Category: assessment

Total 34 Posts

Assessment Part Deux Redux

The blogosphere’s been buzzin’ about assessment. (Not the NCLB kind.)

First, Marie, Rich, and Jackie have been asking some sharp questions on math assessment over in an earlier post.

Second, the Teacher Leaders Network blog is picking through the question, “How do you handle a student with an A on tests and an F on homework?”

My answer there, without even a little equivocation, is to pass her and then figure out why your homework is so totally inessential to class success. If you’re gutsy, you give her an A, but regardless you evaluate what it means to pass a student. Does it mean she did her homework, attended, participated in class discussion, raised her hand x times, wasn’t a discipline issue, brought baked goods on her assigned day, etc. etc., getting increasingly petty here. Basically, which of those behaviors is worth sandbagging a kid for a semester who knows the material, knows how to compute fractions, write persuasive essays, identify continents?

Third, Todd wrote an extraordinary post awhile back called “The Shrinking Educational Middle Class” which I’ve been meaning to pick up.

Todd sez, back in the day, you’d have histograms like this, with a bell-shaped distribution of grades (the graphics are his):

But that nowadays, the middle class is shrinking: the good grades get better, the bad grades get worse.

He’s right on; it’s a phenomenon that seems particularly exaggerated in low-performing populations. I’m going to proceed totally anecdotally here.

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How To Assess

This is a math-related post. I’ve tried to keep it as broad-minded as possible because, as much as I believe I’ve found the best way to assess mathematics, I haven’t the foggiest how to translate it to other disciplines. And I need help.

(Prerequisite: It’s essential to assess math by concepts and skills rather than by chapters, for reasons I outlined here, but specifically in this case because assessing by concepts means I can remediate like a pro. A student comes in with a low overall grade in hand and I know exactly which of our (currently) 21 concepts are bringing her down. We tutor, we reassess, grades go up, comprehension goes up, everyone’s happy.)

Ranking a close second in importance to concept-based assessment is the selection of good concepts. Here’s where I almost went wrong this last week.

We’ve been assessing Cones (#19) for a couple weeks now. It’s a straightforward concept. All you need to find the surface area of a cone is the slant height (19 inches in the picture) and the radius of the circular base (7 inches).

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Let’s Play A Game

Choose any of your sections. Now, before you hand out your next objective assessment, write down a quick prediction of every student’s exam grade.

Grade them and compare the results.

Deduct points for every score you mis-predicted, one point for every letter grade you flopped. For instance, if you guessed James would score a B and he flunked, deduct three points. You may not deduct four points; you may only sock yourself in the nose.

There is no winning in this game, there is only less losing.

Of the 27 students who took Wednesday’s concept quiz,

  • I guessed 7 grades correctly.
  • I overestimated 18 grades.
  • I underestimated 2 grades.
  • My score was -30.  (Off by 1.1 grade per student.)
  • James wasn’t a hypothetical student.
  • I blew it with cone surface area.

Questions of what all this means, what constitutes a good score (-30 does not, frankly), whether a good score off this metric should even matter to teachers, and, morally, what it means for the teacher to predict a failing grade, are left as exercises to the reader, who, the writer hopes, won’t be stingy with commentary.

I never said it was a fun game.

(May as well officialize it. If you teach math, consider yourself memed.)

Mindy from the Mailbag

Bringing a little tear to my eye is Mindy’s comment from How Math Must Assess:

But the message I want to share with everyone who reads this is, that for the first time, I feel like I’m actually doing things in a meaningful way and that, for the first time, I can fully explain the “why” of what I’m doing. And, in a strange way, I think assessment is easier now and less time consuming because I get the information I need, the students get the information they need, the parents get the information they need and it’s not this big “secret” about what we’re doing and why.

I’ve been at this assessment system long enough to forget sometimes how precise, useful, and satisfying it is — especially compared to where I’ve been.

Thanks for the reminder, Mindy.

Finals Fever!

I used to love this season a lot more. I carried wounds out of college — fleshy, red stripes — inflicted by the dozen-or-so final exams I took each year. It was refreshing, then, even thrilling in some unfortunately sadistic sense, to be the one doling out the pain.

I was finally the one being begged for small granulated clues to exam content, rather than the one wheedling the same clues from some lame bohemian TA. Their anxiety, their whimpered pleas for a study guide, repaired me and, in the same regrettable sense as before, made me stronger. At one point I tallied all the final exams I’d taken in my life and then determined a five-year teaching stint would be enough to mend.

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