home *** CD-ROM | disk | FTP | other *** search
- Path: sparky!uunet!news.centerline.com!noc.near.net!hri.com!spool.mu.edu!yale.edu!qt.cs.utexas.edu!cs.utexas.edu!swrinde!network.ucsd.edu!ucsbcsl!epilogue.mcl.ucsb.edu
- From: unicef@epilogue.mcl.ucsb.edu (Joel Rising)
- Newsgroups: sci.math
- Subject: Why Algebra...Important
- Message-ID: <7459@ucsbcsl.ucsb.edu>
- Date: 23 Jan 93 01:23:26 GMT
- Sender: root@ucsbcsl.ucsb.edu
- Lines: 39
-
- In article <190744.12287mccarthy@washpost.com>
-
- >The failure of people to use mathematics intelligently is, IMO, due to
- >this failure to use symbols. It is similar to the problems in using
- >natural languages to communicate
-
- Certainly true.
-
- Look what language has done for us. Not only allowed us to communicate,
- share, work together on problems. It's allowed us to codify objects and
- experiences, thereby allowing us to see relationships between them,
- perhaps juxtapose them so that we can see new relationships, ones we
- otherwise might not have uncovered thru experience.
-
- Math is a language, but a far more powerful one. To convince youself,
- write out some equation, and then try to describe all the relationships it
- embodies. It's not just "x=ky" but also "x is proportional to y" or "as x
- goes up one, y goes up by some factor k." Relate the variables to some
- real-world quantity, and the equation becomes even more rich with
- information. Perhaps a whole paragraph could be gleaned from "x=ky."
-
- The point is, whereas language allowed us to see relationships between
- words and sentences, Math allows us to see relationships between
- paragraphs, pages, perhaps whole chapters of information. And so we can
- begin to see relationships we otherwise wouldn't have.
-
- Imagine if we could agree on some standard symbology, and then use it to
- codify some of the world's truly huge ideas. What new relationships might
- we see? Could we find some way to model the process of evolution? Could
- the causes of world poverty, hunger, disease be parameterized, and thereby
- avoided?
-
- Of course great minds are out there working on these things. But society
- in general is not yet capable of this next level of manipulation. And it
- never will be if kids don't learn some algebra, or some other type of
- symbolic manipulation.
-
- Just another undergrad,
- unicef@next.mcl.ucsb.edu
-