Saturday, January 31, 2009

Once more into the Breach of Reform

D-Ed Reckoning is talking about Bill Gates again.
First, Bill sets a silly goal: "Our goal as a nation should be to ensure that 80 percent of our students graduate from high school fully ready to attend college by 2025."
The problem isn't that all our kids aren't going to college. We still need to have the discussion on WHETHER all our kids should go to college. It is truly irresponsible to encourage a kid to be a really good mechanic? I'll teach him as much algebra and "Real-World" mathematics as I can but my gut tells me that he'd be happy and prosperous, and live a fulfilled and rewarding life as a mechanic.

The Gates Foundation has really bought into improving education and I'm glad. I just don't think he or any of the others have a clue.

A fundamental flaw is that no one has defined a goal in education - I mean a real one, not the silliness described above.

Businessmen measure themselves by the size of the company, income, number of employees, gross market share, etc. These are all readily quantified. You can argue whether (a)(b) or (c) is a more important indicator but you are still talking numbers. You are also talking about 2-3 years at most. What you do now has immediate ramifications and the effects can be seen clearly.

Education is not so easily defined and analyzed. Children take far longer to display changes caused by your reforms. They have their own ideas about what their education should look like and they have their own frame of reference through which your reforms must pass.

The over-arching problem is the lack of a true set of finish lines or yardsticks. Everyone can claim expertise because no one has any idea of what we're measuring. You can't toss out the charlatan because you're never able to identified them as such. We have no better idea of what makes a good education that we have ever have.

What is the goal?

Are we looking at
- Scores on a test?
- Graduation rate?
- Survey results?
- College admissions?
- College Graduation?
- Time in seat?
- Number of computers hacked?
- Number of books read?
- Number of books understood?
- Number of KIPP drills?
- Varsity Letters?
or ... what?

Bill comes in with his definitions, throws around some money and says "Follow me" but the results take 12 years to come to fruition. By then we're on education reform #392 and his definitions are no longer in play by the time someone realizes that his goals were pretty self-serving all along and not applicable to the vast majority.

Bill (and his ilk) also have trouble remembering that students are not widgets. The same ruthless adherence to standards in manufacturing cannot be applied to education - you cannot simply send back to the supplier for better parts with fewer flaws or blemishes.

Children are also not adults. They are not responsible and cannot make decisions on their own. Don't yell at me - society will not allow them to drive, drink, smoke, have sex, or drop out of school, among other things. To expect young people to make good decisions about education when they can't apparently make decisions about any other aspect of their lives makes for an impossible paradox – how to get the one person with control over his/her own behavior, attitude and work ethic to exercise that control responsibly? The analogy to herding cats never looked so apropos.

Teachers, too. Be a Sage on the Stage or Guide on the Side?

What if the teacher fundamentally doesn't agree with the new reform? Is he at fault or is the reform effort the true problem? Did you train that teacher in the new methods or give him a book and say "Have at it!" When it falls flat, did that teacher deliberately sabotage the reform or is the reform poorly thought-out, poorly imagined and dead wrong for the students?

D-Ed Reckoning then has a different take than I when he lays out two approaches to answer this question:
"Next, Bill asks an easily answered rhetorical question:
Unlike scientists developing a vaccine, it is hard to test with scientific certainty what works in schools. If one school’s students do better than another school’s, how do you determine the exact cause? "
I'm asking all of us - Before you figure out why this group did better than that one, kindly explain how you determine which school's students did better? What's your criteria and why?

This is not as easy as it might be at first blush. Take the KIPP schools - arguably the best at what they do. What do they do? They prepare kids for a drill-and-practice kind of world and their kids do very well on recall tests. That's fine as far as it goes, but I for example would have hated it. I was fine in a much more loosely defined world in high school and quite successful in life - even if you avoid the "He became a teacher because he couldn't do anything else" joke. I didn't need to spend 7:30 - 5:00 every day at school, practicing my math facts and being taught to write. My teachers would never have tolerated it and I had some fine teachers. KIPP is excellent at what they do but it's not for everyone. Probably not even for much more than a small minority.

So - is KIPP the standard of success? Not for me but something had to generate this idea of Gates's ...
It is amazing how big a difference a great teacher makes versus an ineffective one. Research shows that there is only half as much variation in student achievement between schools as there is among classrooms in the same school. If you want your child to get the best education possible, it is actually more important to get him assigned to a great teacher than to a great school.
If that's the case, then why doesn't teacher certification seem to matter?
For my money, it's that we haven't decided what we're ultimately doing.

I live in New England

It always cracks me up ....

If your local Dairy Queen is closed from September through May, you live in New England.

If someone in a Home Depot store offers you assistance and they don’t work there, you live in New England.

If you’ve worn shorts and a parka at the same time, you live in New England.

If you’ve had a lengthy telephone conversation with someone who dialed a wrong number, you live in New England..

If “Vacation” means going anywhere south of New York City for the weekend, you live in New England.

If you measure distance in hours, you live in New England..

If you know several people who have hit a deer more than once, you live in New England.

If you have switched from “heat” to “A/C” in the same day and back again, you live in New England.

If you can drive 75 mph through 2 feet of snow during a raging blizzard without flinching, you live in New England..

If you install security lights on your house and garage, but leave both unlocked, you live in New England.

If you carry jumpers in your car and your wife knows how to use them, you live in New England.

If you design your kid’s Halloween costume to fit over a snowsuit, you live in New England.

If the speed limit on the highway is 55 mph — you’re going 80 and everybody is passing you, you live in New England.
UPDATE: If you're going 90 and everyone is passing you, you're on Route 2 out of Boston at rush hour. If you're dragracing and losing the race to the next light, you're on Commonwealth Avenue.

If driving is better in the winter because the potholes are filled with snow, you live in New England.

If you know all 4 seasons: almost winter, winter, still winter and road construction, you live in New England.

If you have more miles on your snow blower than your car, you live in New England.

If you find 10 degrees “a little chilly”, you live in New England.

I hate the Real World

I am tired of "Real-World" problems.

jd2718 asks about the Integrated Algebra #23
A survey is being conducted to determine which types of television programs people watch. Which survey and location combination would likely contain the most bias?
(1) surveying 10 people who work in a sporting goods store
(2) surveying the first 25 people who enter a grocery store
(3) randomly surveying 50 people during the day in a mall
(4) randomly surveying 75 people during the day in a clothing store

Once again, the real world is far too messy to be contained in a simplistic little problem.  As I said on a different comment, this question was probably written by someone who didn't teach and who didn't completely understand the subject.  In his mind, avoiding bias was only a function of the sample size, but he forgot that this rule applies to those "chosen at random."  

There is simply too little detail to ascertain the randomness of the sample.

The employees at a particular store are probably quite varied and most random, unless you chose all minimum-wage cashiers.  Which is it?

The first 25 people who enter a grocery store would be self-selected as well - none are at work at that time of day,  same type of shopper with same type of viewing habits - they might even have scheduled grocery shopping around their other interests - and may be all getting this chore done so as to go and watch the same show.  Still, 25 grocery shoppers are a better sample than 10 employees if you assume that the 10 are all cashiers.

The 50 in a mall during the day have the same problem - if you have time to go to the mall during the day, you aren't working during the day.  Any mall worker could tell you that - the mornings are the older folks doing their exercise and the idle.  (I am basing this on the advertisements for such at the local mall.  I can't say for sure as I can't recall as I've ever been in the mall during the day on a normal weekday.)  If your survey needed to know daytime viewing habits, this would be the best sample to take, though.

The 75 people during the day in a clothing store are probably the most homogeneous - daytime free time and all that, but the clothing store would select for only a very small demographic.  In my mind, the advantage of the greater number is dwarfed by the uniformity of the clientèle at the Old Navy Store in the mall during the day.

I vote (4) as the most biased sample, based on the assumptions I made. I'm not sure how you can tell me I'm wrong unless I've told you those assumptions.

Once again, real world knowledge, intelligence and critical thinking are a hindrance to the finding "correct" answer, exactly opposite to our goal. 

Oh well.  Shut up, stop thinking and choose (1) as your answer.

Thursday, January 29, 2009

NY Regents: Mathematics B Conversions

For those interested, here are some raw-score to scaled score conversion charts for the NY Regents Math B for January 2009.
Right: Raw Score-Scaled Score. Center: point differential vs raw-score. Left: Percent increase of scaled score over raw score vs the raw score. In other words, (scaled-raw)/raw * 100%












Very interesting comparing the scales to these for the June test last year.

Monday, January 26, 2009

Sports isn't always glorious.

Every once in a while, it all goes terribly wrong. I used to work in this industry and this struck home. It always does and it always hurts, even if I didn't know this girl personally.
BY BRIGITTE RUTHMAN REPUBLICAN-AMERICAN
BARKHAMSTED — A 16-year-old Barkhamsted skier died Wednesday of injuries suffered the day before when she crashed into a tree during a warmup run on a black diamond trail at Sugarloaf Mountain in Maine. Rebecca McGill was a student at Stratton Mountain School in Stratton, Vt. She was attending Sugarloaf's annual Speed Week training camp when she left the trail and crashed into a tree.

Sunday, January 25, 2009

Sick Daze - part Deux

A couple of folks have asked about the actual contents of my sick days reading folders but I must confess I haven't gotten it wrapped up yet. I have until Jan 27th for crying out loud. Sheesh. Surely today is soon enough to start?

Procrastinators of the World - Unite. The day after tomorrow.

I do plan on putting up the list (once it's been decided upon) and the questions but I'd also love to hear your thoughts on this.

Science Fair

I get to judge science fair because I'm a sucker that way. It's interesting but occasionally very unpretty. Some conclusions are astounding.

Did you know that running up stairs makes your heart beat faster? No, really, it does. This graph shows it. (Insert Pareto sorted graph -- names vs. single recorded time -- here) Realize, my readers, that the data didn't compare relaxed heart rate to running heart rate vs BMI or something scientific. It was just name and number, thrown together that morning.

Compare that to an exploration of the burn temperature of flour-sugar mixtures. She didn't quite realize the shape of her graph. She figured on the exponential part but not that it would naturally have a decreasing growth rate as the mixtures approached 100% sugar. She tried to explain her extrapolation of her figures but knew it wasn't fitting the data right. I pointed out the 100% cap on the mixture and how that would limit the temperature to that of the pure mixture and her eyes lit up as she realized what the actual situation was. I felt a little bad when she said "it was so obvious now." Well, not really.

Some of the graphs make me shudder. One in particular had a horizontal axis evenly marked off, but labeled "0.1, 0.1, 1, 0.5, 2, 1, 0.5, 2, 3" The graph had an upward trend and so did the results. I am looking for the spot on the scoring rubric that said "Totally screwed up the graph and all conclusions made from it were garbage" but I couldn't find that entry.

Others had a couple observations and no real data to graph but they made graphs anyway. "I measured the time it took to climb three sets of stairs and graphed the numbers. I spent a lot of time painting the cardboard display." "So? What conclusion did you reach?"

Distraction vs style of music - I liked that one. I hope she quantifies the distraction of the music somehow, but it had definite promise.

Size of wound v time of bleed-out - give me a break.

Still others had had a "bit of help" from their parents. I asked one "I see this number in the table and I see it here on the graph, but where are these numbers? (indicating some others in the table)" Couldn't answer. Father answered for her. Father was wrong. I tried again. "How did you measure the heartbeat?" "I held the mouse and divided by 15." I think she meant that she counted for 15 seconds and multiplied by 4, but what I had seen already was pretty impressive for her regardless, so I didn't press further, just told her it was a good job and scored it so.

One kid was all proud of herself because she had been able to teach many other students about the use of Excel so that was a good spot of light on the evening.

Will you grade mine?" was the constant refrain. I really wish I could move around, look at them all and not have to score them, just offer a comment or suggestion or a "cool" without needing to spend too much time at each one. As it is, I always seem to miss so many of my students because it's just too much. After two hours, I have to get out.

And I hate the rubric.

Performance based on this?

I'm watching an English class give presentations based on their reading of some "To Build a Fire" type story - not the London tale but similar. This particular group is ninth graders, very remedial reading. These are not strong students but most gave a good attempt at a presentation. There was one, however, whose entire presentation on wilderness survival consisted of holding an aluminum energy-drink can and saying

"To start a fire, take a piece of chocolate and rub the bottom of the can to make it shiny and then shine it on the tinder and um, yeah."

That's it. That was the whole thing. Right out of SurvivorMan and not even that good.

So I'm thinking ... These are the kids whose math and English scores are going to be used tojudge us all and our effectiveness as teachers? How well I teach seems such a small part of the overall performance of our students. Their mood, the time of year, the help they get from parents or not, their attitude.

If I were grading this and gave the kid the grade it deserved, am I being too mean? Will the kid learn more from seeing the true worth of his work or should I pat him on the back and praise away my standards? At what point does the "Gotta make them learn" run up against the need for students to do their part and accept some responsibility for their laziness or screw-ups?

Am I at fault for the lazy student?

What is the goal here? Good performance on the NCLB test? Or preparation for the Real-World (tm) of bosses who are not happy with a 32-word presentation? Or some other vague notion of teaching to the best of your ability?

Is it any wonder I'm not in favor of performance bonuses for teachers?
Ferriter at the Tempered Radical is talking about professional development and since his page "Won't accept this data" when I tried to comment, I figured you all could go there and read his article and then read this comment if you'd like.

Comment on Ferriter's Professional Headache.

I too am annoyed by the insistence on learning the SmartBoard and other truly simple technology tools in any kind of group setting.  Teachers seem to have this constant need for "Training" when they could buy a ____ for Dummies book and sit and read it.

Compounding the annoyance ... When the projector doesn't work with the laptop and the presenter has no clue about the use of the tool. I get very frustrated.

I wrote about it at one point (http://mathcurmudgeon.blogspot.com/2008/11/smartboard-follies.html) and I still look back at that session with amazement. Just the idea that this computer teacher had had a SmartBoard for over three years, yet her uses for it were limited to using it as a projection screen and for the occasional tapping of a PowerPoint.

Her contribution to the presentation (she was one of two presenters) was "Somewhere here, hang on, let me find this really cool thing, wait, oh yeah, here it is - YOU CAN ROLL A PAIR OF DICE! Isn't that cool?)

I'm thinking "I can write programs in a whole bunch of languages, I run 13 websites using ASP, PHP, and regular HTML, am fluent with the machine and the board.  Why am I here?"

Then I answered myself, "Because the other option was even more stupid. That was learning how to teach children to count.  Let's count the circles and watch the aides and the elementary teachers get the wrong answers."

At least I haven't had the pleasure of sitting through professional development delivered by students
(http://mathcurmudgeon.blogspot.com/2008/11/pd-has-me-pod.html).  I have no illusions about that scenario - I have judged at way too many science fairs.

Friday, January 23, 2009

Sick Daze - a thought.

Our principal called for five days of emergency plans from all of us, plans that could be used at any time in the school year for, well, an emergency.

I'm a math teacher and it's difficult for me to plan THAT far ahead with any specificity - who knows what the sub can or can't explain, what the kids can or can't figure out - so our department is going to try something along these lines:

Instead of some worksheet that might or might not get completed or understood, we're going to collect articles and other readings, bind them into those folders with fasteners and leave 30 of those in the corner of the room. We'll include some questions and leave instructions to "have them read article number 13 and discuss the questions afterwards." It's not a math assignment but it's not a day off either.

Things like "The Median isn't the Message" by SJ Gould, "Flatland" by Abbott, "Clever Hans the Math Horse" from dangerouslyirrelevant.com, Asimov on Physics, and other articles and pieces that have some connection to math.

It should be an interesting change of pace and we feel it will be good for the students to read short pieces with a different tone and focus than what they might get from the English or History Department.

Reading such as this isn't in the same vein as Sustained Silent Reading, (or Self-Selected Reading if you'd rather) but we also have to placate our principal who foams at the mouth if we aren't DOING SOMETHING about our math test scores.

Geometry Fail

In honor of PO'd Teacher's Uniform Geometry Exams being so "clever" ...

 
I thought I'd add a question for it ... Does Mr. AP look good in a tophat?

Wednesday, January 21, 2009

Cowboy Competent

He seems competent. I think we have elected a man who will not be flashy, who won't shoot from the lip and who won't overreact.

Nice change.

I thought Charles Krauthammer said it really well: "In Obama, we get a President with the political intelligence of Bill Clinton harnessed to the steely self-discipline of Vladimir Putin."

The speech was a case in point. I was waiting for that rousing moment, the "Ask NOT what your country can do for you", but it never came. I'm not disappointed, though. "Time to get up, dust ourselves off and get back to work" is what we need to do in this country right now.

Monday, January 19, 2009

State Lottery Games

It was time for probability a few weeks ago and I like to finish off one part of it with real expected return questions.

I have a substantial collection of used State Lottery scratch-off tickets - some I had played myself and others that I had gotten out of the trash - and had the kids calculate the expected return for them based on the odds on the back.

Each kid gets a different game, but in comparing results find that all of the games regardless of cost or possible prizes somehow (!) return 0.60 on the dollar.

EXCEPT for games with a Christmas theme. Those return 0.75 on the dollar.

The discussion as to "Why those?" is the most valuable of all. It's also interesting to see and hear their reaction to the myriad of names the creators come up with for them: "Hot Money" "Fast Cash" "Trolling for Cash" "Buried Treasure". They don't really realize how much psychology goes into it all.