I don't want to scare you off. Grad school was a great time. I had a TA and taught throughout my graduate work. And, I mean, being a prof can be a good gig at the right school. You teach a few classes, work on some research, pick up some grants. It could be really cool.
All I'd like is to assign a HW set and have half of my students put in a good effort.
Math is such a vast subject. It can go from being completely applied to completely theoretical. But it seems like most math teachers have no idea what a mathematician does. It would be like if an English teacher had no idea what a poet does. I just feel like if someone is going to major in a concentration then they should be held accountable for learning what is required.
These math/ed majors cringe when I ask them to do a proof. They completely fail to realize that proofs are what make mathematics what it is! We would have nothing in mathematics without proofs. They think a proof is this waste of time. I just don't get it. What's the point in seeing a theorem in a math class if you don't know why it holds?!?!? And these people will introduce the concept of proof to high schoolers... It should be illegal to send them off into a classroom. Even worse, I can give them a theorem, and they can't even figure out how to apply it. There is no foundations in basic logic.
Teachers make good money, they have good hours, they get good benefits. If we gave the teachers some more control of the classroom, maybe we could get some better people into the field. Right now, I think a lot of the best math teachers are the engineers who retire and then get a certification and go and teach. At least they know the content.
This whole attitude of dumbing down the classes makes my skin crawl. I think about the great professors (and teachers alike) that I have had, and they all love the subject that they teach, they research the subject that they teach, and they have high expectations for their students.
I feel like when you lower expectations, the students just lower the amount of effort that they will put in. You will get the same students to do well, and you will get the same students who will fail, and the majority in the middle will float along and do the minimum amount to move on. I feel like lowering expectations just turns off those few who could actually get something out of the class.
Sorry for my depressing pondering. Tomorrow is another day.