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California needs real math education, not gimmicks

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Re: California needs real math education, not gimmicks

#241
post #158
post #23

Earlier quoted context omitted.

> why Algebra is required to understand basic stats I don't understand how you can say this. Literally every statistical concept is defined via formula, and to manipulate formulas correctly (or even really understand the concept) you need basic algebra. Going even further than that, if you have the most basic "business scenario word problem", like cells in excel that describe how many widgets are made per hour, how m…

I struggled a lot with Algebra, I forged my teacher's signature to not retake it for the third year in a row. I didn't really "get" it until I started programming and learning stats. That's when it all hit me, then I went back and had to relearn what the hell they were talking about during my middle school years. Also, once I got to Highschool math, Algebra 2 and PreCalc, it was very easy to simply memorize formulas…

> I didn't really "get" it until I started programming and learning stats.

I had a similar experience. I wasn't particularly good at math and struggled a bit with algebra until I started programming.

I had something I wanted to solve, and I found out I needed to convert between one ratio to another ratio, and I couldn't figure out how. Then I realized I could just compute a percentage and use that. After all a ratio is a measure of something relative to a whole and percentage would tell you, well, the percentage of the whole, and I had memorized the formulas from going to and from percent.

So I wrote the code for this, but staring at the code it suddenly was so obvious that the division by 100 on the first line would cancel with the multiplication by 100 on the second line.

That was my eureka moment. Algebra suddenly made sense, and math in general became a whole lot easier.

Re: California needs real math education, not gimmicks

#242

Earlier quoted context omitted.

>Also, it can't possibly be exponential because the US population is not growing exponentially This is completely wrong. The fraction of home-schooled students could e.g have been increasing from 0.02% to 0.04% to 0.08% to 0.16% even if the overall population wasn't growing at all, and that's considered exponential growth. Clearly there are indeed problems with US maths education.

And then after another 6 doubling periods it'd get to 10%, will it? Exponential till it's not isn't exponential, it's logistic.

I had to look up "logistic" in that context.

Almost anything that is described as "exponential" isn't really exponential, if the curve is describing a real-world quantity. Real-world quantities tend to be subject to limits.

I'm an annoying pedant regarding the word "exponential", which is commonly used (especially by journalists) simply to mean "grows fast". I think it's fair to call a curve "exponential" if the relevant part of the curve approximates to exponential.

Re: California needs real math education, not gimmicks

#243
post #175

Earlier quoted context omitted.

That only applies to small companies. Schools are equivalent to large companies, and large companies can screw the proverbial six ways from Sunday for years before it hurts their bottom line, for any number of reasons. Many Americans seem to have this mental disease whereby they think every problem can be solved with more money. This problem can't be.

Large companies still have plenty of incentive pay. Currently, teachers have zero incentive to get results. I bet you'll see results that follow incentives. Of course it won't be perfect - but I bet it'll be much better than the current disaster. People like money. Especially the people who say they aren't motivated by money :-)

Have you thought out the perverse incentives your pay scheme would create?

Re: California needs real math education, not gimmicks

#244

Earlier quoted context omitted.

We've got a six year old, just about to start school in a few months, and we've done the same thing. We started giving him a quarter of a lego minecraft set every time he read two pages of text - either in English or Finnish - then we had to move to a bunch of bricks every time he read a full chapter. The surge in his effort, and abilities, was almost frighteningly quick. (Here in Finland kids can go to daycare from…

I don't think you can parent without some level of bribing but note that research has been done suggesting that extrinsic motivation can negatively impact intrinsic motivation. One personal anecdote of mine is a school friend who announced that he was never going to read a book again after finishing school (with good grades). For him, reading books was not a thing he loved, just a means to an end. https://www.wearete…

Sadly, the link you provided shows how much nonsense there is in this space. They provide two sources of "evidence". Both of them are total junk.

For example, they say: As educators, we have heard a lot about the downside of extrinsic motivation. Studies have shown that extrinsic motivation produces only short-term effects, at best. One study out of Princeton University goes so far as to say, “External incentives are weak reinforcers in the short run, and negative reinforcers in the long run.”

That study? https://www.princeton.edu/~rbenabou/papers/RES2003.pdf It's an economic model of how idealized humans might work! It literally says nothing about real humans or children.

The second piece of evidence comes from the founder of this website excelatlife.com A website by a psychologist who treats anxiety and depression, and "Dr. Frank's strong interest in Eastern philosophies and Buddhist psychology has led her to train in various forms of Tai Chi/Qi Gong as well as other mindfulness methods for over 15 years. She is a third degree black belt in American Kenpo and continues her involvement in martial arts at the Martial Arts Center." She knows about as much about childhood education as you do.

Maybe your statement is right, but your evidence is non-evidence.

Re: California needs real math education, not gimmicks

#245

Earlier quoted context omitted.

My son struggled to read when he was young. Over the summer we set a goal and attached a payout to it. Yes, I bribed my son to read. The problem is now I can't get him to stop. Money talks.

We've got a six year old, just about to start school in a few months, and we've done the same thing. We started giving him a quarter of a lego minecraft set every time he read two pages of text - either in English or Finnish - then we had to move to a bunch of bricks every time he read a full chapter. The surge in his effort, and abilities, was almost frighteningly quick. (Here in Finland kids can go to daycare from…

[deleted]

Re: California needs real math education, not gimmicks

#246

Earlier quoted context omitted.

There's also an increased distance between those doing the actual work and those making decisions about how it should be done. Bureaucratic depth keeps any real change from taking place, instead leaving those on the ground level to try and work within a set growing rules. Any attempt to affect change has to be filtered through so many levels and takes so long. As a longtime teacher, I don't think there are any soluti…

The one solution that will work (and is vehemently resisted) is to pay teachers a base salary plus a bonus for each student that meets grade level expectations at the end of the year.

> The one solution that will work (and is vehemently resisted) is to pay teachers a base salary plus a bonus for each student that meets grade level expectations at the end of the year.

You're talking as if this isn't how the system works today. Your proposal is literally how US education has worked since the 80s. The disaster you see in the public education system in the US is in part caused by merit-based systems including merit-based pay for teachers.

The key problem is that we cannot measure how educated someone is. We can only measure their results on a test. Garbage in, garbage out.

This means that everyone teaches to a test. That's a horrible experience for teachers and students. And it literally leads to the solution the article warns us about: water down all the tests and eliminate as much knowledge from the curriculum as you can so that everyone excels and everyone gets their merit-based pay.

We also know that merit-based pay has a tiny impact on student scores in the short term at the scale that one teacher can control over a student-year, under 0.1 standard deviations. https://journals.sagepub.com/doi/abs/10.3102/000283122090558...

So not only does merit-based pay for teachers not work, not only does it not raise scores in any meaningful way, not only does it erode the curriculum, it's literally a big part of the current problem in the US.

Oh, and let's not forget kids with any kind of disability. Under this system they become a massive liability. Instead of teachers trying to help such students, they're quickly routed to the closest holding area so that they don't affect scores. This has been going on for almost 20 years now because of No Child Left Behind.

This is why teachers are opposed to the idea of doubling down on merit-based pay. It's not because the best teachers don't want to make more money. It's because it only rewards the teachers of kids that are already performing well, while punishing teachers in schools that aren't performing well, without any means for the teachers to meaningfully intervene.

Re: California needs real math education, not gimmicks

#247
I don't believe that "education resources" are lacking at all, if a student has access to the internet they have instant access to anything they would learn k-16. In terms of exercise, everybody has their own personal/public gym, with all the most advanced equipment (possibly interspersed with suboptimal equipment but an advanced personal gym nonetheless) that they do not use, because they either aren't athletes or don't care about exercise for health/spiritual fulfillment. Any work on making the gym better is wasted it isn't being used.

How can we solve this problem? Advertisement.

Perhaps instead of giving talks at conferences to people who couldn't care less about what you are saying and even if they did care they are "too busy" to engage with the ideas; you give talks to elementary schoolers instead. Elementary school, classrooms or auditoriums, or a monthly lecture series over the course of a year.

There aren't many other effective ways to show students that real people actually care about STEM, this one has the bonus of making use of the education of people who went from say EE to IT support, teachers cannot reasonably be expected to explain to children how electricity works better than that guy who lives a block down from you who has a stack of breadboards up to the ceiling, and just showing a video lacks the spontaneity needed to keep children engaged as you change focus.

What exactly is stopping you from repeating that talk you gave at strangeloop, rustconf, usenix, fosdem or gophercon to that school within walking distance? At the very least can you walk into the principal's office, look them dead in the eye; give them a firm handshake and tell them that you want to get involved with the kids' education.

How many STEM degrees holders are in California? A hundred thousand? How many elementary schools? If you are a Californian, tell me how many STEM related talks, given by a community speaker, did you attend during your k-12 schooling? Now tell me how many times your teacher put on some random movie.

For me the answers are 0 and 100+

Re: California needs real math education, not gimmicks

#248

Earlier quoted context omitted.

There's also an increased distance between those doing the actual work and those making decisions about how it should be done. Bureaucratic depth keeps any real change from taking place, instead leaving those on the ground level to try and work within a set growing rules. Any attempt to affect change has to be filtered through so many levels and takes so long. As a longtime teacher, I don't think there are any soluti…

>All that said, I don't know if it'll change much. The culture in America doesn't respect the value of education, nor educators in the way it used to. Its crazy to see these stats in the link along with your comment... but at the same time see that the US leading the way(or is at least in the top tier) in technology, business, innovation, etc. How is the country continuing to produce so much output when its mechanism…

I work for an American company remotely from Europe. I didn't leverage any educational facility from the US yet I'm contributing to the fact that the US is "leading the way" in technology. And the reason is simple: not only do they pay me more than an equivalent European company, often it's hard to find an "equivalent" European company where I can work on something I find interesting.

Now, something did originally created the conditions for why US is leading, but once that has happened it can become a self sustaining network effect, provided enough money is kept flowing

Re: California needs real math education, not gimmicks

#249

Earlier quoted context omitted.

I don't think you can parent without some level of bribing but note that research has been done suggesting that extrinsic motivation can negatively impact intrinsic motivation. One personal anecdote of mine is a school friend who announced that he was never going to read a book again after finishing school (with good grades). For him, reading books was not a thing he loved, just a means to an end. https://www.wearete…

Sadly, the link you provided shows how much nonsense there is in this space. They provide two sources of "evidence". Both of them are total junk. For example, they say: As educators, we have heard a lot about the downside of extrinsic motivation. Studies have shown that extrinsic motivation produces only short-term effects, at best. One study out of Princeton University goes so far as to say, “External incentives are…

That was just a Google result that I scanned and found reasonable, so I have no great desire to defend it strongly, but:

The economics paper is trying to reconcile the economics orthodoxy of "incentives matter" with the experimental evidence (that it references from across decades) that incentives can in some cases hurt.

It's intro is a decent survey of the issue, and has the meta benefit that economists if they could prove this effect didn't happen would be happy to prove that. Instead they are trying to adjust their model to account for it.

> Kohn (1993) surveys the results from a variety of programmes aimed at getting people to lose weight, stop smoking, or wear seat belts, either offering or not offering rewards. Consistently, individ- uals in “reward” treatments showed better compliance at the beginning, but worse compliance in the long run than those in the “no-reward” or “untreated controls” groups. Taken together, these many findings indicate a limited impact of rewards on “engagement” (current activity) and a negative one on “re-engagement” (persistence).

> A related body of work transposes these ideas from the educational setting to the workplace. In well-known contributions, Etzioni (1971) argues that workers find control of their behaviour via incentives “alienating” and “dehumanizing”, and Deci and Ryan (1985) devote a chapter of their book to a criticism of the use of performance-contingent rewards in the work setting.2

> And, without condemning contingent compensation, Baron and Kreps (1999, p. 99) conclude that: There is no doubt that the benefits of [piece-rate systems or pay-for-performance incentive devices] can be considerably compromised when the systems undermine workers’ intrinsic motivation.

> Kreps (1997) reports his uneasiness when teaching human resources management and discussing the impact of incentive devices in a way that is somewhat foreign to standard economic theory. And indeed, recent experimental evidence on the use of performance- contingent wages or fines confirms that explicit incentives sometimes result in worse compliance than incomplete labour contracts (Fehr and Falk (1999), Fehr and Schmidt (2000), Gneezy and Rustichini (2000a)). Relatedly, Gneezy and Rustichini (2000b) find that offering monetary incentives to subjects for answering questions taken from an IQ test strictly decreases their performance, unless the “piece rate” is raised to a high enough level. In the policy domain, Frey and Oberholzer-Gee (1997) surveyed citizens in Swiss cantons where the government was considering locating a nuclear waste repository; they found that the fraction supporting siting of the facility in their community fell by half when public compensation was offered.

Re: California needs real math education, not gimmicks

#250
post #113

Earlier quoted context omitted.

> The culture in America doesn't respect...educators in the way it used to. Things may have gone downhill since the 1950s, but it was never very good. Think of the scorn directed at the teaching profession in The Legend of Sleepy Hollow , and the traditional proverb, "Those who can, do. Those who can't, teach." I don't know when it began, but the general disrespect for educators is centuries old in Anglo culture.

There is a better, older, phrase that would be great to promote over that tired saying: “Those who know, do. Those that understand, teach.” — Aristotle

Great quote, thanks for sharing.
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