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Re: Math Education: An Inconvenient Truth



Uploaded by: websnarf
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Timing out some of the methods shown in the video I am responding to. http://www.wheresthemath.com/


Tags for this video: An calculators division Education elementary Inconvenient Math mathematics multiplication outsourcing Truth

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Array ( 5 months ago by datadyne007)
Great video & proof of the fact that these new methods alone are dangerous to our youth's mathematical development.
My graduating class (I'm a senior in hs now) was the LAST class to learn the conventional methods (they switched to Everyday Math the next year)... I have a brother who is 4 years younger than me. Last year, he asked me for some help with multiplication and I was happy to help, but got quite the s
hock when he told me that "we don't do it that way!"
using a stopwatch ... ( 5 months ago by pinasks)
using a stopwatch to see which method is better??? the faster the better? Partial products is taught by 3rd grade....an analogy i would use is..eating a pizza..do you eat it as a whole? or bite by bite? so with double digits...or the like...the thing is...if Everyday Math's partial: sums, differences, products, quotients (yes partial + - * %) is taught in a school district, it takes a couple of years to see the result... it takes at least 3-4 yrs...when the 3rd graders are in middle school...
... ( 4 months ago by esm606)
deliberatedumbingdown dot com
Are you kidding, ... ( 4 months ago by MobiusCoin)
Are you kidding, did you not see the Gram-Schmidt Identity proof? When your high school math teacher asks you to prove that, how are you going to do it without long division? In fact how will you proof our handy dandy power rule for natural numbers without long division?
How I do 26*31 in ... ( 4 months ago by dudeman209)
How I do 26*31 in my head is 26*30+26 so that is 780+26=806
And how does ... ( 4 months ago by websnarf)
And how does someone check your work?
I use it for quick ... ( 4 months ago by dudeman209)
I use it for quick mental math. I can't use the actual algorithm if I don't have a piece of paper in front of me.
Of course long ... ( 4 months ago by heczkojiri)
Of course long division is important. But if you search over web, you will find much more efficient way, how to manipulate with numbers. The mentioned math example (26 x 31) can be computed in mind during max. 5 seconds:-)
And how long does ... ( 4 months ago by websnarf)
And how long does it take to check the work that happened in your mind?
Do the 13 extra ... ( 3 months ago by nattirbee)
Do the 13 extra seconds really make those other ways of solving a problem, unimportant and useless? I understand long division as you used it, yet don't see the point and fascination you have with this identity, or your connection with the identity and grade 4 math. Youngins need to understand before they can memorize becuase otherwise they will act without knowing why. Parents get upset because they don't know how to answer the question of why. you know nothin about outsourcing of American jobs
I assure you, I am ... ( 3 months ago by websnarf)
I assure you, I am under severe pressure with respect to outsourcing (I am competing directly with people making one fifth my salary). Those people all learned arithmetic the way I did and recommend. And the ones competing for my job all know the identity I showed very well. Parents will get more upset when their child gets an answer wrong and their work is impossible to check. So the kids will get bad grades without any obvious way to correct the situation.
I'd have to dock ... ( 3 months ago by EdwardHowton)
I'd have to dock points, considering that timing yourself in methods you aren't skilled with will bias the result, but I'm 100% with you on the argument. I was failed in math (several bad teachers who disliked me) and had to do adult education (90% average on my own). I noticed I couldn't divide on paper anymore, I went out of my way to learn it again, and I still use it in my everyday life despite having a calculator near me and hating math in general.
one thing to ... ( 3 months ago by yocyberness)
one thing to remember is that most schools now just try to get kids thu school.... pass the tests then dont worry about them... tonight i was trying to do an exponential algebra problem for some computer stuff.....i couldnt believe that i couldnt do it....thats why i started watching math vids... im really ashamed of myself tonight...lol but i can understand the methods of why they are teaching the lattice crap and all that... kids pick it up fast and get results on their tests. after that...
I was wondering how ... ( 3 months ago by Calliber50)
I was wondering how you could be enraged. I'm glad I watched your video. You proved it in less than 7 minutes. Excellent!
My son is in summer ... ( 3 months ago by konefka)
My son is in summer school because he didn't pass the Math portion of the CRCT. Over 60% of Georgia students this year failed the Math/CRCT. When I sat in on the summer school classes yesterday...I found this cluster method is the way they are teaching the children. I found it terribly confusing. I'm not sure what to do, I think I should teach him at home, the "old method" of multiplication and division. I've been told that will make it more difficult for him to pass the CRCT. HELP!
First of all,I ... ( 1 month ago by periwink)
First of all,I agree with you on your basic point. However, disagree with "Timing" the math problems because it merely diverts the focus on the issue. 3rdly, audio was bad for folks using earbuds! ouch! 4th: Math in general : Math is like a language. You learn to communicate w/numbers instead of words. My college texts dont cover the 'new' stuff, but i'm may not mind OCCASIONALLY using it. - I was taught the old school methods..it doesn't seem much diff. than learning algebra,Cal, etc to me...
Ideas come before ... ( 1 month ago by WorldCollections)
Ideas come before the means to communicate them. There is no use to "writing" if there were no ideas.
True, but non ... ( 1 month ago by websnarf)
True, but non sequitur. There are no "ideas" being cultivated in the act of performing arithmetic apart from just getting the result. Furthermore expressions which can be written down are far more usefully communicative than those that cannot. You also did not answer the question of what you do about any error that comes out of any purely mental method.
Yes, I can... Now ... ( 4 weeks ago by MrRodriguez314)
Yes, I can... Now try the same thing with (2x+6)(3x+1). Compare the two methods. Use a geometric model to multiply these binomials and compare to the lattice method. If students learn the reasoning behind multiplication algorithms, then they just might be able to connect them to algebra and other higher mathematics. Doing things faster, doesn't make them better. We need more students to understand mathematics. Some students follow traditional algorithms, many more do not. What about them?
Nonsense. At best, ... ( 3 weeks ago by websnarf)
Nonsense. At best, all you have done is skipped arithmetic, moved onto algebra and decided that's good enough. But the lattice method is nothing more than a slow trick. The standard method is equally justified algebraically. *Understanding* has be based *on top* of a foundation. The lattice method and these other nonsensical tricks are *NOT* a foundation.
Thank you for your ... ( 3 weeks ago by MrRodriguez314)
Thank you for your input! A discussion on mathematics is always a pleasure. My students have much trouble understanding the distributive property and consequently multiplication of polynomials. They don't understand because the traditional algorithm lays little to no foundation on which to build. Other methods, although "slower" are only so because they are unfamiliar. The standard method is elegant and beautiful, but poorly taught.
There is a simple ... ( 3 weeks ago by websnarf)
There is a simple way of explaining (a+b)*(c+d) but imagining c and d as the cost of two items and a and b two different quantities. So its a bag and a basket of apples and oranges, and you can explain it as a*(c+d)+b*(c+d) or (a+b)*c+(a+b)*d by simply arranging the items physically with some demonstration. That will stick in a student's mind in a way that will never leave them; its a direct appeal to their intuition, rather than some tricked up pattern.
It seems the ... ( 3 weeks ago by Ben0087)
It seems the cluster method would help kids understand algebra more easily. That box method is just stupid though
Makes you wonder ... ( 2 weeks ago by itsmiketonight)
Makes you wonder why American children are so far behind the rest of the world. Using the old way, we have had people innovate and create so much over the past 70 years. Now, we don't need real education, we can all be on reallity tv shows! SUHWEET!



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