Thursday, May 14, 2009

Clueless in State College, PA

I was planning to do "Clueless II: U.S. Business just as stupid as our politicians", but this bit of cluelessness got in the way.
I've been searching for the article in my local paper archives, but so far no luck. We'll wing it with just the basics.
In State College PA, home of Penn State University, the local school system has implemented a new math system called "Investigations". It will supposedly help kids to '...understand numbers'. Fine. What I don't understand is how you can justify marking a child wrong, for ANY reason, when he divides 300 by 25 and gives 12 as his answer.
"Blah blah isn't an exact science..." is a common refrain. Unfortunately for the clueless school system of State College PA, math IS an exact science. No matter how you figure it out, there is only one answer for any particular question.
The question? If a room full of school kids are counting by 25, how many kids will have counted when one of them says "300".
The student in question answered "12". He was marked WRONG.
HUH?!?
"Investigations" requires you to explain how you arrived at your answer. This can be a few sentences, a diagram, or the old school method, showing your work.
The students explanation? "300, divided by 25, equals 12". Sounds simple enough. The childs father, a PHD holder, thought so too. He questioned why his son's answer was marked wrong.
The schools explanation? The students answer was correct, but his explanation was too simple.
HUH?!?
An example of an acceptable explanation: "You know that there are 4 25's in 100. And you know that there are 3 100's in 300. So 4 times 3 equals 12."
So, essentially, the student was punished for being smart enough to simply divide 300 by 25 and arrive at the correct answer.
Yes, I'm old. But it remains, as I was taught so many years ago, that math involves taking the numbers you are given and manipulating them to get the unknown number.
We were encouraged to do this as simply as possible. Why? Because the fewer steps involved in arriving at your answer means less chance of making a mistake.
300 divided by 25= 12. One step.
100(not given in the question) divided by 25= 4. 300, divided by 100(still not given in the question)= 3. Two steps.
4(also not given in the question) times 3(guess what? Not given in the question) = 12. Three steps.
Do you see what I see? I see two unneeded steps. Two more chances to make a mistake and arrive at a TRULY wrong answer.
Occam's razor says that the simplest explanation is usually the best explanation. Too bad Occam wasn't grading this student's work.
The easiest method that I was taught to use for math sounds alot like Occam's razor. The student's explanation is the definition of Occam's razor. And old Occam was correct, except in a certain State College PA school system.
Dad started an online petition to have "Investigations" removed from the school. It is currently in use in one elementary school, and one middle school. The school is pressing ahead with phase two of "Investigations".
Find the petition and sign it, before another clueless school system turns out a generation of students who can't think straight.
If I find the article I will update this post with information to get you to the petition.

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