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Topic: Simplifying Algebraic Expressions with Subtracted Expressions
Replies: 67   Last Post: Nov 25, 2013 12:57 PM

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Joe Niederberger

Posts: 2,923
Registered: 10/12/08
Re: Simplifying Algebraic Expressions with Subtracted Expressions
Posted: Nov 15, 2013 11:27 AM
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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 picture-based 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 off-hand.

Cheers,
Joe N


Cheers,
Joe N


Date Subject Author
11/11/13
Read Simplifying Algebraic Expressions with Subtracted Expressions
MVTutor
11/11/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/12/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/12/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
MVTutor
11/13/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Jonathan Crabtree
11/13/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Louis Talman
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Louis Talman
11/21/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/21/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Louis Talman
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
GS Chandy
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
GS Chandy
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/22/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/23/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
GS Chandy
11/24/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne

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