3 ms·
> I vote for a much tougher algebra course I've played with the notion in my head of teaching something rigorous (but not arduous) like basic Group or Ring the
by thearn4 11y ago
> I vote for a much tougher algebra course
I've played with the notion in my head of teaching something rigorous (but not arduous) like basic Group or Ring theory somewhere in HS. Perhaps in place of the rather large amount of time spent on the algebra of second-order polynomials? Hard to say. I'll admit I have zero training in pedagogy.
- arthur_pryor 11y agoi've thought for a while that a good survey philosophy course would be a great thing for high schoolers. it could introduce a certain sort of rigor (not quite the same as a programming class where things have to run, or a math class where you have to write proofs, but important and maybe easier for many to grasp at first). plus, it'd introduce a wide variety of other belief systems, things like the need to honestly address objections the other side might have, etc. but a good CS course would be great too, because computational literacy and facility/comfort with computational thinking are only becoming more important for making it through the world and having some control over your own fate.
- ArkyBeagle 11y agoThe course that made it for me was based on "Transition To Advanced Mathematics" by Egger , Smith and St. Andre. Just learning the actual proofs ( beyond calculus style proofs ) techniques was a big leg up, especially induction and contradiction.