Workinonit wrote:I would love to hear others responses, experiences with it.
I know very little about it, other than it seems to give many people, fits! What few common-core math problems I've seen, they made no sense at all to me. On a couple of them, the answer could have been almost anything, 3 or 4 different answers. I found that puzzling.
Same here. In fact my response was that the "answer" to any given math problem was not anywhere close enough to be useful. I could see sending a man to Mars using common core math to plot his trajectory and missing his target by several light years because the answer wasn't even in the ball park.
So, here's what I have learned. Let's use a very simple division math problem, 12 divided by 4. Bear with me. OK, how many times will 4 go into 12? Kids answer is "I don't know"
Well, it will go one time, yes?
Kids answer, yes.
Put a one down and subtract 4 from 12
Kids answer, remainder is 8
OK, so how many times will four go into 8?
Kids answer, "I don't know"
Well it will go one time, yes?
Kids answer, yes.
Put another one down and subtract 4 from 8, answer 4
So how many times will 4 go into 4?
Kids answer, one time with a remainder of zero. Yes, put the one down.
So how many ones have you written down? Kids answer 3
Answer to 12 divided by 4 is 3.
Very simplistic description but when I realized what was going on I was struck by lightning. This technique is called (in electronics) "successive approximation" and has been used for decades to convert an analog "signal", for example to a digital answer. Stated another way if you wanted to know the digital equivalent of 10 volts you would do the same process as above by comparing the unknown analog voltage to a reference voltage. If the 10 volt signal was above or below the reference voltage you would create a "one" or a "zero" depending on the result of the comparison. The remainder (residual) would be compared to the reference and again create a one or zero depending on the comparison and so on until you have reached the limits of your A(nalog) to D(igital). With this method one could create a digital equivalent of an analog signal down to less than a tenth of a microvolt and even this depends on your reference voltage and the resolution (how many bits) your A/D has.