In today's Star-Bulletin,
http://starbulletin.com/2005/03/21/news/story3.html
The way it goes IIRC according to what I heard is that
some questions can be taken in ways other than what to
you and me, might be obvious. From our experience, we
zero in on what could be obvious solutions. Actually,
this "obviousness" is a measure of our maturity and
experience rather than math reasoning.
Especially a young student, or one from a different
culture (we have many in Hawaii) will just use pure
reasoning to figure out the question, and solve the
word problem according to how he understands the
question. So for example, if the question asks how long
a drill to drill a hole in the middle of a 2X4, then a
number of sizes (answers) are (acceptable) possible
depending on how the students reasons the problem: 2
inches (flat side), 4 inches (edge), 1 foot (end to
end), more than 1 foot (corner to corner), etc.
All these holes go through the middle of the board,
although parents might think that only one answer is
correct. If they can draw a picture of how the hole
looks like, or describe it's location, then they get
full credit no matter where it's location. Word
problems are scored a little like an essay question.
And if the scorer cannot figure out what is the
student's answer-- one big problem I guess is not
circling your calculated answer on a sheet full of
numbers-- then there is no credit.
Having word problems is a good practice. It goes a long
way back before multiple (guess) choice SAT tests. And
it's actually the way math is used in the real world.
In theory, it's should raise scores because it allows
more than one answer. But parents think otherwise. I
guess parents also need to learn how to do these
problems, before they have the right to criticize.
--alvin