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by anonemouse145 3057 days ago
This.

For instance, we all probably had to go through math classes where the professor writes so fast that it's a hand cramping race just to even scribble together enough notes to follow each gigantic derivation later for learning purposes. Nobody in that class is retaining any of that.

The kid who aces that class, is almost invariably someone who likes to to play with the equations in their free time at their own pace, so they get a feel for what process they need to employ toward a solution rather than brute forcing it. (When applicable, sometimes brute force is the only tactic.)

Math classes in general really, desperately need to slow down and let students grasp higher-order concepts. The number crunching method is stressful, and all it does is massively discourage bright people who may be geniuses in their field but flee University because the school made Calculus their "breakout" class.

Anecdote. When I went to University, I had a professor who graduated MIT tell the class that he'd realized how much pressure we were under in our Calculus class trying to keep up, that this was deeply unfair, and that he was erasing our last test score because they were unreflective of the performance that he knew we were capable of if we had any time for his class. Calculus was a core requirement, his class was elective, so almost every student had been forced to ignore his class, and we were amazingly lucky that he was good enough to sympathize.

This man used to work at Bell Labs and swam 200 laps a day to keep fit. And he was telling us we had it rough. I saw people cry out of gratitude.

2 comments

Anecdata: I didn't grasp any of algebra until 10th grade. From about 7th to 10th grade chemistry class, I was just winging it. Sure, 10x=30, I could get x. But any of the trig or the parabolas, not a chance. It wasn't until chemistry, when I actually had to use algebra to get the molarity, moles, grams, etc, that I was able to grasp it. I remember sitting in class after the bell let out, on my desk, just doing the molarity equations over and over. It was one of the largest smiles of my life. I finally got it.

So, math happens when it happens. Maybe, yeah, I was a little retarded from the rest of my peers in grasping this idea of algebra. But I did get it eventually, when I needed to use it, finally. Saying that math is 'hard' isn't the best way of going about it. Everyone is different and learns differently and at different times. Some may not be able to get 3rd year Calc until they are 30, some get it at 15.

I tapped out of formal math classes at number-theory at ~22. Diff-eqs, Lagrangians, General Relativity, all fine with me, but number theory was a whole different level of pedantry I was not about to dive into.

It wasn't until chemistry, when I actually had to use algebra to get the molarity, moles, grams, etc, that I was able to grasp it.

There was this study that found this kind of difference in application. People were given a logic problem phrased abstractly. Then other people were given the same logic problem, but phrased in terms of catching someone cheating at something. It was like people's IQ's suddenly greatly increased.

I also remember an anecdote about this father coaching his kid through the multiplication tables, which the kid didn't like and had trouble with. They were riding in the car quizzing the kid, who was not doing well, but then the kid asked to do the 7's, which he rattled off with aplomb. Turns out, the kid really liked football. (US football)

Nice ones!

I think application is important, but the diversity of what a child will care about is crazy large. You can't reach them all. My SO is a teacher (of chemistry, ironically) and some kids get the material and some just don't. It's not a lack of trying, it's just that they don't get it. As such, the frustration of the child comes out and makes things worse. Good family lives are very important throughout their lives and help, but some kids just aren't going to get certain subjects. We're all different people.

I think your first reference is to the Wason selection task:

https://puzzlewocky.com/brain-teasers/the-wason-selection-ta...

What a hero. In my opinion academics often take their role quite a bit too seriously. They are not aware that their role outside of the actually practice related subjects is mostly to be a brain teaser.
It's heroic to give someone a passing grade in a college level class when they can't keep up with a college level workload?

I think that its just fraud.

A hero for realizing being just another minor data point for most of his students lifes.
It is sacrificing his academic creditably for the good of his student's gpa.
In a perfect world, neither group would care about either of those things.
I can see how GPA imperfectly measures a student's knowledge/intelligence. However credibility and honesty should be valued in a perfect world.
It's not a perfect world.