'Refusing to teach kids math will not improve equity'

cawacko

Well-known member
This grabbed my attention and I would really love to hear the thoughts of others on this. I came across this because a former educator from my high school posted this on Facebook: (he's politically liberal and Oakland born and raised)


"If public schools aren't doing the teaching who is? The unfortunate, yet honest answer is in some cases, nobody.

Closing the achievement gap twenty years ago: Try to make the worst-performing students do better in school.

Closing the achievement gap in 2023: Try to avoid measuring difference in achievement."


He then linked to this article by Noah Smith. Smith is a well known liberal economist (he's a liberal but not a hyper partisan or ideologue so for that reason I enjoy reading his work even if I don't agree with him). This is about algebra ruling in California and what should be done instead. (It may have been posted elsewhere but this likely offers far more depth and insight than any partisan rant.)






Refusing to teach kids math will not improve equity

We have public schools for a reason.



“The result of the educative process is capacity for further education.” — John Dewey

A couple of weeks ago, Armand Domalewski wrote a guest post for Noahpinion about how the new California Math Framework threatened to dumb down math education in the state — for example, by forbidding kids from taking algebra before high school:

Well, I’m going to write another post about this subject, because the direction in which math education is trending in America under “progressive” guidance just frustrates me so deeply.

A few days after Armand’s post, the new California Math Framework was adopted. Some of the worst provisions had been thankfully watered down, but the basic strategy of trying to delay the teaching of subjects like algebra remained. It’s a sign that the so-called “progressive” approach to math education championed by people like Stanford’s Jo Boaler has not yet engendered a critical mass of pushback.

And meanwhile, the idea that teaching kids less math will create “equity” has spread far beyond the Golden State. The city of Cambridge, Massachusetts recently removed algebra and all advanced math from its junior high schools, on similar “equity” grounds.

It is difficult to find words to describe how bad this idea is without descending into abject rudeness. The idea that offering children fewer educational resources through the public school system will help the poor kids catch up with rich ones, or help the Black kids catch up with the White and Asian ones, is unsupported by any available evidence of which I am aware. More fundamentally, though, it runs counter to the whole reason that public schools exist in the first place.

The idea behind universal public education is that all children — or almost all, making allowance for those with severe learning disabilities — are fundamentally educable. It is the idea that there is some set of subjects — reading, writing, basic mathematics, etc. — that essentially all children can learn, if sufficient resources are invested in teaching them.

Before public education — one of the key crusades of the original Progressive movement — only private actors invested resources in educating children. Families taught their kids skills, rich families hired tutors, companies trained their workers, churches provided some classes, etc. But it was a threadbare, uneven patchwork. Worse, it was highly unequal — if you weren’t born to a family with lots of time and/or money to spare, you didn’t get nearly as much education. This led to inequality throughout society, as well as the preservation of intergenerational wealth. Furthermore, it wasted much of society’s productive potential, because the unlucky kids weren’t learning as many useful skills as they could have been.

Universal public education was a way to attack all of these problems at once. By investing state resources in childhood education, it not only boosted human capital and economic growth, it eroded inequality of birth and circumstance. Teachers, hired by the state, provided some of what poor kids’ families couldn’t provide. Everyone except for a very few fringe ideologues now agrees that this model was a success; public education is pretty much universally believed to be a key input into economic development, and plenty of research supports that notion that it fosters intergenerational mobility as well. It is not a perfect equalizer and never will be, but it is one of the more important equalizers that exist in our society.

When you ban or discourage the teaching of a subject like algebra in junior high schools, what you are doing is withdrawing state resources from public education. There is a thing you could be teaching kids how to do, but instead you are refusing to teach it. In what way is refusing to use state resources to teach children an important skill “progressive”? How would this further the goal of equity?

I can easily see one (very twisted) perspective that might lead someone to think it would do so. If you take a strongly “hereditarian” view toward education, then you believe that inborn mental ability — what we typically call “IQ” — determines most of what people can and can’t learn. If you are a strong hereditarian, then perhaps you believe that students who don’t learn algebra well are simply born without the cognitive ability to learn it.

And if you believe that, then you might conclude that the only way to create equity in society would be to handicap the kids who were born with the ability to learn algebra. Like the Handicapper General in Kurt Vonnegut’s satirical sci-fi short story “Harrison Bergeron”, you might try to kneecap the opportunities of the kids you believed to be the genetic elite. In doing so, you would then become a living, breathing embodiment of this meme that opponents of equity created in order to ridicule the whole idea:


Now, if you went up and asked “progressive” educators like Jo Boaler if they believed in a version of hereditarianism so strong as to make Charles Murray himself blush, they would undoubtedly deny that they do. And I’m sure they don’t consciously think that math ability is all in the genes. But when you think about the idea of creating equity by restricting access to advanced math classes, it’s pretty much impossible to avoid the conclusion that the idea is to make all kids equal by making them equally unable to learn.

But whatever you think about the morality of this idea, it simply will not work. The reason is that the strong hereditarian hypothesis is wrong; practically all kids are educable, with the proper investment of resources.

I know this from personal experience. I was a math tutor for many years, in high school and college, and part of that was volunteer work tutoring poor Black and Hispanic kids. Guess what? They learned a lot of math! But this isn’t just my own anecdote; evidence consistently shows that tutoring is highly effective. Nickow, Oreopoulos, and Quan (2020) surveyed 96 studies using a variety of different tutoring approaches in a variety of different contexts. Here’s a summary of what they found:

We found that tutoring is remarkably effective at helping students learn, with over 80% of the 96 included studies reporting statistically significant effects. Averaging results across the studies included in this analysis, we found a pooled effect size of 0.37 standard deviations. In other words, with the help of tutoring, a student at the 50th percentile would improve to the 66th percentile. In the field of K-12 education research where there is little agreement on what works, these findings are remarkable not only for their magnitude but also for their consistency. The evidence is clear that tutoring can reliably help students catch up.

The effectiveness of tutoring can help us understand achievement gaps in math classes. Some students do well because of greater preparation — they show up already knowing much of the material, or having the general concepts in place to pick it up quickly. This is because they had a tutor at home growing up: their parents, who had the leisure time and educational background required to teach their kids some math. A few rich parents also hire private tutors, but the main tutors are almost always Mom and Dad.

Now imagine what will happen if we ban kids from learning algebra in public junior high schools. The kids who have the most family resources — the rich kids, the kids with educated parents, etc. — will be able to use those resources to compensate for the retreat of the state. Either their parents will teach them algebra at home, or hire tutors, or even withdraw them to private schools. Meanwhile, the kids without family resources will be out of luck; since the state was the only actor who could have taught them algebra in junior high, there’s now simply no one to teach them. The rich kids will learn algebra and the poor kids will not.

That will not be an equitable outcome.

Taken to its logical extreme, the idea of restricting what can be taught in public schools — for whatever reason — leads us back to the pre-public-school era. It leads us to a world of private schools and home schooling. That’s not an era we should seek to return to. Nor am I being hyperbolic; Cambridge’s restriction of junior high algebra is effectively a small step toward that bygone era, since kids with resources will just learn algebra from their parents or be pulled out into private schools.

So what should we do instead? Dallas came up with an answer: Teach kids more math instead of teaching them less. In 2019, Dallas Independent School District implemented a new equity policy that encouraged many more people to take honors math classes:

Many capable Hispanic, Black and English learner students did not elect to join these classes on their own or were passed over by their instructors. And their parents were often unaware they could make the request.

Dallas ISD, which serves some 142,000 children, took note of the disparity and in 2017 formed a racial equity advisory council — some of whose members had children in the district — with the goal of improving opportunity for all…It decided to move from an opt-in model to an opt-out policy in the 2019-20 school year. Since then…students cannot opt out [of advances classes] without written parent permission. The move has dramatically increased participation among traditionally marginalized children.

The results were pretty incredible. First of all, many more students enrolled in honors math:

Before the change, three times as many White students as Black students enrolled in honors math; after the change, it was less than twice as many. Not perfect equity, but progress in that direction.

But did all these new students actually learn the honors math? Yes, indeed they did:

And the policy has not led to a decrease in student scores as some speculated: Last year’s 8th-grade Algebra I students had similar pass rates as those in years prior, the district said, with 95% of Hispanic students passing the test and 76% meeting grade-level proficiency; 91% of Black students passing and 65% meeting grade level and 95% of English learner students passing the state exam and 74% meeting grade level.

Guess what? Children are educable. If you invest the resources of the state in poor kids and underrepresented minorities, they will learn. The true path toward equity is to have the state teach more, not less. Instead of trying to prevent the well-prepared kids from learning algebra, invest more in teaching algebra to the disadvantaged kids!

How did we end up in a world where “progressive” places like California and Cambridge, Massachusetts believe in teaching children less math via the public school system, while a city in Texas believes in and invests in its disadvantaged kids? What combination of performativity, laziness, and tacit disbelief in human potential made the degradation of public education a “progressive” cause célèbre? I cannot answer this question; all I know is that the “teach less math” approach will work against the cause of equity, while also weakening the human capital of the American workforce in the process.

We created public schools for a reason, and that reason still makes sense. Teach the kids math. They can learn.


https://www.noahpinion.blog/p/refus...XVcfG1l4dAQTFR5MHYn2nWKMKOu_LSzv68urpLxECl7G4
 
Another column on this from today's paper. I'll out myself and say I don't remember the math classes I took but it sure seems like trying to change (read: lower) standards in the name of equity is getting quite the pushback.




California wants to make math more diverse. Its plans are going to backfire

To diversify math-related fields, we need more girls and students of color taking calculus in high school, not fewer.


One of the most formative experiences I had in high school was the calculus class I took senior year. From the moment I received the massive textbook — its cover featuring a violin’s integral-shaped sound holes, the instrument intimidating in its austere beauty — I knew it would be the most challenging class I’d ever taken.

It was. But it also surprised me by being one of the most enjoyable. In the hours I spent on the material, I discovered that after years of being convinced that I wasn’t a “math person,” I in fact was. I was capable of understanding and solving complex mathematical problems — an empowering realization that filled me with confidence and joy.

This is the kind of math experience that the California State Board of Education says it wants to make possible for more students, particularly underrepresented groups such as girls and students of color. It spent the past few years working to overhaul California’s K-12 math curriculum with the aim of boosting interest and diversity in math, improving dismal test scores — fewer than 34% of students met or exceeded state math standards in the 2021-22 school year, down from about 40% pre-pandemic — and closing persistent racial achievement gaps. In the 2021-22 school year, about 70% of Asian students and 48% of white students met or exceeded state math standards, compared to about 21% of Latino students and 16% of Black students, state data shows.

But I fear the 1,000-page framework the board approved last week — which isn’t binding on school districts — will actually achieve the opposite.

In addition to generally de-emphasizing calculus, it also suggests that girls and students of color specifically might find more success in alternative math courses such as data science. Both principles are misguided practically and philosophically.

Practically speaking, taking calculus in high school is a key — and often necessary — step for students to enter competitive colleges and to earn a four-year degree in science, technology, engineering or mathematics (STEM). Those degrees also often translate to higher-paying jobs and improved social and economic mobility.

Philosophically speaking, it’s contradictory for the math framework to have as one of its stated goals helping “students to ‘see themselves’ in curriculum and in math-related careers” while simultaneously appearing to steer girls and students of color away from calculus, the foundation of a career in STEM. For these underrepresented groups, the framework contends, the disengagement resulting from “traditional mathematics lessons” is “particularly harmful.” Data science, on the other hand, “provides opportunities for equitable practice … and to accept the reality that all students can excel in data science fields.”

There’s nothing wrong with data science. But taking that class, in lieu of the traditional math trajectory leading to calculus, will not propel more underrepresented students into STEM fields. It will more likely have the opposite effect.

Just ask the University of California and California State University systems. Last week, the group of UC faculty members overseeing admissions standards announced it would no longer allow data science courses to fulfill the advanced-math admissions requirement. The move came about six months after the CSU academic senate passed a resolution expressing serious concern with data science being equated with advanced math, noting that some courses “do not address the range of standards expected for college and career readiness.”

Yet the approved math framework promotes a path that makes it harder for students to take calculus before they graduate high school. It recommends that most students wait until 9th grade to take Algebra 1, meaning those who want to take calculus before graduation would have to squeeze five years of math — Algebra 1, Geometry, Algebra 2, Precalculus and Calculus — into four.

More instruction in less time hardly seems like a sustainable, smart or more equitable solution.

San Francisco Unified School District, which beginning in 2015 required students to wait until 9th grade to take Algebra 1, proves that it isn’t. A recent Stanford University study found the policy didn’t result in a statistically significant change in the percentage of Black students enrolling in Advanced Placement math courses, while Hispanic student enrollment increased by just 1 percentage point and Asian and white student enrollment initially declined. SFUSD, which is facing a lawsuit over the policy, is now considering reversing it.

This doesn’t mean California’s existing math instruction couldn’t benefit from a revamp. Textbooks often fail to illuminate the fascinating ways in which math undergirds everything from daily life to artificial intelligence. Teachers — especially those in low-income districts — are often underpaid, overworked and lack access to first-rate credentialing and training programs. And kids are too often made to feel that math just doesn’t “come naturally” to them.

“When you put students … into these lower-tracked classes, they know what class they’re in,” Stephanie Holloway, an elementary school teacher in Lake Elsinore (Riverside County) Unified School District and a member of the committee that oversaw the framework’s initial development, told me. “Right away, they’re getting that impression that they’re not good at math. And that often follows them.”

Yet the new framework, in trying to eliminate these inequalities, only ends up reinforcing them by dancing around a fact it doesn’t want to acknowledge: To diversify math-related fields, we need more girls and students of color taking calculus in high school, not fewer.

After years of discussion, the state still doesn’t seem to know how to achieve that. But, as a girl who took calculus in high school, I’d like to offer my two cents: “traditional math lessons” aren’t nearly as harmful as the idea that we can’t succeed at them.


https://www.sfchronicle.com/opinion/article/math-calculus-school-california-18193360.php
 
Meh…many of the poor white trash of the south are about as interested in learning math as the poor inner city kids of the north and west.

Learning math takes focus and discipline. Not much of that is promoted in many sub cultures these days.
 
Meh…many of the poor white trash of the south are about as interested in learning math as the poor inner city kids of the north and west.

Learning math takes focus and discipline. Not much of that is promoted in many sub cultures these days.

As an educator, and this may not be your area of expertise, are these changing of standards and how they teach math going to produce better results?

On one hand I don't want to be resistant to change but as we see, the feedback to this is far from all positive. Change can be good but change to lower standards is not necessarily good.
 
As an educator, and this may not be your area of expertise, are these changing of standards and how they teach math going to produce better results?

On one hand I don't want to be resistant to change but as we see, the feedback to this is far from all positive. Change can be good but change to lower standards is not necessarily good.

This is the first serious response I have given to this topic. I’ve been trolling a bit on other threads. In my opinion, this will not do any good to improve overall math scores. And whether people like it or not, test scores are the metric that the majority of “experts” will look at to see if the students have improved.

My main problem with this, based on what I am reading, is removing the opportunity to take Algebra I in the 8th grade. Kids that are ready to take Algebra I in the 8th grade should have to opportunity to take Algebra I in the 8th grade. It seems the efforts are to remove the classes that would provide readiness and teach all at a slower pace. The problem with that is that kids do not progress at the same rate intellectually as they do chronologically.

I’ve said it many times, kids need to be provided with different paths mathematically by the 6th grade and then another opportunity, or fork in the road needs to be there by the 9th grade.

One thing is for sure, what we are doing overall isn’t working. So I am not against trying something to make improvements. They tried Common Core, which was basically trying to make mathematical thinkers out of everybody by the way the math was taught. That was a bust so now they’re trying something else. I am not so confident it is the correct approach but they are the experts so we’ll have to wait and see.

We’re always looking for a model that works. We cannot adopt the Asian model because of the differences in cultures. So I would advocate for a more German model where there are forks in the mathematical education road at different points in the progress of the student.
 
I do not know what the proper age for algebra is. It was not offered until the 9th grade when I was growing up. That was no crisis.
 
Is it decreasing quality of education

or deceasing intelligence of the students

due to devolution?

Americans in general do seem more stupid than they ever previously have in my lifetime.
 
This is the first serious response I have given to this topic. I’ve been trolling a bit on other threads. In my opinion, this will not do any good to improve overall math scores. And whether people like it or not, test scores are the metric that the majority of “experts” will look at to see if the students have improved.

My main problem with this, based on what I am reading, is removing the opportunity to take Algebra I in the 8th grade. Kids that are ready to take Algebra I in the 8th grade should have to opportunity to take Algebra I in the 8th grade. It seems the efforts are to remove the classes that would provide readiness and teach all at a slower pace. The problem with that is that kids do not progress at the same rate intellectually as they do chronologically.

I’ve said it many times, kids need to be provided with different paths mathematically by the 6th grade and then another opportunity, or fork in the road needs to be there by the 9th grade.

One thing is for sure, what we are doing overall isn’t working. So I am not against trying something to make improvements. They tried Common Core, which was basically trying to make mathematical thinkers out of everybody by the way the math was taught. That was a bust so now they’re trying something else. I am not so confident it is the correct approach but they are the experts so we’ll have to wait and see.

We’re always looking for a model that works. We cannot adopt the Asian model because of the differences in cultures. So I would advocate for a more German model where there are forks in the mathematical education road at different points in the progress of the student.

Appreciate the insights/feedback. I think many/most people agree on the importance education can play in an individual's life. We also live in a global society and the reality is American kids are competing with kids across the planet for jobs etc. so it plays an even bigger role in that regard. (Your comment is interesting about adopting Asian models and why it would be difficult for us. On one hand there is no denying how well they do in STEM fields and on test scores. The single minded focus they have does have its drawbacks however.)

As Noah Smith opined in the OP, and you referenced, there are millions of kids in the U.S. and not all these kids are on the same level or learn the same way. So a one size fits all education model isn't optimal. However as my friend wrote, trying to raise up the lower end of students is not the same as lowering standards to try and create equality (more mediocrity). And because discussions of education usually turn into mindless partisan ranting I purposefully posted liberal opinion on the new standards.

Again, I acknowledge I'm not a STEM guy but there's talk of racism in the Silicon Valley based on the lack of black employees. If we're lowering standards and requirements in the name of equity (skills necessary for STEM jobs), how can we expect more black (and LatinX) workers to have the necessary skills to be hired?
 
This is the first serious response I have given to this topic. I’ve been trolling a bit on other threads. In my opinion, this will not do any good to improve overall math scores. And whether people like it or not, test scores are the metric that the majority of “experts” will look at to see if the students have improved.

My main problem with this, based on what I am reading, is removing the opportunity to take Algebra I in the 8th grade. Kids that are ready to take Algebra I in the 8th grade should have to opportunity to take Algebra I in the 8th grade. It seems the efforts are to remove the classes that would provide readiness and teach all at a slower pace. The problem with that is that kids do not progress at the same rate intellectually as they do chronologically.

I’ve said it many times, kids need to be provided with different paths mathematically by the 6th grade and then another opportunity, or fork in the road needs to be there by the 9th grade.

One thing is for sure, what we are doing overall isn’t working. So I am not against trying something to make improvements. They tried Common Core, which was basically trying to make mathematical thinkers out of everybody by the way the math was taught. That was a bust so now they’re trying something else. I am not so confident it is the correct approach but they are the experts so we’ll have to wait and see.

We’re always looking for a model that works. We cannot adopt the Asian model because of the differences in cultures. So I would advocate for a more German model where there are forks in the mathematical education road at different points in the progress of the student.

It's an interesting dynamic regarding women. I believe the girl/boy ratio in college today is 60/40%. Women far outnumber men. But women are far more under represented in STEM. So this new legislation is (in theory) suppose to help more women but as the (female) columnist in Post #2 argues, this will only push women further behind. It's hard for me to understand that women need reduced standards and steered away from Calculus to compete in STEM fields.
 
Anecdotal but went to two different dinner parties this past weekend and this was the topic du jour at each. The demographics of each party was educated, mostly white, economically successful parents with kids in either elementary or middle school (or both).

Did not hear too many people in support, like almost none. Interesting hearing a couple of mom's go off as well. You have a combination of the lingering effects of the extended education lockdown due to COVID and now the lowering of standards vis a vis math and you could hear the frustration.

Will be something to keep an eye on as its implemented.
 
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