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Secrets of amazing teachers: What both sides of the education debate get wrong

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Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#11

Oh dear. When a student answers that 7/12 is 1.5 and doesn't immediately see why this couldn't possibly be true you know that the problem is rote learning of algorithms. Whoever gives such an answer does not connect classroom learning with the real world, he does not understand what the answer means. You see this often, even in university students. The problem isn't solved with more accountability or more teacher aut…

Excellent point. It happens again in the article with the 55MPH example. The original answer of 18 miles in 15 minutes is clearly wrong because it's more than a mile a minute, and a mile a minute is 60MPH.

I saw this sort of thing a lot when I tutored physics in college. My students would crank through the formulas and come up with an answer. I would point out that their answer says the roller coaster is seventeen light years tall, or the bowling ball weighs less than a grain of sand, and this couldn't possibly be right. I always tried to get them to look at the shape of the problem first, and then look at the details. Otherwise you're just pattern matching, and don't know when you've gone horribly wrong.

It's tricky, though, because you need to strike a balance. Seeing the big picture really well doesn't get the job done if you don't have the mechanics to back it up. If the goal is a precise answer, then knowing that 7/12 is around 0.5 and is definitely not greater than 1 doesn't get you there. But it seems that schools have gone way too far the other way, focusing on the mechanics almost exclusively. The "word problem" seems to be the one concession to the big picture, but even those are taught as pure pattern-matching exercises.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#12

Oh dear. When a student answers that 7/12 is 1.5 and doesn't immediately see why this couldn't possibly be true you know that the problem is rote learning of algorithms. Whoever gives such an answer does not connect classroom learning with the real world, he does not understand what the answer means. You see this often, even in university students. The problem isn't solved with more accountability or more teacher aut…

or, as explained quite clearly in the article, a simple misunderstanding of symbols: the kid interpreted it as 12/7 instead of 7/12.

Two misunderstandings: the kid also thought that 1.5 means 1 remainder 5.

That's a profound lack of knowledge, he does not understand decimal notation. If you do not know what these number symbols mean, how can you communicate using those symbols? It all degenerates into futile pattern matching.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#13

Oh dear. When a student answers that 7/12 is 1.5 and doesn't immediately see why this couldn't possibly be true you know that the problem is rote learning of algorithms. Whoever gives such an answer does not connect classroom learning with the real world, he does not understand what the answer means. You see this often, even in university students. The problem isn't solved with more accountability or more teacher aut…

or, as explained quite clearly in the article, a simple misunderstanding of symbols: the kid interpreted it as 12/7 instead of 7/12.

Which, of course, is still wrong... again, not understanding what he is doing.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#14
post #6
post #5

The best teachers I've had throughout school (preschool to uni) were the ones that were A) passionate about students learning and B) didn't let the curriculum get in the way. Looking back, the inverted-teaching model was what worked best for me (lessons/readings at home, in-class time is used to work on problems & troubleshoot w/ teacher). Unfortunately all the teachers now are following curriculum that encourage spe…

I agree with you in my own experience, but let's face it, we were (I'm just gonna guess here) among the smart kids, and what works well for smart kids isn't necessarily what works well for the average or dumb kids. Maybe dumb kids learn more effectively through different methods.

In the article this jumped out at me: “From the moment our children step into a classroom,” Barack Obama said in 2007, “the single most important factor determining their achievement is not the color of their skin or where they come from; it’s not who their parents are or how much money they have. It’s who their teacher is.”

That's just absolute nonsense or he was pandering to a constituency. Their parents and their family income and where they live are absolutely the most important factors. You take a school where the average kid lives in a single-parent home, with an uneducated, unemployed parent on welfare, who moves three or four times a year, or whose parents are in and out of jail, meth users, or otherwise completely irresponsible and negligent, and you can put the best teachers in the the world in that school and it will still be a failing school on every standardized measure.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#15

Earlier quoted context omitted.

or, as explained quite clearly in the article, a simple misunderstanding of symbols: the kid interpreted it as 12/7 instead of 7/12.

Two misunderstandings: the kid also thought that 1.5 means 1 remainder 5. That's a profound lack of knowledge, he does not understand decimal notation. If you do not know what these number symbols mean, how can you communicate using those symbols? It all degenerates into futile pattern matching.

Yes, yes it is a profound lack of knowledge. But he's still a fifth grader, and once you diagnose the problem (pattern matching gone wrong), you can fix it. In this case, the teacher identified that there was a sloppiness error (note it and allow them to work on being less sloppy using grades as motivation), as well as the misunderstanding of "remainder" vs "decimal part". The goal isn't just to grade the student, but to actually fix the things that are blocking their learning.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#16
post #14
post #6

Earlier quoted context omitted.

I agree with you in my own experience, but let's face it, we were (I'm just gonna guess here) among the smart kids, and what works well for smart kids isn't necessarily what works well for the average or dumb kids. Maybe dumb kids learn more effectively through different methods.

In the article this jumped out at me: “From the moment our children step into a classroom,” Barack Obama said in 2007, “the single most important factor determining their achievement is not the color of their skin or where they come from; it’s not who their parents are or how much money they have. It’s who their teacher is.” That's just absolute nonsense or he was pandering to a constituency. Their parents and their…

Barack Obama said ... "the single most important factor determining their achievement [is] who their teacher is."

An alternative hypothesis is that Obama's intention was to shift the Overton Window. The budget for public education is huge, and it's not unreasonable to assume that some of his campaign donors are associated with charter schools or testing services.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#17

Oh dear. When a student answers that 7/12 is 1.5 and doesn't immediately see why this couldn't possibly be true you know that the problem is rote learning of algorithms. Whoever gives such an answer does not connect classroom learning with the real world, he does not understand what the answer means. You see this often, even in university students. The problem isn't solved with more accountability or more teacher aut…

The human brain is not good at arithmetic. It is an outdated topic to be including in a modern curriculum.

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#18

Oh dear. When a student answers that 7/12 is 1.5 and doesn't immediately see why this couldn't possibly be true you know that the problem is rote learning of algorithms. Whoever gives such an answer does not connect classroom learning with the real world, he does not understand what the answer means. You see this often, even in university students. The problem isn't solved with more accountability or more teacher aut…

> When a student answers that 7/12 is 1.5 and doesn't immediately see why this couldn't possibly be true you know that the problem is rote learning of algorithms.

This doesn't seem right. What algorithm did you learn in school that would produce 1.5 from 7/12?

Re: Secrets of amazing teachers: What both sides of the education debate get wrong

#19
It's true that some teachers have a special aptitude for the job. However, you can't rely on a few exceptional individuals to fix a system that is deficient by design. You need to change the average teacher. This article pays homage to the exceptional but does not address how to change what is typical.

Compare teacher salaries to average salaries in countries with the highest academic performance on standardized tests. The ratio in such countries (e.g. Canada) is almost always significantly higher than in the U.S.. Educational requirements to hold teaching positions are also typically higher. That's the secret to improving teaching quality on a demographic scale. Pay more, but expect more.

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