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1024core 5 days ago

> Only the University of Maryland and Johns Hopkins University were willing to welcome her straight into a doctoral program. She’ll start at Maryland in the fall. When she finishes, it will be her first degree.

Jeez... what a damning indictment of today's Universities.

She could just use her publication as a dissertation and be done with it!

TrackerFF 5 days ago | parent | next [-]

I see your point, but undergraduate degrees should provide a wide foundation, with little specialization. As you progress to a masters degree, you become more specialized. A doctorate is as specialized as it gets.

It is entirely possible for people to intensely focus on a very, very narrow thing - and ignore everything else. Even to such a degree that they can write a doctorate on it.

But I don't think that's a good excuse to make them forego other curriculum, especially if it is required for other students to take. Schools have a responsibility to educate people to a certain standard, and give them some general breadth.

getnormality 5 days ago | parent | next [-]

The woman is not being "made" to do anything. She's already world-class at math and wants to maximize the impact of her specialized talents, so she's going straight to PhD.

I don't think we need to nanny people who break the mold with extraordinary talents to conform to some generic correct educational sequence. They've proven they know how to make something of themselves and their own ideas should count for more.

TrackerFF 4 days ago | parent [-]

Imagine if every AI researcher out there was allowed to skip even the most fundamental philosophy class(es).

I don’t know about you, but exposing these prodigies to some shared classes is not all that bad. Personally I think every student should be forced to take a class on ethics.

3 days ago | parent [-]
[deleted]
amradio1989 5 days ago | parent | prev | next [-]

I'm not sure higher ed's educational philosophy is serving students all that well. The breadth of education is a shallow survey at best that is quickly forgotten exactly one semester later.

Thankfully the workforce has common sense and will happily snap her up into employment.

neuronexmachina 5 days ago | parent [-]

> The breadth of education is a shallow survey at best that is quickly forgotten exactly one semester later.

Your own experience isn't generally applicable. Although it was a couple decades ago, I still use various things I learned from my non-major classes pretty much daily.

sreekotay 5 days ago | parent | prev | next [-]

Most of that you can get with diligence in high school and a smattering of College classes as HS junior/senior IMHO.

thrawa8387336 5 days ago | parent | prev | next [-]

No, that was the purpose of high school. As not practiced in public schools, as not practiced in the US

998244353 5 days ago | parent | next [-]

No, it's both.

The purpose of high school is to give you a wide foundation on everything.

The purpose of an undergraduate degree (in math) is to give you a wide foundation (in math).

In a (math) PhD, you are generally hyper-specialized in a very, very narrow area (of math).

griffzhowl 5 days ago | parent [-]

Although the end goal of a PhD is a specialized thesis, the first couple of years generally involves courses with a wide coverage of analysis and algebra at the graduate level.

Given her achievements, I'd be very surprised if Cairo hasn't already covered the material in an undergrad degree

MangoToupe 5 days ago | parent | prev [-]

This is the entire premise of a liberal arts education. Not everyone pursues one, but it's certainly well-represented at the tertiary education level.

susiecambria 5 days ago | parent [-]

I've not studied this, but my guess is that the liberal arts education as the foundation is necessary to allow young people a chance to figure out who they are. I certainly found this to be true for me and would guess for my closest college friends.

If a young person is exceptional, do we force them into a liberal arts box? Surely there is value in literature and history. But this one young woman had found her passion. I have to believe that is she found out about something else, she would take that on.

MangoToupe 5 days ago | parent [-]

Maybe. What interested me at 17 certainly does not interest me now.

wiredfool 4 days ago | parent | prev | next [-]

You say that like it’s a universal thing. It’s much more of a Liberal Arts thing, which is much more prevalent in the US then in Europe.

Izikiel43 5 days ago | parent | prev | next [-]

> especially if it is required for other students to take

How many of the other students disproved 2 conjectures in advanced calculus that were open for decades?

dvrj101 5 days ago | parent | prev [-]

> It is entirely possible for people to intensely focus on a very, very narrow thing - and ignore everything else.

sounds like Phd

thechao 5 days ago | parent | prev | next [-]

In my teens I worked with the statistics department at UTMB. That had a cast of characters there; many profs in the 70s and 80s, who'd gotten their degrees before WW2. A number of them had schooling of the form: Start school at 9-10, do 5 years of public school, got to a 1 year prep, do a year or two of college, do a two year PhD. Most of them had their PhD's by 22.

skeptrune 5 days ago | parent | prev | next [-]

I think the biggest flaw with higher education today is that we're pushing people into doing undergraduate degrees who are already well beyond coming out of self learning from high school or other experiences.

Aurornis 5 days ago | parent | next [-]

The number of high schoolers who might be ready to go into postgrad programs is very small.

There is no way this could be the “biggest flaw” in higher education today because the number of people possibly impacted is so tiny.

Although I think you’re striking at something that is a real problem with undergraduate degrees today: Many universities have become so watered down and softened that students spend the first 1-2 years doing what they should have been learning in high school.

My friends who still teach at university constantly complain about students arriving for undergrad with very poor writing, communication, and listening skills.

conorbergin 5 days ago | parent | prev | next [-]

Very few people are too “advanced” to be challenged by a sufficiently difficult undergraduate degree, ridiculous thing to say imho, I went to a UK university this decade and I can give you a laundry list of issues more significant than “exceptional students being slowed down”.

TheOtherHobbes 5 days ago | parent [-]

This woman is undoubtedly exceptional. But we don't know how exceptional, because she's an outlier, educated using different methods.

We have no idea how many other people would achieve something similar with a similar background. Personally I'd bet almost anything it's a larger number than most people expect.

I'd also be surprised if she doesn't already have a pretty solid background in undergrad-level math.

The irony is she's actually more typical than not. Universities in the past were open to giving unusual talents special treatment.

Historically, the idea that everyone must follow the same path on the same timetable is unusual.

ghssds 5 days ago | parent [-]

> everyone must follow the same path on the same timetable

We are livestock for corporations, that's why.

contravariant 5 days ago | parent | prev | next [-]

To the right people a university education can be an asset rather than a barrier to entry.

jonhohle 5 days ago | parent | prev [-]

That’s one of the biggest problems? Not pushing people into higher educational programs with little societal or economic value but huge loads of debt?

franga2000 5 days ago | parent | next [-]

The debt part is just a US thing, but the rest of us still have the other problems.

WrongAssumption 5 days ago | parent | next [-]

Not remotely true, and the US isn't even the worst. Students in the UK graduate with more debt.

globalnode 5 days ago | parent | prev [-]

australia copied the US in that regard. they used to say we were the 51st state but i dont even think we qualify as that... a territory perhaps?

strken 5 days ago | parent [-]

Australia's debt is in the form of HECS/HELP. It's indexed to inflation, and integrated into the tax system such that it's only repaid on income over a minimum threshold. The first threshold is 1% of income above $56k. The last threshold is 10% of income above $166k.

My understanding is that US student loans accrue interest at rates above inflation. They do have repayment plans based on income, but because the interest rate is higher than wage growth, the debt just keeps growing if you're on these plans. They also don't have progressive thresholds like we do and the repayments tend to be higher.

Australia has a similar but less severe problem. Inflation and wage growth are closer together but they aren't the same. Still, the situation in the US seems worse.

skeptrune 5 days ago | parent | prev [-]

I think research and higher education does have value for the most part. It's undergrad that's really worthless and something people only do for the experience.

psyklic 5 days ago | parent | next [-]

Undergrads who care about learning and research will take the most challenging classes, do research with professors, and surround themselves with other strong students who will push them.

Even at top universities, very very few freshmen are capable of doing high-quality research immediately. They'd be better served learning the foundations inside and out with a cohort of similarly strong students to challenge them.

cge 5 days ago | parent | next [-]

To agree with you: I've worked with several really brilliant undergrads doing and publishing great research. But all of them were rightfully undergrads. Even if they were actually capable of doing great research, they benefited from the breadth.

If you have bright enough undergrads, you change the curriculum for them within their field of expertise, so that they still get the breadth of things outside it while not wasting time with things they know. You let them not take as many classes, take graduate courses, do more research, take more courses from other departments in related areas but with different perspectives, and so on.

When I was an undergrad, in physics, there was a professor in the department who had done his undergrad there and was legendary, as was quietly mentioned in awe, for not taking any undergraduate physics courses while there; the department had let him skip all of them, and instead take graduate courses and do research.

skeptrune 5 days ago | parent | prev [-]

If you do research during your 4 year undergrad. You shouldn't have been undergrad. It's really that simple.

psyklic 5 days ago | parent | next [-]

I'm not sure that's a simple argument and can't imagine many would agree.

Undergrads who do research generally aren't very good at research yet. A major reason is they either lack or don't fully understand the pre-reqs, which they progressively and cumulatively learn during undergrad. A student can be incredibly smart, but acquiring a strong rigorous math background will still take years.

dh2022 5 days ago | parent | next [-]

About pre-reqs: third and fourth year PureMath classes at UofWaterloo consisted of math I already took in HighSchool in Romania: group theory, ring theory. Plus some calculus I already read in high school out of curiosity: measure theory and the Lebesgue integral. Another Romanian guy at UofW was auditing 4th year classes while in his first year (he is now a math professor at an American university)

I can see a committed and gifted student being able to get most of the pre-reqs for doctoral studies in America or Canada while in high school.

skeptrune 5 days ago | parent | prev [-]

Working on that skill and ability is the entire point of postgrad. If those are the skills you're working on then you should be in a postgrad program.

psyklic 5 days ago | parent [-]

If you don't know the foundations well, you don't belong in a postgrad program. That's the reality and how it currently works. Undergrad teaches you those foundations.

Anyone can try doing research, even undergrads who half-know the foundations. However, trying research doesn't mean you have the background to do great research or to succeed in a postgrad program.

skeptrune 5 days ago | parent [-]

Let me ammend my statement. *"Anyone who succeeds at publishing research deserves to be in a postgrad program."

Plenty of people in postgrad programs don't know the foundations. It's ok. You are there to learn.

Completely unfair to expect someone already doing research to slog out 4yrs of classes not furthering their career.

saagarjha 5 days ago | parent [-]

You can definitely do research in an area without having a good background on other topics.

Quekid5 5 days ago | parent | prev [-]

People sometimes accidentally do research. I'm not joking.

xp84 5 days ago | parent | prev [-]

Indeed. I've long felt that most undergrad students would be better served by a typical college minus the formal classes. Basically dorms and all the other amenities found in a typical college campus, where you mainly gain life skills and mingle with other people your age. Because most people I met at an average 4-year school were there because it's a societal expectation among certain classes, it's less scary than just getting a job and figuring out life completely on your own, and it is 10x-100x easier to make friends at college than just "out in the world." Not on the list: to learn from college classes, which at an average school teach you less than you'd get from a $200 a year subscription to Great Courses Plus or Brilliant. Or free from Khan Academy.

I know a few very special schools give undergrads access to brilliant minds in their field, but I also have been told that undergrads at those schools are mostly taught by grad students, so I'm not sure that Ivies provide a lot either, beyond the opportunity to hobnob with the legacies that will be running Goldman Sachs in 20 years.

assword 5 days ago | parent | prev | next [-]

> Jeez... what a damning indictment of today's Universities.

There’s a modern phenomenon I’ve been thinking about but have struggled to put a name to.

Everything just becomes so generalized, streamlined that it becomes impossible to operate outside of the pre defined “happy path”.

AI will make this increase 100x as taking humans out of the loop seems to accelerate this process.

ninala 5 days ago | parent | next [-]

Perhaps the term "canalization" fits? Coined by C.H. Waddington, describing the process of forming a chreode in a homeorhetic system. But it doesn't really encompass the "everything becomes overly generalized" concept you mentioned. Rather, it's more about robustness against perturbation of a trajectory in a conceptual space. Christopher Alexander called them 'paths in configuration space'.

willhslade 5 days ago | parent [-]

Object orientation applied to life.

5 days ago | parent | prev [-]
[deleted]
pinewurst 5 days ago | parent | prev | next [-]

The interesting part is that two others admitted her but retracted after "higher-ups in those universities’ administrations overrode those decisions".

Was she not considered properly conditioned?

terminalshort 5 days ago | parent | next [-]

Of course she was, but that's not what this is about. Letting her in proves that the bureaucratic credentials offered by schools are meaningless. The university system in its present form in the US is entirely predicated on the fiction that those credentials actually mean something and are worth paying six figures for.

MathMonkeyMan 5 days ago | parent | prev [-]

"I'm in charge, I enforce the rules, I'm a big deal."

Aurornis 5 days ago | parent | prev | next [-]

> Jeez... what a damning indictment of today's Universities.

> She could just use her publication as a dissertation and be done with it.

I’m not suggesting this person is doing anything fraudulent as she seems quite impressive.

However, educational institutions get constant requests from parents who want their children to skip far ahead before they’re ready. It’s a competitive world and they know that being able to claim a child skipped several grades or even skipped undergrad entirely is a unique and very impressive achievement for the resume. It also theoretically provides a few additional years of earning potential by giving a career head start.

The first problem is that many of these parents (again, no accusations for this specific case) see this and want to make it happen for their child at any cost. There are some wild stories about parents trying to cheat their kids forward or falsifying their accomplishments to try to skip grades.

The secondary problem is that it can be hard on kids to be thrust forward so far past their peers. I had several friends who skipped a grade in middle school and most of them didn’t have a great experience for social reasons. Skipping undergrad altogether would thrust someone into a foreign world with a lot of baseline expectations and norms that they hadn’t yet learned, combined with no peers their age to discuss it with.

It creates a high chance for burnout or failure, which could leave them worse off than when they started.

That’s why the recommendation is generally to do undergrad at a challenging institution that allows students some upward mobility in specific areas where they’re ahead. No reasonable undergrad program is going to have this person taking Algebra 101, but there are a lot of opportunities for them to jump right into advanced programs and go deep and broad.

throwaway81523 5 days ago | parent | next [-]

IIRC Erik Demaine was also homeschooled, skipped college, got a very early PhD, and joined the MIT math faculty as a teenager (he is a full professor there now). Johnny von Neumann OTOH went through a "normal" secondary education partly because his parents wanted him to have traditional social exposure to kids his age while he was growing up. His math training was very accelerated though, and he had professional level research publications at 17.

fn-mote 5 days ago | parent | prev [-]

Clearly the correct method is: publish your “dissertation” first, then apply for admittance to the PhD program.

general1726 5 days ago | parent | prev | next [-]

Hey, you are not getting your degree without paying for it.

JohnKemeny 5 days ago | parent | prev | next [-]

> She could just use her publication as a dissertation and be done with it!

The purpose of a PhD is not writing a dissertation. It is a research school, and I'm sure she could still learn a thing or two about research (and teaching).

whatshisface 5 days ago | parent | prev | next [-]

Two out of ten is pretty good for anything involving individual decisions, just ask any salesperson.

TheRealPomax 5 days ago | parent | prev | next [-]

Conversely: if that's all it takes, there is no point in going to University just to get a piece of paper that says "you did the thing you already did".

University (for folks serious about continuing in academia after) is (obviously) about making sure you have the same base knowledge as everyone else, but also for you to come to terms with how academia actually works, who the bad players are, who the good players are, and who you need to know to get shit to happen for you. So in that sense, most Universities going "no" is literally the most accurate reflection of what life's going to be like on a continuous basis on the inside.

paulpauper 5 days ago | parent | prev | next [-]

I don't see why it would matter. she could quit math now and still be ahead of the majority of mathematician in terms of contributions. The rest is just formalities. I can see her breezing through the undergrad, quals, etc . It would just be a small delay.

rahkiin 5 days ago | parent | prev | next [-]

Normally you have a master of science as well. And for that you require a bachelors. So to do it directly you need to do it all at once?

morleytj 5 days ago | parent | next [-]

In the US a doctorate usually doesn't require a master's, most people go straight from undergrad to phd.

sdenton4 5 days ago | parent [-]

To add slightly more detail: Most research math programs in the US are 5(ish) year 'combined' masters+phd programs. The first couple years are basically course work, seminars, finding your area and advisor, and then the rest is the actual research work. It's not uncommon to leave after the first couple years with a Master's degree.

dragonwriter 5 days ago | parent | prev | next [-]

> Normally you have a master of science as well. And for that you require a bachelors.

Many Master’s programs require Bachelor’s as a prerequisite for admission, and some of the others include a Bachelor’s at some point, but not all do. (The same is true of the Ph.D. and the stereotypically preceding degrees, and also of some professional degrees and Bachelor’s degrees.)

barry-cotter 5 days ago | parent | prev [-]

I have a Master’s and never got a Bachelor’s. Universities can admit people more or less as they please, subject only to the very forgiving scrutiny of accreditation agencies or whatever government department officially supervises them.

throwaway81523 3 days ago | parent | prev | next [-]

There is a story about when Stephen Wolfram applied for a job at AT&T. The HR person asked him where had gone to college. Wolfram confessed that he had never gone to college. Well ok, did you graduate high school? Um no, I'm afraid not. GED? Nope. What about primary school? Wolfram looks more and more more embarrassed, and admits that he didn't even finish primary school. HR person by now is quite uncomfortable when Wolfram manages to think of something. He says "I do happen to have a Ph.D. Does that help?"

Quekid5 5 days ago | parent | prev | next [-]

That's a nice quip, but aren't degrees meant to offer breadth of knowledge? (I'm sure she has lots, but perhaps is weak in other areas.)

JAlexoid 5 days ago | parent | prev | next [-]

This is ignoring the value of the whole education process, that you go through the years at a university.

I disagree that she should skip the general education.

xp84 5 days ago | parent [-]

Thinking about my GE requirements at undergrad, I think it would be a waste of this girl's time to be forced to learn about and write about random subjects that don't interest her. She has but one lifetime, and can contribute much to her field.

The subjects such as English composition, she should be allowed to test out of if she is already a good writer.

com2kid 5 days ago | parent [-]

> I think it would be a waste of this girl's time to be forced to learn about and write about random subjects that don't interest her.

This is a common STEM view, but it is inherently wrong. IMHO it dates back to the unfortunate divide between science and the liberal arts, whereas both were once considered a single field, now days there is disdain and mistrust between the two sides.

The point of history classes isn't to memorize the dates of wars, is it to understand the motivations of humans, it is to understand how the world we lived in has been shaped throughout time, and it is to learn how to do, and understand, research about the history of a place.

The point of English classes isn't just to get good at writing, it is to get good at various types of writing, it is to learn how to read different forms of literature, and it is to have a guided tour through a chosen selection of literature to hopefully develop one's character and thoughtfulness.

One of the most valuable classes I ever took at University was the Art Of Listening To Music. We started off around 500ad or so and went forward through time up until about 1920. We learned the vocabulary of music, how to sit down and listen to a piece of music and describe what we were hearing. After I was done with the class I went from appreciating a handfuls of genres of music to appreciating music itself no matter the genre. It was a 3 credit guaranteed A class that had enriched my life by an enormous amount.

If you really love your major, then the point of going to university was NOT your major, odds are you would've studied that field with or without the school. (Barring fields that require large capital investments, chemistry, physics, playing with an entire orchestra, building airplanes, etc) The point is everything else.

terminalshort 5 days ago | parent | next [-]

But that isn't how it works in reality, at least in the US. In reality, outside of their major (and sometimes inside it too), students usually pick the absolute easiest classes that satisfy the requirements. The ones that are known that the teacher doesn't take attendance are heavily desired. And the university is happy to oblige. Departments are funded based on a formula of how many students are in their classes, and they know that if they gain a reputation for being hard, students won't take their classes for GE requirements. It's a race to the bottom. So most departments offer enormous 1 level classes with 200 students taught with minimal rigor, and where you really only have to study a few days before the final to collect your A. And on top of that the frats all keep collections of graded tests from every class for years past, so basically anyone who wants to cheat is able to do so easily. This isn't education. This isn't worth six figures.

com2kid 5 days ago | parent [-]

> In reality, outside of their major (and sometimes inside it too), students usually pick the absolute easiest classes that satisfy the requirements.

In reality, no one eats healthy food, everyone eats fast food hamburgers all day. Just look at the sales numbers of fast food / junk food VS organic lunch salad bars!

Except, that isn't true. Some people eat junk food all day, and some people choose to eat healthy. Obviously in America we have a bit of a bias, but just looking at averages doesn't give a complete picture.

> The ones that are known that the teacher doesn't take attendance are heavily desired.

Almost none of my university classes took attendance. Why would they? We were paying to be there, if we wanted to waste our money, it wasn't the university's problem.

> So most departments offer enormous 1 level classes with 200 students taught with minimal rigor

Reading books and writing essay's doesn't require rigor, the learning is in the doing. I put in honest work to learn and I got honest feedback from my 100 and 200 level professors, which was all I expected.

> And on top of that the frats all keep collections of graded tests from every class for years past

Almost none of my GE classes used multiple choice tests. They were typically essay tests, written in class.

I should note I did my GE requirements at a local community college, where class sizes averaged ~20-30 students, professors had office hours, and I think I only saw a TA once.

> This isn't education. This isn't worth six figures.

The price is too high yes, but a university is place to go where you can dedicate yourself fully to learning, hopefully w/o other outside worries (sky high tuition ruins that...). What a person chooses to do with that time is up to them.

Now one can argue that the worth of a degree is lessened by students who didn't actually learn all that much also being in possession of one. That is a closely related, but separate topic.

That said, the poster I was originally replying to was indirectly advocating for not caring about one's GE classes, and I was replying that one should indeed care, because those classes are incredibly important!

ykonstant 5 days ago | parent | prev [-]

>One of the most valuable classes I ever took at University was the Art Of Listening To Music.

I also benefited tremendously from such a class. I would recommend it to anyone interested in music, or not interested in music and trying to figure out why others are interested in music.

nurettin 5 days ago | parent | prev | next [-]

> what a damning indictment of today's Universities.

Prodigy skips undergrad -> Universities are doomed? What?

jackero 5 days ago | parent | prev [-]

50% of my college education was general education though.

And frankly I find it just as valuable.