Originally posted by mjr
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Is this a "common core" problem?
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Originally posted by KabeRinnaul View Post-but everyone hates it cause it's different.
Originally posted by mjrIrrelevant to the discussion. The fact of the matter is that 5 x 3 is NOT "five groups of three". It is, in fact, "three groups of five".
For the umpteenth time, this is an alternative method of problem solving designed to prepare a student for more advanced math. Just because you personally don't like it doesn't mean shit in the grand scheme of things. Improving education standards isn't being done solely to please you specifically.
So if you have any actual, real argument beyond "I don't like it so its wrong" by all means. Otherwise, lets move on to something actually relevant.
Originally posted by mjrWhile true, the mathematician (with a PhD, I might add) who was originally supposed to be a part of developing the math part of the CC said he couldn't endorse it once they got done with it. I think that's mentioned in one of the videos.
And btw, his name is Jason Zimba since you can't be bothered to do even that much research into your own argument.
Originally posted by mjrDoes it really matter? The bottom line is students AND parents are struggling with this.
You've been ranting about this for a couple of pages now and yet don't even seem to know what CC is let alone who created it or how. But somehow you seem to think you're qualified enough on the subject to tell us what is or is not wrong math.
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Originally posted by mjr View Post
Or maybe this:
Subtract 270 from 530.
Again, most of us would just do this:
530
-270
-----
260
Which is not, supposedly, "Common Core Friendly", even though, again, the answer is correct.
The "common core" way is to add 30 to both numbers first, ending up with 560 and 300, and THEN subtract..
Why is that wrong to teach?
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mjr, just to set the record straight, what you're saying is had the opposite happened, and the student had answered 5 x 3 with 3 + 3 + 3 + 3 + 3 and the teacher marked that wrong and corrected it with 5 + 5 + 5, you'd be perfectly fine with it because 5 + 5 + 5 is, as you say, "the correct way"
And the reason that 5 + 5 + 5 is the correct way and 3 + 3 + 3 + 3 + 3 is the "wrong way no matter how you slice it" is "because it is."
I just want to make sure I have this correct.
I mean, I do think the teacher was picky in the correction, since the student used the same prescribed method, just in a different order, but it sounds like you're saying there's only one correct order, rather than two equally valid orders.
Originally posted by mjrAgain, most of us would just do this:
530
-270
-----
260
I'm not saying that the new way (or the old way) is better or worse than the other. But I bet you if we lived in a parallel universe where the "new math" were the status quo and the "old math" was what was introduced, we'd have just as many people up in arms about how the newfangled way with borrowing numbers and stacking them on top of eachother is really confusing and also some veiled attempt at having kids practice witchcraft and become communists when they grow up.
This is a good explanation (read accepted answer). Basically, they are introducing this in addition to a few other strategies to do simple math in your head. Some strategies work better than others depending on the numbers involved and what you're trying to figure out.
Frankly, I wish they had done a lot more of mental strategies when I was in school, instead of spending 90% of the time having us do paper-and-pencil math. We did do a few mental strategies, but not nearly enough.
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Originally posted by Aragarthiel View PostYou do know "Because it is" really isn't a legitimate reason, right? WHY is it? Because you weren't taught that method? That doesn't make it wrong.
Why is 2 + 2 = 4? No matter how hard I try, I can't make it equal 1. Or six.
And simply because I wasn't taught a method doesn't make it right, either.
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Originally posted by Gravekeeper View PostIt is completely relevant to the discussion. You can't rant away about the lesson and then say that the lesson is irrelevant.
That is just one way of solving the problem.
For the umpteenth time, this is an alternative method of problem solving designed to prepare a student for more advanced math.
Improving education standards isn't being done solely to please you specifically.
Help your kid with his homework, get the questions right, and have the worksheet come home marked with red because you wrote a correct answer, but it wasn't "Common Core" friendly, and then we'll see how you feel.
"I don't like it so its wrong"
No, he didn't and no he hasn't. Like many of the CC authors, what he's frustrated with is how CC was turned into a political talking point and how difficult the implementation of CC has been as a result.
And btw, his name is Jason Zimba since you can't be bothered to do even that much research into your own argument.
Yes, it does because otherwise you're just throwing a bunch of shit out like it proves anything without even articulating what it is you're trying to argue to begin with.
The simple FACT of the matter (and I can't believe I'm having to state this AGAIN) is this:
5 x 3 is NOT (per the way the question is worded) "three groups of five".
You've been ranting about this for a couple of pages now and yet don't even seem to know what CC is let alone who created it or how. But somehow you seem to think you're qualified enough on the subject to tell us what is or is not wrong math.
In fact, here are the eight "standards":
Make sense of problems and persevere in solving them.
Reason abstractly and quantitatively.
Construct viable arguments and critique the reasoning of others.
Model with mathematics.
Use appropriate tools strategically.
Attend to precision.
Look for and make use of structure.
Look for and express regularity in repeated reasoning.
Tell me where the "grouping" thing falls in here.
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Originally posted by mjr View PostOk, I'll play.
Why is 2 + 2 = 4? No matter how hard I try, I can't make it equal 1. Or six.
And simply because I wasn't taught a method doesn't make it right, either.
In terms of "correctness" this is more analogous to finding a circumference of a circle by multiplying PI times the diameter rather than PI times double the radius. They're both equally valid methods, but depending on what information you have about the circle one might be better than the other.Last edited by TheHuckster; 12-30-2015, 09:45 PM.
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Originally posted by Kheldarson View PostThat's brilliant though! You bring one number up to an easy to subtract number and you can do it in your head at that point! Fuck, I do that all the time: I have a jacket that's normally 99, I can get it for 46.48, 46.48 is basically 46.50, so 99.02 for the jacket, I'm saving 12.52 because I brought it to easier numbers to manipulate in my head.
Why is that wrong to teach?
I don't get what's hard to understand about that.
Until you get a number like 769 - 554.
Then what do you do?
My main quibble is what is called a "group" in the problem. "Three groups of five" is BACKWARD (by any definition) compared to 5 x 3.
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Originally posted by TheHuckster View PostWait, are you telling me that 5 x 3 being 3 + 3 + 3 + 3 + 3 is as wrong as saying 2 + 2 = 1?!
What I'm saying is that calling 5 x 3 "three groups of five" is wrong, no matter how hard people want to make it right.
Again: 5 x 3 is 5 + 5 + 5.
If you want 3 + 3 + 3 + 3 + 3, you need to write 3 x 5.
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Originally posted by mjr View PostNo.
What I'm saying is that calling 5 x 3 "three groups of five" is wrong, no matter how hard people want to make it right.
Again: 5 x 3 is 5 + 5 + 5.
If you want 3 + 3 + 3 + 3 + 3, you need to write 3 x 5.
I get paid monthly. Know what I do sometimes? I take the paystub, look at my withholding, and then do $X x 12 to figure out how much federal withholding I have for the year.
But, and you're going to HATE me for this, other times I do 12 x $X.
Yet, either way, I think of it as $X + $X + $X + $X + $X + $X + $X + $X + $X + $X + $X + $XLast edited by TheHuckster; 12-30-2015, 10:04 PM.
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Originally posted by TheHuckster View PostYou're arguing arbitrary semantics.
This:
XXX
XXX
XXX
XXX
XXX
is five groups of three.
This:
XXXXX
XXXXX
XXXXX
is three groups of five.
The first one is 5 x 3.
The second is 3 x 5.
I get paid monthly. Know what I do sometimes? I take the paystub, look at my withholding, and then do $X x 12 to figure out how much federal withholding I have for the year.
But, and you're going to HATE me for this, other times I do 12 x $X.
Yet, either way, I think of it as $X + $X + $X + $X + $X + $X + $X + $X + $X + $X + $X + $X
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again, we are talking about third-graders- frankly, at that level, as long as they use a method that consistently gets the right answer, I don't think it actually matters if they are adding up 3+3+3+3+3 or 5+5+5. The actual question said: use the repeated multiplication problem to work out 5 x 3.
is it useful for higher maths to know the difference? possibly- I don't think I've ever done any where it matters. That can be addressed at a higher level. Let's teach the kids how to get the correct answer first, before we worry about teaching them to pick the right method between several different ways of calculating the answer.
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Originally posted by mjr View PostI'm arguing the semantics of the question.
This:
XXX
XXX
XXX
XXX
XXX
is five groups of three.
This:
XXXXX
XXXXX
XXXXX
is three groups of five.
The first one is 5 x 3.
The second is 3 x 5.
Originally posted by mjr View PostThat's not relevant to what I'm talking about.
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Originally posted by s_stabeler View Postagain, we are talking about third-graders- frankly, at that level, as long as they use a method that consistently gets the right answer, I don't think it actually matters if they are adding up 3+3+3+3+3 or 5+5+5. The actual question said: use the repeated multiplication problem to work out 5 x 3.
QED.
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Originally posted by TheHuckster View PostI don't see it that way. Because the standard way to measure things is width X height, I think of 3 x 5 as 3 columns of 5 rows. In spreadsheets, you identify a cell by column first, then row. Horizontal, then vertical. That's the standard.
So rows and columns makes sense.
Yes it is relevant. I'm grouping my monthly income into 12 months (i.e. groups), therefore by your own semantic rules, it is wrong for me to express it as 12 x $X.Last edited by mjr; 12-30-2015, 11:49 PM.
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