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Many McGill Education Students Cannot Calculate an Average

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Re: Many McGill Education Students Cannot Calculate an Average

#141
post #115
post #3

I teach high school, and a colleague of mine went to an education conference a couple weeks ago. She was sitting at a table with three elementary school teachers. They were talking about how to gauge student progress when the students had taken a 100-question test, and a 50-question test. None of the three teachers realized that you had to scale the test scores before making a comparison between the two tests. These…

If folks in Quebec can speak French, it should be pretty easy.

Having French as your native language doesn't mean French class is easy, and a sizable part of Québec's population doesn't speak French natively.

Re: Many McGill Education Students Cannot Calculate an Average

#142
post #80

Real story: In Hungary students are rated from 1 to 5, where 5 is the best score and 1 is the worst. During the semester you have multiple tests (both verbal and on paper) each giving you a score between 1 and 5. Your final score is the average of these rounded to an integer. These final scores are the only important measure when you apply to study further, nothing else matters. I had a [5,5,5] and had to take a verb…

In my first year of university we had to do a maths module. My final score was 120%. Imagine just many different broken and non-mathematical things have to go into that!

Re: Many McGill Education Students Cannot Calculate an Average

#143
post #40

Earlier quoted context omitted.

That. Growing up in Quebec, I can honestly say that my mathematical education was really, really bad. I remember spending a whole year where we had no math teacher, so instead we had one of the french language teacher teach the class. We did mostly math related crosswords. All the kids were failing the class, so they simply made us all pass. Great job, school. I still have a lot of issues because of this. Hard to lea…

What makes it so hard to find a math teacher in Quebec? I've traveled through Quebec a number of times, including a bicycle trip that went through Chibougamau - as a visitor, I love the province. I can understand that some remote areas of Quebec are hard to staff effectively. Is this more than a rural/ urban issue?

We have a lot of underfunded school. The particular school I am talking about is next to a train track and a metal foundry (everything was covered with yellow dust and there was smog all over) and uses a parking space as a recreation area (hey, you can play hockey on it during winter...). In 2009, one of the wall/window fell during winter and the kids had to wear their coats indoor for a month, since plastic garbage bags and duct tape was all that was covering the hole.

As for what happened to the math teacher in question, I believe that she had left the school because she had to teach multiple groups (can't remember how many groups, but it was without a doubt too many) that were too bigs and filled with kids that shouldn't have been there in the first place. Learning disabilities, violent teens, etc. all crammed in a small room, groups of... I think it was 35 students.

Re: Many McGill Education Students Cannot Calculate an Average

#144
post #3

I teach high school, and a colleague of mine went to an education conference a couple weeks ago. She was sitting at a table with three elementary school teachers. They were talking about how to gauge student progress when the students had taken a 100-question test, and a 50-question test. None of the three teachers realized that you had to scale the test scores before making a comparison between the two tests. These…

> My colleague pointed out that the questions on the 50-point test had twice as much weight as the questions on the 100-point test.

Actually there wouldn't necessarily be any correlation between the percentage of questions answered correctly and whether the students were making progress, and arguably that answer is even worse than just comparing the raw scores.

Re: Many McGill Education Students Cannot Calculate an Average

#145
This is abysmal and unfortunately, it is far more widespread than people like to believe, particularly in supposedly advanced countries.

I've worked with programmers who could not do proportions, compounded with designers, managers etc. who were in the same boat, I'd hear conversations along the lines of:

"This is terrible, X is 3/4 of Y!" "I don't think you got it right, I got 75%, which isn't that bad"

The conversations and quarrels would go on forever, no joke.

Sadly, basic Maths isn't the only thing an alarming proportion of people do not seem to understand properly. I constantly see people with Masters, PhDs and whatnot, in various subjects (from Sciences to Journalism, Economics, etc.), who can't read and write properly. Not only do I wonder how they got where they are in the first place, but what worries me most is that there's clearly no fundamental understanding of the underlying, simple logic. Not meaning to offend anyone here, but simply looking at the comments on HN, a lot of people are guilty of bad spelling and questionable grammar, and I'd argue most people here are supposedly more educated than the average person.

I see schools competing on how they're teaching four year old kids additional languages, ten year olds how to make mobile apps, and the list goes on, but I'm yet to see a single school that advocates teaching simple logic. For instance, how about teaching grammar again? Most of my friends can't tell the difference between a noun, a proverb, a verb and so on. Not that the nomenclature matters, but I do think the intrinsic logic of a sentence does.

I'm not blaming anyone in particular, I'm really putting everyone at fault here. School systems largely aim to satisfy stats as opposed to humanely helping students, supported by politicians who like to give out numbers, whatever they mean, so that disgruntled parents may assign blame where they see fit (which is very rarely themselves), and on and on. Add to that a toxic culture of anti-intellectualism and the cycle repeats itself.

People like touting the Education system for all, but I doubt that the huge machinery we created really works for anybody, or at least everybody.

Re: Many McGill Education Students Cannot Calculate an Average

#146
post #18

Earlier quoted context omitted.

Finland both pays and respects its teachers. This is not so much the case in the US, where teaching is viewed as overpaid babysitting. Also, prestige/symbolic capital is a powerful motivator. It seems to me that in the US, wealth is a major contributor to prestige, so they're often not dissociated in professional attainment.

Teachers in the US are paid more than teachers in Finland: http://graphics8.nytimes.com/images/2009/09/09/business/econ...

Adjust those for cost of living and the US would be even more competitive.

Re: Many McGill Education Students Cannot Calculate an Average

#147
post #14
post #4

In Finland, graduate schools of Education admit students only from the top 10% of college graduates.[1] In the US, nearly half of all new teachers come from the bottom third of college graduates.[2] Evidently, Canada is more like the US than Finland. Depressing. -- [1] http://www.smithsonianmag.com/people-places/Why-Are-Finlands... [2] http://www.mckinseyonsociety.com/downloads/reports/Education...

How does that work? If you're so educated and skilled, can't you make loads more money in industry than teaching snot-nosed teenagers to solve linear equations? Or does making lots of money not matter as much in Finnish culture?

Well, if you make loads of money in Finland, the taxman will take a significant part of it. That decreases the incentives to work in industry.

And yes, making lots of money indeed matters less in this culture than (it seems, I don't know for sure) in America.

But I wouldn't say that teachers are paid that well in Finland. It's just that the expresssion (Finland.compare_compensation(teacher, engineer) > US.compare_compensation(teacher, engineer)) evals to 1.

Overall, the current Finnish political climate seems to be hostile to industry, and I see no signs of improvement. Elections in a few months, and everyone is a friend of the public sector employees, because they are such a significant part of the workforce and voting base.

Re: Many McGill Education Students Cannot Calculate an Average

#148
post #3

I teach high school, and a colleague of mine went to an education conference a couple weeks ago. She was sitting at a table with three elementary school teachers. They were talking about how to gauge student progress when the students had taken a 100-question test, and a 50-question test. None of the three teachers realized that you had to scale the test scores before making a comparison between the two tests. These…

> I want smart teachers to take control of education so this s* doesn't happen nearly as often as it does. This is the job of parents, not teachers. What does take control even mean? Public school teachers have no control.

> "What does take control even mean? Public school teachers have no control."

If they already had control, then they wouldn't need to take it, would they?

Re: Many McGill Education Students Cannot Calculate an Average

#149
post #91

Oh my god — I can't believe it. A professor of mine in college (I'm currently a freshman — this happened a few months ago) told me a story _exactly_ like this — just at the University of Pittsburgh Masters in Education program and wherein nobody knew (or cared) that 1 was not a prime number. I may be more dumbfounded now than I was sitting in his office during office hours... one is an anecdote, two is pattern.

I think knowing if 1 is prime is almost trivia compared to knowing how to calculate an average. The latter is incomprehensible to me. What age are the students in this anecdote?

Re: Many McGill Education Students Cannot Calculate an Average

#150

I dunno, in elementary schools in the U.S. they start teaching the median by grade 2. The mean is good when you want an actual expectation value (i.e. how much fast do I lose money when I play this slot machine) but the mean is not the tool to use for characterizing and unknown probability distrbution.

Well, CLT does guarantee that most means will follow a gaussian distribution if you repeatedly sample from the same distribution. Also, if you're relying on a single statistic to characterize a distribution, you've got another thing coming buddy. ;) Always report first and second moments, range and/or outliers. Histograms are even better tho binning is tricky. You're right to fear distortion, but changing your one statistic isn't gonna save you.
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