I’d pared down maybe twenty-five problems to NINE that I wanted them to do. Problem is, this one initially scanned as “two trapezoids; let it go” and I didn’t realize what a bastard it was until one of the kids asked me about it.

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  3. I can see that. Even now, looking at it again, if we assume two right angles, it’s still nasty. I can see an isosceles triangle and that would give us the hypothenuse but that’s only the beginning. Even with the Sine Law (which the kids don’t know), the Cosine Law and trig (they don’t know those either) or EVEN with blasted derivatives or integrals that thing is a headache in the making. EW.

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  4. PSShort's avatar Antisocial Patty

    Let’s make this worse. Imagine you’re the school counselor, who is asked to sub for the math teacher who is out sick. And before you were a school counselor, you were a history teacher. Imagine how much learning would take place in this scenario. Allegedly. The upside, if there is one, is that sometimes after they have the baby, they realize how much school really matters, and they come back. So there’s that. And I’m holding on to that.

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  5. You, pal, are a genius. I laughed so hard reading this, not laughing at you, but at your eloquent wording XD. I’m a high school Junior with straight A’s, taking colelge classes, and all that other nerd stuff… but I’m as stumped as you are. I have no flipping idea how to figure this out. Do let us know if/when you get it; I really want to know the answer now!

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  6. After talking it over with a couple of people, my best guess is that the 4.5m that is sort of awkwardly in the middle of the shape is supposed to be the height and the dotted line to indicate height isn’t printed. You solve it by drawing a line to connect the two obtuse angles and then taking advantage of the right angle at the very top of the shape; you therefore have two trapezoids– one with bases of 3.2 and 6.5 with a height of 4.5, and another with bases of 1.8 and 4.5, also with a height of 4.5.

    Solution, therefore: .5(3.2+6.5)4.5 = 21.825 meters squared for the left trapezoid, .5(1.8+4.5)4.5 =14.175 meters squared for the right; 36 meters squared total.

    Needless to say, lots of handholding necessary even if there was a dotted height line there; entirely impossible for any of my students without it.

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  7. pjsandchocolate's avatar pjsandchocolate

    Goddammit! Stop putting these fucking word problems in your fucking posts!!!! Every time I see one, I automatically stop reading the damn post, get a paper and pencil and TRY TO FIGURE THE FUCKING THING OUT!!!! Sometimes it takes me 30 minutes to concede defeat and finish reading the post, just to find out IF YOU’VE PUT IN THE GORRAM ANSWER FURTHER DOWN!!!!

    Sadistic fucktard.

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      1. pjsandchocolate's avatar pjsandchocolate

        Sadly, I’m not exaggerating. I actually look things up to refresh my ailing brain on rules that I haven’t used in 20 years. I had to source Wikipedia for how to find the area of triangles to figure out that damn problem.

        I still didn’t get it because I thought the missing dotted line height measure referenced the length of the outside line of the shape.

        I am so screwed when my kids hit middle school math.

        Mathematicians. Guh.

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  8. I dropped in because you liked a post of mine and started reading and couldn’t stop laughing and sympathising. Like you, I concluded that the diagram was simply badly labelled (i.e the ‘loose’ 4.5 referred to your visible and invisible left shape sides.) Hang in there, get enough sleep, you are doing the most important job in the world, giving as many as possible of the next generation a chance in life.

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  9. James E. Powell's avatar James E. Powell

    Because I can’t see the future, I have to treat all of them as if they’re going to make it. Even if I think they’re not going to. All of them, all the time, every day.

    I teach English in high school with the same or similar student population to the one you describe in your classes. I not only tell myself the above every day, I tell the students. They have very little faith in their own ability to make things happen for themselves. It is one of the never spoken of components of the schools that seem to be doing poorly.

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  10. Copy onto 1cm squared paper, cut it out, cut it up, count the squares, unless a) being the USA 1cm squared paper doesn’t exist, and b) they manage this without giving in to the temptation to stab each other, or you, with the scissors!
    Sorry about the delay, I have only just found this.

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