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- Complex ideas can always be broken down into simple notions. I shouldn't have a lesson that I can't explain in a simple sentence.
- Math can always be visualized. There is no reason to have a lesson that doesn't also have a graphical & interactive component.
- Math is more of an exploration than a set of equations to memorize. Lessons can branch off due to different questions, and a learner should be free to follow their questions instead of a single set path.
- I'm working on abstract algebra first - that is, algebra as applied to patterns of all sorts and not just for numbers. From there, linear algebra seems to be a helpful tie-in (matrices and vectors - extremely useful in computer graphics, amongst other things).
- Statistics! This seems to be a much-asked-for field, and I have some basic ideas already (for example, what is a bell curve, how do we get it, and why is that important?).
- User accounts to track progress, once I have enough pages up for that to be worthwhile.