Tips & Resources for Aspiring Secondary Math Teachers

AI Thread Summary
Aspiring secondary mathematics teachers are seeking resources and discussions related to classroom management and teaching strategies. There is interest in the value of joining the National Council of Teachers of Mathematics (NCTM) and whether membership is beneficial, with some skepticism about the National Education Association (NEA). The conversation touches on the usefulness of advanced mathematical software like Mathematica, Maple, and MathCAD, emphasizing that while these tools can enhance learning, they should not replace fundamental skills. A previously contentious thread is mentioned but discouraged from further discussion. Overall, the focus is on practical teaching resources and the integration of technology in math education.
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I am an aspiring secondary mathematics teacher here in the states. what i want to know is are there any posts/discussions on things that deal with the classroom? i am putting this post here, since this is HW help K-12. can anyone tell me? also, does anyone here belong to NCTM (National Council of Teachers of Mathematics)? is it really worth paying for the membership? is your school/university have a chapter with them?
 
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Not sure about the NCTM, but I would stay away from the NEA.

Here is a thread that got out of hand, but you will find it interesting. But please don't post to it, as it should be allowed to die its natural death:

https://www.physicsforums.com/showthread.php?t=32000
 
thanks a lot. i see by reading it that division by polynomials is useless sometimes, but in mathematics, don't we need to look and find ways why it "doesn't" work? also, i feel that there is no need to post anything new, becuase towards the end of the post, it is very true. most of the differentation can be done by hand, not only with mathematica.

btw, i am a novice to this whole mathematica program. what are the benefits that a future educator could reap from this, or is it too advanced for today's secondary schools?
 
I think Maple/Mathematica/MathCAD are dynamite at the high school level. Just don't let them use it as a crutch.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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