kitchen table math, the sequel: le radical galoisien
Showing posts with label le radical galoisien. Show all posts
Showing posts with label le radical galoisien. Show all posts

Thursday, July 9, 2009

what is a consonant, Mommy?

le radical galoisien writes:
I do sometimes wonder about introducing linguistics topics early. I remember when I first went into it I did wonder often, "so why didn't I learn this in elementary school?" Things like what exactly is a consonant, what exactly is a vowel, or a liquid, and what's the exact difference between [p] and [k] and [s].
I agree.

I think Diane McGuinness makes the same point in her book, though I can't find the passage now: why would you deliberately withhold this knowledge from children?


on French:
I do think an emphasis on sound is helpful when you're trying to teach young children *foreign* languages in the classroom. Take French for example -- if you think English spelling is hard, wait till you see the homophony of French and I know French adults who regularly misspell basic conjugations because they all sound the same.
Yup.


Comment en est-on arrivé là? 4.25.2008
French spelling 11.16.2008
Le scandale de l'illettrisme 9.14.2007
Dyslexie, vraiment? 9.14.2007
French spelling 11.16.2008

Tuesday, April 8, 2008

a great student!

I hope le radical galoisen doesn't mind the title of this post (if he does, I'll change it!)

I've called him (you) a student only because lrg has talked about school & college applications, and because his comment on the Brain Rules fantasy school is an example of what the education world is concerned with these days, which is making connections between what you're reading now and what you've read before.

(I can't bring myself to use the words prior knowledge. Sorry.)

The concept appears sound, observing from the case of a man (I forgot his name) whose hippocampus was almost totally destroyed in a viral attack, though he retained all of his skilled faculties from speaking very sophisticatedly to singing opera (though he had no personal memories).

Now of course, who wants to be the guinea pig?

lrg has jumped to what Medina describes as the main source of evidence for the existence of a 10-year "consolidation" rule (although lrg is actually making a useful point about procedural memory - I'll get to that). lrg is talking about a man named H. M.

Here's John Medina on H.M.:

But the rigor of Ebbinghaus gave future scientists their first real shot at mapping behavior onto a living brain. Then a 9-year-old boy was knocked off his bicycle, forever changing the way brain scientists thought about memory.

In his accident, H.M. suffered a severe head injury that left him with epileptic seizures. these seizures got worse with age, eventually culminating in one major seizure and 10 blackout periods every seven days. By his late 20s, H.M. was essentially dysfunctional, of potential great harm to himself, in need of drastic medical intervention.

The desperate family turned to famed neurosurgeon William Scoville, who decided that the problem lay within the brain's temporal lobe (the brain region roughly located behind your ears). Scoville excised the inner surface of this lobe on both sides of the brain. This experimental surgery greatly helped the epilepsy. It also left H.M. with a catastrophic memory loss. Since the day the surgery was completed, in 1953, H.M. has been unable to convert a new short-term memory into a long-term memory. He can meet you once and then an hour or two later meet you again, with absolutely no recall of the first visit.

He has lost the conversion ability Ebbinghaus so clearly described in his research more than 50 years before.


And here is Medina on the "conversion ability":

...our friend Ebbinghaus was the first to demonstrate the existence of two types of memory systems, a short form and a long form. He further demonstrated that repetition could convert one into the other under certain conditions. The process of converting short-term memory traces [through spaced repetition] to longer, sturdier forms is called consolidation.

[snip]

Memory may not be fixed at the moment of learning, but repetition, doled out in specifially timed intervals, is the fixative.

[snip]

Ebbinghaus showed the power of repetition in exhaustive detail almost 100 years ago. He even created "forgetting curves," which showed that a great deal of memory loss occurs in the first hour or two after initial exposure. He demonstrated that this loss could be lessened by deliberate repetitions.

In a nutshell -- and allowing for the fact that these processes are still not well understood --

  • Memory consolidation means that a memory has moved from short term memory to long term memory.
  • "Moving" from short term memory to long term memory means that a memory has moved from the hippocampus, in the temporal medial lobe, to the cortex.
  • This process takes approximately 10 years.

We know this because H.M., whose hippocampus had been destroyed, lost all of his memories going back 11 years:

If you were to graph his memory, you would start out with a very high score and then, 11 years before his surgery, drop it to near zero, where it would remain forever.

What does that mean? If the hippocampus were involved in all memory abilities, its complete removal should destroy all memory abilities--wipe the memory clean. But it doesn't. The hippocampus is relevant to memory formation for more than a decade after the event was recruited for long-term storage. After that, the memory somehow makes it to another region, one not affected by H.M.'s brain losses, and as a result, H.M. an retrieve it. H.M., and patients like him, tell us the hippocampus holds on to a newly formed memory trace for years. Not days. Not months. Years. Even a decade or more. System consolidation, that process of transforming a labile memory into a durable one, can take years to complete. During that time, the memory is not stable.

Brain Rules by John Medina


On a slightly different subject, lrg is actually talking about procedural memory (how to ride a bike memory), and I'm glad he brought that up. As he says, H.M.'s procedural memory was spared:

Investigators keen to argue for the separability of procedural memory had to look no further than the extensive investigations of H.M. In 1966, Miner reported that H.M. showed a completely normal learning curve on the mirror drawing task and, a little later, Corkin (1968) showed that H.M. learned at a comparable rate to normals on the pursuit rotor, bimanual, and tapping tasks. She also observed the development of “testing habits” whereby H.M. would become increasingly familiar with the testing procedures (knowing how to turn the equipment on, etc.) even though he denied any conscious recollection of having undertaken any of the tasks before. The selective preservation of procedural memory has now been observed in many amnesic patients but the purity of the preservation in H.M. has rarely been equalled.

Classic Cases in Neuropsychology
edited by Chris Code, Claus-W. Wallesch, Yves Joanette and Andre Roch Lecours
p. 342

I'm disappointed to see that John Medina doesn't appear to discuss procedural memory at all. drat! I need someone like Medina to go through 50 years of research, read everything that's been discovered and/or hypothesized about the relationship between procedural, declarative, and semantic memory, and then explain it to me & everyone else.

Tuesday, July 31, 2007

from le radical galoisien - spiraling in Singapore

It is in part due to the flexible module system, isn't it? Sometimes the prerequisites aren't really cohesive ...

My current American high school generally has it to take one science subject per year, and thereby acquire the entire credit for that subject in one year. The next year, another science subject is taken, and so on. [Catherine: true of all high schools in NY state, I would imagine]

I assume this is standard for most American schools. At first, I thought it rather interesting compared to my old schools in Singapore, but now I am questioning their effectiveness. After all, I have not done any real biology for so long, none of the material is fresh in my head, even though I am very highly interested in oncology and so forth. The same applies to mathematics in terms of matrices, which were taught to me three years ago and were only re-introduced recently in calculus class following the AP exams.

It is this that makes me miss the Singaporean system and especially since I worry that I am falling behind my Singaporean friends.

Perhaps the whole problem is the credit-based system. Credit units should not be used until university. Having to accommodate classes to the nature of credits at a secondary level can make the interaction of knowledge between those classes ineffective.

Interesting.

I had never made the connection between credits and a "flexible module" system of curriculum, although I've skimmed a couple of accounts of the Carnegie unit & how it came to be.

So much of U.S. public education seems to be just a series of random "reforms that stuck"*... some Committee of 10, or 9, or whatever number it happened to be at the time, and somehow managed to power its ideas into effect.

Of course, the Committee of 10 isn't the best example, seeing as how the Committee of 10 seems to be the last such committee to promote "traditional academic study."


a boy's will is the wind's will

* Of course, random reforms that stuck may simply be what historians call contingencies, in which case the history of U.S. public schools is no different from the history of anything else... (One of these days I'll learn something about history, possibly after I learn high school math, earth science, chemistry & physics.)