I'm currently teaching science at a secondary level in Thailand, but it's looking more and more like I'm going to have to take over for the Math teacher - who is leaving - next semester. This is upper secondary level mathematics, so we're talking Algebra II, Trigonometry, and basic, basic Calculus. I majored in Physics and Computer Science, so I've got a pretty strong math background. But in thinking about how to present these topics and making sure I hit all the important points when giving a lesson, it would sure be nice to have Math.se as a resource.
So may I ask questions about how to teach Math at the secondary level? What sort of questions would be kosher and what wouldn't?