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Re:Math education: It’s not about numbers, it’s about learni... by dahart on Tuesday July 11, 2017 @12:31PM (#14745537)
Very true, good point, it's much easier and more convenient to do algebra on the symbolic expression. There is a reason math has evolved the way it has. Not using any symbols would suck, no question.

But, nothing about writing math in text prevents manipulating the text, right? You can do it, it would just be laborious and exhausting for people who are familiar with the use of symbols.

Re:Math education: It’s not about numbers, it’s about learni... by Jtsummers on Tuesday July 11, 2017 @12:54PM (#14745757)
It wouldn't just be laborious for those of us familiar with the symbolic notation, it'd be laborious for the new students as well.

Try a "solve for x" problem with the equation described in prose (still using short variable names and numbers though):

  x added to 4 all divided by 3 is equal to 16.
What's the next step in solving this? First, because we're abandoning the conventions of symbolic notation the groupings of equation parts (terms and expressions) becomes a bit hairier. I've tried to be clear, and I think in this instance it is, that "divided by 3" applies to "x added to 4". So we know that we should multiply both "sides" by 3. I put sides in quotes because, well, now there are no sides. An equally valid prose description is:

  one third of x plus four is the same as sixteen
If we lack conventions for expressing these statements we could probably come up with an absurd number of equally valid prose presentations of this one expression. This makes reasoning about the next steps much, much harder, as we first have to parse a near arbitrary expression and then discern the author's intent (and seek clarification for more complex ones).

  the result of dividing four and x by three is sixteen.
By the time you settle on a subset of english for prose math specification you'll be down to such a small or specialized portion of the language that you might as well add back in the symbols and at least lose the English dependency for your work so you can collaborate with people around the world.

There's a reason a good portion of elementary mathematics was spent on "word problems", where we reduced problems like this down to their essential equations (a process of abstraction, though not described to us as such). Usually you'd see the above as something like:

  Andrew has some number of apples. Billy gives him 4
  more. He splits the apples evenly between himself,
  Billy, and Charlie. Everyone has 16 apples, how many
  did Andrew have to start with?
All that other crap is noise. Just like in the prose version of the equation "the result of ..." has no value in trying to solve the problem.
Re:Math education: It’s not about numbers, it’s about learni... by dahart on Tuesday July 11, 2017 @01:52PM (#14746302)
I completely agree it would be more laborius, including the beginner.

Maybe I didn't make my point clearly. I'm not arguing against the use of notation or symbols. I'm asking whether Greek specifically is slowing learning down or intimidating people from starting. I'm asking whether learning the symbols with the concepts is the most efficient way to learn math, not whether it's the most efficient way to do math.

Maybe the laborious way is better if more people are comfortable starting that way, and easing more slowly into symbolic syntax.

Maybe there's a more compelling story about math that will get more people interested in it than teaching what symbols do.

If Greek is intimidating enough that many people never start, it doesn't matter how actually laborious the symbols are or not, the battle is lost.