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originally posted by: greencmp
If we are going to teach a useful new way of doing math, I would suggest this.
01111110*00000010=11111100
Seems more utilitarian than unnecessarily "factoring".
originally posted by: johnwick
So that very complex bs, is easier than adding 126+126?
Y'all sure it is.
Every extra step exponentially increases the chances of making a mistake and getting the wrong answer.
originally posted by: carewemust
America needs to do something to start regaining our position as a producer of intelligent professionals and leaders. It seems that most of the physicians, tech specialists and spelling-bee winners, are from other countries.
originally posted by: Aazadan(....)
Incorrect. Reducing to values of 10's and 100's drastically reduces the chances of making a mistake. Using my above example, you want to break 43*27 into 4 parts that can be answered with a times table and some simple multiplication.
40*20 = 800
40*7 = 280
3*20 = 60
3*7 = 21
Then you can further simplify that to 800+300+60+1 for 1161.
When you get really good with this method you actually start doing math from left to right like I do which is much faster (left to right is how all the fast mathematicians do it)
originally posted by: jonnywhite
But something comes to mind regarding these changes they're making to the curriculum--to the way kids are learning the math. Specifically, calculators!!!! We use them so much in the modern era. It used to be most math was done on paper. Businesses did have mechanical calculators, but they weren't exactly something every schoolboy would have. Basically, in those days doing thigns by hand was a necessary skill. But fast forward to today when even our watch has a calculator and suddenly doing things by hand isn't as meaningful. So it makes me ask: Should we change how we teach it or should we try to teach people how to do math in their head?
I think everyone is familiar with trying to do math in their head. For me, it has always been clumsy. It's easy for simple ones like 103 * 6 (100 * 6 + 3 * 6 = 618) but 112 * 36 is harder (100 * 36 + 12 * 30 + 12 * 6 = 4032). In many cases it's much easier if you have a piece of paper and a pen already. For example, the latter problem I did in ~19 seconds--probably can do faster even. But almost always a paper and pen aren't convenient. I usually use a calculator, but sometimes I don't have one. Doing these problems in my head takes much longer than doing it on paper and much much longer than doing it on the calculator. But given my memory isn't the sharpest some people out there might be doing it in their head far faster.
EDIT: I don't train myself to do the harder ones in my head, but honest to god they take MUCH longer... a problem like 347 * 81 took me several minutes to do in my head. I know, I'm retarded, but ti's the truth. If a calculator is immediately handy, I'll do the problem in ~6 seconds.
originally posted by: jonnywhite
Hey who knows maybe you're right. I hear they're taking advice from the chinese school system, since it produces so many star pupils. Problem is, do they take into account all the students who fail to meet he standard?
originally posted by: gladtobehere
Source.
The principal of an innovative West Harlem public school killed herself the day after her students took the state Common Core exams — which were later tossed out because she cheated, The Post has learned.
Theres more info at the link to the news story.
I honestly dont know much about CC but its my impression that there arent really any wrong answers, that if you "try" (or provide some type of response), youre rewarded for your efforts.
I can only imagine how badly the "education" system must be, if the principal felt compelled to cheat on exams that have no wrong answers...
Than again, if the following example is true, it wouldnt surprise me if more people started jumping into traffic.
originally posted by: Halfswede
In some cases (unlike the above example), the CC way prevents you from actually understanding what is going on with the math and is more of a trick. This will bite you later on as you no longer have the ability to determine if the answer is even reasonable. Of course, they already did this to millions of kids who are calculator dependent.
originally posted by: Aazadan(...)
Not to brag, but calculators are slow. I can do most problems faster in my head than the average person can open up a calculator app and put the numbers in. It is 100% due to this method. Calculators are still wonderful tools and they have their place, but they're not an excuse for being unable to do math yourself and this method makes it faster and easier to do math in your head than to use a calculator. I see that as a good thing.
originally posted by: jonnywhite
The method is nice, but it's still wayyyy faster for me to use a calculator if it's convenient. Maybe you've learned the methods so well you can add big numbers faster than opening up a calculator, but if the calculator is already open and a person has a lot of numbers to compute then, odds are they'll use the calculator. You might not, but that's you.
Example: I can't do 1289 * 51 in my head faster than my calculator--even if it's buried in another room. Can you? What about 138326*22783?
There's a reason people did these things on paper and with calculators. You seem to think doing it in the head is faster. Well, I don't think everybody is like you. Am I misinterpreting your statement?