mathematics is not that scary...
first year calculus is very achievable in middle-school if the student has the passion, and the aptitude to handle symbolic manipulations, and all that comes from a solid primary education.
Yeah, years nine and ten mathematics was such a waste of time. I think the idea of solid foundations are taken too seriously. Things like calculus are not difficult, as soon as you learn gradients and polynomials the first time you can get calculus. They just hold it back from you.
actually, it has not been taken seriously enough, particularly in the primary level.
Algebra need to be introduced early! and a solid base in handling symbols need to be established before anyone should learn calculus... otherwise it's just like dummies following procedures...
Yeah I agree that there needs to be more taught at the primary level, they basically don't go further than the most basic of basics. But I was more referring to the secondary level. I believe a year nine student <i>can</i> handle basic differentiation as long as they understand polynomials, algebra, and ideas about gradients and rates.
Similarly, in year eleven they don't teach you the chain rule, product rule etc. but why not? It's not as if the concept is too difficult to get your head around. You learn antidifferentiation but you don't learn its applications and uses to find area bounded by the graph and the x-axis (btw this is based on Maths Quest 11 Mathematical Methods). I just think that where the course can take that one step further it doesn't. But that's just my opinion.