Tag Archives: tests

Another “must read”, on test grading, new style(!)

When I got to the sentence

“If it doesn’t take a person with subject knowledge to score the essay, it doesn’t take a person with subject knowledge to write it.”

I thought of Todd Farley and his book “Making The Grades”‘

” Plus ca change, plus c’est la meme chose” (pardon my French, and excuse the lack of accents)

So go and read the rest : http://curmudgucation.blogspot.com/2015/06/mcgrading-mctest.html?

and then read Farley’s  book.

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“I did my best to pass the test”

I did the sums, no hesitation.
But then it asked for explanation.
“I know it’s right”, I wrote down fast,
“I understood from first to last!”.
“I’m going to be a mathematician,
“Not a fingernail technician!”.

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Long division, the explanation.

Since the kids have to explain everything in the new CCSS math standards,

they better have this under their belt, even if they have to learn it and parrot

it out in some test or other (careful, cynicism is not always just round the

corner).

So, here is a long division calculation for you, 32 divided into 2768, or if you

prefer the old fashioned, only used in schools notation,   2768 <the old

fashioned division sign, not on my keyboard>  32. (and < and > are not

representing inequalities at this point).

Division is at bottom repeated subtraction, so we do it:-

32)2768    100×32 = 3200 is too big
2560   so take a smaller multiple (in 10’s)
——   Choose from 90×32=2870, 80×32=2560 (OK!)
208   and subtract,leaving 208, and 10×32=320
192   So try 6×32=192 (OK!). 7×32 is too much.
—-   Subtract again, leaving 16,which is less
16    than 32 and so is the remainder.

So 2768 = 90×32 + 6×32 + remainder,
which is  96×32 + 16,
and so 2768 divided by 32 is 96  with remainder 16

The End

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