65 karma · joined August 1, 2013
And yes, teachers do share lesson plans, both online and within their schools.
I wonder if the benefit would decrease if the practice became more common though. Would I start expecting my coffee to be free, and become disappointed when I had to pay for it?
There are true monopolistic firms like Comcast or Time Warner, where there are serious logistic/economic barriers preventing other firms from entering the market. This doesn't seem like one of them to me.
Note also that it's 1 in 30 million babies that actually hatch that survive, not just 1 in 30 million eggs.
The most frustrating type of documentation for me is when there are usage examples but nothing else. Then, when I invariably want to use the library in a way that's slightly different than the provided example, there's no documentation available.
Even if that works well for 99% of people, it could have seriously negative effects for some. After all, a 99% accurate ML algorithm still leaves 1% of "innocent" customers with no way of getting affordable insurance.
1) You need to be able to do basic calculations before you can do advanced proofs. I taught a lot of high school seniors, and I had a ton of students who were smart enough to handle abstract concepts, but couldn't follow along when I showed them cool proofs because they got caught up on the basic calculations (because they hadn't learned them well in middle/high school).
2) Good high school teachers DO do a lot of pattern recognition/abstract reasoning. That's the entire idea behind a discovery lesson and constructivist teaching - having students learn formulas by discovering patterns and reasoning about them.
3) Again, as he points out, American high schools do do proofs in Geometry. He thinks they're really pedantic, but there are good reasons why 2-column proofs are so tedious. For one, students seeing proofs for the first time freak out, so giving them structure helps. For another, if the students write out every single step, it's easier to identify who really knows his/her stuff and who's BSing.