Monthly Archives: April 2019

Great Moments in Teaching: When It Had to Be You

Teachers who work with a large population of Asian students occasionally describe a student as “not getting the memo”.  High achieving or just hard working, the bulk of eastern and southern Asians all got the word: school is important.

Taio, who has been in my ELD class for a year or so, is a tall, plump fifteen year old who spent all of last year on his phone. I’d take it away, and he’d just sit impassively. Miko mentioned last year that the kid had said I talked too fast, which amused us both, but when I mentioned to Taio that I’d try to talk more slowly, he was shocked and got out his phone for Google Translate. “I like your class very much,” the text said. Huh.

Taio would do work sheets, and occasionally write a sentence or two. But he hated to talk and would sit, sullenly staring at me, as I gave out sentence starters again and again.

Another conversation with Miko, asking if we needed a parent conference. “His dad is the only one here, and he works three jobs.”

I sighed. “How are these basically indigent people getting here from China? And why come here, with rents what they are?”

Miko shrugged.

Taio improved  with the new school year. The class was motivated, I had some curriculum, and last year’s experiences gave the returning students a bond that build more camaraderie.  He was still on his phone every chance I gave him, but he participated more, would occasionally speak unprompted, and even wrote brief paragraphs. But he still hadn’t had any kind of breakthrough, and while he wasn’t at all unintelligent, I couldn’t get a sense of his abilities.

I assess all my ELL students in their math abilities. You would weep at how commonly they are placed above their skill level. Just today, a new student from Pakistan arrived. Because he’s a freshman and it’s second semester, he was placed in Algebra I. But he has no idea how to use negative numbers, and no understanding of fractions.

Now, I’m not faulting the registrar–I have no idea how these decisions are made. It’s just that ELL students spend close to half their school day having no idea what’s going on in their classes. Teachers often have no idea how to adjust their curriculum to meet ELL needs, and still grade the students using the same standards. We put them in “sheltered” history and English classes but we only have one each of those a year. We finally started a sheltered science class, which is very popular. Other than that, ELL students take electives: art, PE, photography, cooking. We don’t yet have a sheltered math class. Most ELL kids with any math ability are put in mainstream classes. The problem arises with those who don’t.

I’d assessed Taio last year and earlier in the fall. He knew algebra basics, and was taking our non-freshman algebra course. His teacher, new to the school, told me in October that Taio was doing very badly in his class, but Taio told me he was doing great. He had a B, which isn’t that spectacular for a deliberately easy course (taught by a teacher who was having a horrible time managing his class). But it was a passing grade, which was better than two of his other classes, so I quit wondering.

Then Taio made a big mistake. We were playing Wheel of Fortune: I form them up into teams, come up with a puzzle, they spin an online wheel for points, and guess. The teams are grouped so that weaker students can watch stronger students mull over their choices. I wish I could remember what the phrase was, but they were down to just the tricky consonants. Taio was on a team with two strong English speakers who were moved to ELL 2 just a week later.He rarely participated in these games, but I noticed he was watching closely, and suddenly I saw him say, softly, “K”.

As it happened, “K” was a missing letter from the puzzle–which I can’t remember, but I do recall there were only two letters left, both of them difficult.  The other two didn’t hear him and were discussing other options.

I looked at Taio and said, softly, “Louder.” He smiled, and shook his head.

“Hey, guys! Check with Taio.”

Taio’s teammates looked at him. “K”. They shrugged. “K”.

“Yep.” I put in “K”, and Taio, unprompted, guessed the puzzle.

Why, the little weasel. He’d been holding out on me.

I started watching him closely and realized that Taio simply didn’t like to speak English. He understood far more than he let on. I discussed with this with Miko, who agreed but said he could not figure out how to motivate him to work harder. He’d passed Algebra with a C, but was failing Miko’s class for not working, and his art class as well.

A few days later, after the semester had ended, I saw Taio’s algebra teacher, an Indian gentleman new to American schools, in the copy room, and asked again how he’d done.

“Oh, terrible. He’s in my Discovering Geometry class now, too. Never does anything, zeros every day.”

“That’s so weird. Taio’s not a liar, normally, and he tells me his tests are all A.”

“Oh, they are. He does well on the tests, but no classwork. On his phone all day, doing nothing.”

I stopped dead in my tracks and said–literally–“Wait. What?”

“Yes, he’s fine on the tests, but no homework, no classwork, phone all day. Same thing now. He got an A on the test, but no homework all week. He has a D.”

“So….he has an A average on the tests, but because he does no homework or classwork he gets a C.”

“Yes. Is that a problem?”

In less than a day, I’d contacted Taio’s counselor, had him moved from Discovery Geometry to freshman Geometry. This is  much harder than our 10-12 Geometry class and it was taught by Chuck, which gave me pause. So I emailed Chuck, hoping he’d reassure me. Instead, Chuck wrote:

As you know, Geometry is requires vocabulary and syntax (if/then). My experience is that Geometry does not appeal to most EL students because it requires language skills. Geometry provides students the opportunity to practice, but most students who are not motivated and/or not confident typically won’t put themselves out there when verbalizing logic is required.

I crossed my fingers and hoped this wouldn’t make things worse. Miko thought it was a great idea, even better since the change meant Taio was in the sheltered science class instead of PE, which he hated.

Unfortunately, he still failed Science. However, he’s passing Chuck’s extremely rigorous  Geometry class with a B. He’s talking more in my class. Taking lead in class discussions.  Passing Miko’s class, which he wasn’t before. He’s even talking to Giancarlo, a Guatemalan, teaching him Chinese and learning a little Spanish. He asks me for help with math homework. So now I have to go talk to his science teacher and see how to get him moving.

Usually my “Great Moments” series are about exciting classroom action. This is just a story about a Chinese kid who doesn’t want to be in America and hates school. He ‘s a loner who doesn’t even use school hours for socializing.

But Taio understands what I was doing when I put him in that geometry class. He knows I put myself on the line to make school something both interesting and challenging–but doable. I’m not sure he’s working and trying for his own sake. He just doesn’t want to let me down. Good enough. It’s a start.

The thing is, it had to be me–more precisely, it had to be an ELL teacher with the math knowledge to instantly realize that a new math teacher didn’t understand he had a student who was bored silly.  It had to be an ELL teacher with the knowledge of the math sequence who could make a recommendation to a counselor and have the standing to back it up.

I love having all my credentials, but it’s usually for the flexibility and variety they give me. Every so often, however, they provide insights that move me millions of miles further down a problem path.

As an aside: you ever notice that ELL discussions by outsiders always focus around immersion vs bilingual education?  Neither method is going to get high school ELL students anywhere past pijin. It’s irrelevant.

 

Food for thought.

 


Getting Smarter, or Getting Better at Using Smarts?

Influence of young adult cognitive ability and additional education on later-life cognition

Or, as Stuart Richie says:

Cool new PNAS paper about potential educational effects on IQ.

Previous work: control for age-11 IQ, still find edu-IQ correlation later in life.

This paper: control for age-20 IQ, correlation is gone. Suggests education has limited influence after age 20.

IQ measurement doesn’t interest me much, but IQ development or change over time does, for ego-driven reasons. As long-time readers know, I have a very high IQ (I qualified and participated in a research study for 3SD+), but my spatial abilities are very weak and I was stymied in advanced math (past algebra 1)  until, in my early 40s, I learned how to compensate using logic. I also was late to learn how I learned; my brain won’t acquire new information unless it’s tagged with all sorts of meta-data. Learning new concepts was so laborious that in my teens, I simply assumed I was incapable of learning; not until I was faced with job-related challenges  did I learn how I learned. My verbal skills are extraordinarily high, although it’s hard for me to compare to others because my particular combination of smarts would have required a more thorough classical education, which I don’t have.  I read 1000 wpm and can acquire extraordinary amounts of information through inference, which of course can sometimes lead me astray.

So. In 2001, I took the GRE and got 790V, 640Q, 690A. It was the last time the Analytical section was included. 640 quant was the 65th percentile that year, 690 analytical was in the 85th percentile–some logic games are brutally spatial. Anything over 700 Verbal is in the 99th percentile. I was very proud of that quant score.

In 2008, I took the GRE and got 780V, 800Q. (I’m still annoyed by the 780; if I’d focused in more, I might have gotten a double 800.) 800 Q is just the top 4% in any given year, but it’s probably more accurate to call it a top 10% score.

According to this GRE IQ estimator, my original GRE V+Q of 1340 is 99.452nd percentile, and my second GRE V+Q of 1580 is 99.993. But (forgive me IQ estimators), any IQ based on combining V+Q makes no sense, because an 800V-640Q  is considerably more difficult to achieve than an 640V-800Q, so how can they be identical, IQ wise? Plus, the decimal point specificity is just goofy.

Looking at my quant score alone, in seven years from the age of 39 to 46, I jumped from just above average in math to pretty close to 2SD.

Did I get smarter, or did I simply learn how to use my existing intelligence?

The quant section of the old GRE was extremely g-loaded. I used to tutor for the test and ran into dozens of people who’d majored in college in math, knew more calculus and all that nonsense about vectors and matrix determinants and ordered ring fields than I’ll ever know, yet scored in the high 600s. Which is not to say that it wasn’t relatively easy, just that lots of smart people would occasionally miss questions because they were more about g than math competency. The new GRE combines both. I can’t find an online GRE practice test, but I did the problems on the ETS site, and I think I’d still get in the top 10%.

The GRE Math Subject test is what used to be called an “achievement” test. God, testing lingo has changed so dramatically in so little time. g is involved in the sense that a certain level of intelligence is required to learn the material. But a 120 IQ who’s taken calculus and number theory would outscore a 145+ IQ  who has not.

I got 13 right out of 56. A 390. I wonder how many people get an 800 on the GRE General Quant and a 390 on the GRE Math? That’s a terrific illustration, really, of the difference between achievement and aptitude.  I knew none of the number theory, only some of the stats, none of the integral questions, but all of the limit and derivative questions, and random other stuff.

Every single one of the questions I answered correctly was using math I’ve learned in the past fifteen years.  Had I taken the test in 2005, I would have gotten zero correct. I took AP Calculus as a senior, remember none of it.  All the math I know today is from my tutoring days or my time in teaching.

Did I get smarter, or did I simply learn how to use my existing intelligence? Here, it seems clearer than in the first case. The GRE Quant (old form) is definitely an aptitude test, which makes my big score jump odd. But acquiring new knowledge isn’t the same as having a higher IQ. Right? (asking seriously). I could do much better on this test if I studied up on integrals and 3-dimensional systems. Hold that thought.

To contrast, I took the GRE English Literature Subject Test, all 230 questions. For me, this test is diametrically opposite the GRE Math Subject test. The latter requires actual math knowledge. But the English Lit test is about 70% interpretation, 10% terminology (literary terms) and 20% content knowledge (knowing the plot of Ben Jonson’s plays, or familiarity with Matthew Arnold’s poems). I missed 56 questions, scoring a 650, in the 86th percentile (although I’ve always distrusted the scoring on English lit tests). Two of the misses were analysis and both were careless errors I’d never make in a real test. All the other missed problems were content knowledge–not anything I’d forgotten, but things I’d never learned. My English degree wasn’t terribly rigorous, but what I learned thirty five years ago, I remembered. I recognized Shakespeare’s writing in a sonnet I’d never read before–ditto Donne and Milton. I even guessed my way through Derrida and Foucault. But Wiliam Caxton, Nikki Giovanni–eh. Never heard of them. I read a lot of Faulkner short stories, but avoided his novels. And so on.

Most of the high difficulty questions (less than 30% answered correctly) were literary analysis, and I nailed them. The only hard questions I missed were three content knowledge (obscure authors) and  one grammar question. The rest were in the 45-65% range, which is typical when the test is covering a broad range of material and no one knows everything. I think I could probably learn my way to a 700, but higher than that would require more interest in literature than I have.

So the GRE Math subject test requires specific knowledge, while the GRE Literature subject test allows people with high aptitude to do very well, even if their specific literature content knowledge is weak.

There aren’t many forty-something folks taking GRE Subject tests, but doesn’t it seem likely that it’s more common for someone to develop math content knowledge later in life than it is to suddenly develop excellent reading skills? Which suggests that reading comprehension, verbal ability, is more hard-wired to cognitive ability than math is. That might explain why math test scores have improved more than reading scores, generally. For all the wailing about math achievement, we do better at teaching students to improve their math abilities than we do at making them better readers.

From the study abstract: “Education does improve cognitive ability”

It does? That seems backwards to me. Cognitive ability improves educability.  If all we had to do was educate people to make them smarter, I wouldn’t have this blog.

Does education actually make people smarter, or does it just teach them how to use their existing intelligence?

I have no answers, so I’ll stop here.