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DanArmak comments on Rationality Quotes April 2014 - Less Wrong
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Former teacher confirming this. Some students are willing to spend a lot of energy to avoid understanding a topic. They actively demand memorization without understanding... sometimes they even bring their parents as a support; and I have seen some of the parents complaining in the newspapers (where the complaints become very unspecific, that the education is "too difficult" and "inefficient", or something like this).
Which is completely puzzling for the first time you see this, as a teacher, because in every internet discussion about education, teachers are criticized for allegedly insisting on memorization without understanding, and every layman seems to propose new ideas about education with less facts and more "critical thinking". So, you get the impression that there is a popular demand for understanding instead of memorization... and you go to classroom believing you will fix the system... and there is almost a revolution against you, outraged kids refusing to hear any explanations and insisting you just tell them the facts they need to memorize for the exams, and skip the superfluous stuff. (Then you go back to internet, read more complaints about how teachers are insisting that kids memorize the stuff instead of undestanding, and you just give up any hope of a sane discussion.)
My first explanation was that understanding is the best way, but memorization can be more efficient in short term, especially if you expect to forget the stuff and never use it again after the exam. Some subjects probably are like this, but math famously is not. Which is why math is the most hated subject.
Another explanation was that the students probably never actually had an experience of understanding something, at least not in the school, so they literally don't understand what I was trying to do. Which is a horrible idea, if true, but... that wouldn't make it less true, right? Still makes me think: Didn't those kids at least have an experience of something being explained by a book, or by a popular science movie? Probably most of them just don't read such books or watch those movies. -- I wonder what would happen if I just showed the kids some TED videos; would they be interested, or would they hate it?
By the way, this seems not related to whether the topic is difficult. Even explaining how easy things work can be met by resistance. This time not because it is "too difficult", but because "we should just skip the boring simple stuff". (Of course, skipping the boring simple stuff is the best recipe to later find the more advanced stuff too difficult.) I wonder how much impact here has the internet-induced attention deficit.
What do you think about these other possible explanations?
Some of these students really can't learn to prove mathematical theorems. If exams required real understanding of math, then no matter how much these students and their teachers tried, with all the pedagogical techniques we know today, they would fail the exams.
These students really have very unpleasant subjective experiences when they try to understand math, a kind of mental suffering. They are bad at math because people are generally bad at doing very unpleasant things: they only do the absolute minimum they can get away with, so they don't get enough practice to become better, and they also have trouble concentrating at practice because the experience is a bad one. Even if they can improve with practice, this would mean they'll never practice enough to improve. (You may think that understanding something should be more fun than rote learning, and this may be true for some of them, but they never get to actually understand enough to realize this for themselves.)
The students are just time-discounting. They care more about not studying now, then about passing the exam later. Or, they are procrastinating, planning to study just before the exam. An effort to understand something takes more time in the short term than just memorizing it; it only pays off once you've understood enough things.
The students, as a social group, perceive themselves as opposed to and resisting the authority of teachers. They can't usually resist mandatory things: attending classes, doing homework, having to pass exams; and they resent this. Whenever a teacher tries to introduce a study activity that isn't mandatory (other teachers aren't doing it), students will push back. Any students who speak up in class and say "actually I'm enjoying this extra material/alternative approach, please keep teaching it" would be betraying their peers. This is a matter of politics, and even if a teacher introduces non-mandatory or alternative techniques that are really objectively fun and efficient, students may not perceive them as such because they're seeing them as "extra study" or "extra oppression", not "a teacher trying to help us".
It could be different explanations for different people. This said, options 1 and 2 seem to contradict with my experience that students object even against explaining relatively simple non-mathy things. My experience comes mostly from high school where I taught everything during the lessons, no homeword, no home study; this seems to rule out option 3.
Option 4 seems plausible, I just feel it is not the full explanation, it's more like a collective cooperation against something that most students already dislike individually.