
Re: Simplifying Algebraic Expressions with Subtracted Expressions
Posted:
Nov 15, 2013 11:27 AM


R Hansen says: >I assume you are equating "graphic" with "symbolic"? Can you elaborate?
I would call it geometric  you are discovering things about quantitative relationships through geometric representations. (Certainly its not proof based geometry, but so what?) The most fundamental point is that one is manipulating *representations* to discover things about that which is *represented*.
Now, these representations have a limited utility, as you have been quick to point out. How much better to use a nice invention like alphabets and arabic numerals. Now, they have a limited utility as well. How much better to use electronic blips... and so on.
More seriously, one could attempt to make a hard, sharp distinction between such geometric or picturebased representations and alphabet based representations. Probably someone has tackled that definitional problem head on with precision somewhere, but I can't think of a nice reference offhand.
Cheers, Joe N
Cheers, Joe N

