All the remedial classes in one place
professorconfess.blogspot.com
professorconfess.blogspot.com
They “opened the floodgates” to students to maintain enrollment, in the words of a colleague. People who would have been denied without a second thought pre-COVID were admitted. The acceptance rate went from 40%-50% to 80%+. (Numbers are approximate.)
Accepting these students required adding two levels (at least!) of remedial math below what used to be the absolute last resort, “should you really be in college?” remedial math class we had pre covid. These new classes basically taught middle school level material or lower.
Nearly all of the students taking those classes don’t belong in college bc they are totally unqualified to do college level work. It’s irresponsible to admit them, charge them $200,000, then graduate them as heavily indebted but basically high school educated adults. They have no skills.
I can’t make up for their failure to learn math in (as this author correctly says) 5th - 12th grade.
I make this comment to note that the situation hasn’t changed.
Also: to the extent that anyone is looking for villains on student debt (overall the “crisis” is overblown but there absolutely are students who get screwed), blame the universities which admit unqualified students and also the high schools and middle schools which utterly failed them.
Also blame our failure to pay math teachers more than PE teachers. There are a lot of villains. The system is horrible.
Your commentary reads like that, but perhaps I’m misreading your tone & choice of words.
if a student didn't understand a fundamental math concept in an early year (perhaps for no fault of their own -- perhaps an undiagnosed issue impeding learning, or a teacher who didn't know the material well enough to teach it, or too many moves between too many classes and teachers), and the education system passed this student from math class to math class year after year without fixing the knowledge gap, so each year the student fails to absorb the year's new math concepts as they still haven't achieved fluency/mastery with the basics, then after some point it is no longer possible to compensate this with a brief remedial math course designed to plug a 1-3 year gap.
maybe for some folks you'd need to bridge a 5-10 year gap in math education, which could be achieved with customised tutoring perhaps, for 5-10 years. but a remedial course trying to teach a batch of students at once needs to assume some basic level of ability as a pre-req.
Students learn and understand college math more when the classes are contextualized (usually engineering, biology, but you can also use everyday examples). See decades of research on situated learning and related approaches. https://careerladdersproject.org/docs/Contextual%20Approache...
Developmental courses can also be compressed https://blog.careertech.org/research-review-promising-practi...
Dual enrollment saves time and money and improves success. Let high school students take college math courses.
Corequisite remediation is the current best practice. Let students take regular (not remedial) math courses, and improve advising and support. https://ccrc.tc.columbia.edu/easyblog/future-of-corequisite-... https://strongstart.org/resource/corequisite-mathematics-too...
One approach to calculus is to teach it alongside Newtonian mechanics, with lots of experimental work. Those go together.
The problem is, it's too hard for high school teachers.[1]
We learned derivatives for mechanics around the same time as limits for calc. So everything in calc was properly motivated. I think we moved into E&M around the same time as we got into integrals in calc. We had done basic integrals in the mechanics portion of physics, but got into it formally in calculus and into trickier applications in E&M.
IIRC, the class as a whole did very well on the AP exams. I’m often frustrated by courses that don’t offer similar motivation for math concepts. I think it makes the material far more interesting.
I always thought I was bad at math, but it turns out having a teacher who is not your parent with a tenuous grasp on algebra helps a lot. That remedial math course changed my life forever and let me work in a career I love.
I am eternally grateful to the kind graduate student who led that course - John, wherever you are, thank you.
they think it's great to have some basic knowledge in a wide variety of subjects -- history, literature, music, etc. But when it comes to math, they'll just shrug and gleefully say "i'm not really a math person!"
Edit: OP deleted it now, and I wish I saved it, but he originally posted a long spiel on how math is undemocratic because anyone can prove anyone else wrong.
I’m always shocked that people aren’t embarrassed to say that in public.
Aren’t K12 schools teaching “new math” or whatever fad, to students and focusing on teaching to a test due to no child left behind?
I wonder what studies have been done to measure how many students are math deficient in general population.
Furthermore, what are approaches that could remediate such issues?
"Anyone who cannot cope with mathematics is not fully human. At best, he is a tolerable subhuman who has learned to wear his shoes, bathe, and not make messes in the house." -Robert Heinlein
Although the whole "innumerates are terrible" thing appears all over his books.
https://en.wikipedia.org/wiki/Trivium
In contrast, "Quadrivium" - arithmetic, geometry, music, astronomy - was a follow-up.
https://en.wikipedia.org/wiki/Quadrivium
These constituted the "seven arts". But it was perfectly fine just to be educated in the trivia, if math wasn't your cup of tea.
See the "Yes Minister" clip where Sir Humphrey vehemently denies being so low-standard as to be educated in the sciences - he was good enough to study the classics.
https://www.youtube.com/watch?v=ckgt4VWIsf4
(edited for better grammar, logic and rhetoric.)
Personally, I was in the basic math in High school, like long division/multiplication freshmen/sophomore year. When I first went to community college around the age of 16-19 I got farther, taking Algebra I and then II. However, once I reached Calculus I crashed and burned, although I did great in my CS and other science classes.
I eventually entered the work force (programming/tech) and over the next half dozen years tried and failed at least 3 times to restart at community college usually failing at Calculus I or college level english. Finally, at 30 it seemed to take, I eventually passed Calc I, Discrete, Linear, got my degree. A blend of community college and state school so I didn't break the bank.
I have friends from other sides of the world that have told me this would only really be possible in the US. In many places their is no equivalent of community/junior colleges or an attempt at adult remedial education. Instead you place in your teens, and if you score well enough you get to go to college. Otherwise, its trade school or similar and much more difficult to escape your socio-economic class. The author and others seem to be advocating for something similar here under the guise of it being unethical to waste resources or give hope to the dumb dumbs. I can't say I agree...
However, this would have been absolutely impossible in a large class - these students needed individually tailored one-on-one attention for at least an hour each to get the ideas across to them. Some parents can afford to hire such private tutors, some can't.
Also, people seem to have natural affinities for different areas of mathematics, just like people naturally take to different sports. I have no idea of whether genetics plays a role, although clearly in physical sports body types matter - the long-distance runner is unlikely to also be a champion weightlifter, etc. I've also noticed that some people who claim to be 'bad at math' often have good mathematical skills that they don't even think of as math, e.g. combinatorics as applied to playing games like cards or Scrabble.
In the end, mathematics is a hard subject and students who want to master any aspect of it will need at least three hours of study on their own (or assisted) for each hour spent in class listening to an instructor. It's not for everyone, and that's okay.
IMO, the online math resources are better than even an excellent teacher in a class of 50 students.
Colleges want to only let in students who either already know the material, or are motivated enough to teach it themselves. That way the fact that they are providing precious little actual tuition doesn’t matter so long as they continue to provide reasonably good assessment.
This is a common complaint with computer science 101 ‘weed out’ classes where the claim is that they are weeding out people who lack the innate capability to program, but in actuality they are weeding out the people who couldn’t program before they got to college.
Some students struggle with it but I don't think it's the fault of the course or the prof. It's genuinely made to teach students who have never programmed before. Anyone who already knew programming would be bored and unlikely to learn anything they don't already know.
The Freshmen took a math test during orientation and were slotted into either Remedial, College Algebra, or Calculus.
It's my understanding that the curriculum of College Algebra is the bare minimum of topics that must be taught in order to offer the course for credit at an accredited college. This explains why the topics are seemingly drawn at random, with little flexibility.
The lower level "remedial" courses were offered but did not come with credit. You still had to pass College Algebra in order to graduate. Or I think maybe Statistics.
The education system has struggled to teach math since time immoral. Every generation tries some new method, and is ultimately declared a failure. I don't have a good answer. Most adults retain barely any of their high school or college math, including people in STEM occupations. I've heard "I'm not really a math person" from engineers. Parents remember how their math was taught, and complain when their kids aren't learning math the same way, but frankly the parents are terrible at math.
I studied computer and electrical engineering, so we had tons of math heavy physics and math in there.
But since university, I haven’t done anything beyond algebra and statistics. Not for an hour.
And if I were say a product manager, would I have done any algebra since university?
Adults don’t retain math as very few use it with any regularity, and certainly not without calculators.
Same thing happens with literacy. Professions that don’t use reading/writing regularly see the skills of people employed in those roles atrophy.
I'm kind of annoyed when people without degrees and with liberal arts majors are making $400k-$1M in the same job I'm in (when employed), and annoyed at myself for bothering pay the establishment years and $70k for nothing of value.
As a math-adjacent (CS) professor, it was painful to watch my daughter's math experience at her first elementary school. Part of the reason she's not there any more, in fact.
She was indignant that I "wasn't taking it seriously". "What do you mean? I proofread it for you." "You couldn't have even looked! No one can do math that quickly!"
Uhhh...
That was far from the only interaction we had like that. It wasn't a one-time mental fog. I dreaded the fact that one day she'd be teaching our kids.
(This doesn't reflect my general opinion of elementary ed teachers. It's horrid that this lady could have made it as far as being a senior in college. The school was doing her, and her future students, a huge disservice.)
Fuck Cancer.
I was absolutely shocked to hear that his institution was even offering the pre-pre-remedial math at all (back in 2013).
"There’s a huge issue of integrity in the pre-sub-remedial course. If you’re teaching 3rd grade material to an adult, you consider that adult to have the cognitive skills of an 8 year old at best. There’s nothing wrong with trying to improve education and learning, but at some point, someone should think “This student didn’t learn this in 3rd, 4th, 5th, 6th, 7th, 8th, 9th, 10th, 11th, and 12th grade. Maybe he doesn’t want to learn this and we shouldn’t loan him money to learn it.” Failing that, admissions should think “Maybe loaning this person money that goes right to us would be taking advantage of someone with a mental disability and it would be not be acting with integrity to do that.” So far, these possibilities have never been raised at any meeting concerning remediation, and administration continues to sell these courses to anyone willing to go into debt to take them."
He's not wrong at all here. To me, giving that person a obviously impossible to pay back loan is immoral. Since it's been about 11 years and a pandemic later, I'd assume that the fed either patched this up and it's not able to be done this badly now, or that straight up illiterate people are getting in now too.
The link that works for me is: https://obits.theadvocate.com/us/obituaries/theadvocate/name...
The obit asks for trees to be planted in his honor here: https://sympathy.legacy.com/en-us/funeral-flowers/productdet...
Why/how does that follow?
The only way that works in a low tier state school is that admissions officers are relaxing academic standards.
I can think of so many exceptions to this that I have personally encountered. Its usually because of poverty or home schooling and often isnt the fault of the student. I know someone that is far more intelligent than I (I went to a top 3 cs school and have had a very successful career). This person can't do basic math because they were never given the opportunity to learn it. There are also people that are perfectly intelligent, but messed up really badly when they were younger. They should have the opportunity to turn things around.
Hell I got a lot farther in math and for the most part I can’t tell them why we did a lot of that, either.
When, as an adult, have you used the knowledge contained in the book Frankenstein? But nobody says "why do I have to read Frankenstein?" because they understand that it's not the specific book that matters.
They really do. Secondary school students famously often don’t “get” good books and think they’re awful and pointless, much as people who’ve not been exposed to a given anything-but-totally-non-challenging musical genre will often think its masterpieces are boring and/or bad.
What I don't understand is how you can ethically accept someone for admission to a university knowing you will have to do extensive social work to bring them up to the standard of education you were supposed to test for at admission. Big chunks of that are affirmative action, sports scholarships, and functionally-for-profit admits (in my system, overseas admissions to a state university). Every student like this you accept for a normal course of undergrad work represents another student that you're going to reject for not meeting admissions criteria.
We have historically used "Community Colleges" as a second tier system that assisted this sort of student for minimal debt with significant subsidy, and "Universities", especially "Research Universities", as a first tier system where both professors and students are expected to perform higher level work.
Part of me sees that and immediately thinks "That can't possibly be true". Another part of me reminds the other part that I used to feel the same way about the statement "many working programmers can't write FizzBuzz". And then I was on the interview team for my employer a couple of jobs back, and we routinely asked candidates to write FizzBuzz. And many, including folks with 10, 15+ years of documented coding experience, and/or Masters or PhD degrees in C.S., could not do it. And that's even when they were given a laptop with an IDE open, with the skeleton of the program in place, with strategically located comments saying "your code goes here" and suchlike.
I don't know what to think about humanity sometimes. The same race that put people on the moon, helicopters on Mars, Voyagers beyond the edge of the Solar System, invented the Internet, nanotech, lasers, etc. has people who can make it to (and through) high school, and still can't come up with "what's half of 20" or, apparently, write FizzBuzz???
If it's any solace, selection bias is a thing. Those applicants that can't Fizz Buzz? They rarely get hired, and are rarely kept on for long when they do get an offer. Spoolsky made the argument like 20 years ago that as a result they flood the zone, and produce a massively biased applicant stream.
They had to fudge the demographics in the 1930 census because so many people from Georgia, Texas, etc identified themselves as South American.
I knew a guy who spent weeks drooling over bargains in a UK computer magazine without realizing that £ was not a dollar sign.
My buddy in Santa Fe gets into arguments with customer support people over whether New Mexico is part of the United States.
This sounds like it could have been an interesting discussion about what historians mean when they call something inevitable. "Inevitable literally means unavoidable, and in practice historians use it to mean a situation where... Scholars often say the war became inevitable after..."
“The Civil War was inevitable [given the sequence of historical events], but it didn’t have to be that way [if we hypothetically could change a couple small pivotal scenarios].”
The rest of the paper would need to support that title of course, but a catchy title that causes someone to rage-read your paper is the literary equivalent of clickbait and a time honored tradition of aspiring writers.
While I believe everyone should love mathematics and keep learning it as long as possible, forcing adults to study it is counter-productive. Lack of inclination to study maths also shouldn't stop people from attending university - something like creative writing really doesn't depend on it, although I sometimes wish there more stringent requirements for mathematical qualifications of journalists.
The writer mentions that allowing students to slip by without math limits them to mostly economically unproductive majors. If they are going to limit themselves to only these majors, are they getting value from attending college at all compared to the debt they will be saddled with?
If they're going to college and getting a degree that isn't going to pay off, that's the fault of the schooling they've had up until that point, for not teaching them a damn thing about cost and benefit, and for pumping it into their heads that college is a ticket to an easy life, that you'll be a burger flipper til 65 without it and that sort of thing.
I agree with the author that helping people take out loans to learn something they should've learned in 8th grade and pretending it's higher education is extremely unethical, but if someone's going to college when they can't afford it and don't need it, the blame lies with the people that educated them about the world up until the point they made that decision, not with the college. Doubly so since those people were responsible for teaching them I'm the 8th grade.
Similarly, political science majors won’t be able to effectively analyze politics and government if they’re unable to do even the basic math required to understand things like progressive taxation. They won’t be about to effectively participate in democracy, either.
Political science is not a subject I'm claiming doesn't need any maths, but hatred or fear of mathematics shouldn't prevent someone from studying languages or history, just as a hatred of writing essays shouldn't prevent someone from studying a science. Obviously nobody hating or fearing either mathematics or essays is what we should aim for, but until we get there, don't prevent people from doing the things they excel at.
If somebody had the reading level of a 9yo, we wouldn’t give them a degree. But with math, we just let them through
--E-mail from a Vietnamese student. She got an A in my trigonometry class, dominating the other students despite not knowing much English. Yes, she did work in a nail salon, and no, she didn’t graduate the equivalent of high school in her native country.
What does a nail salon have to do with your point?
When Vietnamese refugees arrived in the US after the fall of South Vietnam, Ms. Hedren (Melanie Griffith's mother) visited a camp outside Sacramento. The women of the camp expressed interest in her manicured nails, so she suggested that learning how to do nails would be an excellent career for them - relatively little English is required, so lack of fluency was a minimal barrier. She had her personal manicurist flown up to the camp to teach an initial class of 20 women, and after they had been trained, she helped them get licenses and jobs.
And that's why so many nail salons in the US are Vietnamese-owned and -staffed.
If after reading the article, this was your take away question, you'd probably fail the remedial class too...
major point that is not a nitpick but is related: Since 2013, especially since the pandemic, most educators I've talked to agree it's gotten significantly worse. It was bad then and it's awful now. The reality is if you can add, subtract, multiply, divide, estimate, convert between, and understand the real world meaning of fractions, decimals, and percents, let alone apply it to real world situations like which bag of flour has a cheaper unit price, you are in a minority of american adults.