the Abstract Algebra and differential equations were for high school. Middle school teachers only need Algebra (er... concrete algebra? I kind of thought algebra was abstract in and of itself) and calculus through integrals. Doesn't that make you feel better?
A little. Very little.
Abstract algebra:algebra::algebra:arithmetic, in abstraction. once you've mastered that 2+2=4, and 2+x=4 -> x=2 and x+y=4 describes a line in the (x,y) plane, you can start talking about what you can say about a set if you know that it' elements are closed under some operation * and don't have the commutative property. That sort of thing. Fun, in a fairly mind-blowing sort of way that I'm not sure should be readily available to high school students.
I thought that was number theory, though.
I guess I should know this stuff, huh? I'm pretty bad at taxonomy, to be honest with you. Maybe History of Math will help with that?
Connie, my dad has one that I don't think he uses anymore. Want me to see if he wants to sell?
Certainly, I'd be very grateful. I have to stop making elephant jokes about Hubby now.
Number Theory is more concretely about numbers and how they behave while Abstract Algebra deals with elements that have certain properties that may or may not be illustrable with numbers. Most of what I remember from Number Theory had to do with primes, but I didn't have a very good professor.
And History of Math helps with a lot of things, I found.
We've got a good thunderstorm going, power threatening to go out, and I am alone in the office. Good thing the computer is on an UPS.
This is the day that never ends. My cranky goes to eleven. Look, right across the board, eleven, eleven, eleven and...
Someone will be over right away to take care of that.
Can you see if Danny Masterson is available?
outside, not as hot or sticky as I feared.
ita, Best Buy and Circuit City have them online, so I assume they'd have them in store also.
Timelies! Aaand that's about all I got. "Not bad for a Monday" is about all today has going for it.
At least the instant summer has abated slightly. I just can't deal with summer when it gets dropped on me like an anvil. Especially when I'm trying to get a whirlwind trip to Maine in, so I'm stuck for 5 hours in my car w/out ac.
Abstract algebra is things having to do with properties of groups and rings and fields, and stuff related to that.
From looking at those requirements, it looks like what they're requiring for each level is that you know one level higher than what you'd probably be teaching, and that you know the subjects that are the more abstract concepts behind the more concrete things you'd be teaching.
