kitchen table math, the sequel: memorization
Showing posts with label memorization. Show all posts
Showing posts with label memorization. Show all posts

Tuesday, June 17, 2014

How much rote memorization do students do?

I was chatting-via-email with Allison yesterday re: rote learning .... which I'd been thinking about  again, in the wake of yet another reference to the horrors of brute memorization in the Times:
The Common Core, the most significant change to American public education in a generation, was hailed by the Obama administration as a way of lifting achievement at low-performing schools. After decades of rote learning, children would become nimble thinkers equipped for the modern age, capable of unraveling improper fractions and drawing connections between Lincoln and Pericles.

Common Core, in 9-Year-Old Eyes By JAVIER C. HERNÁNDEZ | JUNE 14, 2014
There it is again: the problem we don't have (decades of rote learning), being solved by the problem we do have (decades of thinking without knowing). Same old, same old, except they've upped the ante. Nimble thinkers, for pete's sake. At age 9.

For a while now, I've been planning to re-read Dan Willingham's "Inflexible Knowledge: The First Step to Expertise."

Haven't done so yet, but I did pull out his definition of rote learning:
In his book Anguished English, Richard Lederer reports that one student provided this definition of "equator": "A managerie lion running around the Earth through Africa." How has the student so grossly misunderstood the definition? And how fragmented and disjointed must the remainder of the student's knowledge of planetary science be if he or she doesn't notice that this "fact" doesn't seem to fit into the other material learned?

All teachers occasionally see this sort of answer, and they are probably fairly confident that they know what has happened. The definition of "equator" has been memorized as rote knowledge. An informal definition of rote knowledge might be "memorizing form in the absence of meaning." This student didn't even memorize words: The student took the memorization down to the level of sounds and so "imaginary line" became "managerie lion."
Re-reading this passage today, I feel less clarity than I did the first time around 10 years ago.

If rote learning is "memorizing form in the absence of meaning," then it's not clear to me that the words "menagerie lion" lack meaning, even as a definition of "equator."

"Menagerie lion" is the wrong meaning, of course, but it's a meaning, and if you didn't understand the words "imaginary line" when you heard your teacher speak them, but you did understand the words "running around the Earth through Africa," then "menagerie lion" is not a bad guess for the sound string ih-maj-in-air-ee-line.

Slightly off-topic, Jimmy (for passers-by, Jimmy is my oldest son & has autism) has always been echolalic. You would think that echolalia would be the hr-example of rote learning, but if you listen to him, you'll hear that the particularly phrases he's echoing are often directly related to what's going on. (Can't think of a good example at the moment - sorry.)

Now I'm wondering about the word "parroting" -- do we know for a fact that parrots have memorized form without meaning? Having once spent a day with a parrot who probably spoken English (including conjugated verbs), I don't think we do.

Memorizing pi

It strikes me that memorizing digits of pi is a good example of rote memorization, although the issue with pi isn't precisely that you're focusing on form in the absence of meaning. You can understand pi, or at least know what pi is, and still have to rote-memorize the digits. (Or do math people see this differently?)

Anyway, the point is: memorizing digits of pi is hard. Not easy. It's much easier to memorize material that has meaning.

Which raises the question: how much rote memorization -- memorization of form in the complete absence of meaning -- do students actually do?

How much rote memorization did students do in the past, when memorization was seen as a good thing (or at least an essential thing)?

And how much do students absolutely have to do?

I don't know how to answer that question. New vocabulary words in every subject have to be learned by rote because the link between form and meaning is arbitrary. Second language vocabulary has to be learned by rote.

Math, it seems to me, may actually require less rote memorization than any other subject. (Or is that wrong once you get past the elementary grades?)

So...how much does it all add up to?


Sunday, December 15, 2013

The New York Times is going to be surprised again

The New York Times is surprised 12/11/2013

In the Times today:
In past years, the College Board, which administers the program and the exams, has been justifiably criticized for requiring too much rote learning of a broad range of facts, and too little time for in-depth study, lab work or creative ventures. But now the board is beginning a drastic revision of its courses and exams, which will focus on the most important core concepts of a subject and leave more room for students and teachers to become more creative.

Even Gifted Students Can’t Keep Up
In Math and Science, the Best Fend for Themselves
Ostensibly, the New York Times editorial board believes AP courses are flawed and approves of the current effort to gut revise them.

Close reading of this passage, however, compels me to point out that the choice of the word "drastic" as the modifier for "revision" signals a certain ….. foreboding …. on the part of the Times.

Conclusion: the collective basal ganglia of the Times editorial board is crying out to be heard.

Sunday, August 11, 2013

Apparently students who attend Ivy League schools are good memorizers

Yale students seem to have spent so much time memorizing history facts and dates that Professor Joanne Freeman feels compelled to warn students against the Revolutionary War "fact bubble":
Tip number one is don't get lost in the dreaded Revolutionary War fact bubble, which I have to say it makes me think of the first time that I taught this course. I was actually a brand new professor and I had just come to Yale and it was my first course and it was my first lecture in my first course and I'm [sound cuts out] It actually was in Connecticut Hall, which, for those of you who don't know, dates back to the period when this course is talking about and was Nathan Hale's -- essentially his dorm. So there I am. I'm a brand new professor to Yale and I'm teaching a course about the Revolution and it's in a building that dates to the Revolution, so I'm having sort of a "wow" Yale moment as it is, and I'm off, I'm giving my lectures, and I'm really excited. I give about three of them and someone raises their hand after about three lectures and they have a kind of a puzzled expression on their face. I said, "Yes?" And he says, "Excuse me, Professor Freeman. What are we supposed to be memorizing? Where are the facts and dates?" [laughs] So as a new professor my first impulse was: Darn! I forgot the facts and dates. [laughter] I got it wrong. [laughs] But actually, the fact of the matter is, they're not the star of the show. Certainly, dates are not the star of the show. There are dates you're going to have to remember so don't think Easy Street; there's not a date I have to know. There will be some dates, but this isn't a story about dates. It's obviously something a lot more interesting and a lot broader than that. Okay. Avoid fact bubble.

Joanne Freeman "American Revolution" | Lecture 1 Introduction: Freeman's Top Five Tips for Studying the Revolution
Obviously, excessive memorization didn't keep these students out of Yale.

I'm sure there's a reason for that, the reason being that excessive memorization actually helped.

And here is Daniel Willingham:  prior knowledge & working memory in 1 paragraph

Friday, November 30, 2012

by heart

Speaking of knowing things by heart, when did that expression disappear from common usage?

We know it by heart. A lovely metaphor.

These days any and all discussion of remembered knowledge involves obligatory reference(s) to "spitting," "vomiting," and/or "regurgitating."

I swear, if I have to read one more person saying that "spitting back knowledge" isn't "thinking critically," I will do some copious regurgitating of my own.

Thursday, August 2, 2012

onward and upward

from Education Week:
For years, bands of educators have been trying to free history instruction from the mire of memorization and propel it instead with the kinds of inquiry that drive historians themselves. Now, the common-core standards may offer more impetus for districts and schools to adopt that brand of instruction.
Published Online: July 30, 2012
History Lessons Blend Content Knowledge, Literacy
By Catherine Gewertz
I bet Ed's going to be happy to hear that.

For the record, Ed is not keen on memorization in history classes, either, although his views on that score shifted steadily as Chris went through school. I remember Ed once telling a friend of ours, "I used to want schools to drop AP courses. Now I want Chris to take as many AP courses as he can possibly manage."

That was pretty funny.

Have I mentioned that Ed was one of the people who invented the DBQ? He doesn't like my saying that because he thinks it's entirely possible someone else invented the DBQ before his group did, but I don't think that matters. If Ed and his colleagues didn't invent the DBQ, they re-invented it, which is good enough as far as I'm concerned.

Good enough or bad enough. I remember back when Chris was coming home with one DBQ after another ... in 4th or 5th grade ... which was the first time I heard Ed had been involved in inventing the damn things. Thanks, hon!

Hoist by your husband's petard.

Saturday, July 7, 2012

define "lesson"

more from the Times:
Last month I asked my students to take a pro or con position on the topic of genetic engineering; one student vociferously announced, “I completely disagree with it. We don’t know how it’s going to affect us in the long run!” The boy next to her replied, “Ally, they use genetic engineering to manipulate bacteria to make human insulin. I’m diabetic; that insulin keeps me alive.” Other students thrust their hands into the air anxious to share their point of view, while others simply blurted out their ideas – our classroom was intellectually alive and I was the moderator.

When asked why they were so engaged in the lesson one student replied, “It affects our future. We want to help build it.”

The other students clapped in agreement.
What is a good teacher worth?
Ok, number one: No actual teenaged person ever spoke the words "They use genetic engineering to manipulate bacteria to make human insulin."

No adult ever spoke the words "They use genetic engineering to manipulate bacteria to make human insulin." Not unless the adult was giving a lecture from notes.

"They use genetic engineering to manipulate bacteria to make human insulin" is not the way people talk.

Number two: No teenaged person ever said "It affects our future. We want to help build it," either.

Number three: Structurally speaking, the student who has diabetes is given the last word, which means s/he wins the point. I object. If this isn't a class where 'critical thinking' means 'adopt politically liberal positions re: science policy,' then both the discussion and the paragraph need to be handled differently. I.e.: some contrarian points of view need to be raised by the teacher.

Or maybe students could, you know, read something about the precautionary principle before they get so fired up they're thrusting their hands into the air and blurting out their ideas.

Which brings me to Number four: How is a bull session on genetic engineering a "lesson"?

(And, just out of curiosity, how does a bull session on genetic engineering, absent any engagement with the literature on the subject, help build the future?)

update 4:28pm: High school students preparing for a debate.


again with the critical thinking

Well, thanks to Texas Republicans including the words "critical thinking" in a statement no one outside a tiny group of public school obsessives actually understands (or cares to understand, apparently), we now have precious NYTimes real estate going to the celebration of non-memorization in schools.

Here, courtesy of the Times, we have the thoughts of a recipient of the Presidential Award for Excellence in Math and Science Teaching and the Distinguished Fulbright Award in Teaching:
I’ve worked for many years with students of varying demographics and learning abilities and what I’ve learned over and over is that nearly all kids love to learn – even those who would like us to believe they hate school. But what they need from their education is more than the memorization of facts – they need great teaching, foundational knowledge, problem solving skills, and the understanding of current issues.

What is a Good Teacher Worth?
By ANDREW C. REVKIN
July 6, 2012, 10:03 AM
So they're going to acquire "foundational knowledge" but they're not going to memorize any facts. Or not many.

How exactly do you pull that off?

And please don't tell me 'they construct their own knowledge.'

Speaking as a writer, I have constructed knowledge any number of times -- and then promptly forgotten what it was I constructed. For nonfiction writers, forgetting your own ideas is a common occurrence and an occupational hazard. That's why writers keep notebooks.

I do recall, I think, Willingham once saying that we remember knowledge we've figured out for ourselves somewhat better than we do knowledge we've been told by someone else. Assuming that's the case, I surmise that the mechanism is the amount of time you spend trying to figure something out, which amounts to a form of practice or rehearsal as well.

I know for a fact that 'discovering' and 'constructing' your own knowledge is absolutely no guarantee that you will recall your own knowledge later on.

Not even close.

There's only one route to Carnegie Hall.

instructivist weighs in
think