Twenty Years and Closing


The Closing of the American Mind was written by Allan Bloom some 20 years ago. I’ve just got round to it now. Much of it lacked interest for me. I did not find Bloom’s speaking on behalf of American university students, their parents, women or minority groups worthy of much attention. A good deal of the book is taken up by Bloom’s presentation of what others think and want, only to be knocked down as straw persons. I chafe against this sort of polemical exercise.

I found a strange patchiness in the book. Bloom’s influences are almost entirely European. One African, Augustine, and only two Asians, Jesus and Buddha, deserved a mention in his book. And nobody, anywhere, who lived between the early Christian era and the time of Descartes – some 1,200 years of history - is discussed. Even though the university, the institution that Bloom is determined to save, is a product of this era.

Something else that grated was the discussion on the prevalence of the notion that ‘truth is relative’ in the university – a central part of his critique. I think there is absolute truth, but it is tautological, trivial, or irrelevant. If Bloom thinks there is meat on those bones, why not simply write down the absolute truths once and for all and have done with it? Deconstructionists get a lot of the blame for the spread of relativism. Many years ago, out of curiosity, I signed out a copy of J. Derrida’s magnum opus from the library. I didn’t get much further than a few paragraphs, but I understand from those who have finished his work that it can be summed up in a few words as “there is no final reading of any text.” A very reasonable conclusion in my view, though it obviously opens the door to such conservative-rankling abominations as feminist re-readings of The Declaration of Independence etc. To me, this is mind-expansionary and Bloom’s dismissal of such efforts is evidence of a closed mind.

I agreed with much of his discussion of the problems of university education. Bloom taught at several of the world’s top-ranking schools - Cornell, Chicago. I attended the University of Toronto in Canada, where Bloom had taught as well. It was not a very satisfactory experience. I was surrounded by a lot of very clever people, and I enjoyed that, coming from a rather isolated rural background, but I felt adrift. Sitting in a lecture hall with 200 other students while the professor copied sections of the calculus textbook on the board was profoundly disheartening. I did have some good experiences in the classroom, but they seemed to have arisen more out of blind luck than anything else. Towards the end of my career there, I came to the conclusion that the university was geared to the education of graduate students, and undergraduates were to be processed rather than educated. When Bloom taught at Cornell, the campus was in uproar over the struggle for civil rights. This is covered in exhaustive length in The Closing of the American Mind. At around the same time in Toronto, students illegally occupied the massive newly constructed Robarts Library (aka Fort Book) which was to be used only by graduate students and faculty and closed to undergraduates. Thanks to those efforts I could use the library, but I had no idea just what was on offer. If the university made any attempt to educate new students on how to best exploit the vast resources on hand, I wasn’t aware of it.

I have nothing against graduate schools, schools of dentistry or law, and so on, but Bloom and I were looking for a place to educate the leaders of tomorrow. I’m surprised he devoted himself throughout his entire career to teaching in expensive, high prestige institutions like Cornell – those that he found so unsatisfactory. I have thought that personally, a smaller college might have been more rewarding. Or that Bloom, as an American conservative, would have gravitated to military academies like Annapolis. For someone who holds up the death of Socrates as a model, his kvetching over career choices doesn’t sit well. And speaking of death, his own – secretly dying of AIDS in 1992 – well, Rock Hudson had publicly acknowledged the disease before he died back in 1985. A heroic death in its way; one that Bloom did not live up to.

http://www.amazon.com/Closing-American-Mind-Allan-Bloom/dp/B00150GHF6/re...

http://en.wikipedia.org/wiki/Allan_Bloom

--

Nothing resembles virtue more than a great crime. Saint-Just

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U of T (#103170)
by AndrewSshi

Okay, I think that I'm about to throw away my patina of anonymity, but I have to comment.

I've only seen U of T as a graduate student, but it always seemed to me that it would be far less alienating to an undergrad than an American state university is. After all, at U of T you have the college system, which I would think would keep you from feeling as though you are a cog in a 60,000 student machine. My undergrad was in an American state university, and I would have dearly loved to have what U of T undergrads have, namely a way to feel like they're part of a smaller group of people than the enormous university bureaucracy.

You've also got a strong advantage over the American state university in that there's a certain caliber of student who in the U.S. would wind up in a prestigious northeastern university or midwestern liberal arts college where all of the students are either fearsomely smart or richer than God. As Canada tends to lack private universities, the really smart kids go to a big university and provide something of a leavening effect to classes full of a lot of mediocrities. It certainly makes things quite rewarding for a TA to run across flashes of absolute brilliance after slogging through a stack of semi-literate garbage.

So, yeah, U of T is strongly research-oriented, but it's got advantages that it's south of the border counterparts lack.

a Jew in University (#103226)
by Micky Love

Well, I lived off-campus so the college system never meant much to me. I did know a Jew in University College, but I also knew a Buddhist in Trinity and a protestant in St. Michaels.

I think you have the makings of a great TA. You have mastered the English language and can use it to communicate your thoughts. That is something I found I could not take for granted in my TAs as a UofT student.

--

Nothing resembles virtue more than a great crime. Saint-Just

uh... (#103236)
by vinteuil

...wha-huh?

"a Jew in University?"

--

God help the while, a bad world I say.

some small degree (#103238)
by Micky Love

Trinity College was set up by Anglicans, St. Michaels College by Catholics, Victoria College by Methodists. University College, as with its namesake in London, England, was established as a secular institution, and Jews naturally gravitated towards it. This was especially so in the 19th Century and continues today to some small degree.

--

Nothing resembles virtue more than a great crime. Saint-Just

U of T is still graduate student land (#103171)
by BlaiseP

I had the privilege of visiting Massey College, which is a sort of academic paradise. Robertson Davies (once Master of Massey College) described it fairly accurately in his book The Rebel Angels, giving it the title Ploughwright College. Trinity, across the street, he dubbed "Spook", the College of St. John and the Holy Ghost.

Massey is Definitely (#103172)
by AndrewSshi

Grad student paradise. Which is why the folks who are in Massey College tend to have their own alternate social circles even when non-resident.

Of the many failures of the Academy, (#103158)
by Punditus Maximus

attempts to teach calculus, likely humanity's most impressive single intellectual achievement and a body of knowledge which fundamentally alters a person's relationship to their environment, in lecture hall format -- has to be among the most cruel.

Calculus is tremendously difficult. It requires intense study, peer support, and teachers with strong intuitive capacity to see the roadblocks in front of their students. And there do exist a tremendous number of potential teachers; every math major and the more mathematically talented of the statisticians, economists, engineers, and computer scientists would all be more than capable with a bit of support.

But the rewards . . . one's world moves, irrevocably, away from a series of unexplainable events which can be, through trial and error, vaguely predicted. And into a place of relentless beauty, always explainable using the same profound concepts.

--

It's impossible to debate if people simply hold beliefs that have no grounding in reality.

I don't know if the lecture hall format is to blame... (#103252)
by Soothsayer

...the difficulty of teaching a subject seems to depend more upon the teacher than the setting or anything else, including the subject.

That being said, I really wish more Calculus students had teachers like this guy.

--

"In large states public education will always be mediocre, for the same reason that in large kitchens the cooking is usually bad."~Nietzsche

Awesome link, Soothsayer. -nt- (#103255)
by hobbesist

--

Brevis esse laboro, obscurus fio.

Depends how calculus is taught. (#103165)
by BlaiseP

I introduced a classroom full of sixth graders to calculus, on a bet from the elementary school principal, a friend of mine for many years, now mayor of the town.

I got several surveyor's tapes, a stopwatch and an ancient tennis ball machine and dragged them all out to the soccer field behind the school. A ball would be fired at a particular angle. The boys would be out in the target area, when the ball landed or it was caught, the boy would stand in place, his position measured and recorded. Soon enough, it became obvious the ball was landing in a given area, so I gave them a rough introduction to a Gaussian Boundary, though without the names. Clearly they were landing in around the same area.

Changed the angle, repeated the experiment. Had a little protractor on a stick with a drinking straw on the end, to work out how high the ball went, just as an angle. Added power to the tennis ball machine, the kids independently worked out 45 degrees was the optimal angle for firing balls. Any higher, ball goes higher but not as far away. Lower, the ball doesn't have enough flight time.

Simple stuff I learned in artillery school, single order calculus. Asked the kids to work out all the things which might affect the flight of the ball. Some surprisingly good answers, such as pressure inside the ball increasing weight. Wind, surface friction, little changes in the machine itself.

Demonstrated area under a curve, Rolle's Theorem and dx/dt to the kids. Told 'em all calculus was how the real world worked. Calculus is a description of that real world.

The kids got it.

Screw algebra, it should only be taught in its most rudimentary stages, from thence, integrate mathematics and science, doing the classic experiments from Galileo and Archimedes. Math is always taught from its historical basis, and not from the common sense approach which let the ancients align their monuments to true north and build Stonehenge and the observatories of the Maya.

All this fussing and fretting over integrals and derivatives, frightening the poop out of young children, I explained most mathematicians can't throw a ball so they need to put it all on the blackboard. People don't think in algebra. It's like so much else in education: in kindergarten, the kids are taught they can't draw, in third grade they're told they can't write, in sixth grade they're taught nasty things about science and math which make them feel stupid. There's no discovery to any of it, it's all force-fed to the little darlings.

I should write a book about all this, a proper textbook for small children, who are always doing amateur physics anyway and might actually be interested in such things.

I was never interested in the real world (#103260)
by Micky Love

Calculus is a description of that real world.

I was never interested in the real world. I'm not interested in measuring tennis balls but nevertheless I agree with Punditus Maximus that calculus is an important intellectual achievement for both its beauty and the way it's shaped the way we view the world. I am not a scientist and have no interest in using calculus as a tool. I started my study in calculus among the high-fliers - those interested in careers in mathematics. They didn't even call it calculus, but 'analysis' and we began our study looking at limits, and I delighted in this subtle and paradoxical notion. Soon however, I was overwhelmed in that class and had to drop down into the prosaic 'calculus for scientists' class - tedious, practical and forgettable. Still my little experience among the pros has somehow remained vaguely embedded in my mind ever since.

--

Nothing resembles virtue more than a great crime. Saint-Just

Well, good for you, Micky. Some people love the symbols (#103291)
by BlaiseP

See, you're exactly right, there's a rigor and beauty to this stuff. It's not so much that calculus shaped the world but that the entire universe shaped calculus. Limits are such lovely things, they appear, ghostly and beautiful, almost like theology, as the asymptote tends toward them, never to arrive, yet growing ever closer.

It is a great pity, well, perhaps not, to read that you dropped back into the Calculus for Scientists approach. Mathematics has a beauty all its own, the beauty only mountain climbers know, they who clamber among the highest peaks, over the glaciers and past the bodies of those who did not survive the struggle, to stand at last against the sky, the world below them.

They do not stay long. Mathematicians have a short shelf life. They burn out, my son is burning out already, but he has left his mark already, and not yet 24.

Selah....

"Introduce" calculus to sixth graders... (#103199)
by vinteuil

...and "screw algebra."

Yeah, BP, that's the ticket.

As so often, with you, posting rules simply forbid me to respond appropriately.

Perhaps you should give your views on baroque music another run around the block. It's not as if they could be any *less* edifying.

--

God help the while, a bad world I say.

Heh, heh. Getting a rise out of you is as good as finding a fin (#103213)
by BlaiseP

on the sidewalk. What is your issue with this approach, precisely? Showing a few kids that the real world doesn't neatly fit into y=mx+b and the quadratic formula.

Feel free to respond as you see fit, as the posting rules are not entirely congruent with what you feel. What exactly is your problem here?

My kid was a so-called math prodigy. I spent three grand and got him a copy of Mathematica and Statistica when he was still in high school, and he's largely self-taught. He so quickly outstripped his teachers my wife and I just home schooled him until he went off to university. Fact is, he's not a math prodigy, I taught him math from the minute he could count to ten.

Yeah, screw algebra, Vinteuil. It's worthless in the real world. By the time kids get introduced to algebra, their minds are completely corrupted and they're convinced they're stupid. The stop seeing the swinging pendulums and the arc of the sun, the motion of the planets, the forces of nature, the swirl of the iron filings on the paper as the magnet passes under them. I remember when I learned synthetic division from the same man who had tortured me with the quadratic formula. I stood up in class, deeply angered and said "why didn't you teach us this before instead of making us learn that clumsy equation?" He didn't exactly have an answer.

I remember asking my chemistry teacher why two positively charged protons could hold together in the same nucleus. He sent me off to the physics teacher because he couldn't even explain the Strong Force.

Long since, I learned those that can, do. Those that can't, teach. The plague of dumbasses who emerge from education programs and are sent off to screw up otherwise impressionable children, still full of the wonder of life, still asking questions, still able to thrill to the motion of the moons of Jupiter, seen through the eyepiece of an ordinary telescope, these pernicious pedants trouble me greatly.

I am not surprised they do not trouble you. You're incapable of seeing the world through my eyes, and I through yours, but this I will say in defense of my world view, it's been a great ride, and I don't feel the need to scoff at other posters for putting up a little story about a bunch of sweaty little sixth graders, absolutely thrilled to learn something from someone who cares about knowledge and not merely education.

BlaiseP, I strongly suggest... (#103218)
by vinteuil

that you forward your views on math instruction to the educationists in the Obama campaign.

I have no doubt that they will treat your contributions with all due respect.

--

God help the while, a bad world I say.

Enh, he's right. (#103249)
by Punditus Maximus

That's almost precisely the approach used by summer math camps for middle schoolers, for example.

--

It's impossible to debate if people simply hold beliefs that have no grounding in reality.

"Enh" yourself. (#103307)
by vinteuil

What a joke.

I have actually taught algebra to normal pupils. In fact, I'm pretty good at it.

The idea that they could *seriously* tackle calculus without quite a bit of algebra first is purest b.s.

I mean, really. Calculus without variables?

That's not education. That's entertainment.

--

God help the while, a bad world I say.

Ah. (#103310)
by Punditus Maximus

I think you're overstating what he was suggesting -- Algebra II spends a lot of time on conic sections which are intellectually interesting but not terribly relevant to the average student. I don't think anybody was suggesting that calc come before completion of Algebra I.

I think what was suggested was to demonstrate relevance using trial-and-error calculations for calc much earlier on.

(Please note that Algebra I is taught at 7th grade for some of the honors kids in some schools; hence, those kids show up at math camps in the summers after 7th and 8th grades...)

--

It's impossible to debate if people simply hold beliefs that have no grounding in reality.

Small info note (#103323)
by Macallan

Here all 7th graders (except remedial) are taught Algebra I.

--

“I serve as a blank screen on which people of vastly different political stripes project their own views.”

My Homeroom Teacher. . . (#103350)
by M Scott Eiland

. . .exposed us to it in sixth grade--I had completed the equivalent of Algebra 1 & 2 by the end of eighth grade. I ended up topping out at precalculus as a junior in high school (and rehashing it first year at UCLA). My math talents were just enough to get me pleasingly high scores on the SAT and Achievement tests, but limited enough to make it clear that as fun as I found the physical sciences, I was destined to be a poli sci major at UCLA.

--

Like peas in a pod, you & me. -nt- (#103362)
by hobbesist

--

Brevis esse laboro, obscurus fio.

If BlaiseP had said "screw Algebra II"... (#103315)
by vinteuil

...then I would have (more or less) agreed with him.

I'm told that California is making successful completion of Algebra II a condition for graduating high school.

Madness. Insanity.

--

God help the while, a bad world I say.

Somehow I can see you teaching Algebra (#103337)
by BlaiseP

You'd be a nightmare teacher, the stuff of legend.

I assume you meant nightmare in a positive sense. (#103358)
by tomsyl

Some of the high school teachers who gave me nightmares at the time were in retrospect the best teachers I had.

--

In the land of the blind, the one-eyed man is king.

Posting Rules -nt- (#103353)
by M Scott Eiland

--

No, BP... (#103344)
by vinteuil

...I think you probably can't.

--

God help the while, a bad world I say.

We are finally completely agreed. (#103327)
by Punditus Maximus

That is beyond stupid.

--

It's impossible to debate if people simply hold beliefs that have no grounding in reality.

Screw Algebra II (#103317)
by hobbesist

Amen, amen, amen. My H.S. Algebra II class was, flat-out, the hardest course I've ever taken.

--

Brevis esse laboro, obscurus fio.

Really? (#103339)
by TXG1112

I wont describe the graduate level theoretical fluid dynamics class I took my junior year in college.

The Navier-Stokes Equations are the most complicated math I ever tried to work with. I got a C and I was grateful.

--

---
I will not be pushed, filed, stamped, indexed, briefed, debriefed, or numbered. My life is my own.

I'm not saying there aren't harder classes (#103340)
by hobbesist

--that would be stupid--I'm just reporting my experience. Draw what conclusions you wish about my innumeracy.

--

Brevis esse laboro, obscurus fio.

Didn't mean to imply judgement (#103349)
by TXG1112

Sorry if that's how it came out. That is what I get for posting quickly. I guess I was surprised that algebra would be the most difficult class for anyone. I suppose that says more about me than you. I found some of my lit classes torturous, and failed freshman HS English, but that is why I got an engineering degree and not one in liberal arts.

Having taken many years of math I've never really thought of it as beautiful, as some posters have described. Some of it is very interesting, and much of it is useful but for me it is largely a tool.

There is some very ugly math in this world, and the Navier-Stokes equations are up near the top of that list.

--

---
I will not be pushed, filed, stamped, indexed, briefed, debriefed, or numbered. My life is my own.

I didn't mean to come off as defensive. (#103363)
by hobbesist

And I didn't take your comment to be at all demeaning or mean-spirited. While I'm not innumerate, exactly, I did run up against the limits of my abilities in math pretty decisively by the end of high school. (Having a brother who's a mathematician also helps one put one's skills in perspective, shall we say.)

I can't even remember enough of the subject matter to tell you what it was that gave me so much trouble in Alg II, either; part of it was certainly the sadistic taskmaster of a teacher I had (and I mean that, sincerely, as a compliment). But I've never worked so hard for a B- in my life.

--

Brevis esse laboro, obscurus fio.

After I re-read it, I thought it might seem insensitive (#103377)
by TXG1112

I failed HS english because I hated the teacher. That 'll show 'em, except it only forced me take a summer class. At least I managed to get an A the next time around.

I had one of those taskmaster types for Calc 1 and 2 in college. Both his methods and tests were brutal, but you learned calculus. He never let us use calculators, but also never made the test answers come out to even numbers. We were expected to perform the operations on whatever ugly fractions turned up while we solved the problems longhand.

--

---
I will not be pushed, filed, stamped, indexed, briefed, debriefed, or numbered. My life is my own.

The higher levels of algebra... (#103321)
by vinteuil

...are incredibly beautiful. But demanding of high-schoolers that they master algebra II is like insisting that they appreciate the music of Webern.

It's just not gonna' happen.

--

God help the while, a bad world I say.

As a requirement (#103325)
by hobbesist

... I find it simply incomprehensible. While I suspect my experience might've been rougher than most (the teacher used it as a weed-out class for his AP Calculus class; for students who were allowed to take the latter--not me, for sure--not scoring a '5' on at least the AB test was simply unheard of), even in a less intense form--well, it just doesn't make sense.

--

Brevis esse laboro, obscurus fio.

This is in my reading pile (#103138)
by Sulla

once I get around to it I'll have to dig your diary up again. But it will be awhile.

--

"That Sam-I-am! That Sam-I-am! I do not like that Sam-I-am!"- Dr. Seuss

an audio book (#103223)
by Micky Love

There's an audio book available here. I confess I never read the book.
http://thepiratebay.org/tor/3908478/Audio_Book_-_Bloom__Allan_-_The_Clos...

I'm not illiterate; for the record I'm now re-reading (in a real paper book) Graham Greene's Burnt-Out Case. It's a short novel and usually passed over by the critics, but I think it's my favourite of his. Despairing architect seeks oblivion in a Congo leprosarium.

--

Nothing resembles virtue more than a great crime. Saint-Just

He might've been happier in Annapolis (#103115)
by hobbesist

... but my guess is it would've been St. John's College*, not the Naval Academy, that would've been the better fit. (Although if Ravelstein didn't take too many liberties on this score, Bloom did get a thrill from proximity to power--so UChicago makes some sense.)

Of course Closing is a polemical work, but I also remember it as a paean to a form of education toward which the modern university has become hostile. I found it terribly endearing on that score, and more than a little compelling.

*Home for a time to Leo Strauss himself, as well as his friend (and author of the excellent Greek Mathematical Thought and the Origins of Algebra and an indispensable commentary on the Meno) Jacob Klein.

--

Brevis esse laboro, obscurus fio.

a godsend (#103257)
by Micky Love

I have heard about St. John's College and had a friend who wanted to enroll. For a Canadian though the place seemed outrageously expensive.

I felt like there was a tendency to fetishize the Great Books. It is their content, after all, that is of note. It would probably take me a lifetime to plough through that curriculum (and I still wouldn't get to read Joyce or Sterne or anything written since the 1950s, scientific or literary.) At least students aren't required to read anything written by engineers - that's a godsend.

http://en.wikipedia.org/wiki/St._John%27s_College%2C_U.S.

--

Nothing resembles virtue more than a great crime. Saint-Just

I regret (#103259)
by hobbesist

... not sucking up the loans and going there myself. Oh well.

I can't say for certain whether they fetishize the "Great Books," and since the alums I've known from there have been grad students in the humanities all, I'm not in a good position to judge whether students are ill-served by the absence of anything recent. It's certainly not what one normally thinks of as a practical college education.

--

Brevis esse laboro, obscurus fio.

One more reason (#104292)
by Sulla

why I was born 200 years too late. A classical style primary education would have really appealed to me, instead I got the practical type that really didn't interest me and I just went through the motions rather than applying myself. Live and learn I guess.

--

"That Sam-I-am! That Sam-I-am! I do not like that Sam-I-am!"- Dr. Seuss

I feel your pain, Sulla, but (#104306)
by hobbesist

... I try to console myself with the thought that 200 years ago, I probably would've led a life of labor and subsistence.

--

Brevis esse laboro, obscurus fio.

What I fail to understand (#104313)
by Sulla

is why I wasn't given a choice. Granted, having grown up in a rural community my options were limited for a whole host of reasons, but we still have a one size fits all model for public education and just as a classical education is not suited for everyone neither is the practical one.

--

"That Sam-I-am! That Sam-I-am! I do not like that Sam-I-am!"- Dr. Seuss

Speaking as someone who is a product of many (#103117)
by mmghosh

influences, I would tend to say that meaning is often a function of one's influences in teenage years/twenties. I still have to consciously think against what I consider prejudices implanted at that age. And Bloom is very much a prejudice implanter.

My twenties (#103123)
by hobbesist

... will be over in a few weeks, so I plan on taking an exhaustive accounting of my accumulated prejudices then. But for now, I'll enjoy my status as ein Freidenker ; ^ D

--

Brevis esse laboro, obscurus fio.

As your responsibilities multiply, (#103127)
by aireachail

you oughta find a way to get paid to denk.

--

Excess on occasion is exhilarating. It prevents moderation from acquiring the deadening effect of a habit. - W. Somerset Maugham

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