email@example.com wrote: > > Hi. I'm curious to ask what methods people use to teach calculus in > school. It has been a long time since I was in school, and hence I > can't remember how I was taught. But, I cannot remember being taught > any way apart from basically rule-based. I.e. if we have an equation > f(x) = x^n then f'(x) = nx^(n-1).
Yuk, why learn "if f(x) = x^n then f'(x) = nx^(n-1)" without having some reason to want to calculate f'? Start with problems such as "What is the area under the curve?" or "What is the acceleration of the vehicle?"
> > Can I ask how calculus is taught in schools these days? Do people start > this way, or is it a matter of just introducing a rule such as the > derivative of x^2 is 2x, and expecting it to be memorised?
Since there is no reason to memorize such a thing, why should it be memorized?
> PS: I've noted some messages on this group bemoaning students' > attitudes to maths.
Excellent! Blame the students for the failings of their teachers!