
Re: Brainstorming about STEM (was About Functions)
Posted:
Dec 13, 2011 2:42 PM


> Dan said: > > "You are using the word "function" in at least two > different ways. It might confuse students. There are > biological or mechanical functions and computer > software functions  all involving actions of some > kind, be they actions of electrons, molecules, cells > or larger parts in the physical world  and there > are mathematical functions that are abstract > relationships between two or more sets of objects. > (And others, I'm sure.)" > > That's right  and from there one can go on and muse > about how and why the math meaning of the word > "function" has become so abstract and inert.
For most students, a "blackboxinputoutput" model of functions will suffice. I am, however, focusing more on students tending to proofbased mathematics in their immediate futures. It would be nice if everyone could master these "abstractions" and the basic methods of proof, but few are motivated to do so. I hope my little video and my software will help a bit in this regard.
http://www.youtube.com/watch?v=KeqNdSmhubQ (YouTube) http://www.dcproof.com/BarberParadox.ppt (Power Point)
Dan http://www.dcproof.com

