Again, I amaze myself. You only have to fall down once in order to learn the lesson.
...Okay maybe that's not true. Maybe twice. Or thrice. (I can't believe that's a
word)
Anyways.
My brother asked for help on calculus. I stared at the first question. And stared. ...And stared. "Where's your textbook?" *look for an example*
And stare. Blankly. Hmm... I wonder what color I should where tomorrow? (Get the picture yet?)
Wait! Do this, this, this, then this and...
voilà!! Oh. Oops. Nope don't do that. Do... This! Whoops. Nope. Not that. Um... "Well I tried this and this, but it didn't work out. Maybe if I did this and..." Hey look, there was a math error back there.
From that point on, I was on top of that assignment! (I bet you never thought you could get a rush from doing math)
Lesson learned: You can always make a math error...
Second lesson: the first derivative of an equation evaluated at a point is the slope of the tangent line. The derivative is not the equation of the tangent line. Duh. If I had realized that sooner, I wouldn't have stared so long in the beginning.
Maybe I should become a regular tutor. I enjoy helping people and doing math and science...
I would be an evil teacher. Probably hated. But I can almost guarantee that my students would know the material. Reasons:
1. In a 60 minute perfect class: 10 minutes for a quiz on the day previous material, 30 minutes answering homework questions, 20 minutes solving the quiz and going over new material. I think its absolutely important to make sure everyone understands what was just covered. And quizzes encourage attendance.
2. I would be the kind of teacher who makes 2 or 3 tests worth 90% of your grade, 10% on class input. The ultimate test grade would be swayed by the quiz and homework scores, but until the end, no one would know by how much. Have to keep the element of surprise. (more on this in a second)
3. My first test would be next to impossible. And on a curve. That way, everyone looks like they're failing throughout the semester. Not failing miserably, but just on the edge of success. Then, they will give 100%, all the time. I will hang the carrot in front your nose to keep you going...
4. I would write a different test for each class, (no cheating, now) but use all quiz and homework questions. (I'll cheat for you) Except on the first test. I have to break everyone down.
Sounds like boot camp.
5. Um... Let's make another number.
6. In a math class, the process matters the most. If you think 2+2=5 like my sister, well then you're an optimistic economist or you tried to drink and derive. Don't go into accounting or engineering.
7. Oh, yeah, almost forgot. That 30 minutes answering homework questions would be taught by the students. Every student will have to answer another person's question. Teaching is the best way to learn. Plus they'd learn public presentation skills.
8. By the end, I would have figured out whether or not you understood what I was teaching, and if you did, well, you passed. If you didn't, see you next year for round 2!
There you have it. Nathan's 8 (7) points to a perfect class.
*Bonus:* 9. If I'm teaching math, pens will be outlawed. If I receive an assignment in pen, all the points you would've gotten become negative and suck away from your total score. Pens suck life away from math.
And my previous math student got 100% on a final.